examples/koda_ruskey/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="1" name="CVC5" version="1.0.5" timelimit="1" steplimit="0" memlimit="1000"/>
   6 <prover id="2" name="CVC3" version="2.4.1" timelimit="5" steplimit="0" memlimit="1000"/>
   7 <prover id="3" name="Alt-Ergo" version="2.6.0" timelimit="5" steplimit="0" memlimit="1000"/>
   8 <prover id="5" name="Eprover" version="2.0" timelimit="5" steplimit="0" memlimit="1000"/>
   9 <prover id="6" name="CVC4" version="1.8" timelimit="5" steplimit="0" memlimit="1000"/>
  10 <file format="whyml" proved="true">
  11 <path name=".."/><path name="koda_ruskey.mlw"/>
  12 <theory name="KodaRuskey_Spec" proved="true">
  13  <goal name="eq_color&#39;vc" expl="VC for eq_color" proved="true">
  14  <proof prover="3"><result status="valid" time="0.000000" steps="8"/></proof>
  15  <proof prover="6"><result status="valid" time="0.030000" steps="2751"/></proof>
  16  </goal>
  17  <goal name="size_forest_nonneg" proved="true">
  18  <transf name="induction_ty_lex" proved="true" >
  19   <goal name="size_forest_nonneg.0" proved="true">
  20   <proof prover="3"><result status="valid" time="0.000000" steps="13"/></proof>
  21   <proof prover="6"><result status="valid" time="0.030000" steps="2967"/></proof>
  22   </goal>
  23  </transf>
  24  </goal>
  25  <goal name="count_forest_nonneg" proved="true">
  26  <transf name="induction_ty_lex" proved="true" >
  27   <goal name="count_forest_nonneg.0" proved="true">
  28   <proof prover="3"><result status="valid" time="0.010000" steps="27"/></proof>
  29   <proof prover="6"><result status="valid" time="0.050000" steps="3533"/></proof>
  30   </goal>
  31  </transf>
  32  </goal>
  33 </theory>
  34 <theory name="Lemmas" proved="true">
  35  <goal name="mem_app" proved="true">
  36  <transf name="induction_ty_lex" proved="true" >
  37   <goal name="mem_app.0" proved="true">
  38   <proof prover="3"><result status="valid" time="0.010000" steps="71"/></proof>
  39   <proof prover="6"><result status="valid" time="0.060000" steps="7004"/></proof>
  40   </goal>
  41  </transf>
  42  </goal>
  43  <goal name="size_stack_nonneg" proved="true">
  44  <transf name="induction_ty_lex" proved="true" >
  45   <goal name="size_stack_nonneg.0" proved="true">
  46   <proof prover="3"><result status="valid" time="0.010000" steps="35"/></proof>
  47   <proof prover="6"><result status="valid" time="0.060000" steps="5865"/></proof>
  48   </goal>
  49  </transf>
  50  </goal>
  51  <goal name="white_forest_equiv" proved="true">
  52  <transf name="induction_ty_lex" proved="true" >
  53   <goal name="white_forest_equiv.0" proved="true">
  54   <proof prover="3"><result status="valid" time="0.020000" steps="222"/></proof>
  55   <proof prover="6"><result status="valid" time="0.060000" steps="6652"/></proof>
  56   </goal>
  57  </transf>
  58  </goal>
  59  <goal name="any_forest_frame" proved="true">
  60  <transf name="induction_ty_lex" proved="true" >
  61   <goal name="any_forest_frame.0" proved="true">
  62   <proof prover="3"><result status="valid" time="0.040000" steps="358"/></proof>
  63   <proof prover="6"><result status="valid" time="0.110000" steps="12962"/></proof>
  64   </goal>
  65  </transf>
  66  </goal>
  67  <goal name="any_stack_frame" proved="true">
  68  <transf name="induction_ty_lex" proved="true" >
  69   <goal name="any_stack_frame.0" proved="true">
  70   <transf name="split_vc" proved="true" >
  71    <goal name="any_stack_frame.0.0" proved="true">
  72    <proof prover="3"><result status="valid" time="0.000000" steps="19"/></proof>
  73    <proof prover="6"><result status="valid" time="0.050000" steps="5993"/></proof>
  74    </goal>
  75    <goal name="any_stack_frame.0.1" proved="true">
  76    <transf name="compute_in_goal" proved="true" >
  77     <goal name="any_stack_frame.0.1.0" proved="true">
  78     <transf name="split_vc" proved="true" >
  79      <goal name="any_stack_frame.0.1.0.0" proved="true">
  80      <proof prover="3"><result status="valid" time="0.020000" steps="172"/></proof>
  81      <proof prover="6"><result status="valid" time="0.070000" steps="7971"/></proof>
  82      </goal>
  83      <goal name="any_stack_frame.0.1.0.1" proved="true">
  84      <proof prover="2"><result status="valid" time="0.080000"/></proof>
  85      </goal>
  86     </transf>
  87     </goal>
  88    </transf>
  89    </goal>
  90   </transf>
  91   </goal>
  92  </transf>
  93  </goal>
  94  <goal name="inverse_frame" proved="true">
  95  <transf name="induction_ty_lex" proved="true" >
  96   <goal name="inverse_frame.0" proved="true">
  97   <proof prover="3"><result status="valid" time="0.050000" steps="229"/></proof>
  98   </goal>
  99  </transf>
 100  </goal>
 101  <goal name="inverse_frame2" proved="true">
 102  <transf name="induction_ty_lex" proved="true" >
 103   <goal name="inverse_frame2.0" proved="true">
 104   <proof prover="3"><result status="valid" time="0.050000" steps="225"/></proof>
 105   </goal>
 106  </transf>
 107  </goal>
 108  <goal name="inverse_any&#39;vc" expl="VC for inverse_any" proved="true">
 109  <transf name="induction_ty_lex" proved="true" >
 110   <goal name="inverse_any&#39;vc.0" expl="VC for inverse_any" proved="true">
 111   <proof prover="3"><result status="valid" time="0.020000" steps="75"/></proof>
 112   <proof prover="6"><result status="valid" time="0.050000" steps="7787"/></proof>
 113   </goal>
 114  </transf>
 115  </goal>
 116  <goal name="inverse_final" proved="true">
 117  <proof prover="3"><result status="valid" time="0.150000" steps="683"/></proof>
 118  </goal>
 119  <goal name="inverse_white" proved="true">
 120  <proof prover="3"><result status="valid" time="0.010000" steps="69"/></proof>
 121  <proof prover="6"><result status="valid" time="0.060000" steps="7653"/></proof>
 122  </goal>
 123  <goal name="white_final_exclusive&#39;vc" expl="VC for white_final_exclusive" proved="true">
 124  <proof prover="3"><result status="valid" time="0.020000" steps="29"/></proof>
 125  </goal>
 126  <goal name="final_unique" proved="true">
 127  <transf name="induction_ty_lex" proved="true" >
 128   <goal name="final_unique.0" proved="true">
 129   <proof prover="3"><result status="valid" time="0.040000" steps="510"/></proof>
 130   <proof prover="6"><result status="valid" time="0.070000" steps="8804"/></proof>
 131   </goal>
 132  </transf>
 133  </goal>
 134  <goal name="inverse_inverse&#39;vc" expl="VC for inverse_inverse" proved="true">
 135  <proof prover="3"><result status="valid" time="0.163746" steps="3154"/></proof>
 136  <proof prover="6"><result status="valid" time="0.450000" steps="38955"/></proof>
 137  </goal>
 138  <goal name="sub_not_nil" proved="true">
 139  <transf name="induction_pr" proved="true" >
 140   <goal name="sub_not_nil.0" proved="true">
 141   <proof prover="3"><result status="valid" time="0.020000" steps="21"/></proof>
 142   <proof prover="6"><result status="valid" time="0.060000" steps="7382"/></proof>
 143   </goal>
 144   <goal name="sub_not_nil.1" proved="true">
 145   <proof prover="3"><result status="valid" time="0.010000" steps="10"/></proof>
 146   <proof prover="6"><result status="valid" time="0.040000" steps="7624"/></proof>
 147   </goal>
 148   <goal name="sub_not_nil.2" proved="true">
 149   <proof prover="3"><result status="valid" time="0.020000" steps="60"/></proof>
 150   <proof prover="6"><result status="valid" time="0.080000" steps="10336"/></proof>
 151   </goal>
 152  </transf>
 153  </goal>
 154  <goal name="sub_empty" proved="true">
 155  <transf name="induction_pr" proved="true" >
 156   <goal name="sub_empty.0" proved="true">
 157   <proof prover="3"><result status="valid" time="0.010000" steps="28"/></proof>
 158   <proof prover="6"><result status="valid" time="0.070000" steps="8596"/></proof>
 159   </goal>
 160   <goal name="sub_empty.1" proved="true">
 161   <proof prover="3"><result status="valid" time="0.020000" steps="29"/></proof>
 162   <proof prover="6"><result status="valid" time="0.070000" steps="9222"/></proof>
 163   </goal>
 164   <goal name="sub_empty.2" proved="true">
 165   <proof prover="6"><result status="valid" time="0.150000" steps="17072"/></proof>
 166   </goal>
 167  </transf>
 168  </goal>
 169  <goal name="sub_mem" proved="true">
 170  <transf name="induction_pr" proved="true" >
 171   <goal name="sub_mem.0" proved="true">
 172   <proof prover="3"><result status="valid" time="0.020000" steps="38"/></proof>
 173   <proof prover="6"><result status="valid" time="0.060000" steps="8604"/></proof>
 174   </goal>
 175   <goal name="sub_mem.1" proved="true">
 176   <proof prover="3"><result status="valid" time="0.010000" steps="25"/></proof>
 177   <proof prover="6"><result status="valid" time="0.050000" steps="7410"/></proof>
 178   </goal>
 179   <goal name="sub_mem.2" proved="true">
 180   <proof prover="3"><result status="valid" time="0.030000" steps="191"/></proof>
 181   <proof prover="6"><result status="valid" time="0.070000" steps="11067"/></proof>
 182   </goal>
 183  </transf>
 184  </goal>
 185  <goal name="sub_weaken1" proved="true">
 186  <transf name="induction_pr" proved="true" >
 187   <goal name="sub_weaken1.0" proved="true">
 188   <proof prover="3"><result status="valid" time="0.040000" steps="333"/></proof>
 189   <proof prover="6"><result status="valid" time="0.080000" steps="9920"/></proof>
 190   </goal>
 191   <goal name="sub_weaken1.1" proved="true">
 192   <proof prover="3"><result status="valid" time="0.020000" steps="35"/></proof>
 193   <proof prover="6"><result status="valid" time="0.060000" steps="9350"/></proof>
 194   </goal>
 195   <goal name="sub_weaken1.2" proved="true">
 196   <proof prover="6"><result status="valid" time="0.160000" steps="19247"/></proof>
 197   </goal>
 198  </transf>
 199  </goal>
 200  <goal name="sub_weaken2" proved="true">
 201  <transf name="induction_pr" proved="true" >
 202   <goal name="sub_weaken2.0" proved="true">
 203   <proof prover="6"><result status="valid" time="0.100000" steps="14475"/></proof>
 204   </goal>
 205   <goal name="sub_weaken2.1" proved="true">
 206   <proof prover="3"><result status="valid" time="0.020000" steps="39"/></proof>
 207   <proof prover="6"><result status="valid" time="0.060000" steps="9737"/></proof>
 208   </goal>
 209   <goal name="sub_weaken2.2" proved="true">
 210   <proof prover="6"><result status="valid" time="0.270000" steps="29588"/></proof>
 211   </goal>
 212  </transf>
 213  </goal>
 214  <goal name="not_mem_st" proved="true">
 215  <transf name="induction_pr" proved="true" >
 216   <goal name="not_mem_st.0" proved="true">
 217   <proof prover="3"><result status="valid" time="0.020000" steps="38"/></proof>
 218   <proof prover="6"><result status="valid" time="0.070000" steps="8910"/></proof>
 219   </goal>
 220   <goal name="not_mem_st.1" proved="true">
 221   <proof prover="3"><result status="valid" time="0.020000" steps="25"/></proof>
 222   <proof prover="6"><result status="valid" time="0.050000" steps="7781"/></proof>
 223   </goal>
 224   <goal name="not_mem_st.2" proved="true">
 225   <proof prover="3"><result status="valid" time="0.030000" steps="221"/></proof>
 226   <proof prover="6"><result status="valid" time="0.080000" steps="11379"/></proof>
 227   </goal>
 228  </transf>
 229  </goal>
 230  <goal name="sub_frame" proved="true">
 231  <transf name="induction_pr" proved="true" >
 232   <goal name="sub_frame.0" proved="true">
 233   <proof prover="3"><result status="valid" time="0.010000" steps="22"/></proof>
 234   <proof prover="6"><result status="valid" time="0.060000" steps="8902"/></proof>
 235   </goal>
 236   <goal name="sub_frame.1" proved="true">
 237   <proof prover="3"><result status="valid" time="0.050000" steps="352"/></proof>
 238   <proof prover="6"><result status="valid" time="0.070000" steps="9779"/></proof>
 239   </goal>
 240   <goal name="sub_frame.2" proved="true">
 241   <proof prover="6"><result status="valid" time="0.130000" steps="17653"/></proof>
 242   </goal>
 243  </transf>
 244  </goal>
 245  <goal name="sub_no_rep" proved="true">
 246  <transf name="induction_pr" proved="true" >
 247   <goal name="sub_no_rep.0" proved="true">
 248   <proof prover="3"><result status="valid" time="0.020000" steps="31"/></proof>
 249   <proof prover="6"><result status="valid" time="0.060000" steps="9467"/></proof>
 250   </goal>
 251   <goal name="sub_no_rep.1" proved="true">
 252   <proof prover="3"><result status="valid" time="0.020000" steps="32"/></proof>
 253   <proof prover="6"><result status="valid" time="0.060000" steps="9110"/></proof>
 254   </goal>
 255   <goal name="sub_no_rep.2" proved="true">
 256   <proof prover="6"><result status="valid" time="0.110000" steps="15493"/></proof>
 257   </goal>
 258  </transf>
 259  </goal>
 260  <goal name="sub_no_rep2" proved="true">
 261  <transf name="induction_pr" proved="true" >
 262   <goal name="sub_no_rep2.0" proved="true">
 263   <proof prover="3"><result status="valid" time="0.010000" steps="73"/></proof>
 264   <proof prover="6"><result status="valid" time="0.060000" steps="9739"/></proof>
 265   </goal>
 266   <goal name="sub_no_rep2.1" proved="true">
 267   <proof prover="3"><result status="valid" time="0.010000" steps="31"/></proof>
 268   <proof prover="6"><result status="valid" time="0.060000" steps="9289"/></proof>
 269   </goal>
 270   <goal name="sub_no_rep2.2" proved="true">
 271   <proof prover="1"><result status="valid" time="0.317668" steps="44059"/></proof>
 272   </goal>
 273  </transf>
 274  </goal>
 275  <goal name="white_valid" proved="true">
 276  <transf name="induction_ty_lex" proved="true" >
 277   <goal name="white_valid.0" proved="true">
 278   <proof prover="3"><result status="valid" time="0.020000" steps="118"/></proof>
 279   <proof prover="6"><result status="valid" time="0.060000" steps="9617"/></proof>
 280   </goal>
 281  </transf>
 282  </goal>
 283  <goal name="final_valid" proved="true">
 284  <transf name="induction_ty_lex" proved="true" >
 285   <goal name="final_valid.0" proved="true">
 286   <proof prover="3"><result status="valid" time="0.020000" steps="110"/></proof>
 287   <proof prover="6"><result status="valid" time="0.070000" steps="9837"/></proof>
 288   </goal>
 289  </transf>
 290  </goal>
 291  <goal name="valid_coloring_frame" proved="true">
 292  <transf name="induction_ty_lex" proved="true" >
 293   <goal name="valid_coloring_frame.0" proved="true">
 294   <proof prover="3"><result status="valid" time="0.080000" steps="649"/></proof>
 295   <proof prover="6"><result status="valid" time="0.100000" steps="14084"/></proof>
 296   </goal>
 297  </transf>
 298  </goal>
 299  <goal name="valid_coloring_set" proved="true">
 300  <transf name="induction_ty_lex" proved="true" >
 301   <goal name="valid_coloring_set.0" proved="true">
 302   <proof prover="3"><result status="valid" time="0.020000" steps="100"/></proof>
 303   <proof prover="6"><result status="valid" time="0.070000" steps="10534"/></proof>
 304   </goal>
 305  </transf>
 306  </goal>
 307  <goal name="head_and_tail" proved="true">
 308  <transf name="induction_ty_lex" proved="true" >
 309   <goal name="head_and_tail.0" proved="true">
 310   <proof prover="3"><result status="valid" time="0.020000" steps="93"/></proof>
 311   <proof prover="6"><result status="valid" time="0.080000" steps="13578"/></proof>
 312   </goal>
 313  </transf>
 314  </goal>
 315  <goal name="sub_valid_coloring_f1" proved="true">
 316  <proof prover="3"><result status="valid" time="0.040000" steps="302"/></proof>
 317  <proof prover="6"><result status="valid" time="0.070000" steps="10843"/></proof>
 318  </goal>
 319  <goal name="sub_valid_coloring" proved="true">
 320  <transf name="induction_pr" proved="true" >
 321   <goal name="sub_valid_coloring.0" proved="true">
 322   <proof prover="3"><result status="valid" time="0.040000" steps="529"/></proof>
 323   <proof prover="6"><result status="valid" time="0.080000" steps="13205"/></proof>
 324   </goal>
 325   <goal name="sub_valid_coloring.1" proved="true">
 326   <transf name="split_vc" proved="true" >
 327    <goal name="sub_valid_coloring.1.0" proved="true">
 328    <transf name="compute_in_goal" proved="true" >
 329     <goal name="sub_valid_coloring.1.0.0" proved="true">
 330     <transf name="split_vc" proved="true" >
 331      <goal name="sub_valid_coloring.1.0.0.0" proved="true">
 332      <proof prover="3"><result status="valid" time="0.160000" steps="3173"/></proof>
 333      <proof prover="6"><result status="valid" time="0.160000" steps="25222"/></proof>
 334      </goal>
 335      <goal name="sub_valid_coloring.1.0.0.1" proved="true">
 336      <proof prover="2"><result status="valid" time="2.290000"/></proof>
 337      </goal>
 338      <goal name="sub_valid_coloring.1.0.0.2" proved="true">
 339      <proof prover="2"><result status="valid" time="1.760000"/></proof>
 340      </goal>
 341     </transf>
 342     </goal>
 343    </transf>
 344    </goal>
 345   </transf>
 346   </goal>
 347   <goal name="sub_valid_coloring.2" proved="true">
 348   <proof prover="3"><result status="valid" time="0.153095" steps="4820"/></proof>
 349   </goal>
 350  </transf>
 351  </goal>
 352  <goal name="sub_Cons_N" proved="true">
 353  <transf name="induction_pr" proved="true" >
 354   <goal name="sub_Cons_N.0" proved="true">
 355   <proof prover="3"><result status="valid" time="0.020000" steps="61"/></proof>
 356   <proof prover="6"><result status="valid" time="0.080000" steps="11601"/></proof>
 357   </goal>
 358   <goal name="sub_Cons_N.1" proved="true">
 359   <proof prover="3"><result status="valid" time="0.020000" steps="106"/></proof>
 360   <proof prover="6"><result status="valid" time="0.070000" steps="12256"/></proof>
 361   </goal>
 362   <goal name="sub_Cons_N.2" proved="true">
 363   <proof prover="3"><result status="valid" time="0.080000" steps="1163"/></proof>
 364   <proof prover="6"><result status="valid" time="0.080000" steps="13307"/></proof>
 365   </goal>
 366  </transf>
 367  </goal>
 368  <goal name="white_white" proved="true">
 369  <proof prover="3"><result status="valid" time="0.020000" steps="52"/></proof>
 370  <proof prover="6"><result status="valid" time="0.070000" steps="10284"/></proof>
 371  </goal>
 372  <goal name="sub_valid_coloring_white&#39;vc" expl="VC for sub_valid_coloring_white" proved="true">
 373  <transf name="split_vc" proved="true" >
 374   <goal name="sub_valid_coloring_white&#39;vc.0" expl="variant decrease" proved="true">
 375   <proof prover="3"><result status="valid" time="0.030000" steps="242"/></proof>
 376   <proof prover="6"><result status="valid" time="0.070000" steps="10734"/></proof>
 377   </goal>
 378   <goal name="sub_valid_coloring_white&#39;vc.1" expl="precondition" proved="true">
 379   <proof prover="3"><result status="valid" time="0.010000" steps="29"/></proof>
 380   <proof prover="6"><result status="valid" time="0.050000" steps="9766"/></proof>
 381   </goal>
 382   <goal name="sub_valid_coloring_white&#39;vc.2" expl="precondition" proved="true">
 383   <proof prover="3"><result status="valid" time="0.020000" steps="57"/></proof>
 384   <proof prover="6"><result status="valid" time="0.070000" steps="10347"/></proof>
 385   </goal>
 386   <goal name="sub_valid_coloring_white&#39;vc.3" expl="precondition" proved="true">
 387   <proof prover="3"><result status="valid" time="0.010000" steps="24"/></proof>
 388   <proof prover="6"><result status="valid" time="0.040000" steps="9504"/></proof>
 389   </goal>
 390   <goal name="sub_valid_coloring_white&#39;vc.4" expl="variant decrease" proved="true">
 391   <proof prover="3"><result status="valid" time="0.030000" steps="244"/></proof>
 392   <proof prover="6"><result status="valid" time="0.080000" steps="11745"/></proof>
 393   </goal>
 394   <goal name="sub_valid_coloring_white&#39;vc.5" expl="precondition" proved="true">
 395   <proof prover="3"><result status="valid" time="0.020000" steps="29"/></proof>
 396   <proof prover="6"><result status="valid" time="0.060000" steps="10706"/></proof>
 397   </goal>
 398   <goal name="sub_valid_coloring_white&#39;vc.6" expl="precondition" proved="true">
 399   <proof prover="3"><result status="valid" time="0.010000" steps="28"/></proof>
 400   <proof prover="6"><result status="valid" time="0.060000" steps="10728"/></proof>
 401   </goal>
 402   <goal name="sub_valid_coloring_white&#39;vc.7" expl="precondition" proved="true">
 403   <proof prover="3"><result status="valid" time="0.010000" steps="24"/></proof>
 404   <proof prover="6"><result status="valid" time="0.040000" steps="10409"/></proof>
 405   </goal>
 406   <goal name="sub_valid_coloring_white&#39;vc.8" expl="postcondition" proved="true">
 407   <transf name="compute_in_goal" proved="true" >
 408    <goal name="sub_valid_coloring_white&#39;vc.8.0" expl="postcondition" proved="true">
 409    <transf name="split_vc" proved="true" >
 410     <goal name="sub_valid_coloring_white&#39;vc.8.0.0" expl="postcondition" proved="true">
 411     <proof prover="2"><result status="valid" time="3.500000"/></proof>
 412     </goal>
 413     <goal name="sub_valid_coloring_white&#39;vc.8.0.1" expl="postcondition" proved="true">
 414     <proof prover="3"><result status="valid" time="0.376082" steps="12128"/></proof>
 415     </goal>
 416     <goal name="sub_valid_coloring_white&#39;vc.8.0.2" expl="postcondition" proved="true">
 417     <proof prover="2"><result status="valid" time="2.990000"/></proof>
 418     </goal>
 419    </transf>
 420    </goal>
 421   </transf>
 422   </goal>
 423  </transf>
 424  </goal>
 425  <goal name="count_stack_nonneg" proved="true">
 426  <transf name="induction_ty_lex" proved="true" >
 427   <goal name="count_stack_nonneg.0" proved="true">
 428   <proof prover="3"><result status="valid" time="0.020000" steps="73"/></proof>
 429   <proof prover="6"><result status="valid" time="0.090000" steps="16704"/></proof>
 430   </goal>
 431  </transf>
 432  </goal>
 433  <goal name="stored_trans1&#39;vc" expl="VC for stored_trans1" proved="true">
 434  <proof prover="3"><result status="valid" time="0.266409" steps="4317"/></proof>
 435  </goal>
 436  <goal name="stored_trans2&#39;vc" expl="VC for stored_trans2" proved="true">
 437  <proof prover="3"><result status="valid" time="0.400000" steps="4267"/></proof>
 438  </goal>
 439 </theory>
 440 <theory name="KodaRuskey" proved="true">
 441  <goal name="enum&#39;vc" expl="VC for enum" proved="true">
 442  <transf name="split_goal_right" proved="true" >
 443   <goal name="enum&#39;vc.0" expl="unreachable point" proved="true">
 444   <proof prover="3"><result status="valid" time="0.020000" steps="14"/></proof>
 445   <proof prover="6"><result status="valid" time="0.080000" steps="15267"/></proof>
 446   </goal>
 447   <goal name="enum&#39;vc.1" expl="assertion" proved="true">
 448   <proof prover="3"><result status="valid" time="0.020000" steps="17"/></proof>
 449   <proof prover="6"><result status="valid" time="0.070000" steps="15369"/></proof>
 450   </goal>
 451   <goal name="enum&#39;vc.2" expl="postcondition" proved="true">
 452   <proof prover="3"><result status="valid" time="0.010000" steps="14"/></proof>
 453   <proof prover="6"><result status="valid" time="0.060000" steps="14303"/></proof>
 454   </goal>
 455   <goal name="enum&#39;vc.3" expl="postcondition" proved="true">
 456   <proof prover="3"><result status="valid" time="0.040000" steps="104"/></proof>
 457   <proof prover="6"><result status="valid" time="0.140000" steps="19800"/></proof>
 458   </goal>
 459   <goal name="enum&#39;vc.4" expl="postcondition" proved="true">
 460   <proof prover="3"><result status="valid" time="0.020000" steps="17"/></proof>
 461   <proof prover="6"><result status="valid" time="0.080000" steps="17857"/></proof>
 462   </goal>
 463   <goal name="enum&#39;vc.5" expl="postcondition" proved="true">
 464   <proof prover="3"><result status="valid" time="0.060000" steps="785"/></proof>
 465   </goal>
 466   <goal name="enum&#39;vc.6" expl="variant decrease" proved="true">
 467   <proof prover="3"><result status="valid" time="0.050000" steps="411"/></proof>
 468   <proof prover="6"><result status="valid" time="0.110000" steps="17530"/></proof>
 469   </goal>
 470   <goal name="enum&#39;vc.7" expl="precondition" proved="true">
 471   <proof prover="3"><result status="valid" time="0.020000" steps="30"/></proof>
 472   <proof prover="6"><result status="valid" time="0.080000" steps="15433"/></proof>
 473   </goal>
 474   <goal name="enum&#39;vc.8" expl="precondition" proved="true">
 475   <proof prover="3"><result status="valid" time="0.020000" steps="30"/></proof>
 476   <proof prover="6"><result status="valid" time="0.080000" steps="15446"/></proof>
 477   </goal>
 478   <goal name="enum&#39;vc.9" expl="precondition" proved="true">
 479   <proof prover="3"><result status="valid" time="0.030000" steps="78"/></proof>
 480   <proof prover="6"><result status="valid" time="0.100000" steps="16159"/></proof>
 481   </goal>
 482   <goal name="enum&#39;vc.10" expl="precondition" proved="true">
 483   <proof prover="3"><result status="valid" time="0.030000" steps="43"/></proof>
 484   <proof prover="6"><result status="valid" time="0.100000" steps="16128"/></proof>
 485   </goal>
 486   <goal name="enum&#39;vc.11" expl="precondition" proved="true">
 487   <proof prover="3"><result status="valid" time="0.020000" steps="46"/></proof>
 488   <proof prover="6"><result status="valid" time="0.110000" steps="16176"/></proof>
 489   </goal>
 490   <goal name="enum&#39;vc.12" expl="precondition" proved="true">
 491   <proof prover="3"><result status="valid" time="0.010000" steps="30"/></proof>
 492   <proof prover="6"><result status="valid" time="0.080000" steps="15572"/></proof>
 493   </goal>
 494   <goal name="enum&#39;vc.13" expl="postcondition" proved="true">
 495   <proof prover="3"><result status="valid" time="0.030000" steps="58"/></proof>
 496   <proof prover="6"><result status="valid" time="0.120000" steps="18096"/></proof>
 497   </goal>
 498   <goal name="enum&#39;vc.14" expl="postcondition" proved="true">
 499   <proof prover="3"><result status="valid" time="0.040000" steps="306"/></proof>
 500   <proof prover="6"><result status="valid" time="0.120000" steps="18301"/></proof>
 501   </goal>
 502   <goal name="enum&#39;vc.15" expl="postcondition" proved="true">
 503   <proof prover="3"><result status="valid" time="0.020000" steps="36"/></proof>
 504   <proof prover="6"><result status="valid" time="0.080000" steps="15544"/></proof>
 505   </goal>
 506   <goal name="enum&#39;vc.16" expl="postcondition" proved="true">
 507   <proof prover="3"><result status="valid" time="0.501783" steps="17448"/></proof>
 508   </goal>
 509   <goal name="enum&#39;vc.17" expl="assertion" proved="true">
 510   <proof prover="3"><result status="valid" time="0.107344" steps="4256"/></proof>
 511   <proof prover="6"><result status="valid" time="0.200000" steps="30374"/></proof>
 512   </goal>
 513   <goal name="enum&#39;vc.18" expl="assertion" proved="true">
 514   <proof prover="3"><result status="valid" time="0.108005" steps="4169"/></proof>
 515   <proof prover="6"><result status="valid" time="0.220000" steps="30239"/></proof>
 516   </goal>
 517   <goal name="enum&#39;vc.19" expl="index in array bounds" proved="true">
 518   <proof prover="5"><result status="valid" time="0.480000"/></proof>
 519   </goal>
 520   <goal name="enum&#39;vc.20" expl="variant decrease" proved="true">
 521   <proof prover="3"><result status="valid" time="0.060000" steps="1016"/></proof>
 522   <proof prover="6"><result status="valid" time="0.150000" steps="22053"/></proof>
 523   </goal>
 524   <goal name="enum&#39;vc.21" expl="precondition" proved="true">
 525   <proof prover="3"><result status="valid" time="0.020000" steps="34"/></proof>
 526   <proof prover="6"><result status="valid" time="0.070000" steps="15507"/></proof>
 527   </goal>
 528   <goal name="enum&#39;vc.22" expl="precondition" proved="true">
 529   <proof prover="3"><result status="valid" time="0.020000" steps="34"/></proof>
 530   <proof prover="6"><result status="valid" time="0.080000" steps="15524"/></proof>
 531   </goal>
 532   <goal name="enum&#39;vc.23" expl="precondition" proved="true">
 533   <proof prover="3"><result status="valid" time="0.030000" steps="54"/></proof>
 534   <proof prover="6"><result status="valid" time="0.110000" steps="16222"/></proof>
 535   </goal>
 536   <goal name="enum&#39;vc.24" expl="precondition" proved="true">
 537   <proof prover="3"><result status="valid" time="0.020000" steps="14"/></proof>
 538   <proof prover="6"><result status="valid" time="0.080000" steps="14303"/></proof>
 539   </goal>
 540   <goal name="enum&#39;vc.25" expl="precondition" proved="true">
 541   <proof prover="3"><result status="valid" time="0.080000" steps="1365"/></proof>
 542   <proof prover="6"><result status="valid" time="0.130000" steps="17982"/></proof>
 543   </goal>
 544   <goal name="enum&#39;vc.26" expl="precondition" proved="true">
 545   <proof prover="3"><result status="valid" time="0.020000" steps="34"/></proof>
 546   <proof prover="6"><result status="valid" time="0.080000" steps="15621"/></proof>
 547   </goal>
 548   <goal name="enum&#39;vc.27" expl="assertion" proved="true">
 549   <proof prover="3"><result status="valid" time="0.275794" steps="11019"/></proof>
 550   <proof prover="6"><result status="valid" time="0.260000" steps="36614"/></proof>
 551   </goal>
 552   <goal name="enum&#39;vc.28" expl="index in array bounds" proved="true">
 553   <proof prover="5"><result status="valid" time="0.500000"/></proof>
 554   </goal>
 555   <goal name="enum&#39;vc.29" expl="assertion" proved="true">
 556   <proof prover="3"><result status="valid" time="0.237250" steps="9975"/></proof>
 557   <proof prover="6"><result status="valid" time="0.360000" steps="52303"/></proof>
 558   </goal>
 559   <goal name="enum&#39;vc.30" expl="assertion" proved="true">
 560   <proof prover="5"><result status="valid" time="0.180000"/></proof>
 561   <proof prover="6"><result status="valid" time="0.580000" steps="71352"/></proof>
 562   </goal>
 563   <goal name="enum&#39;vc.31" expl="assertion" proved="true">
 564   <proof prover="3"><result status="valid" time="0.239148" steps="6305"/></proof>
 565   <proof prover="6"><result status="valid" time="0.140000" steps="20346"/></proof>
 566   </goal>
 567   <goal name="enum&#39;vc.32" expl="assertion" proved="true">
 568   <proof prover="3"><result status="valid" time="0.040000" steps="85"/></proof>
 569   <proof prover="6"><result status="valid" time="0.110000" steps="17721"/></proof>
 570   </goal>
 571   <goal name="enum&#39;vc.33" expl="variant decrease" proved="true">
 572   <proof prover="3"><result status="valid" time="0.050000" steps="365"/></proof>
 573   <proof prover="6"><result status="valid" time="0.130000" steps="20718"/></proof>
 574   </goal>
 575   <goal name="enum&#39;vc.34" expl="precondition" proved="true">
 576   <proof prover="3"><result status="valid" time="0.020000" steps="44"/></proof>
 577   <proof prover="6"><result status="valid" time="0.100000" steps="17767"/></proof>
 578   </goal>
 579   <goal name="enum&#39;vc.35" expl="precondition" proved="true">
 580   <proof prover="3"><result status="valid" time="0.020000" steps="44"/></proof>
 581   <proof prover="6"><result status="valid" time="0.090000" steps="17841"/></proof>
 582   </goal>
 583   <goal name="enum&#39;vc.36" expl="precondition" proved="true">
 584   <proof prover="3"><result status="valid" time="0.040000" steps="93"/></proof>
 585   <proof prover="6"><result status="valid" time="0.100000" steps="18222"/></proof>
 586   </goal>
 587   <goal name="enum&#39;vc.37" expl="precondition" proved="true">
 588   <proof prover="3"><result status="valid" time="0.020000" steps="14"/></proof>
 589   <proof prover="6"><result status="valid" time="0.070000" steps="14303"/></proof>
 590   </goal>
 591   <goal name="enum&#39;vc.38" expl="precondition" proved="true">
 592   <proof prover="3"><result status="valid" time="0.160000" steps="2118"/></proof>
 593   <proof prover="6"><result status="valid" time="0.140000" steps="21127"/></proof>
 594   </goal>
 595   <goal name="enum&#39;vc.39" expl="precondition" proved="true">
 596   <proof prover="3"><result status="valid" time="0.040000" steps="99"/></proof>
 597   <proof prover="6"><result status="valid" time="0.120000" steps="20814"/></proof>
 598   </goal>
 599   <goal name="enum&#39;vc.40" expl="assertion" proved="true">
 600   <proof prover="3"><result status="valid" time="0.730939" steps="11878"/></proof>
 601   <proof prover="6"><result status="valid" time="0.150000" steps="22474"/></proof>
 602   </goal>
 603   <goal name="enum&#39;vc.41" expl="assertion" proved="true">
 604   <proof prover="3"><result status="valid" time="0.040000" steps="104"/></proof>
 605   <proof prover="6"><result status="valid" time="0.100000" steps="18853"/></proof>
 606   </goal>
 607   <goal name="enum&#39;vc.42" expl="assertion" proved="true">
 608   <proof prover="6"><result status="valid" time="0.160000" steps="24126"/></proof>
 609   </goal>
 610   <goal name="enum&#39;vc.43" expl="precondition" proved="true">
 611   <proof prover="3"><result status="valid" time="0.020000" steps="72"/></proof>
 612   <proof prover="6"><result status="valid" time="0.100000" steps="19420"/></proof>
 613   </goal>
 614   <goal name="enum&#39;vc.44" expl="precondition" proved="true">
 615   <proof prover="5"><result status="valid" time="0.620000"/></proof>
 616   </goal>
 617   <goal name="enum&#39;vc.45" expl="precondition" proved="true">
 618   <proof prover="3"><result status="valid" time="0.569241" steps="14186"/></proof>
 619   <proof prover="6"><result status="valid" time="0.280000" steps="40813"/></proof>
 620   </goal>
 621   <goal name="enum&#39;vc.46" expl="precondition" proved="true">
 622   <proof prover="3"><result status="valid" time="0.508180" steps="12104"/></proof>
 623   <proof prover="6"><result status="valid" time="0.220000" steps="32924"/></proof>
 624   </goal>
 625   <goal name="enum&#39;vc.47" expl="precondition" proved="true">
 626   <proof prover="3"><result status="valid" time="0.606703" steps="13922"/></proof>
 627   <proof prover="6"><result status="valid" time="0.220000" steps="33197"/></proof>
 628   </goal>
 629   <goal name="enum&#39;vc.48" expl="precondition" proved="true">
 630   <proof prover="3"><result status="valid" time="0.020000" steps="72"/></proof>
 631   <proof prover="6"><result status="valid" time="0.090000" steps="17155"/></proof>
 632   </goal>
 633   <goal name="enum&#39;vc.49" expl="precondition" proved="true">
 634   <proof prover="3"><result status="valid" time="0.020000" steps="72"/></proof>
 635   <proof prover="6"><result status="valid" time="0.090000" steps="16449"/></proof>
 636   </goal>
 637   <goal name="enum&#39;vc.50" expl="postcondition" proved="true">
 638   <proof prover="3"><result status="valid" time="2.690039" steps="84428"/></proof>
 639   <proof prover="6"><result status="valid" time="0.915018" steps="86082"/></proof>
 640   </goal>
 641   <goal name="enum&#39;vc.51" expl="postcondition" proved="true">
 642   <proof prover="6"><result status="valid" time="0.740000" steps="66790"/></proof>
 643   </goal>
 644   <goal name="enum&#39;vc.52" expl="postcondition" proved="true">
 645   <proof prover="3"><result status="valid" time="0.020000" steps="72"/></proof>
 646   <proof prover="6"><result status="valid" time="0.070000" steps="16345"/></proof>
 647   </goal>
 648   <goal name="enum&#39;vc.53" expl="postcondition" proved="true">
 649   <proof prover="3"><result status="valid" time="0.020000" steps="72"/></proof>
 650   <proof prover="6"><result status="valid" time="0.080000" steps="19032"/></proof>
 651   </goal>
 652   <goal name="enum&#39;vc.54" expl="assertion" proved="true">
 653   <proof prover="3"><result status="valid" time="0.100000" steps="1712"/></proof>
 654   <proof prover="6"><result status="valid" time="0.120000" steps="17673"/></proof>
 655   </goal>
 656   <goal name="enum&#39;vc.55" expl="variant decrease" proved="true">
 657   <proof prover="3"><result status="valid" time="0.050000" steps="322"/></proof>
 658   <proof prover="6"><result status="valid" time="0.120000" steps="18482"/></proof>
 659   </goal>
 660   <goal name="enum&#39;vc.56" expl="precondition" proved="true">
 661   <proof prover="3"><result status="valid" time="0.020000" steps="34"/></proof>
 662   <proof prover="6"><result status="valid" time="0.080000" steps="15584"/></proof>
 663   </goal>
 664   <goal name="enum&#39;vc.57" expl="precondition" proved="true">
 665   <proof prover="3"><result status="valid" time="0.020000" steps="34"/></proof>
 666   <proof prover="6"><result status="valid" time="0.070000" steps="15601"/></proof>
 667   </goal>
 668   <goal name="enum&#39;vc.58" expl="precondition" proved="true">
 669   <proof prover="3"><result status="valid" time="0.040000" steps="297"/></proof>
 670   <proof prover="6"><result status="valid" time="0.110000" steps="17920"/></proof>
 671   </goal>
 672   <goal name="enum&#39;vc.59" expl="precondition" proved="true">
 673   <proof prover="3"><result status="valid" time="0.020000" steps="14"/></proof>
 674   <proof prover="6"><result status="valid" time="0.070000" steps="14303"/></proof>
 675   </goal>
 676   <goal name="enum&#39;vc.60" expl="precondition" proved="true">
 677   <proof prover="3"><result status="valid" time="0.170000" steps="2047"/></proof>
 678   <proof prover="6"><result status="valid" time="0.130000" steps="18637"/></proof>
 679   </goal>
 680   <goal name="enum&#39;vc.61" expl="precondition" proved="true">
 681   <proof prover="3"><result status="valid" time="0.020000" steps="34"/></proof>
 682   <proof prover="6"><result status="valid" time="0.080000" steps="15709"/></proof>
 683   </goal>
 684   <goal name="enum&#39;vc.62" expl="assertion" proved="true">
 685   <proof prover="6"><result status="valid" time="0.300000" steps="41249"/></proof>
 686   </goal>
 687   <goal name="enum&#39;vc.63" expl="index in array bounds" proved="true">
 688   <proof prover="5"><result status="valid" time="0.400000"/></proof>
 689   <proof prover="6"><result status="valid" time="3.962274" steps="260082"/></proof>
 690   </goal>
 691   <goal name="enum&#39;vc.64" expl="assertion" proved="true">
 692   <proof prover="3"><result status="valid" time="0.473888" steps="13033"/></proof>
 693   <proof prover="6"><result status="valid" time="0.170000" steps="28441"/></proof>
 694   </goal>
 695   <goal name="enum&#39;vc.65" expl="assertion" proved="true">
 696   <proof prover="3"><result status="valid" time="0.040000" steps="88"/></proof>
 697   <proof prover="6"><result status="valid" time="0.100000" steps="17704"/></proof>
 698   </goal>
 699   <goal name="enum&#39;vc.66" expl="assertion" proved="true">
 700   <proof prover="3"><result status="valid" time="0.355536" steps="10128"/></proof>
 701   <proof prover="6"><result status="valid" time="0.280000" steps="40941"/></proof>
 702   </goal>
 703   <goal name="enum&#39;vc.67" expl="assertion" proved="true">
 704   <proof prover="3"><result status="valid" time="1.752637" steps="53899"/></proof>
 705   <proof prover="6"><result status="valid" time="0.730000" steps="72875"/></proof>
 706   </goal>
 707   <goal name="enum&#39;vc.68" expl="variant decrease" proved="true">
 708   <proof prover="3"><result status="valid" time="0.090985" steps="2742"/></proof>
 709   <proof prover="6"><result status="valid" time="0.180000" steps="27882"/></proof>
 710   </goal>
 711   <goal name="enum&#39;vc.69" expl="precondition" proved="true">
 712   <proof prover="3"><result status="valid" time="0.020000" steps="46"/></proof>
 713   <proof prover="6"><result status="valid" time="0.110000" steps="18055"/></proof>
 714   </goal>
 715   <goal name="enum&#39;vc.70" expl="precondition" proved="true">
 716   <proof prover="3"><result status="valid" time="0.020000" steps="46"/></proof>
 717   <proof prover="6"><result status="valid" time="0.100000" steps="18129"/></proof>
 718   </goal>
 719   <goal name="enum&#39;vc.71" expl="precondition" proved="true">
 720   <proof prover="3"><result status="valid" time="0.040000" steps="101"/></proof>
 721   <proof prover="6"><result status="valid" time="0.100000" steps="18238"/></proof>
 722   </goal>
 723   <goal name="enum&#39;vc.72" expl="precondition" proved="true">
 724   <proof prover="3"><result status="valid" time="0.020000" steps="14"/></proof>
 725   <proof prover="6"><result status="valid" time="0.070000" steps="14500"/></proof>
 726   </goal>
 727   <goal name="enum&#39;vc.73" expl="precondition" proved="true">
 728   <proof prover="3"><result status="valid" time="0.527075" steps="12131"/></proof>
 729   <proof prover="6"><result status="valid" time="0.220000" steps="32411"/></proof>
 730   </goal>
 731   <goal name="enum&#39;vc.74" expl="precondition" proved="true">
 732   <proof prover="3"><result status="valid" time="0.229607" steps="4540"/></proof>
 733   <proof prover="6"><result status="valid" time="0.150000" steps="22488"/></proof>
 734   </goal>
 735   <goal name="enum&#39;vc.75" expl="assertion" proved="true">
 736   <proof prover="3"><result status="valid" time="0.125821" steps="2929"/></proof>
 737   <proof prover="6"><result status="valid" time="0.150000" steps="23109"/></proof>
 738   </goal>
 739   <goal name="enum&#39;vc.76" expl="assertion" proved="true">
 740   <proof prover="6"><result status="valid" time="2.538846" steps="160966"/></proof>
 741   </goal>
 742   <goal name="enum&#39;vc.77" expl="precondition" proved="true">
 743   <proof prover="3"><result status="valid" time="0.020000" steps="70"/></proof>
 744   <proof prover="6"><result status="valid" time="0.110000" steps="19276"/></proof>
 745   </goal>
 746   <goal name="enum&#39;vc.78" expl="precondition" proved="true">
 747   <proof prover="5"><result status="valid" time="0.680000"/></proof>
 748   </goal>
 749   <goal name="enum&#39;vc.79" expl="precondition" proved="true">
 750   <proof prover="3"><result status="valid" time="0.603513" steps="15839"/></proof>
 751   <proof prover="6"><result status="valid" time="0.220000" steps="36119"/></proof>
 752   </goal>
 753   <goal name="enum&#39;vc.80" expl="precondition" proved="true">
 754   <proof prover="6"><result status="valid" time="0.210000" steps="31792"/></proof>
 755   </goal>
 756   <goal name="enum&#39;vc.81" expl="precondition" proved="true">
 757   <proof prover="3"><result status="valid" time="0.668203" steps="14299"/></proof>
 758   <proof prover="6"><result status="valid" time="0.230000" steps="32181"/></proof>
 759   </goal>
 760   <goal name="enum&#39;vc.82" expl="precondition" proved="true">
 761   <proof prover="3"><result status="valid" time="0.020000" steps="70"/></proof>
 762   <proof prover="6"><result status="valid" time="0.090000" steps="17077"/></proof>
 763   </goal>
 764   <goal name="enum&#39;vc.83" expl="precondition" proved="true">
 765   <proof prover="3"><result status="valid" time="0.030000" steps="70"/></proof>
 766   <proof prover="6"><result status="valid" time="0.090000" steps="16453"/></proof>
 767   </goal>
 768   <goal name="enum&#39;vc.84" expl="postcondition" proved="true">
 769   <proof prover="6"><result status="valid" time="0.220000" steps="35433"/></proof>
 770   </goal>
 771   <goal name="enum&#39;vc.85" expl="postcondition" proved="true">
 772   <proof prover="6"><result status="valid" time="0.668277" steps="62457"/></proof>
 773   </goal>
 774   <goal name="enum&#39;vc.86" expl="postcondition" proved="true">
 775   <proof prover="3"><result status="valid" time="0.020000" steps="70"/></proof>
 776   <proof prover="6"><result status="valid" time="0.080000" steps="16349"/></proof>
 777   </goal>
 778   <goal name="enum&#39;vc.87" expl="postcondition" proved="true">
 779   <proof prover="3"><result status="valid" time="0.020000" steps="70"/></proof>
 780   <proof prover="6"><result status="valid" time="0.080000" steps="18892"/></proof>
 781   </goal>
 782  </transf>
 783  </goal>
 784  <goal name="main&#39;vc" expl="VC for main" proved="true">
 785  <proof prover="3"><result status="valid" time="0.060000" steps="230"/></proof>
 786  </goal>
 787 </theory>
 788 </file>
 789 </why3session>