examples/ring_decision/strassen/why3session.xml

   1 <?xml version="1.0" encoding="UTF-8"?>
   2 <!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
   3 "http://why3.lri.fr/why3session.dtd">
   4 <why3session shape_version="6">
   5 <prover id="2" name="CVC4" version="1.4" timelimit="5" steplimit="0" memlimit="2000"/>
   6 <prover id="6" name="Alt-Ergo" version="2.2.0" timelimit="5" steplimit="0" memlimit="2000"/>
   7 <prover id="8" name="Eprover" version="2.0" timelimit="1" steplimit="0" memlimit="1000"/>
   8 <prover id="9" name="CVC4" version="1.8" timelimit="1" steplimit="0" memlimit="1000"/>
   9 <prover id="10" name="Z3" version="4.8.10" timelimit="1" steplimit="0" memlimit="1000"/>
  10 <prover id="11" name="Alt-Ergo" version="2.4.2" timelimit="1" steplimit="0" memlimit="1000"/>
  11 <prover id="12" name="CVC5" version="1.0.0" timelimit="1" steplimit="0" memlimit="1000"/>
  12 <file format="whyml">
  13 <path name=".."/><path name="strassen.mlw"/>
  14 <theory name="InfMatrixGen" proved="true">
  15  <goal name="ext_by_bounds&#39;vc" expl="VC for ext_by_bounds" proved="true">
  16  <proof prover="10"><result status="valid" time="0.01" steps="15464"/></proof>
  17  </goal>
  18  <goal name="oob_zero" proved="true">
  19  <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="14"/></proof>
  20  </goal>
  21  <goal name="size_to_bounds" proved="true">
  22  <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.01" steps="44"/></proof>
  23  </goal>
  24  <goal name="iso_size" proved="true">
  25  <transf name="introduce_premises" proved="true" >
  26   <goal name="iso_size.0" proved="true">
  27   <transf name="inline_goal" proved="true" >
  28    <goal name="iso_size.0.0" proved="true">
  29    <transf name="split_goal_right" proved="true" >
  30     <goal name="iso_size.0.0.0" proved="true">
  31     <proof prover="8" timelimit="5" memlimit="2000"><result status="valid" time="0.05"/></proof>
  32     </goal>
  33     <goal name="iso_size.0.0.1" proved="true">
  34     <proof prover="8" timelimit="5" memlimit="2000"><result status="valid" time="0.07"/></proof>
  35     </goal>
  36     <goal name="iso_size.0.0.2" proved="true">
  37     <proof prover="8" timelimit="5" memlimit="2000"><result status="valid" time="0.10"/></proof>
  38     </goal>
  39     <goal name="iso_size.0.0.3" proved="true">
  40     <proof prover="8" timelimit="5" memlimit="2000"><result status="valid" time="0.03"/></proof>
  41     </goal>
  42    </transf>
  43    </goal>
  44   </transf>
  45   </goal>
  46  </transf>
  47  </goal>
  48  <goal name="size_rows_ib" proved="true">
  49  <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="16"/></proof>
  50  </goal>
  51  <goal name="size_iso" proved="true">
  52  <transf name="split_goal_right" proved="true" >
  53   <goal name="size_iso.0" proved="true">
  54   <proof prover="8" timelimit="5" memlimit="2000"><result status="valid" time="1.99"/></proof>
  55   </goal>
  56  </transf>
  57  </goal>
  58 </theory>
  59 <theory name="InfMatrix" proved="true">
  60  <goal name="set&#39;vc" expl="VC for set" proved="true">
  61  <proof prover="11"><result status="valid" time="0.00" steps="2"/></proof>
  62  </goal>
  63  <goal name="set_def_changed" proved="true">
  64  <proof prover="11"><result status="valid" time="0.02" steps="243"/></proof>
  65  </goal>
  66  <goal name="set_def_unchanged" proved="true">
  67  <proof prover="11"><result status="valid" time="0.39" steps="5201"/></proof>
  68  </goal>
  69  <goal name="set_def_rowz_changed" proved="true">
  70  <proof prover="2"><result status="valid" time="0.01"/></proof>
  71  </goal>
  72  <goal name="set_def_colz_changed" proved="true">
  73  <proof prover="11"><result status="valid" time="0.01" steps="79"/></proof>
  74  </goal>
  75  <goal name="set_def_rowz_unchanged" proved="true">
  76  <proof prover="11"><result status="valid" time="0.01" steps="89"/></proof>
  77  </goal>
  78  <goal name="set_def_colz_unchanged" proved="true">
  79  <proof prover="11"><result status="valid" time="0.01" steps="102"/></proof>
  80  </goal>
  81  <goal name="set_def_other_rowz" proved="true">
  82  <proof prover="11"><result status="valid" time="0.01" steps="94"/></proof>
  83  </goal>
  84  <goal name="set_def_other_colz" proved="true">
  85  <proof prover="11"><result status="valid" time="0.01" steps="92"/></proof>
  86  </goal>
  87  <goal name="fcreate&#39;vc" expl="VC for fcreate" proved="true">
  88  <proof prover="11"><result status="valid" time="0.01" steps="4"/></proof>
  89  </goal>
  90  <goal name="fcreate_get_ib" proved="true">
  91  <proof prover="6"><result status="valid" time="0.00" steps="35"/></proof>
  92  </goal>
  93  <goal name="fcreate_get_oob" proved="true">
  94  <proof prover="6"><result status="valid" time="0.00" steps="54"/></proof>
  95  </goal>
  96  <goal name="fcreate_size" proved="true">
  97  <transf name="introduce_premises" proved="true" >
  98   <goal name="fcreate_size.0" proved="true">
  99   <transf name="inline_goal" proved="true" >
 100    <goal name="fcreate_size.0.0" proved="true">
 101    <transf name="split_goal_right" proved="true" >
 102     <goal name="fcreate_size.0.0.0" proved="true">
 103     <proof prover="6"><result status="valid" time="0.01" steps="21"/></proof>
 104     </goal>
 105     <goal name="fcreate_size.0.0.1" proved="true">
 106     <proof prover="6"><result status="valid" time="0.01" steps="21"/></proof>
 107     </goal>
 108    </transf>
 109    </goal>
 110   </transf>
 111   </goal>
 112  </transf>
 113  </goal>
 114 </theory>
 115 <theory name="Sum_extended" proved="true">
 116  <goal name="sum_mult&#39;vc" expl="VC for sum_mult" proved="true">
 117  <transf name="split_goal_right" proved="true" >
 118   <goal name="sum_mult&#39;vc.0" expl="variant decrease" proved="true">
 119   <proof prover="10"><result status="valid" time="0.01" steps="6495"/></proof>
 120   </goal>
 121   <goal name="sum_mult&#39;vc.1" expl="postcondition" proved="true">
 122   <proof prover="11"><result status="valid" time="0.06" steps="1377"/></proof>
 123   </goal>
 124  </transf>
 125  </goal>
 126  <goal name="sum_add&#39;vc" expl="VC for sum_add" proved="true">
 127  <transf name="split_goal_right" proved="true" >
 128   <goal name="sum_add&#39;vc.0" expl="variant decrease" proved="true">
 129   <proof prover="10"><result status="valid" time="0.02" steps="7596"/></proof>
 130   </goal>
 131   <goal name="sum_add&#39;vc.1" expl="postcondition" proved="true">
 132   <proof prover="10"><result status="valid" time="0.02" steps="34986"/></proof>
 133   </goal>
 134  </transf>
 135  </goal>
 136  <goal name="fubini&#39;vc" expl="VC for fubini" proved="true">
 137  <transf name="split_goal_right" proved="true" >
 138   <goal name="fubini&#39;vc.0" expl="assertion" proved="true">
 139   <proof prover="11"><result status="valid" time="0.02" steps="13"/></proof>
 140   </goal>
 141   <goal name="fubini&#39;vc.1" expl="variant decrease" proved="true">
 142   <proof prover="11"><result status="valid" time="0.02" steps="2"/></proof>
 143   </goal>
 144   <goal name="fubini&#39;vc.2" expl="precondition" proved="true">
 145   <proof prover="11"><result status="valid" time="0.00" steps="12"/></proof>
 146   </goal>
 147   <goal name="fubini&#39;vc.3" expl="assertion" proved="true">
 148   <proof prover="10"><result status="valid" time="0.15" steps="422933"/></proof>
 149   </goal>
 150   <goal name="fubini&#39;vc.4" expl="postcondition" proved="true">
 151   <proof prover="11"><result status="valid" time="0.22" steps="2104"/></proof>
 152   </goal>
 153  </transf>
 154  </goal>
 155  <goal name="sum_ext&#39;vc" expl="VC for sum_ext" proved="true">
 156  <transf name="split_goal_right" proved="true" >
 157   <goal name="sum_ext&#39;vc.0" expl="postcondition" proved="true">
 158   <proof prover="10"><result status="valid" time="0.01" steps="809"/></proof>
 159   </goal>
 160  </transf>
 161  </goal>
 162 </theory>
 163 <theory name="MaxFun" proved="true">
 164  <goal name="maxf&#39;vc" expl="VC for maxf" proved="true">
 165  <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="2"/></proof>
 166  </goal>
 167  <goal name="maxf_nonneg&#39;vc" expl="VC for maxf_nonneg" proved="true">
 168  <transf name="split_goal_right" proved="true" >
 169   <goal name="maxf_nonneg&#39;vc.0" expl="variant decrease" proved="true">
 170   <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="4"/></proof>
 171   </goal>
 172   <goal name="maxf_nonneg&#39;vc.1" expl="precondition" proved="true">
 173   <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="4"/></proof>
 174   </goal>
 175   <goal name="maxf_nonneg&#39;vc.2" expl="postcondition" proved="true">
 176   <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="58"/></proof>
 177   </goal>
 178  </transf>
 179  </goal>
 180  <goal name="maxf_larger&#39;vc" expl="VC for maxf_larger" proved="true">
 181  <transf name="split_goal_right" proved="true" >
 182   <goal name="maxf_larger&#39;vc.0" expl="variant decrease" proved="true">
 183   <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="6"/></proof>
 184   </goal>
 185   <goal name="maxf_larger&#39;vc.1" expl="precondition" proved="true">
 186   <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="6"/></proof>
 187   </goal>
 188   <goal name="maxf_larger&#39;vc.2" expl="postcondition" proved="true">
 189   <proof prover="12"><result status="valid" time="0.05" steps="5225"/></proof>
 190   </goal>
 191  </transf>
 192  </goal>
 193  <goal name="max_left&#39;vc" expl="VC for max_left" proved="true">
 194  <transf name="split_goal_right" proved="true" >
 195   <goal name="max_left&#39;vc.0" expl="variant decrease" proved="true">
 196   <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="4"/></proof>
 197   </goal>
 198   <goal name="max_left&#39;vc.1" expl="precondition" proved="true">
 199   <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="4"/></proof>
 200   </goal>
 201   <goal name="max_left&#39;vc.2" expl="postcondition" proved="true">
 202   <proof prover="12"><result status="valid" time="0.06" steps="5830"/></proof>
 203   </goal>
 204  </transf>
 205  </goal>
 206  <goal name="max_ext&#39;vc" expl="VC for max_ext" proved="true">
 207  <transf name="split_goal_right" proved="true" >
 208   <goal name="max_ext&#39;vc.0" expl="variant decrease" proved="true">
 209   <transf name="split_goal_right" proved="true" >
 210    <goal name="max_ext&#39;vc.0.0" expl="VC for max_ext" proved="true">
 211    <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="4"/></proof>
 212    </goal>
 213    <goal name="max_ext&#39;vc.0.1" expl="VC for max_ext" proved="true">
 214    <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="4"/></proof>
 215    </goal>
 216   </transf>
 217   </goal>
 218   <goal name="max_ext&#39;vc.1" expl="precondition" proved="true">
 219   <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="4"/></proof>
 220   </goal>
 221   <goal name="max_ext&#39;vc.2" expl="precondition" proved="true">
 222   <transf name="split_goal_right" proved="true" >
 223    <goal name="max_ext&#39;vc.2.0" expl="precondition" proved="true">
 224    <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="16"/></proof>
 225    </goal>
 226   </transf>
 227   </goal>
 228   <goal name="max_ext&#39;vc.3" expl="postcondition" proved="true">
 229   <proof prover="12"><result status="valid" time="0.07" steps="8653"/></proof>
 230   </goal>
 231  </transf>
 232  </goal>
 233  <goal name="max_decomp&#39;vc" expl="VC for max_decomp" proved="true">
 234  <transf name="split_goal_right" proved="true" >
 235   <goal name="max_decomp&#39;vc.0" expl="assertion" proved="true">
 236   <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="38"/></proof>
 237   </goal>
 238   <goal name="max_decomp&#39;vc.1" expl="variant decrease" proved="true">
 239   <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="6"/></proof>
 240   </goal>
 241   <goal name="max_decomp&#39;vc.2" expl="precondition" proved="true">
 242   <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="6"/></proof>
 243   </goal>
 244   <goal name="max_decomp&#39;vc.3" expl="assertion" proved="true">
 245   <proof prover="11"><result status="valid" time="0.03" steps="465"/></proof>
 246   </goal>
 247   <goal name="max_decomp&#39;vc.4" expl="postcondition" proved="true">
 248   <proof prover="11"><result status="valid" time="0.00" steps="7"/></proof>
 249   </goal>
 250  </transf>
 251  </goal>
 252  <goal name="max_constant&#39;vc" expl="VC for max_constant" proved="true">
 253  <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="0.00" steps="182"/></proof>
 254  </goal>
 255 </theory>
 256 <theory name="InfIntMatrix">
 257  <goal name="id&#39;vc" expl="VC for id" proved="true">
 258  <transf name="split_goal_right" proved="true" >
 259  </transf>
 260  </goal>
 261  <goal name="id_def" proved="true">
 262  <proof prover="2"><result status="valid" time="0.05"/></proof>
 263  <proof prover="6"><result status="valid" time="0.01" steps="45"/></proof>
 264  <proof prover="10" timelimit="5" memlimit="2000"><result status="valid" time="0.01" steps="57563"/></proof>
 265  <transf name="split_goal_right" proved="true" >
 266   <goal name="id_def.0" proved="true">
 267   <proof prover="6"><result status="valid" time="0.00" steps="45"/></proof>
 268   </goal>
 269  </transf>
 270  </goal>
 271  <goal name="add2f&#39;vc" expl="VC for add2f" proved="true">
 272  <transf name="split_goal_right" proved="true" >
 273  </transf>
 274  </goal>
 275  <goal name="add_get" proved="true">
 276  <proof prover="2"><result status="valid" time="0.03"/></proof>
 277  <proof prover="6"><result status="valid" time="0.08" steps="379"/></proof>
 278  <proof prover="10" timelimit="5" memlimit="2000"><result status="valid" time="0.44" steps="2111892"/></proof>
 279  </goal>
 280  <goal name="add_iso" proved="true">
 281  <proof prover="6"><result status="valid" time="0.26" steps="1170"/></proof>
 282  </goal>
 283  <goal name="add_size" proved="true">
 284  <transf name="split_goal_right" proved="true" >
 285   <goal name="add_size.0" proved="true">
 286   <proof prover="6"><result status="valid" time="0.06" steps="154"/></proof>
 287   </goal>
 288   <goal name="add_size.1" proved="true">
 289   <proof prover="6"><result status="valid" time="0.03" steps="202"/></proof>
 290   </goal>
 291   <goal name="add_size.2" proved="true">
 292   <proof prover="6"><result status="valid" time="0.02" steps="14"/></proof>
 293   </goal>
 294  </transf>
 295  </goal>
 296  <goal name="add_assoc" proved="true">
 297  <transf name="split_goal_right" proved="true" >
 298   <goal name="add_assoc.0" proved="true">
 299   <proof prover="6"><result status="valid" time="0.02" steps="76"/></proof>
 300   </goal>
 301   <goal name="add_assoc.1" proved="true">
 302   <proof prover="6"><result status="valid" time="0.01" steps="12"/></proof>
 303   </goal>
 304  </transf>
 305  </goal>
 306  <goal name="add_commutative" proved="true">
 307  <transf name="split_goal_right" proved="true" >
 308   <goal name="add_commutative.0" proved="true">
 309   <proof prover="6"><result status="valid" time="0.01" steps="29"/></proof>
 310   </goal>
 311   <goal name="add_commutative.1" proved="true">
 312   <proof prover="6"><result status="valid" time="0.01" steps="12"/></proof>
 313   </goal>
 314  </transf>
 315  </goal>
 316  <goal name="zero_neutral" proved="true">
 317  <transf name="split_goal_right" proved="true" >
 318   <goal name="zero_neutral.0" proved="true">
 319   <proof prover="6"><result status="valid" time="0.01" steps="58"/></proof>
 320   </goal>
 321   <goal name="zero_neutral.1" proved="true">
 322   <proof prover="6"><result status="valid" time="0.01" steps="12"/></proof>
 323   </goal>
 324  </transf>
 325  </goal>
 326  <goal name="sub&#39;vc" expl="VC for sub" proved="true">
 327  <proof prover="11"><result status="valid" time="0.01" steps="8"/></proof>
 328  </goal>
 329  <goal name="sub_size" proved="true">
 330  <transf name="split_goal_right" proved="true" >
 331   <goal name="sub_size.0" proved="true">
 332   <proof prover="6"><result status="valid" time="0.89" steps="2381"/></proof>
 333   </goal>
 334   <goal name="sub_size.1" proved="true">
 335   <proof prover="6"><result status="valid" time="0.15" steps="491"/></proof>
 336   </goal>
 337   <goal name="sub_size.2" proved="true">
 338   <proof prover="10"><result status="valid" time="1.93" steps="14242934"/></proof>
 339   </goal>
 340  </transf>
 341  </goal>
 342  <goal name="opp_involutive" proved="true">
 343  <transf name="split_goal_right" proved="true" >
 344   <goal name="opp_involutive.0" proved="true">
 345   <proof prover="6"><result status="valid" time="0.19" steps="635"/></proof>
 346   </goal>
 347   <goal name="opp_involutive.1" proved="true">
 348   <proof prover="6"><result status="valid" time="0.01" steps="12"/></proof>
 349   </goal>
 350  </transf>
 351  </goal>
 352  <goal name="atom_oob" proved="true">
 353  <transf name="split_goal_right" proved="true" >
 354   <goal name="atom_oob.0" proved="true">
 355   <proof prover="8" timelimit="5" memlimit="2000"><result status="valid" time="0.08"/></proof>
 356   </goal>
 357   <goal name="atom_oob.1" proved="true">
 358   <proof prover="8" timelimit="5" memlimit="2000"><result status="valid" time="0.06"/></proof>
 359   </goal>
 360   <goal name="atom_oob.2" proved="true">
 361   <proof prover="10"><result status="valid" time="0.03" steps="81546"/></proof>
 362   </goal>
 363   <goal name="atom_oob.3" proved="true">
 364   <proof prover="6"><result status="valid" time="0.01" steps="24"/></proof>
 365   </goal>
 366  </transf>
 367  </goal>
 368  <goal name="cell_oob_r" proved="true">
 369  <transf name="split_goal_right" proved="true" >
 370   <goal name="cell_oob_r.0" proved="true">
 371   <proof prover="6"><result status="valid" time="0.01" steps="14"/></proof>
 372   </goal>
 373   <goal name="cell_oob_r.1" proved="true">
 374   <proof prover="6"><result status="valid" time="0.02" steps="108"/></proof>
 375   </goal>
 376   <goal name="cell_oob_r.2" proved="true">
 377   <proof prover="6"><result status="valid" time="0.01" steps="38"/></proof>
 378   </goal>
 379   <goal name="cell_oob_r.3" proved="true">
 380   <proof prover="8" timelimit="5" memlimit="2000"><result status="valid" time="0.38"/></proof>
 381   </goal>
 382   <goal name="cell_oob_r.4" proved="true">
 383   <proof prover="6"><result status="valid" time="0.02" steps="22"/></proof>
 384   </goal>
 385   <goal name="cell_oob_r.5" proved="true">
 386   <proof prover="6"><result status="valid" time="0.01" steps="51"/></proof>
 387   </goal>
 388  </transf>
 389  </goal>
 390  <goal name="cell_oob_c" proved="true">
 391  <transf name="split_goal_right" proved="true" >
 392   <goal name="cell_oob_c.0" proved="true">
 393   <proof prover="10"><result status="valid" time="0.04" steps="72597"/></proof>
 394   </goal>
 395   <goal name="cell_oob_c.1" proved="true">
 396   <proof prover="6"><result status="valid" time="0.01" steps="108"/></proof>
 397   </goal>
 398   <goal name="cell_oob_c.2" proved="true">
 399   <proof prover="6"><result status="valid" time="0.02" steps="38"/></proof>
 400   </goal>
 401   <goal name="cell_oob_c.3" proved="true">
 402   <proof prover="10"><result status="valid" time="0.02" steps="233105"/></proof>
 403   </goal>
 404   <goal name="cell_oob_c.4" proved="true">
 405   <proof prover="6"><result status="valid" time="0.02" steps="22"/></proof>
 406   </goal>
 407   <goal name="cell_oob_c.5" proved="true">
 408   <proof prover="6"><result status="valid" time="0.02" steps="62"/></proof>
 409   </goal>
 410  </transf>
 411  </goal>
 412  <goal name="mul_sizes&#39;vc" expl="VC for mul_sizes" proved="true">
 413  <proof prover="9"><result status="valid" time="0.11" steps="33362"/></proof>
 414  </goal>
 415  <goal name="id_neutral_r">
 416  <transf name="split_goal_right" >
 417   <goal name="id_neutral_r.0">
 418   </goal>
 419   <goal name="id_neutral_r.1">
 420   </goal>
 421   <goal name="id_neutral_r.2" proved="true">
 422   <proof prover="10"><result status="valid" time="0.02" steps="97780"/></proof>
 423   </goal>
 424   <goal name="id_neutral_r.3" proved="true">
 425   <proof prover="6"><result status="valid" time="0.09" steps="300"/></proof>
 426   </goal>
 427   <goal name="id_neutral_r.4" proved="true">
 428   <proof prover="6"><result status="valid" time="0.01" steps="12"/></proof>
 429   </goal>
 430  </transf>
 431  </goal>
 432  <goal name="id_neutral_l" proved="true">
 433  <transf name="split_goal_right" proved="true" >
 434   <goal name="id_neutral_l.0" proved="true">
 435   <proof prover="6" timelimit="10" memlimit="4000"><result status="valid" time="1.88" steps="597"/></proof>
 436   </goal>
 437   <goal name="id_neutral_l.1" proved="true">
 438   <proof prover="11"><result status="valid" time="0.30" steps="5461"/></proof>
 439   </goal>
 440   <goal name="id_neutral_l.2" proved="true">
 441   <proof prover="6"><result status="valid" time="0.19" steps="221"/></proof>
 442   </goal>
 443   <goal name="id_neutral_l.3" proved="true">
 444   <proof prover="6"><result status="valid" time="0.02" steps="16"/></proof>
 445   <proof prover="10" timelimit="5" memlimit="2000"><result status="valid" time="0.03" steps="119857"/></proof>
 446   </goal>
 447   <goal name="id_neutral_l.4" proved="true">
 448   <proof prover="10"><result status="valid" time="0.29" steps="1385787"/></proof>
 449   </goal>
 450   <goal name="id_neutral_l.5" proved="true">
 451   <proof prover="6"><result status="valid" time="0.01" steps="16"/></proof>
 452   </goal>
 453   <goal name="id_neutral_l.6" proved="true">
 454   <proof prover="6"><result status="valid" time="0.02" steps="16"/></proof>
 455   <proof prover="10"><result status="valid" time="0.02" steps="349709"/></proof>
 456   </goal>
 457   <goal name="id_neutral_l.7" proved="true">
 458   <proof prover="6"><result status="valid" time="0.02" steps="22"/></proof>
 459   </goal>
 460   <goal name="id_neutral_l.8" proved="true">
 461   <proof prover="6"><result status="valid" time="0.02" steps="16"/></proof>
 462   </goal>
 463   <goal name="id_neutral_l.9" proved="true">
 464   <proof prover="10"><result status="valid" time="0.07" steps="88950"/></proof>
 465   </goal>
 466   <goal name="id_neutral_l.10" proved="true">
 467   <proof prover="10" timelimit="5" memlimit="2000"><result status="valid" time="0.05" steps="98744"/></proof>
 468   </goal>
 469   <goal name="id_neutral_l.11" proved="true">
 470   <proof prover="10"><result status="valid" time="0.35" steps="1802511"/></proof>
 471   </goal>
 472   <goal name="id_neutral_l.12" proved="true">
 473   <proof prover="6"><result status="valid" time="0.01" steps="12"/></proof>
 474   </goal>
 475  </transf>
 476  </goal>
 477  <goal name="mul_assoc_get&#39;vc" expl="VC for mul_assoc_get" proved="true">
 478  <transf name="split_goal_right" proved="true" >
 479   <goal name="mul_assoc_get&#39;vc.0" expl="precondition" proved="true">
 480   <proof prover="6" timelimit="10" memlimit="4000"><result status="valid" time="0.01" steps="82"/></proof>
 481   </goal>
 482   <goal name="mul_assoc_get&#39;vc.1" expl="assertion" proved="true">
 483   <transf name="split_goal_right" proved="true" >
 484    <goal name="mul_assoc_get&#39;vc.1.0" expl="assertion" proved="true">
 485    <proof prover="6"><result status="valid" time="0.06" steps="307"/></proof>
 486    </goal>
 487    <goal name="mul_assoc_get&#39;vc.1.1" expl="VC for mul_assoc_get" proved="true">
 488    <proof prover="6"><result status="valid" time="0.17" steps="309"/></proof>
 489    </goal>
 490    <goal name="mul_assoc_get&#39;vc.1.2" expl="VC for mul_assoc_get" proved="true">
 491    <proof prover="6"><result status="valid" time="0.02" steps="84"/></proof>
 492    </goal>
 493    <goal name="mul_assoc_get&#39;vc.1.3" expl="VC for mul_assoc_get" proved="true">
 494    <proof prover="6"><result status="valid" time="0.04" steps="28"/></proof>
 495    </goal>
 496    <goal name="mul_assoc_get&#39;vc.1.4" expl="VC for mul_assoc_get" proved="true">
 497    <proof prover="6"><result status="valid" time="0.20" steps="367"/></proof>
 498    </goal>
 499    <goal name="mul_assoc_get&#39;vc.1.5" expl="VC for mul_assoc_get" proved="true">
 500    <proof prover="6"><result status="valid" time="0.01" steps="88"/></proof>
 501    </goal>
 502    <goal name="mul_assoc_get&#39;vc.1.6" expl="VC for mul_assoc_get" proved="true">
 503    <proof prover="6"><result status="valid" time="0.02" steps="32"/></proof>
 504    </goal>
 505    <goal name="mul_assoc_get&#39;vc.1.7" expl="VC for mul_assoc_get" proved="true">
 506    <proof prover="6"><result status="valid" time="0.19" steps="341"/></proof>
 507    </goal>
 508   </transf>
 509   </goal>
 510   <goal name="mul_assoc_get&#39;vc.2" expl="assertion" proved="true">
 511   <transf name="split_vc" proved="true" >
 512    <goal name="mul_assoc_get&#39;vc.2.0" expl="assertion" proved="true">
 513    <proof prover="10"><result status="valid" time="0.04" steps="110880"/></proof>
 514    </goal>
 515    <goal name="mul_assoc_get&#39;vc.2.1" expl="assertion" proved="true">
 516    <proof prover="10"><result status="valid" time="0.04" steps="320743"/></proof>
 517    </goal>
 518    <goal name="mul_assoc_get&#39;vc.2.2" expl="assertion" proved="true">
 519    <proof prover="10"><result status="valid" time="0.05" steps="124234"/></proof>
 520    </goal>
 521    <goal name="mul_assoc_get&#39;vc.2.3" expl="VC for mul_assoc_get" proved="true">
 522    <proof prover="2" timelimit="1" memlimit="1000"><result status="valid" time="0.15"/></proof>
 523    </goal>
 524    <goal name="mul_assoc_get&#39;vc.2.4" expl="VC for mul_assoc_get" proved="true">
 525    <proof prover="10"><result status="valid" time="0.18" steps="561157"/></proof>
 526    </goal>
 527    <goal name="mul_assoc_get&#39;vc.2.5" expl="VC for mul_assoc_get" proved="true">
 528    <proof prover="10"><result status="valid" time="0.05" steps="268772"/></proof>
 529    </goal>
 530    <goal name="mul_assoc_get&#39;vc.2.6" expl="VC for mul_assoc_get" proved="true">
 531    <proof prover="10"><result status="valid" time="0.34" steps="1544596"/></proof>
 532    </goal>
 533   </transf>
 534   </goal>
 535   <goal name="mul_assoc_get&#39;vc.3" expl="assertion" proved="true">
 536   <transf name="split_vc" proved="true" >
 537    <goal name="mul_assoc_get&#39;vc.3.0" expl="assertion" proved="true">
 538    <proof prover="6" timelimit="1" memlimit="1000"><result status="valid" time="0.15" steps="614"/></proof>
 539    </goal>
 540    <goal name="mul_assoc_get&#39;vc.3.1" expl="VC for mul_assoc_get" proved="true">
 541    <proof prover="10"><result status="valid" time="0.03" steps="301942"/></proof>
 542    </goal>
 543    <goal name="mul_assoc_get&#39;vc.3.2" expl="VC for mul_assoc_get" proved="true">
 544    <proof prover="10"><result status="valid" time="0.03" steps="143958"/></proof>
 545    </goal>
 546    <goal name="mul_assoc_get&#39;vc.3.3" expl="VC for mul_assoc_get" proved="true">
 547    <proof prover="10"><result status="valid" time="0.03" steps="217395"/></proof>
 548    </goal>
 549    <goal name="mul_assoc_get&#39;vc.3.4" expl="VC for mul_assoc_get" proved="true">
 550    <proof prover="10"><result status="valid" time="0.03" steps="145748"/></proof>
 551    </goal>
 552    <goal name="mul_assoc_get&#39;vc.3.5" expl="VC for mul_assoc_get" proved="true">
 553    <proof prover="6" timelimit="1" memlimit="1000"><result status="valid" time="0.03" steps="26"/></proof>
 554    </goal>
 555    <goal name="mul_assoc_get&#39;vc.3.6" expl="VC for mul_assoc_get" proved="true">
 556    <proof prover="6" timelimit="1" memlimit="1000"><result status="valid" time="0.02" steps="26"/></proof>
 557    </goal>
 558    <goal name="mul_assoc_get&#39;vc.3.7" expl="VC for mul_assoc_get" proved="true">
 559    <proof prover="11"><result status="valid" time="0.01" steps="64"/></proof>
 560    </goal>
 561   </transf>
 562   </goal>
 563   <goal name="mul_assoc_get&#39;vc.4" expl="precondition" proved="true">
 564   <proof prover="10"><result status="valid" time="0.08" steps="6393"/></proof>
 565   </goal>
 566   <goal name="mul_assoc_get&#39;vc.5" expl="assertion" proved="true">
 567   <proof prover="2" timelimit="10" memlimit="4000"><result status="valid" time="0.27"/></proof>
 568   <proof prover="6" timelimit="10" memlimit="4000"><result status="valid" time="7.96" steps="3976"/></proof>
 569   </goal>
 570   <goal name="mul_assoc_get&#39;vc.6" expl="assertion" proved="true">
 571   <proof prover="12"><result status="valid" time="0.38" steps="57862"/></proof>
 572   </goal>
 573   <goal name="mul_assoc_get&#39;vc.7" expl="assertion" proved="true">
 574   <transf name="split_goal_right" proved="true" >
 575    <goal name="mul_assoc_get&#39;vc.7.0" expl="assertion" proved="true">
 576    <proof prover="10"><result status="valid" time="0.02" steps="148363"/></proof>
 577    </goal>
 578    <goal name="mul_assoc_get&#39;vc.7.1" expl="assertion" proved="true">
 579    <proof prover="10"><result status="valid" time="0.16" steps="432453"/></proof>
 580    </goal>
 581    <goal name="mul_assoc_get&#39;vc.7.2" expl="assertion" proved="true">
 582    <proof prover="10"><result status="valid" time="0.03" steps="170276"/></proof>
 583    </goal>
 584    <goal name="mul_assoc_get&#39;vc.7.3" expl="VC for mul_assoc_get" proved="true">
 585    <proof prover="2" timelimit="1" memlimit="1000"><result status="valid" time="0.12"/></proof>
 586    </goal>
 587    <goal name="mul_assoc_get&#39;vc.7.4" expl="VC for mul_assoc_get" proved="true">
 588    <proof prover="10"><result status="valid" time="0.26" steps="705465"/></proof>
 589    </goal>
 590    <goal name="mul_assoc_get&#39;vc.7.5" expl="VC for mul_assoc_get" proved="true">
 591    <proof prover="10"><result status="valid" time="0.02" steps="281175"/></proof>
 592    </goal>
 593    <goal name="mul_assoc_get&#39;vc.7.6" expl="VC for mul_assoc_get" proved="true">
 594    <proof prover="10"><result status="valid" time="0.65" steps="2705501"/></proof>
 595    </goal>
 596   </transf>
 597   </goal>
 598   <goal name="mul_assoc_get&#39;vc.8" expl="assertion" proved="true">
 599   <transf name="split_goal_right" proved="true" >
 600    <goal name="mul_assoc_get&#39;vc.8.0" expl="assertion" proved="true">
 601    <proof prover="2" timelimit="1" memlimit="1000"><result status="valid" time="0.18"/></proof>
 602    <proof prover="6" timelimit="10" memlimit="4000"><result status="valid" time="0.49" steps="910"/></proof>
 603    </goal>
 604    <goal name="mul_assoc_get&#39;vc.8.1" expl="VC for mul_assoc_get" proved="true">
 605    <proof prover="2"><result status="valid" time="0.05"/></proof>
 606    <proof prover="6" timelimit="1" memlimit="1000"><result status="valid" time="0.02" steps="30"/></proof>
 607    </goal>
 608    <goal name="mul_assoc_get&#39;vc.8.2" expl="VC for mul_assoc_get" proved="true">
 609    <proof prover="10"><result status="valid" time="0.02" steps="200221"/></proof>
 610    </goal>
 611    <goal name="mul_assoc_get&#39;vc.8.3" expl="VC for mul_assoc_get" proved="true">
 612    <proof prover="2" timelimit="10" memlimit="4000"><result status="valid" time="0.05"/></proof>
 613    <proof prover="6" timelimit="10" memlimit="4000"><result status="valid" time="0.02" steps="30"/></proof>
 614    <proof prover="10" timelimit="10" memlimit="4000"><result status="valid" time="0.04" steps="298395"/></proof>
 615    </goal>
 616    <goal name="mul_assoc_get&#39;vc.8.4" expl="VC for mul_assoc_get" proved="true">
 617    <proof prover="2" timelimit="10" memlimit="4000"><result status="valid" time="0.04"/></proof>
 618    <proof prover="6" timelimit="10" memlimit="4000"><result status="valid" time="0.02" steps="30"/></proof>
 619    <proof prover="10" timelimit="10" memlimit="4000"><result status="valid" time="0.01" steps="202195"/></proof>
 620    </goal>
 621    <goal name="mul_assoc_get&#39;vc.8.5" expl="VC for mul_assoc_get" proved="true">
 622    <proof prover="6" timelimit="1" memlimit="1000"><result status="valid" time="0.01" steps="30"/></proof>
 623    </goal>
 624    <goal name="mul_assoc_get&#39;vc.8.6" expl="VC for mul_assoc_get" proved="true">
 625    <proof prover="6" timelimit="1" memlimit="1000"><result status="valid" time="0.03" steps="30"/></proof>
 626    </goal>
 627    <goal name="mul_assoc_get&#39;vc.8.7" expl="VC for mul_assoc_get" proved="true">
 628    <proof prover="11"><result status="valid" time="0.01" steps="61"/></proof>
 629    </goal>
 630   </transf>
 631   </goal>
 632   <goal name="mul_assoc_get&#39;vc.9" expl="precondition" proved="true">
 633   <transf name="split_goal_right" proved="true" >
 634    <goal name="mul_assoc_get&#39;vc.9.0" expl="precondition" proved="true">
 635    <proof prover="6"><result status="valid" time="0.04" steps="8"/></proof>
 636    </goal>
 637   </transf>
 638   </goal>
 639   <goal name="mul_assoc_get&#39;vc.10" expl="assertion" proved="true">
 640   <transf name="split_goal_right" proved="true" >
 641    <goal name="mul_assoc_get&#39;vc.10.0" expl="assertion" proved="true">
 642    <proof prover="9"><result status="valid" time="0.18" steps="43329"/></proof>
 643    </goal>
 644   </transf>
 645   </goal>
 646   <goal name="mul_assoc_get&#39;vc.11" expl="postcondition" proved="true">
 647   <transf name="split_goal_right" proved="true" >
 648    <goal name="mul_assoc_get&#39;vc.11.0" expl="postcondition" proved="true">
 649    <proof prover="11"><result status="valid" time="0.01" steps="20"/></proof>
 650    </goal>
 651   </transf>
 652   </goal>
 653  </transf>
 654  </goal>
 655  <goal name="mul_assoc" proved="true">
 656  <transf name="split_goal_right" proved="true" >
 657   <goal name="mul_assoc.0" proved="true">
 658   <proof prover="6"><result status="valid" time="0.02" steps="31"/></proof>
 659   </goal>
 660   <goal name="mul_assoc.1" proved="true">
 661   <proof prover="6"><result status="valid" time="0.01" steps="12"/></proof>
 662   </goal>
 663  </transf>
 664  </goal>
 665  <goal name="mul_distr_right_get&#39;vc" expl="VC for mul_distr_right_get" proved="true">
 666  <transf name="split_vc" proved="true" >
 667   <goal name="mul_distr_right_get&#39;vc.0" expl="assertion" proved="true">
 668   <transf name="split_vc" proved="true" >
 669    <goal name="mul_distr_right_get&#39;vc.0.0" expl="assertion" proved="true">
 670    <proof prover="12"><result status="valid" time="0.13" steps="20686"/></proof>
 671    </goal>
 672    <goal name="mul_distr_right_get&#39;vc.0.1" expl="VC for mul_distr_right_get" proved="true">
 673    <proof prover="11"><result status="valid" time="0.11" steps="1836"/></proof>
 674    </goal>
 675    <goal name="mul_distr_right_get&#39;vc.0.2" expl="VC for mul_distr_right_get" proved="true">
 676    <proof prover="11"><result status="valid" time="0.12" steps="2450"/></proof>
 677    </goal>
 678    <goal name="mul_distr_right_get&#39;vc.0.3" expl="VC for mul_distr_right_get" proved="true">
 679    <proof prover="11"><result status="valid" time="0.01" steps="20"/></proof>
 680    </goal>
 681    <goal name="mul_distr_right_get&#39;vc.0.4" expl="VC for mul_distr_right_get" proved="true">
 682    <proof prover="12"><result status="valid" time="0.18" steps="27631"/></proof>
 683    </goal>
 684    <goal name="mul_distr_right_get&#39;vc.0.5" expl="VC for mul_distr_right_get" proved="true">
 685    <proof prover="11"><result status="valid" time="0.55" steps="13541"/></proof>
 686    </goal>
 687    <goal name="mul_distr_right_get&#39;vc.0.6" expl="VC for mul_distr_right_get" proved="true">
 688    <proof prover="11"><result status="valid" time="0.48" steps="12793"/></proof>
 689    </goal>
 690    <goal name="mul_distr_right_get&#39;vc.0.7" expl="VC for mul_distr_right_get" proved="true">
 691    <proof prover="11"><result status="valid" time="0.01" steps="33"/></proof>
 692    </goal>
 693    <goal name="mul_distr_right_get&#39;vc.0.8" expl="VC for mul_distr_right_get" proved="true">
 694    <proof prover="12"><result status="valid" time="0.26" steps="38325"/></proof>
 695    </goal>
 696    <goal name="mul_distr_right_get&#39;vc.0.9" expl="VC for mul_distr_right_get" proved="true">
 697    <proof prover="12"><result status="valid" time="0.28" steps="40942"/></proof>
 698    </goal>
 699    <goal name="mul_distr_right_get&#39;vc.0.10" expl="VC for mul_distr_right_get" proved="true">
 700    <proof prover="11"><result status="valid" time="0.02" steps="130"/></proof>
 701    </goal>
 702    <goal name="mul_distr_right_get&#39;vc.0.11" expl="VC for mul_distr_right_get" proved="true">
 703    <proof prover="11"><result status="valid" time="0.01" steps="38"/></proof>
 704    </goal>
 705    <goal name="mul_distr_right_get&#39;vc.0.12" expl="VC for mul_distr_right_get" proved="true">
 706    <proof prover="11"><result status="valid" time="0.01" steps="38"/></proof>
 707    </goal>
 708    <goal name="mul_distr_right_get&#39;vc.0.13" expl="VC for mul_distr_right_get" proved="true">
 709    <proof prover="11"><result status="valid" time="0.02" steps="141"/></proof>
 710    </goal>
 711    <goal name="mul_distr_right_get&#39;vc.0.14" expl="VC for mul_distr_right_get" proved="true">
 712    <proof prover="9" timelimit="5" memlimit="2000"><result status="valid" time="1.00" steps="193707"/></proof>
 713    </goal>
 714   </transf>
 715   </goal>
 716   <goal name="mul_distr_right_get&#39;vc.1" expl="precondition" proved="true">
 717   <proof prover="11"><result status="valid" time="0.05" steps="951"/></proof>
 718   </goal>
 719   <goal name="mul_distr_right_get&#39;vc.2" expl="assertion" proved="true">
 720   <proof prover="12"><result status="valid" time="0.18" steps="28130"/></proof>
 721   </goal>
 722   <goal name="mul_distr_right_get&#39;vc.3" expl="postcondition" proved="true">
 723   <proof prover="12"><result status="valid" time="0.46" steps="68117"/></proof>
 724   </goal>
 725  </transf>
 726  </goal>
 727  <goal name="ext_iso" proved="true">
 728  <proof prover="6"><result status="valid" time="0.01" steps="57"/></proof>
 729  </goal>
 730  <goal name="ext_get" proved="true">
 731  <transf name="split_goal_right" proved="true" >
 732   <goal name="ext_get.0" proved="true">
 733   <transf name="split_goal_right" proved="true" >
 734    <goal name="ext_get.0.0" proved="true">
 735    <proof prover="6"><result status="valid" time="0.02" steps="144"/></proof>
 736    </goal>
 737   </transf>
 738   </goal>
 739  </transf>
 740  </goal>
 741  <goal name="ext_dist_sum_mat" proved="true">
 742  <transf name="split_goal_right" proved="true" >
 743   <goal name="ext_dist_sum_mat.0" proved="true">
 744   <transf name="introduce_premises" proved="true" >
 745    <goal name="ext_dist_sum_mat.0.0" proved="true">
 746    <transf name="inline_goal" proved="true" >
 747     <goal name="ext_dist_sum_mat.0.0.0" proved="true">
 748     <proof prover="6"><result status="valid" time="0.03" steps="48"/></proof>
 749     </goal>
 750    </transf>
 751    </goal>
 752   </transf>
 753   </goal>
 754   <goal name="ext_dist_sum_mat.1" proved="true">
 755   <proof prover="6"><result status="valid" time="0.01" steps="12"/></proof>
 756   </goal>
 757  </transf>
 758  </goal>
 759  <goal name="ext_dist_sum_r" proved="true">
 760  <transf name="split_goal_right" proved="true" >
 761   <goal name="ext_dist_sum_r.0" proved="true">
 762   <proof prover="6"><result status="valid" time="0.03" steps="94"/></proof>
 763   </goal>
 764   <goal name="ext_dist_sum_r.1" proved="true">
 765   <proof prover="6"><result status="valid" time="0.01" steps="12"/></proof>
 766   </goal>
 767  </transf>
 768  </goal>
 769  <goal name="assoc_mul_ext" proved="true">
 770  <transf name="split_goal_right" proved="true" >
 771   <goal name="assoc_mul_ext.0" proved="true">
 772   <proof prover="6"><result status="valid" time="0.04" steps="79"/></proof>
 773   </goal>
 774   <goal name="assoc_mul_ext.1" proved="true">
 775   <proof prover="6"><result status="valid" time="0.02" steps="12"/></proof>
 776   </goal>
 777  </transf>
 778  </goal>
 779  <goal name="unit_ext" proved="true">
 780  <transf name="split_goal_right" proved="true" >
 781   <goal name="unit_ext.0" proved="true">
 782   <proof prover="6"><result status="valid" time="0.01" steps="32"/></proof>
 783   </goal>
 784   <goal name="unit_ext.1" proved="true">
 785   <proof prover="6"><result status="valid" time="0.02" steps="12"/></proof>
 786   </goal>
 787  </transf>
 788  </goal>
 789  <goal name="comm_mul_ext_ij&#39;vc" expl="VC for comm_mul_ext_ij" proved="true">
 790  <transf name="split_vc" proved="true" >
 791   <goal name="comm_mul_ext_ij&#39;vc.0" expl="assertion" proved="true">
 792   <proof prover="11"><result status="valid" time="0.02" steps="207"/></proof>
 793   </goal>
 794   <goal name="comm_mul_ext_ij&#39;vc.1" expl="precondition" proved="true">
 795   <proof prover="11"><result status="valid" time="0.02" steps="347"/></proof>
 796   </goal>
 797   <goal name="comm_mul_ext_ij&#39;vc.2" expl="precondition" proved="true">
 798   <proof prover="11"><result status="valid" time="0.14" steps="4027"/></proof>
 799   </goal>
 800   <goal name="comm_mul_ext_ij&#39;vc.3" expl="assertion" proved="true">
 801   <transf name="split_vc" proved="true" >
 802    <goal name="comm_mul_ext_ij&#39;vc.3.0" expl="assertion" proved="true">
 803    <proof prover="12"><result status="valid" time="0.25" steps="36384"/></proof>
 804    </goal>
 805    <goal name="comm_mul_ext_ij&#39;vc.3.1" expl="assertion" proved="true">
 806    <proof prover="11"><result status="valid" time="0.04" steps="426"/></proof>
 807    </goal>
 808    <goal name="comm_mul_ext_ij&#39;vc.3.2" expl="assertion" proved="true">
 809    <proof prover="11"><result status="valid" time="0.03" steps="423"/></proof>
 810    </goal>
 811    <goal name="comm_mul_ext_ij&#39;vc.3.3" expl="assertion" proved="true">
 812    <proof prover="12"><result status="valid" time="0.24" steps="36863"/></proof>
 813    </goal>
 814    <goal name="comm_mul_ext_ij&#39;vc.3.4" expl="VC for comm_mul_ext_ij" proved="true">
 815    <proof prover="8"><result status="valid" time="0.34"/></proof>
 816    </goal>
 817    <goal name="comm_mul_ext_ij&#39;vc.3.5" expl="VC for comm_mul_ext_ij" proved="true">
 818    <proof prover="11"><result status="valid" time="0.01" steps="138"/></proof>
 819    </goal>
 820    <goal name="comm_mul_ext_ij&#39;vc.3.6" expl="VC for comm_mul_ext_ij" proved="true">
 821    <proof prover="11"><result status="valid" time="0.01" steps="138"/></proof>
 822    </goal>
 823   </transf>
 824   </goal>
 825   <goal name="comm_mul_ext_ij&#39;vc.4" expl="postcondition" proved="true">
 826   <proof prover="11"><result status="valid" time="0.02" steps="66"/></proof>
 827   </goal>
 828   <goal name="comm_mul_ext_ij&#39;vc.5" expl="postcondition" proved="true">
 829   <proof prover="11"><result status="valid" time="0.01" steps="66"/></proof>
 830   </goal>
 831  </transf>
 832  </goal>
 833  <goal name="comm_mul_ext" proved="true">
 834  <transf name="split_goal_right" proved="true" >
 835   <goal name="comm_mul_ext.0" proved="true">
 836   <proof prover="6"><result status="valid" time="0.01" steps="35"/></proof>
 837   </goal>
 838   <goal name="comm_mul_ext.1" proved="true">
 839   <proof prover="6"><result status="valid" time="0.02" steps="35"/></proof>
 840   </goal>
 841   <goal name="comm_mul_ext.2" proved="true">
 842   <proof prover="6"><result status="valid" time="0.01" steps="14"/></proof>
 843   </goal>
 844   <goal name="comm_mul_ext.3" proved="true">
 845   <proof prover="6"><result status="valid" time="0.02" steps="14"/></proof>
 846   </goal>
 847  </transf>
 848  </goal>
 849 </theory>
 850 <theory name="InfIntMatrixDecision">
 851  <goal name="aplus&#39;refn&#39;vc" expl="VC for aplus&#39;refn" proved="true">
 852  <proof prover="11"><result status="valid" time="0.01" steps="8"/></proof>
 853  </goal>
 854  <goal name="atimes&#39;refn&#39;vc" expl="VC for atimes&#39;refn" proved="true">
 855  <proof prover="11"><result status="valid" time="0.01" steps="8"/></proof>
 856  </goal>
 857  <goal name="aopp&#39;refn&#39;vc" expl="VC for aopp&#39;refn" proved="true">
 858  <proof prover="6"><result status="valid" time="0.01" steps="8"/></proof>
 859  </goal>
 860  <goal name="A.Assoc" proved="true">
 861  <proof prover="6"><result status="valid" time="0.01" steps="11"/></proof>
 862  </goal>
 863  <goal name="A.Unit_def_l" proved="true">
 864  <proof prover="10"><result status="valid" time="0.03" steps="102407"/></proof>
 865  </goal>
 866  <goal name="A.Unit_def_r" proved="true">
 867  <proof prover="10"><result status="valid" time="0.02" steps="102042"/></proof>
 868  </goal>
 869  <goal name="A.Inv_def_l">
 870  </goal>
 871  <goal name="A.Inv_def_r">
 872  </goal>
 873  <goal name="A.Comm" proved="true">
 874  <proof prover="6"><result status="valid" time="0.02" steps="11"/></proof>
 875  </goal>
 876  <goal name="A.MulAssoc.Assoc" proved="true">
 877  <proof prover="6"><result status="valid" time="0.01" steps="11"/></proof>
 878  </goal>
 879  <goal name="A.Mul_distr_l">
 880  </goal>
 881  <goal name="A.Mul_distr_r">
 882  </goal>
 883  <goal name="AUnitary" proved="true">
 884  <proof prover="6"><result status="valid" time="0.01" steps="16"/></proof>
 885  </goal>
 886  <goal name="ANonTrivial" proved="true">
 887  <proof prover="10"><result status="valid" time="0.04" steps="188228"/></proof>
 888  </goal>
 889  <goal name="infix $&#39;refn&#39;vc" expl="VC for infix $&#39;refn" proved="true">
 890  <proof prover="11"><result status="valid" time="0.01" steps="9"/></proof>
 891  </goal>
 892  <goal name="ExtDistSumA" proved="true">
 893  <proof prover="6"><result status="valid" time="0.01" steps="11"/></proof>
 894  </goal>
 895  <goal name="ExtDistSumR" proved="true">
 896  <proof prover="6"><result status="valid" time="0.01" steps="11"/></proof>
 897  </goal>
 898  <goal name="AssocMulExt" proved="true">
 899  <proof prover="6"><result status="valid" time="0.01" steps="11"/></proof>
 900  </goal>
 901  <goal name="UnitExt" proved="true">
 902  <proof prover="6"><result status="valid" time="0.01" steps="11"/></proof>
 903  </goal>
 904  <goal name="CommMulExt" proved="true">
 905  <proof prover="6"><result status="valid" time="0.02" steps="10"/></proof>
 906  </goal>
 907  <goal name="eq0&#39;refn&#39;vc" expl="VC for eq0&#39;refn" proved="true">
 908  <proof prover="11"><result status="valid" time="0.00" steps="9"/></proof>
 909  </goal>
 910  <goal name="asub_def" proved="true">
 911  <proof prover="6"><result status="valid" time="0.02" steps="11"/></proof>
 912  </goal>
 913 </theory>
 914 <theory name="MatrixTests">
 915  <goal name="block_mul_ij&#39;vc" expl="VC for block_mul_ij" proved="true">
 916  <transf name="split_goal_right" proved="true" >
 917   <goal name="block_mul_ij&#39;vc.0" expl="assertion" proved="true">
 918   <transf name="split_vc" proved="true" >
 919    <goal name="block_mul_ij&#39;vc.0.0" expl="assertion" proved="true">
 920    <proof prover="11" timelimit="5"><result status="valid" time="1.56" steps="19278"/></proof>
 921    </goal>
 922    <goal name="block_mul_ij&#39;vc.0.1" expl="assertion" proved="true">
 923    <proof prover="6" timelimit="1" memlimit="1000"><result status="valid" time="0.12" steps="200"/></proof>
 924    </goal>
 925    <goal name="block_mul_ij&#39;vc.0.2" expl="VC for block_mul_ij" proved="true">
 926    <proof prover="6" timelimit="1" memlimit="1000"><result status="valid" time="0.05" steps="217"/></proof>
 927    </goal>
 928    <goal name="block_mul_ij&#39;vc.0.3" expl="VC for block_mul_ij" proved="true">
 929    <proof prover="6" timelimit="1" memlimit="1000"><result status="valid" time="0.05" steps="47"/></proof>
 930    </goal>
 931   </transf>
 932   </goal>
 933   <goal name="block_mul_ij&#39;vc.1" expl="variant decrease" proved="true">
 934   <proof prover="2"><result status="valid" time="0.07"/></proof>
 935   <proof prover="10" timelimit="5" memlimit="2000"><result status="valid" time="0.02" steps="79504"/></proof>
 936   </goal>
 937   <goal name="block_mul_ij&#39;vc.2" expl="precondition" proved="true">
 938   <proof prover="10"><result status="valid" time="0.06" steps="141232"/></proof>
 939   </goal>
 940   <goal name="block_mul_ij&#39;vc.3" expl="precondition" proved="true">
 941   <proof prover="6"><result status="valid" time="0.04" steps="29"/></proof>
 942   </goal>
 943   <goal name="block_mul_ij&#39;vc.4" expl="precondition" proved="true">
 944   <transf name="eliminate_if" proved="true" >
 945    <goal name="block_mul_ij&#39;vc.4.0" expl="precondition" proved="true">
 946    <transf name="split_goal_right" proved="true" >
 947     <goal name="block_mul_ij&#39;vc.4.0.0" expl="VC for block_mul_ij" proved="true">
 948     <proof prover="6" timelimit="1" memlimit="1000"><result status="valid" time="0.04" steps="30"/></proof>
 949     </goal>
 950     <goal name="block_mul_ij&#39;vc.4.0.1" expl="VC for block_mul_ij" proved="true">
 951     <proof prover="6" timelimit="10" memlimit="4000"><result status="valid" time="0.07" steps="30"/></proof>
 952     </goal>
 953    </transf>
 954    </goal>
 955   </transf>
 956   </goal>
 957   <goal name="block_mul_ij&#39;vc.5" expl="postcondition" proved="true">
 958   <proof prover="6"><result status="valid" time="0.14" steps="159"/></proof>
 959   </goal>
 960   <goal name="block_mul_ij&#39;vc.6" expl="postcondition" proved="true">
 961   <proof prover="11"><result status="valid" time="0.14" steps="2690"/></proof>
 962   </goal>
 963  </transf>
 964  </goal>
 965  <goal name="mul_split&#39;vc" expl="VC for mul_split" proved="true">
 966  <proof prover="8"><result status="timeout" time="1.00"/></proof>
 967  <proof prover="9"><result status="timeout" time="1.00" steps="127765"/></proof>
 968  <proof prover="10"><result status="timeout" time="1.00" steps="973137"/></proof>
 969  <proof prover="11"><result status="timeout" time="1.00"/></proof>
 970  <proof prover="12"><result status="timeout" time="1.00" steps="119197"/></proof>
 971  <transf name="split_vc" proved="true" >
 972   <goal name="mul_split&#39;vc.0" expl="precondition" proved="true">
 973   <proof prover="11"><result status="valid" time="0.01" steps="37"/></proof>
 974   </goal>
 975   <goal name="mul_split&#39;vc.1" expl="precondition" proved="true">
 976   <proof prover="11"><result status="valid" time="0.02" steps="37"/></proof>
 977   </goal>
 978   <goal name="mul_split&#39;vc.2" expl="precondition" proved="true">
 979   <proof prover="11"><result status="valid" time="0.02" steps="39"/></proof>
 980   </goal>
 981   <goal name="mul_split&#39;vc.3" expl="precondition" proved="true">
 982   <proof prover="11"><result status="valid" time="0.02" steps="41"/></proof>
 983   </goal>
 984   <goal name="mul_split&#39;vc.4" expl="precondition" proved="true">
 985   <proof prover="11"><result status="valid" time="0.02" steps="41"/></proof>
 986   </goal>
 987   <goal name="mul_split&#39;vc.5" expl="precondition" proved="true">
 988   <proof prover="11"><result status="valid" time="0.04" steps="189"/></proof>
 989   </goal>
 990   <goal name="mul_split&#39;vc.6" expl="precondition" proved="true">
 991   <proof prover="11"><result status="valid" time="0.02" steps="43"/></proof>
 992   </goal>
 993   <goal name="mul_split&#39;vc.7" expl="precondition" proved="true">
 994   <proof prover="11"><result status="valid" time="0.05" steps="293"/></proof>
 995   </goal>
 996   <goal name="mul_split&#39;vc.8" expl="precondition" proved="true">
 997   <proof prover="11"><result status="valid" time="0.03" steps="131"/></proof>
 998   </goal>
 999   <goal name="mul_split&#39;vc.9" expl="assertion" proved="true">
1000   <proof prover="11"><result status="valid" time="0.04" steps="292"/></proof>
1001   </goal>
1002   <goal name="mul_split&#39;vc.10" expl="assertion" proved="true">
1003   <proof prover="8"><result status="timeout" time="1.00"/></proof>
1004   <proof prover="9"><result status="timeout" time="1.00" steps="101959"/></proof>
1005   <proof prover="10"><result status="timeout" time="1.00" steps="966634"/></proof>
1006   <proof prover="11"><result status="timeout" time="1.00"/></proof>
1007   <proof prover="12"><result status="timeout" time="1.00" steps="112435"/></proof>
1008   <transf name="split_vc" proved="true" >
1009    <goal name="mul_split&#39;vc.10.0" expl="assertion" proved="true">
1010    <proof prover="11"><result status="valid" time="0.79" steps="10033"/></proof>
1011    </goal>
1012    <goal name="mul_split&#39;vc.10.1" expl="VC for mul_split" proved="true">
1013    <proof prover="10"><result status="valid" time="0.18" steps="354021"/></proof>
1014    <proof prover="11"><result status="timeout" time="1.00"/></proof>
1015    <proof prover="12"><result status="timeout" time="1.00" steps="108501"/></proof>
1016    </goal>
1017    <goal name="mul_split&#39;vc.10.2" expl="VC for mul_split" proved="true">
1018    <proof prover="11"><result status="valid" time="0.14" steps="2305"/></proof>
1019    </goal>
1020    <goal name="mul_split&#39;vc.10.3" expl="VC for mul_split" proved="true">
1021    <proof prover="11"><result status="valid" time="0.22" steps="4017"/></proof>
1022    </goal>
1023    <goal name="mul_split&#39;vc.10.4" expl="VC for mul_split" proved="true">
1024    <proof prover="11"><result status="valid" time="0.74" steps="21213"/></proof>
1025    </goal>
1026    <goal name="mul_split&#39;vc.10.5" expl="VC for mul_split" proved="true">
1027    <proof prover="11"><result status="valid" time="0.03" steps="102"/></proof>
1028    </goal>
1029    <goal name="mul_split&#39;vc.10.6" expl="VC for mul_split" proved="true">
1030    <proof prover="8"><result status="timeout" time="1.00"/></proof>
1031    <proof prover="9"><result status="timeout" time="1.00" steps="160261"/></proof>
1032    <proof prover="10"><result status="timeout" time="1.00" steps="518625"/></proof>
1033    <proof prover="11" timelimit="5" memlimit="2000"><result status="valid" time="3.74" steps="106772"/></proof>
1034    <proof prover="12"><result status="timeout" time="1.00" steps="106785"/></proof>
1035    </goal>
1036    <goal name="mul_split&#39;vc.10.7" expl="VC for mul_split" proved="true">
1037    <proof prover="11"><result status="valid" time="0.03" steps="71"/></proof>
1038    </goal>
1039    <goal name="mul_split&#39;vc.10.8" expl="VC for mul_split" proved="true">
1040    <proof prover="11"><result status="valid" time="0.02" steps="63"/></proof>
1041    </goal>
1042   </transf>
1043   </goal>
1044   <goal name="mul_split&#39;vc.11" expl="precondition" proved="true">
1045   <proof prover="11"><result status="valid" time="0.02" steps="53"/></proof>
1046   </goal>
1047   <goal name="mul_split&#39;vc.12" expl="precondition" proved="true">
1048   <proof prover="11"><result status="valid" time="0.05" steps="634"/></proof>
1049   </goal>
1050   <goal name="mul_split&#39;vc.13" expl="postcondition" proved="true">
1051   <proof prover="11"><result status="valid" time="0.02" steps="131"/></proof>
1052   </goal>
1053  </transf>
1054  </goal>
1055  <goal name="mul_block_cell&#39;vc" expl="VC for mul_block_cell" proved="true">
1056  <transf name="split_goal_right" proved="true" >
1057   <goal name="mul_block_cell&#39;vc.0" expl="precondition" proved="true">
1058   <proof prover="6"><result status="valid" time="0.15" steps="166"/></proof>
1059   </goal>
1060   <goal name="mul_block_cell&#39;vc.1" expl="assertion" proved="true">
1061   <proof prover="9"><result status="valid" time="0.60" steps="116330"/></proof>
1062   </goal>
1063   <goal name="mul_block_cell&#39;vc.2" expl="postcondition" proved="true">
1064   <proof prover="6"><result status="valid" time="0.04" steps="45"/></proof>
1065   </goal>
1066  </transf>
1067  </goal>
1068  <goal name="mul_block&#39;vc" expl="VC for mul_block">
1069  <transf name="split_goal_right" >
1070   <goal name="mul_block&#39;vc.0" expl="assertion">
1071   </goal>
1072   <goal name="mul_block&#39;vc.1" expl="postcondition" proved="true">
1073   <proof prover="6"><result status="valid" time="0.09" steps="39"/></proof>
1074   </goal>
1075  </transf>
1076  </goal>
1077  <goal name="naive_blocks&#39;vc" expl="VC for naive_blocks">
1078  </goal>
1079  <goal name="cut_quarters&#39;vc" expl="VC for cut_quarters" proved="true">
1080  <proof prover="8"><result status="timeout" time="1.00"/></proof>
1081  <proof prover="9"><result status="timeout" time="1.00" steps="106739"/></proof>
1082  <proof prover="10"><result status="timeout" time="1.00" steps="2297494"/></proof>
1083  <proof prover="11"><result status="timeout" time="1.00"/></proof>
1084  <proof prover="12"><result status="timeout" time="1.00" steps="115784"/></proof>
1085  <transf name="split_vc" proved="true" >
1086   <goal name="cut_quarters&#39;vc.0" expl="precondition" proved="true">
1087   <proof prover="11"><result status="valid" time="0.02" steps="21"/></proof>
1088   </goal>
1089   <goal name="cut_quarters&#39;vc.1" expl="postcondition" proved="true">
1090   <proof prover="8" timelimit="5" memlimit="2000"><result status="timeout" time="5.00"/></proof>
1091   <proof prover="9" timelimit="5" memlimit="2000"><result status="timeout" time="5.00" steps="247205"/></proof>
1092   <proof prover="10" timelimit="5" memlimit="2000"><result status="timeout" time="5.00" steps="10695260"/></proof>
1093   <proof prover="11" timelimit="5" memlimit="2000"><result status="timeout" time="5.00"/></proof>
1094   <proof prover="12" timelimit="5" memlimit="2000"><result status="timeout" time="5.00" steps="635567"/></proof>
1095   <transf name="inline_goal" proved="true" >
1096    <goal name="cut_quarters&#39;vc.1.0" expl="postcondition" proved="true">
1097    <transf name="split_all_full" proved="true" >
1098     <goal name="cut_quarters&#39;vc.1.0.0" expl="VC for cut_quarters" proved="true">
1099     <proof prover="11"><result status="valid" time="0.02" steps="21"/></proof>
1100     </goal>
1101     <goal name="cut_quarters&#39;vc.1.0.1" expl="VC for cut_quarters" proved="true">
1102     <proof prover="8"><result status="timeout" time="1.00"/></proof>
1103     <proof prover="9"><result status="timeout" time="1.00" steps="95776"/></proof>
1104     <proof prover="10"><result status="timeout" time="1.00" steps="1969832"/></proof>
1105     <proof prover="11" timelimit="5" memlimit="2000"><result status="timeout" time="5.00"/></proof>
1106     <proof prover="12" timelimit="5" memlimit="2000"><result status="valid" time="1.42" steps="134599"/></proof>
1107     </goal>
1108     <goal name="cut_quarters&#39;vc.1.0.2" expl="VC for cut_quarters" proved="true">
1109     <proof prover="8"><result status="timeout" time="1.00"/></proof>
1110     <proof prover="9"><result status="timeout" time="1.00" steps="96121"/></proof>
1111     <proof prover="10"><result status="timeout" time="1.00" steps="1966417"/></proof>
1112     <proof prover="11" timelimit="5" memlimit="2000"><result status="timeout" time="5.00"/></proof>
1113     <proof prover="12" timelimit="5" memlimit="2000"><result status="valid" time="1.42" steps="134572"/></proof>
1114     </goal>
1115     <goal name="cut_quarters&#39;vc.1.0.3" expl="VC for cut_quarters" proved="true">
1116     <proof prover="8"><result status="timeout" time="1.00"/></proof>
1117     <proof prover="9"><result status="timeout" time="1.00" steps="96147"/></proof>
1118     <proof prover="10"><result status="timeout" time="1.00" steps="1990187"/></proof>
1119     <proof prover="11" timelimit="5" memlimit="2000"><result status="timeout" time="5.00"/></proof>
1120     <proof prover="12" timelimit="5" memlimit="2000"><result status="valid" time="1.42" steps="134650"/></proof>
1121     </goal>
1122     <goal name="cut_quarters&#39;vc.1.0.4" expl="VC for cut_quarters" proved="true">
1123     <proof prover="8"><result status="timeout" time="1.00"/></proof>
1124     <proof prover="9"><result status="timeout" time="1.00" steps="96142"/></proof>
1125     <proof prover="10"><result status="timeout" time="1.00" steps="1991166"/></proof>
1126     <proof prover="11" timelimit="5" memlimit="2000"><result status="timeout" time="5.00"/></proof>
1127     <proof prover="12" timelimit="5" memlimit="2000"><result status="valid" time="1.40" steps="134575"/></proof>
1128     </goal>
1129     <goal name="cut_quarters&#39;vc.1.0.5" expl="VC for cut_quarters" proved="true">
1130     <proof prover="11"><result status="timeout" time="1.00"/></proof>
1131     <proof prover="12"><result status="valid" time="0.43" steps="61687"/></proof>
1132     </goal>
1133     <goal name="cut_quarters&#39;vc.1.0.6" expl="VC for cut_quarters" proved="true">
1134     <proof prover="11"><result status="timeout" time="1.00"/></proof>
1135     <proof prover="12"><result status="valid" time="0.44" steps="61734"/></proof>
1136     </goal>
1137     <goal name="cut_quarters&#39;vc.1.0.7" expl="VC for cut_quarters" proved="true">
1138     <proof prover="11"><result status="timeout" time="1.00"/></proof>
1139     <proof prover="12"><result status="valid" time="0.44" steps="61712"/></proof>
1140     </goal>
1141     <goal name="cut_quarters&#39;vc.1.0.8" expl="VC for cut_quarters" proved="true">
1142     <proof prover="8"><result status="timeout" time="1.00"/></proof>
1143     <proof prover="9"><result status="timeout" time="1.00" steps="93152"/></proof>
1144     <proof prover="10"><result status="timeout" time="1.00" steps="2465459"/></proof>
1145     <proof prover="11" timelimit="5" memlimit="2000"><result status="timeout" time="5.00"/></proof>
1146     <proof prover="12" timelimit="5" memlimit="2000"><result status="valid" time="1.71" steps="158365"/></proof>
1147     </goal>
1148     <goal name="cut_quarters&#39;vc.1.0.9" expl="VC for cut_quarters" proved="true">
1149     <proof prover="11"><result status="timeout" time="1.00"/></proof>
1150     <proof prover="12"><result status="valid" time="0.44" steps="61595"/></proof>
1151     </goal>
1152     <goal name="cut_quarters&#39;vc.1.0.10" expl="VC for cut_quarters" proved="true">
1153     <proof prover="11"><result status="timeout" time="1.00"/></proof>
1154     <proof prover="12"><result status="valid" time="0.46" steps="61642"/></proof>
1155     </goal>
1156     <goal name="cut_quarters&#39;vc.1.0.11" expl="VC for cut_quarters" proved="true">
1157     <proof prover="11"><result status="timeout" time="1.00"/></proof>
1158     <proof prover="12"><result status="valid" time="0.44" steps="61620"/></proof>
1159     </goal>
1160     <goal name="cut_quarters&#39;vc.1.0.12" expl="VC for cut_quarters" proved="true">
1161     <proof prover="11"><result status="valid" time="0.01" steps="21"/></proof>
1162     </goal>
1163     <goal name="cut_quarters&#39;vc.1.0.13" expl="VC for cut_quarters" proved="true">
1164     <proof prover="11"><result status="timeout" time="1.00"/></proof>
1165     <proof prover="12"><result status="valid" time="0.98" steps="105179"/></proof>
1166     </goal>
1167     <goal name="cut_quarters&#39;vc.1.0.14" expl="VC for cut_quarters" proved="true">
1168     <proof prover="8"><result status="timeout" time="1.00"/></proof>
1169     <proof prover="9"><result status="timeout" time="1.00" steps="100168"/></proof>
1170     <proof prover="10"><result status="timeout" time="1.00" steps="2289197"/></proof>
1171     <proof prover="11" timelimit="5" memlimit="2000"><result status="timeout" time="5.00"/></proof>
1172     <proof prover="12" timelimit="5" memlimit="2000"><result status="valid" time="2.23" steps="207425"/></proof>
1173     </goal>
1174     <goal name="cut_quarters&#39;vc.1.0.15" expl="VC for cut_quarters" proved="true">
1175     <proof prover="8"><result status="timeout" time="1.00"/></proof>
1176     <proof prover="9"><result status="timeout" time="1.00" steps="95365"/></proof>
1177     <proof prover="10"><result status="timeout" time="1.00" steps="2146749"/></proof>
1178     <proof prover="11" timelimit="5" memlimit="2000"><result status="timeout" time="5.00"/></proof>
1179     <proof prover="12" timelimit="5" memlimit="2000"><result status="valid" time="2.78" steps="241661"/></proof>
1180     </goal>
1181     <goal name="cut_quarters&#39;vc.1.0.16" expl="VC for cut_quarters" proved="true">
1182     <proof prover="8"><result status="timeout" time="1.00"/></proof>
1183     <proof prover="9"><result status="timeout" time="1.00" steps="95356"/></proof>
1184     <proof prover="10"><result status="timeout" time="1.00" steps="2151117"/></proof>
1185     <proof prover="11" timelimit="5" memlimit="2000"><result status="timeout" time="5.00"/></proof>
1186     <proof prover="12" timelimit="5" memlimit="2000"><result status="valid" time="2.63" steps="220406"/></proof>
1187     </goal>
1188     <goal name="cut_quarters&#39;vc.1.0.17" expl="VC for cut_quarters" proved="true">
1189     <proof prover="8"><result status="timeout" time="1.00"/></proof>
1190     <proof prover="9"><result status="timeout" time="1.00" steps="95496"/></proof>
1191     <proof prover="10"><result status="timeout" time="1.00" steps="2092686"/></proof>
1192     <proof prover="11" timelimit="5" memlimit="2000"><result status="timeout" time="5.00"/></proof>
1193     <proof prover="12" timelimit="5" memlimit="2000"><result status="valid" time="2.78" steps="230684"/></proof>
1194     </goal>
1195    </transf>
1196    </goal>
1197   </transf>
1198   </goal>
1199  </transf>
1200  </goal>
1201  <goal name="paste_quarters&#39;vc" expl="VC for paste_quarters">
1202  <transf name="split_vc" >
1203   <goal name="paste_quarters&#39;vc.0" expl="assertion" proved="true">
1204   <proof prover="8"><result status="timeout" time="1.00"/></proof>
1205   <proof prover="9"><result status="timeout" time="1.00" steps="121463"/></proof>
1206   <proof prover="10"><result status="timeout" time="1.00" steps="2738845"/></proof>
1207   <proof prover="11"><result status="timeout" time="1.00"/></proof>
1208   <proof prover="12"><result status="timeout" time="1.00" steps="121545"/></proof>
1209   <transf name="split_vc" proved="true" >
1210    <goal name="paste_quarters&#39;vc.0.0" expl="assertion" proved="true">
1211    <proof prover="11"><result status="timeout" time="1.00"/></proof>
1212    <proof prover="12"><result status="valid" time="0.64" steps="76337"/></proof>
1213    </goal>
1214    <goal name="paste_quarters&#39;vc.0.1" expl="VC for paste_quarters" proved="true">
1215    <proof prover="11"><result status="valid" time="0.03" steps="46"/></proof>
1216    </goal>
1217   </transf>
1218   </goal>
1219   <goal name="paste_quarters&#39;vc.1" expl="assertion" proved="true">
1220   <proof prover="8"><result status="timeout" time="1.00"/></proof>
1221   <proof prover="9"><result status="timeout" time="1.00" steps="126595"/></proof>
1222   <proof prover="10"><result status="timeout" time="1.00" steps="2617109"/></proof>
1223   <proof prover="11"><result status="timeout" time="1.00"/></proof>
1224   <proof prover="12"><result status="timeout" time="1.00" steps="103196"/></proof>
1225   <transf name="split_vc" proved="true" >
1226    <goal name="paste_quarters&#39;vc.1.0" expl="assertion" proved="true">
1227    <proof prover="8"><result status="timeout" time="1.00"/></proof>
1228    <proof prover="9"><result status="timeout" time="1.00" steps="98090"/></proof>
1229    <proof prover="10" timelimit="5" memlimit="2000"><result status="valid" time="2.97" steps="8092475"/></proof>
1230    <proof prover="11" timelimit="5" memlimit="2000"><result status="timeout" time="5.00"/></proof>
1231    <proof prover="12" timelimit="5" memlimit="2000"><result status="timeout" time="5.00" steps="225690"/></proof>
1232    </goal>
1233    <goal name="paste_quarters&#39;vc.1.1" expl="VC for paste_quarters" proved="true">
1234    <proof prover="11"><result status="valid" time="0.03" steps="48"/></proof>
1235    </goal>
1236   </transf>
1237   </goal>
1238   <goal name="paste_quarters&#39;vc.2" expl="assertion" proved="true">
1239   <proof prover="8"><result status="timeout" time="1.00"/></proof>
1240   <proof prover="9"><result status="timeout" time="1.00" steps="108330"/></proof>
1241   <proof prover="10"><result status="timeout" time="1.00" steps="3073257"/></proof>
1242   <proof prover="11"><result status="timeout" time="1.00"/></proof>
1243   <proof prover="12"><result status="timeout" time="1.00" steps="105581"/></proof>
1244   <transf name="split_vc" proved="true" >
1245    <goal name="paste_quarters&#39;vc.2.0" expl="assertion" proved="true">
1246    <proof prover="11"><result status="valid" time="0.70" steps="6608"/></proof>
1247    </goal>
1248    <goal name="paste_quarters&#39;vc.2.1" expl="VC for paste_quarters" proved="true">
1249    <proof prover="11"><result status="valid" time="0.03" steps="48"/></proof>
1250    </goal>
1251   </transf>
1252   </goal>
1253   <goal name="paste_quarters&#39;vc.3" expl="assertion" proved="true">
1254   <proof prover="8"><result status="timeout" time="1.00"/></proof>
1255   <proof prover="9"><result status="timeout" time="1.00" steps="105991"/></proof>
1256   <proof prover="10"><result status="timeout" time="1.00" steps="2993132"/></proof>
1257   <proof prover="11"><result status="timeout" time="1.00"/></proof>
1258   <proof prover="12"><result status="timeout" time="1.00" steps="85235"/></proof>
1259   <transf name="split_vc" proved="true" >
1260    <goal name="paste_quarters&#39;vc.3.0" expl="assertion" proved="true">
1261    <proof prover="11"><result status="valid" time="0.64" steps="5956"/></proof>
1262    </goal>
1263    <goal name="paste_quarters&#39;vc.3.1" expl="VC for paste_quarters" proved="true">
1264    <proof prover="11"><result status="valid" time="0.03" steps="49"/></proof>
1265    </goal>
1266   </transf>
1267   </goal>
1268   <goal name="paste_quarters&#39;vc.4" expl="postcondition">
1269   <proof prover="8" timelimit="5" memlimit="2000"><result status="timeout" time="5.00"/></proof>
1270   <proof prover="9" timelimit="5" memlimit="2000"><result status="timeout" time="5.00" steps="243567"/></proof>
1271   <proof prover="10" timelimit="5" memlimit="2000"><result status="timeout" time="5.00" steps="6891698"/></proof>
1272   <proof prover="11" timelimit="5" memlimit="2000"><result status="timeout" time="5.00"/></proof>
1273   <proof prover="12" timelimit="5" memlimit="2000"><result status="timeout" time="5.00" steps="310025"/></proof>
1274   <transf name="inline_goal" >
1275    <goal name="paste_quarters&#39;vc.4.0" expl="postcondition">
1276    <transf name="split_all_full" >
1277     <goal name="paste_quarters&#39;vc.4.0.0" expl="VC for paste_quarters" proved="true">
1278     <proof prover="8" timelimit="5" memlimit="2000"><result status="timeout" time="5.00"/></proof>
1279     <proof prover="9" timelimit="5" memlimit="2000"><result status="timeout" time="5.00" steps="189465"/></proof>
1280     <proof prover="10" timelimit="5" memlimit="2000"><result status="timeout" time="5.00" steps="12632948"/></proof>
1281     <proof prover="11" timelimit="5" memlimit="2000"><result status="timeout" time="5.00"/></proof>
1282     <proof prover="12" timelimit="5" memlimit="2000"><result status="timeout" time="5.00" steps="315373"/></proof>
1283     <transf name="inline_goal" proved="true" >
1284      <goal name="paste_quarters&#39;vc.4.0.0.0" expl="VC for paste_quarters" proved="true">
1285      <proof prover="11" timelimit="30" memlimit="4000"><result status="timeout" time="30.00"/></proof>
1286      <proof prover="12" timelimit="30" memlimit="4000"><result status="valid" time="0.90" steps="111401"/></proof>
1287      </goal>
1288     </transf>
1289     </goal>
1290     <goal name="paste_quarters&#39;vc.4.0.1" expl="VC for paste_quarters" proved="true">
1291     <proof prover="11"><result status="valid" time="0.02" steps="47"/></proof>
1292     </goal>
1293     <goal name="paste_quarters&#39;vc.4.0.2" expl="VC for paste_quarters" proved="true">
1294     <proof prover="11"><result status="valid" time="0.02" steps="47"/></proof>
1295     </goal>
1296     <goal name="paste_quarters&#39;vc.4.0.3" expl="VC for paste_quarters" proved="true">
1297     <proof prover="11"><result status="valid" time="0.02" steps="47"/></proof>
1298     </goal>
1299     <goal name="paste_quarters&#39;vc.4.0.4" expl="VC for paste_quarters" proved="true">
1300     <proof prover="11"><result status="valid" time="0.02" steps="47"/></proof>
1301     </goal>
1302     <goal name="paste_quarters&#39;vc.4.0.5" expl="VC for paste_quarters" proved="true">
1303     <proof prover="11"><result status="valid" time="0.02" steps="47"/></proof>
1304     </goal>
1305     <goal name="paste_quarters&#39;vc.4.0.6" expl="VC for paste_quarters" proved="true">
1306     <proof prover="11"><result status="valid" time="0.02" steps="47"/></proof>
1307     </goal>
1308     <goal name="paste_quarters&#39;vc.4.0.7" expl="VC for paste_quarters" proved="true">
1309     <proof prover="11"><result status="valid" time="0.02" steps="47"/></proof>
1310     </goal>
1311     <goal name="paste_quarters&#39;vc.4.0.8" expl="VC for paste_quarters" proved="true">
1312     <proof prover="11"><result status="valid" time="0.02" steps="47"/></proof>
1313     </goal>
1314     <goal name="paste_quarters&#39;vc.4.0.9" expl="VC for paste_quarters" proved="true">
1315     <proof prover="11"><result status="valid" time="0.02" steps="47"/></proof>
1316     </goal>
1317     <goal name="paste_quarters&#39;vc.4.0.10" expl="VC for paste_quarters" proved="true">
1318     <proof prover="11"><result status="valid" time="0.02" steps="47"/></proof>
1319     </goal>
1320     <goal name="paste_quarters&#39;vc.4.0.11" expl="VC for paste_quarters" proved="true">
1321     <proof prover="11"><result status="valid" time="0.02" steps="47"/></proof>
1322     </goal>
1323     <goal name="paste_quarters&#39;vc.4.0.12" expl="VC for paste_quarters">
1324     </goal>
1325     <goal name="paste_quarters&#39;vc.4.0.13" expl="VC for paste_quarters">
1326     </goal>
1327     <goal name="paste_quarters&#39;vc.4.0.14" expl="VC for paste_quarters" proved="true">
1328     <proof prover="11"><result status="valid" time="0.02" steps="47"/></proof>
1329     </goal>
1330     <goal name="paste_quarters&#39;vc.4.0.15" expl="VC for paste_quarters" proved="true">
1331     <proof prover="11"><result status="valid" time="0.02" steps="47"/></proof>
1332     </goal>
1333     <goal name="paste_quarters&#39;vc.4.0.16" expl="VC for paste_quarters" proved="true">
1334     <proof prover="11"><result status="valid" time="0.02" steps="47"/></proof>
1335     </goal>
1336     <goal name="paste_quarters&#39;vc.4.0.17" expl="VC for paste_quarters" proved="true">
1337     <proof prover="11"><result status="valid" time="0.02" steps="47"/></proof>
1338     </goal>
1339    </transf>
1340    </goal>
1341   </transf>
1342   </goal>
1343  </transf>
1344  </goal>
1345  <goal name="strassen_pow2&#39;vc" expl="VC for strassen_pow2">
1346  <transf name="split_vc" >
1347   <goal name="strassen_pow2&#39;vc.0" expl="postcondition" proved="true">
1348   <proof prover="11"><result status="valid" time="0.02" steps="21"/></proof>
1349   </goal>
1350   <goal name="strassen_pow2&#39;vc.1" expl="precondition" proved="true">
1351   <proof prover="11"><result status="valid" time="0.02" steps="44"/></proof>
1352   </goal>
1353   <goal name="strassen_pow2&#39;vc.2" expl="precondition" proved="true">
1354   <proof prover="11"><result status="valid" time="0.04" steps="45"/></proof>
1355   </goal>
1356   <goal name="strassen_pow2&#39;vc.3" expl="precondition" proved="true">
1357   <proof prover="11"><result status="valid" time="0.05" steps="236"/></proof>
1358   </goal>
1359   <goal name="strassen_pow2&#39;vc.4" expl="precondition" proved="true">
1360   <proof prover="11"><result status="valid" time="0.04" steps="51"/></proof>
1361   </goal>
1362   <goal name="strassen_pow2&#39;vc.5" expl="precondition" proved="true">
1363   <proof prover="11"><result status="valid" time="0.04" steps="51"/></proof>
1364   </goal>
1365   <goal name="strassen_pow2&#39;vc.6" expl="precondition" proved="true">
1366   <proof prover="11"><result status="valid" time="0.05" steps="250"/></proof>
1367   </goal>
1368   <goal name="strassen_pow2&#39;vc.7" expl="assertion" proved="true">
1369   <proof prover="11"><result status="valid" time="0.03" steps="55"/></proof>
1370   </goal>
1371   <goal name="strassen_pow2&#39;vc.8" expl="assertion" proved="true">
1372   <proof prover="11"><result status="timeout" time="1.00"/></proof>
1373   <proof prover="12"><result status="valid" time="0.24" steps="30589"/></proof>
1374   </goal>
1375   <goal name="strassen_pow2&#39;vc.9" expl="assertion" proved="true">
1376   <proof prover="11"><result status="timeout" time="1.00"/></proof>
1377   <proof prover="12"><result status="valid" time="0.22" steps="31467"/></proof>
1378   </goal>
1379   <goal name="strassen_pow2&#39;vc.10" expl="precondition" proved="true">
1380   <proof prover="11"><result status="valid" time="0.02" steps="123"/></proof>
1381   </goal>
1382   <goal name="strassen_pow2&#39;vc.11" expl="precondition" proved="true">
1383   <proof prover="11"><result status="valid" time="0.02" steps="123"/></proof>
1384   </goal>
1385   <goal name="strassen_pow2&#39;vc.12" expl="assertion" proved="true">
1386   <proof prover="8"><result status="timeout" time="1.00"/></proof>
1387   <proof prover="9"><result status="timeout" time="1.00" steps="106076"/></proof>
1388   <proof prover="10"><result status="timeout" time="1.00" steps="4405239"/></proof>
1389   <proof prover="11"><result status="timeout" time="1.00"/></proof>
1390   <proof prover="12"><result status="timeout" time="1.00" steps="105191"/></proof>
1391   <transf name="split_vc" proved="true" >
1392    <goal name="strassen_pow2&#39;vc.12.0" expl="assertion" proved="true">
1393    <proof prover="11"><result status="valid" time="0.18" steps="6489"/></proof>
1394    </goal>
1395    <goal name="strassen_pow2&#39;vc.12.1" expl="assertion" proved="true">
1396    <proof prover="11"><result status="valid" time="0.47" steps="16515"/></proof>
1397    </goal>
1398    <goal name="strassen_pow2&#39;vc.12.2" expl="assertion" proved="true">
1399    <proof prover="11"><result status="valid" time="0.45" steps="16515"/></proof>
1400    </goal>
1401    <goal name="strassen_pow2&#39;vc.12.3" expl="assertion" proved="true">
1402    <proof prover="11"><result status="valid" time="0.43" steps="16516"/></proof>
1403    </goal>
1404   </transf>
1405   </goal>
1406   <goal name="strassen_pow2&#39;vc.13" expl="precondition" proved="true">
1407   <proof prover="11"><result status="valid" time="0.25" steps="11624"/></proof>
1408   </goal>
1409   <goal name="strassen_pow2&#39;vc.14" expl="precondition" proved="true">
1410   <proof prover="11"><result status="valid" time="0.27" steps="12133"/></proof>
1411   </goal>
1412   <goal name="strassen_pow2&#39;vc.15" expl="assertion" proved="true">
1413   <proof prover="11"><result status="valid" time="0.27" steps="9994"/></proof>
1414   </goal>
1415   <goal name="strassen_pow2&#39;vc.16" expl="variant decrease" proved="true">
1416   <proof prover="11"><result status="valid" time="0.02" steps="255"/></proof>
1417   </goal>
1418   <goal name="strassen_pow2&#39;vc.17" expl="precondition" proved="true">
1419   <proof prover="11"><result status="valid" time="0.03" steps="255"/></proof>
1420   </goal>
1421   <goal name="strassen_pow2&#39;vc.18" expl="precondition" proved="true">
1422   <proof prover="11"><result status="valid" time="0.09" steps="3203"/></proof>
1423   </goal>
1424   <goal name="strassen_pow2&#39;vc.19" expl="precondition" proved="true">
1425   <proof prover="11"><result status="valid" time="0.09" steps="3440"/></proof>
1426   </goal>
1427   <goal name="strassen_pow2&#39;vc.20" expl="variant decrease" proved="true">
1428   <proof prover="11"><result status="valid" time="0.03" steps="304"/></proof>
1429   </goal>
1430   <goal name="strassen_pow2&#39;vc.21" expl="precondition" proved="true">
1431   <proof prover="11"><result status="valid" time="0.03" steps="304"/></proof>
1432   </goal>
1433   <goal name="strassen_pow2&#39;vc.22" expl="precondition" proved="true">
1434   <proof prover="11"><result status="valid" time="0.12" steps="4225"/></proof>
1435   </goal>
1436   <goal name="strassen_pow2&#39;vc.23" expl="precondition" proved="true">
1437   <proof prover="11"><result status="valid" time="0.03" steps="330"/></proof>
1438   </goal>
1439   <goal name="strassen_pow2&#39;vc.24" expl="variant decrease" proved="true">
1440   <proof prover="11"><result status="valid" time="0.02" steps="304"/></proof>
1441   </goal>
1442   <goal name="strassen_pow2&#39;vc.25" expl="precondition" proved="true">
1443   <proof prover="11"><result status="valid" time="0.04" steps="304"/></proof>
1444   </goal>
1445   <goal name="strassen_pow2&#39;vc.26" expl="precondition" proved="true">
1446   <proof prover="11"><result status="valid" time="0.03" steps="305"/></proof>
1447   </goal>
1448   <goal name="strassen_pow2&#39;vc.27" expl="precondition" proved="true">
1449   <proof prover="11"><result status="valid" time="0.11" steps="4252"/></proof>
1450   </goal>
1451   <goal name="strassen_pow2&#39;vc.28" expl="variant decrease" proved="true">
1452   <proof prover="11"><result status="valid" time="0.03" steps="304"/></proof>
1453   </goal>
1454   <goal name="strassen_pow2&#39;vc.29" expl="precondition" proved="true">
1455   <proof prover="11"><result status="valid" time="0.04" steps="304"/></proof>
1456   </goal>
1457   <goal name="strassen_pow2&#39;vc.30" expl="precondition" proved="true">
1458   <proof prover="11"><result status="valid" time="0.03" steps="305"/></proof>
1459   </goal>
1460   <goal name="strassen_pow2&#39;vc.31" expl="precondition" proved="true">
1461   <proof prover="11"><result status="valid" time="0.12" steps="4252"/></proof>
1462   </goal>
1463   <goal name="strassen_pow2&#39;vc.32" expl="variant decrease" proved="true">
1464   <proof prover="11"><result status="valid" time="0.03" steps="399"/></proof>
1465   </goal>
1466   <goal name="strassen_pow2&#39;vc.33" expl="precondition" proved="true">
1467   <proof prover="11"><result status="valid" time="0.03" steps="399"/></proof>
1468   </goal>
1469   <goal name="strassen_pow2&#39;vc.34" expl="precondition" proved="true">
1470   <proof prover="11"><result status="valid" time="0.16" steps="5814"/></proof>
1471   </goal>
1472   <goal name="strassen_pow2&#39;vc.35" expl="precondition" proved="true">
1473   <proof prover="11"><result status="valid" time="0.03" steps="434"/></proof>
1474   </goal>
1475   <goal name="strassen_pow2&#39;vc.36" expl="variant decrease" proved="true">
1476   <proof prover="11"><result status="valid" time="0.03" steps="478"/></proof>
1477   </goal>
1478   <goal name="strassen_pow2&#39;vc.37" expl="precondition" proved="true">
1479   <proof prover="11"><result status="valid" time="0.04" steps="478"/></proof>
1480   </goal>
1481   <goal name="strassen_pow2&#39;vc.38" expl="precondition" proved="true">
1482   <proof prover="11"><result status="valid" time="0.24" steps="7000"/></proof>
1483   </goal>
1484   <goal name="strassen_pow2&#39;vc.39" expl="precondition" proved="true">
1485   <proof prover="11"><result status="valid" time="0.24" steps="7499"/></proof>
1486   </goal>
1487   <goal name="strassen_pow2&#39;vc.40" expl="variant decrease" proved="true">
1488   <proof prover="11"><result status="valid" time="0.05" steps="619"/></proof>
1489   </goal>
1490   <goal name="strassen_pow2&#39;vc.41" expl="precondition" proved="true">
1491   <proof prover="11"><result status="valid" time="0.04" steps="619"/></proof>
1492   </goal>
1493   <goal name="strassen_pow2&#39;vc.42" expl="precondition" proved="true">
1494   <proof prover="11"><result status="valid" time="0.32" steps="8689"/></proof>
1495   </goal>
1496   <goal name="strassen_pow2&#39;vc.43" expl="precondition" proved="true">
1497   <proof prover="11"><result status="valid" time="0.32" steps="9301"/></proof>
1498   </goal>
1499   <goal name="strassen_pow2&#39;vc.44" expl="assertion">
1500   </goal>
1501   <goal name="strassen_pow2&#39;vc.45" expl="assertion">
1502   </goal>
1503   <goal name="strassen_pow2&#39;vc.46" expl="assertion">
1504   </goal>
1505   <goal name="strassen_pow2&#39;vc.47" expl="assertion">
1506   </goal>
1507   <goal name="strassen_pow2&#39;vc.48" expl="precondition" proved="true">
1508   <proof prover="11"><result status="timeout" time="1.00"/></proof>
1509   <proof prover="12"><result status="valid" time="0.21" steps="35527"/></proof>
1510   </goal>
1511   <goal name="strassen_pow2&#39;vc.49" expl="precondition" proved="true">
1512   <proof prover="11"><result status="timeout" time="1.00"/></proof>
1513   <proof prover="12"><result status="valid" time="0.24" steps="35965"/></proof>
1514   </goal>
1515   <goal name="strassen_pow2&#39;vc.50" expl="postcondition" proved="true">
1516   <proof prover="11"><result status="timeout" time="1.00"/></proof>
1517   <proof prover="12"><result status="valid" time="0.19" steps="27283"/></proof>
1518   </goal>
1519  </transf>
1520  </goal>
1521 </theory>
1522 </file>
1523 </why3session>