2-state 6-symbol #g (T.J. & S. Ligocki)

Comment: This TM produces >1.9x10^4933 nonzeros in >2.4x10^9866 steps.
Comment: This is the currently best known 2x6 TM

State on
0
on
1
on
2
on
3
on
4
on
5
on 0 on 1 on 2 on 3 on 4 on 5
Print Move Goto Print Move Goto Print Move Goto Print Move Goto Print Move Goto Print Move Goto
A 1RB 2LA 1RH 5LB 5LA 4LB 1 right B 2 left A 1 right H 5 left B 5 left A 4 left B
B 1LA 4RB 3RB 5LB 1LB 4RA 1 left A 4 right B 3 right B 5 left B 1 left B 4 right A
Transition table
The same TM just simple.
The same TM with repetitions reduced.
The same TM with tape symbol exponents.
The same TM as 1-macro machine.
Simulation is done as 1-macro machine with pure additive config-TRs.

Pushing initial machine.
Pushing macro factor 1.

Steps             BasSteps              BasTpos  Tape contents
    0                    0                    0  A>
    1                    1                    1  1 B>
    2                    2                    0  1 <A 1
    3                    3                   -1  <A 2 1
    4                    4                    0  1 B> 2 1
    5                    5                    1  1 3 B> 1
    6                    6                    2  1 3 4 B>
    7                    7                    1  1 3 4 <A 1
    8                    8                    0  1 3 <A 5 1
    9                    9                   -1  1 <B 52 1
   10                   10                    0  4 B> 52 1
   11                   11                    1  42 A> 5 1
   12                   12                    0  42 <B 4 1
   13                   14                   -2  <B 12 4 1
   14                   15                   -3  <A 13 4 1
   15                   16                   -2  1 B> 13 4 1
   16                   19                    1  1 43 B> 4 1
   17                   20                    0  1 43 <B 12
   18                   23                   -3  1 <B 15
   19                   24                   -2  4 B> 15
   20                   29                    3  46 B>
   21                   30                    2  46 <A 1
   22                   36                   -4  <A 56 1
   23                   37                   -3  1 B> 56 1
   24                   38                   -2  1 4 A> 55 1
   25                   39                   -3  1 4 <B 4 54 1
   26                   40                   -4  1 <B 1 4 54 1
   27                   41                   -3  4 B> 1 4 54 1
   28                   42                   -2  42 B> 4 54 1
   29                   43                   -3  42 <B 1 54 1
   30                   45                   -5  <B 13 54 1
   31                   46                   -6  <A 14 54 1
   32                   47                   -5  1 B> 14 54 1
   33                   51                   -1  1 44 B> 54 1
   34                   52                    0  1 45 A> 53 1
>> Try to prove a PA-CTR with 2 Vars...
    0                    0                    0  1 41+V(1) A> 53+V(2) [*]*
    1                    1                   -1  1 41+V(1) <B 4 52+V(2) [*]*
    2               2+V(1)           -2+-1*V(1)  1 <B 11+V(1) 4 52+V(2) [*]*
    3               3+V(1)           -1+-1*V(1)  4 B> 11+V(1) 4 52+V(2) [*]*
    4             4+2*V(1)                    0  42+V(1) B> 4 52+V(2) [*]*
    5             5+2*V(1)                   -1  42+V(1) <B 1 52+V(2) [*]*
    6             7+3*V(1)           -3+-1*V(1)  <B 13+V(1) 52+V(2) [*]*
    7             8+3*V(1)           -4+-1*V(1)  <A 14+V(1) 52+V(2) [*]*
    8             9+3*V(1)           -3+-1*V(1)  1 B> 14+V(1) 52+V(2) [*]*
    9            13+4*V(1)                    1  1 44+V(1) B> 52+V(2) [*]*
   10            14+4*V(1)                    2  1 45+V(1) A> 51+V(2) [*]*
<< Success! ==> defined new CTR 1 (PA)
   34                   52                    0  1 45 A> 53 1
== Executing  PA-CTR  1, V(1)=4, V(2)=0, repcount=1, factor=4/2
   44                   82                    2  1 49 A> 5 1
   45                   83                    1  1 49 <B 4 1
   46                   92                   -8  1 <B 19 4 1
   47                   93                   -7  4 B> 19 4 1
   48                  102                    2  410 B> 4 1
   49                  103                    1  410 <B 12
   50                  113                   -9  <B 112
   51                  114                  -10  <A 113
   52                  115                   -9  1 B> 113
   53                  128                    4  1 413 B>
   54                  129                    3  1 413 <A 1
   55                  142                  -10  1 <A 513 1
   56                  143                  -11  <A 2 513 1
   57                  144                  -10  1 B> 2 513 1
   58                  145                   -9  1 3 B> 513 1
   59                  146                   -8  1 3 4 A> 512 1
   60                  147                   -9  1 3 4 <B 4 511 1
   61                  148                  -10  1 3 <B 1 4 511 1
   62                  149                  -11  1 <B 5 1 4 511 1
   63                  150                  -10  4 B> 5 1 4 511 1
   64                  151                   -9  42 A> 1 4 511 1
   65                  152                  -10  42 <A 2 4 511 1
   66                  154                  -12  <A 52 2 4 511 1
   67                  155                  -11  1 B> 52 2 4 511 1
   68                  156                  -10  1 4 A> 5 2 4 511 1
   69                  157                  -11  1 4 <B 4 2 4 511 1
   70                  158                  -12  1 <B 1 4 2 4 511 1
   71                  159                  -11  4 B> 1 4 2 4 511 1
   72                  160                  -10  42 B> 4 2 4 511 1
   73                  161                  -11  42 <B 1 2 4 511 1
   74                  163                  -13  <B 13 2 4 511 1
   75                  164                  -14  <A 14 2 4 511 1
   76                  165                  -13  1 B> 14 2 4 511 1
   77                  169                   -9  1 44 B> 2 4 511 1
   78                  170                   -8  1 44 3 B> 4 511 1
   79                  171                   -9  1 44 3 <B 1 511 1
   80                  172                  -10  1 44 <B 5 1 511 1
   81                  176                  -14  1 <B 14 5 1 511 1
   82                  177                  -13  4 B> 14 5 1 511 1
   83                  181                   -9  45 B> 5 1 511 1
   84                  182                   -8  46 A> 1 511 1
   85                  183                   -9  46 <A 2 511 1
   86                  189                  -15  <A 56 2 511 1
   87                  190                  -14  1 B> 56 2 511 1
   88                  191                  -13  1 4 A> 55 2 511 1
   89                  192                  -14  1 4 <B 4 54 2 511 1
   90                  193                  -15  1 <B 1 4 54 2 511 1
   91                  194                  -14  4 B> 1 4 54 2 511 1
   92                  195                  -13  42 B> 4 54 2 511 1
   93                  196                  -14  42 <B 1 54 2 511 1
   94                  198                  -16  <B 13 54 2 511 1
   95                  199                  -17  <A 14 54 2 511 1
   96                  200                  -16  1 B> 14 54 2 511 1
   97                  204                  -12  1 44 B> 54 2 511 1
   98                  205                  -11  1 45 A> 53 2 511 1
>> Try to prove a PA-CTR with 2 Vars...
    0                    0                    0  1 41+V(1) A> 53+V(2) [*]* [*]* [*]*
    1                    1                   -1  1 41+V(1) <B 4 52+V(2) [*]* [*]* [*]*
    2               2+V(1)           -2+-1*V(1)  1 <B 11+V(1) 4 52+V(2) [*]* [*]* [*]*
    3               3+V(1)           -1+-1*V(1)  4 B> 11+V(1) 4 52+V(2) [*]* [*]* [*]*
    4             4+2*V(1)                    0  42+V(1) B> 4 52+V(2) [*]* [*]* [*]*
    5             5+2*V(1)                   -1  42+V(1) <B 1 52+V(2) [*]* [*]* [*]*
    6             7+3*V(1)           -3+-1*V(1)  <B 13+V(1) 52+V(2) [*]* [*]* [*]*
    7             8+3*V(1)           -4+-1*V(1)  <A 14+V(1) 52+V(2) [*]* [*]* [*]*
    8             9+3*V(1)           -3+-1*V(1)  1 B> 14+V(1) 52+V(2) [*]* [*]* [*]*
    9            13+4*V(1)                    1  1 44+V(1) B> 52+V(2) [*]* [*]* [*]*
   10            14+4*V(1)                    2  1 45+V(1) A> 51+V(2) [*]* [*]* [*]*
<< Success! ==> defined new CTR 2 (PA)
   98                  205                  -11  1 45 A> 53 2 511 1
== Executing  PA-CTR  2, V(1)=4, V(2)=0, repcount=1, factor=4/2
  108                  235                   -9  1 49 A> 5 2 511 1
  109                  236                  -10  1 49 <B 4 2 511 1
  110                  245                  -19  1 <B 19 4 2 511 1
  111                  246                  -18  4 B> 19 4 2 511 1
  112                  255                   -9  410 B> 4 2 511 1
  113                  256                  -10  410 <B 1 2 511 1
  114                  266                  -20  <B 111 2 511 1
  115                  267                  -21  <A 112 2 511 1
  116                  268                  -20  1 B> 112 2 511 1
  117                  280                   -8  1 412 B> 2 511 1
  118                  281                   -7  1 412 3 B> 511 1
  119                  282                   -6  1 412 3 4 A> 510 1
  120                  283                   -7  1 412 3 4 <B 4 59 1
  121                  284                   -8  1 412 3 <B 1 4 59 1
  122                  285                   -9  1 412 <B 5 1 4 59 1
  123                  297                  -21  1 <B 112 5 1 4 59 1
  124                  298                  -20  4 B> 112 5 1 4 59 1
  125                  310                   -8  413 B> 5 1 4 59 1
  126                  311                   -7  414 A> 1 4 59 1
  127                  312                   -8  414 <A 2 4 59 1
  128                  326                  -22  <A 514 2 4 59 1
  129                  327                  -21  1 B> 514 2 4 59 1
  130                  328                  -20  1 4 A> 513 2 4 59 1
  131                  329                  -21  1 4 <B 4 512 2 4 59 1
  132                  330                  -22  1 <B 1 4 512 2 4 59 1
  133                  331                  -21  4 B> 1 4 512 2 4 59 1
  134                  332                  -20  42 B> 4 512 2 4 59 1
  135                  333                  -21  42 <B 1 512 2 4 59 1
  136                  335                  -23  <B 13 512 2 4 59 1
  137                  336                  -24  <A 14 512 2 4 59 1
  138                  337                  -23  1 B> 14 512 2 4 59 1
  139                  341                  -19  1 44 B> 512 2 4 59 1
  140                  342                  -18  1 45 A> 511 2 4 59 1
>> Try to prove a PA-CTR with 2 Vars...
    0                    0                    0  1 41+V(1) A> 53+V(2) [*]* [*]* [*]* [*]*
    1                    1                   -1  1 41+V(1) <B 4 52+V(2) [*]* [*]* [*]* [*]*
    2               2+V(1)           -2+-1*V(1)  1 <B 11+V(1) 4 52+V(2) [*]* [*]* [*]* [*]*
    3               3+V(1)           -1+-1*V(1)  4 B> 11+V(1) 4 52+V(2) [*]* [*]* [*]* [*]*
    4             4+2*V(1)                    0  42+V(1) B> 4 52+V(2) [*]* [*]* [*]* [*]*
    5             5+2*V(1)                   -1  42+V(1) <B 1 52+V(2) [*]* [*]* [*]* [*]*
    6             7+3*V(1)           -3+-1*V(1)  <B 13+V(1) 52+V(2) [*]* [*]* [*]* [*]*
    7             8+3*V(1)           -4+-1*V(1)  <A 14+V(1) 52+V(2) [*]* [*]* [*]* [*]*
    8             9+3*V(1)           -3+-1*V(1)  1 B> 14+V(1) 52+V(2) [*]* [*]* [*]* [*]*
    9            13+4*V(1)                    1  1 44+V(1) B> 52+V(2) [*]* [*]* [*]* [*]*
   10            14+4*V(1)                    2  1 45+V(1) A> 51+V(2) [*]* [*]* [*]* [*]*
<< Success! ==> defined new CTR 3 (PA)
  140                  342                  -18  1 45 A> 511 2 4 59 1
== Executing  PA-CTR  3, V(1)=4, V(2)=8, repcount=5, factor=4/2
  190                  652                   -8  1 425 A> 5 2 4 59 1
  191                  653                   -9  1 425 <B 4 2 4 59 1
  192                  678                  -34  1 <B 125 4 2 4 59 1
  193                  679                  -33  4 B> 125 4 2 4 59 1
  194                  704                   -8  426 B> 4 2 4 59 1
  195                  705                   -9  426 <B 1 2 4 59 1
  196                  731                  -35  <B 127 2 4 59 1
  197                  732                  -36  <A 128 2 4 59 1
  198                  733                  -35  1 B> 128 2 4 59 1
  199                  761                   -7  1 428 B> 2 4 59 1
  200                  762                   -6  1 428 3 B> 4 59 1
  201                  763                   -7  1 428 3 <B 1 59 1
  202                  764                   -8  1 428 <B 5 1 59 1
  203                  792                  -36  1 <B 128 5 1 59 1
  204                  793                  -35  4 B> 128 5 1 59 1
  205                  821                   -7  429 B> 5 1 59 1
  206                  822                   -6  430 A> 1 59 1
  207                  823                   -7  430 <A 2 59 1
  208                  853                  -37  <A 530 2 59 1
  209                  854                  -36  1 B> 530 2 59 1
  210                  855                  -35  1 4 A> 529 2 59 1
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  1 41+V(1) A> 5 2 4 [*]* [*]*
    1                    1                   -1  1 41+V(1) <B 4 2 4 [*]* [*]*
    2               2+V(1)           -2+-1*V(1)  1 <B 11+V(1) 4 2 4 [*]* [*]*
    3               3+V(1)           -1+-1*V(1)  4 B> 11+V(1) 4 2 4 [*]* [*]*
    4             4+2*V(1)                    0  42+V(1) B> 4 2 4 [*]* [*]*
    5             5+2*V(1)                   -1  42+V(1) <B 1 2 4 [*]* [*]*
    6             7+3*V(1)           -3+-1*V(1)  <B 13+V(1) 2 4 [*]* [*]*
    7             8+3*V(1)           -4+-1*V(1)  <A 14+V(1) 2 4 [*]* [*]*
    8             9+3*V(1)           -3+-1*V(1)  1 B> 14+V(1) 2 4 [*]* [*]*
    9            13+4*V(1)                    1  1 44+V(1) B> 2 4 [*]* [*]*
   10            14+4*V(1)                    2  1 44+V(1) 3 B> 4 [*]* [*]*
   11            15+4*V(1)                    1  1 44+V(1) 3 <B 1 [*]* [*]*
   12            16+4*V(1)                    0  1 44+V(1) <B 5 1 [*]* [*]*
   13            20+5*V(1)           -4+-1*V(1)  1 <B 14+V(1) 5 1 [*]* [*]*
   14            21+5*V(1)           -3+-1*V(1)  4 B> 14+V(1) 5 1 [*]* [*]*
   15            25+6*V(1)                    1  45+V(1) B> 5 1 [*]* [*]*
   16            26+6*V(1)                    2  46+V(1) A> 1 [*]* [*]*
   17            27+6*V(1)                    1  46+V(1) <A 2 [*]* [*]*
   18            33+7*V(1)           -5+-1*V(1)  <A 56+V(1) 2 [*]* [*]*
   19            34+7*V(1)           -4+-1*V(1)  1 B> 56+V(1) 2 [*]* [*]*
   20            35+7*V(1)           -3+-1*V(1)  1 4 A> 55+V(1) 2 [*]* [*]*
<< Success! ==> defined new CTR 4 (PPA)
  210                  855                  -35  1 4 A> 529 2 59 1
== Executing  PA-CTR  2, V(1)=0, V(2)=26, repcount=14, factor=4/2
  350                 2507                   -7  1 457 A> 5 2 59 1
  351                 2508                   -8  1 457 <B 4 2 59 1
  352                 2565                  -65  1 <B 157 4 2 59 1
  353                 2566                  -64  4 B> 157 4 2 59 1
  354                 2623                   -7  458 B> 4 2 59 1
  355                 2624                   -8  458 <B 1 2 59 1
  356                 2682                  -66  <B 159 2 59 1
  357                 2683                  -67  <A 160 2 59 1
  358                 2684                  -66  1 B> 160 2 59 1
  359                 2744                   -6  1 460 B> 2 59 1
  360                 2745                   -5  1 460 3 B> 59 1
  361                 2746                   -4  1 460 3 4 A> 58 1
  362                 2747                   -5  1 460 3 4 <B 4 57 1
  363                 2748                   -6  1 460 3 <B 1 4 57 1
  364                 2749                   -7  1 460 <B 5 1 4 57 1
  365                 2809                  -67  1 <B 160 5 1 4 57 1
  366                 2810                  -66  4 B> 160 5 1 4 57 1
  367                 2870                   -6  461 B> 5 1 4 57 1
  368                 2871                   -5  462 A> 1 4 57 1
  369                 2872                   -6  462 <A 2 4 57 1
  370                 2934                  -68  <A 562 2 4 57 1
  371                 2935                  -67  1 B> 562 2 4 57 1
  372                 2936                  -66  1 4 A> 561 2 4 57 1
>> Try to prove a PPA-CTR with 2 Vars...
    0                    0                    0  1 41+V(1) A> 5 2 53+V(2) [*]*
    1                    1                   -1  1 41+V(1) <B 4 2 53+V(2) [*]*
    2               2+V(1)           -2+-1*V(1)  1 <B 11+V(1) 4 2 53+V(2) [*]*
    3               3+V(1)           -1+-1*V(1)  4 B> 11+V(1) 4 2 53+V(2) [*]*
    4             4+2*V(1)                    0  42+V(1) B> 4 2 53+V(2) [*]*
    5             5+2*V(1)                   -1  42+V(1) <B 1 2 53+V(2) [*]*
    6             7+3*V(1)           -3+-1*V(1)  <B 13+V(1) 2 53+V(2) [*]*
    7             8+3*V(1)           -4+-1*V(1)  <A 14+V(1) 2 53+V(2) [*]*
    8             9+3*V(1)           -3+-1*V(1)  1 B> 14+V(1) 2 53+V(2) [*]*
    9            13+4*V(1)                    1  1 44+V(1) B> 2 53+V(2) [*]*
   10            14+4*V(1)                    2  1 44+V(1) 3 B> 53+V(2) [*]*
   11            15+4*V(1)                    3  1 44+V(1) 3 4 A> 52+V(2) [*]*
   12            16+4*V(1)                    2  1 44+V(1) 3 4 <B 4 51+V(2) [*]*
   13            17+4*V(1)                    1  1 44+V(1) 3 <B 1 4 51+V(2) [*]*
   14            18+4*V(1)                    0  1 44+V(1) <B 5 1 4 51+V(2) [*]*
   15            22+5*V(1)           -4+-1*V(1)  1 <B 14+V(1) 5 1 4 51+V(2) [*]*
   16            23+5*V(1)           -3+-1*V(1)  4 B> 14+V(1) 5 1 4 51+V(2) [*]*
   17            27+6*V(1)                    1  45+V(1) B> 5 1 4 51+V(2) [*]*
   18            28+6*V(1)                    2  46+V(1) A> 1 4 51+V(2) [*]*
   19            29+6*V(1)                    1  46+V(1) <A 2 4 51+V(2) [*]*
   20            35+7*V(1)           -5+-1*V(1)  <A 56+V(1) 2 4 51+V(2) [*]*
   21            36+7*V(1)           -4+-1*V(1)  1 B> 56+V(1) 2 4 51+V(2) [*]*
   22            37+7*V(1)           -3+-1*V(1)  1 4 A> 55+V(1) 2 4 51+V(2) [*]*
<< Success! ==> defined new CTR 5 (PPA)
  372                 2936                  -66  1 4 A> 561 2 4 57 1
== Executing  PA-CTR  3, V(1)=0, V(2)=58, repcount=30, factor=4/2
  672                10316                   -6  1 4121 A> 5 2 4 57 1
== Executing PPA-CTR  4 (once), V(1)=120
  692                11191                 -129  1 4 A> 5125 2 57 1
== Executing  PA-CTR  2, V(1)=0, V(2)=122, repcount=62, factor=4/2
 1312                42315                   -5  1 4249 A> 5 2 57 1
== Executing PPA-CTR  5 (once), V(1)=248, V(2)=4
 1334                44088                 -256  1 4 A> 5253 2 4 55 1
== Executing  PA-CTR  3, V(1)=0, V(2)=250, repcount=126, factor=4/2
 2594               171852                   -4  1 4505 A> 5 2 4 55 1
== Executing PPA-CTR  4 (once), V(1)=504
 2614               175415                 -511  1 4 A> 5509 2 55 1
== Executing  PA-CTR  2, V(1)=0, V(2)=506, repcount=254, factor=4/2
 5154               693067                   -3  1 41017 A> 5 2 55 1
== Executing PPA-CTR  5 (once), V(1)=1016, V(2)=2
 5176               700216                -1022  1 4 A> 51021 2 4 53 1
== Executing  PA-CTR  3, V(1)=0, V(2)=1018, repcount=510, factor=4/2
10276              2784076                   -2  1 42041 A> 5 2 4 53 1
== Executing PPA-CTR  4 (once), V(1)=2040
10296              2798391                -2045  1 4 A> 52045 2 53 1
== Executing  PA-CTR  2, V(1)=0, V(2)=2042, repcount=1022, factor=4/2
20516             11160395                   -1  1 44089 A> 5 2 53 1
== Executing PPA-CTR  5 (once), V(1)=4088, V(2)=0
20538             11189048                -4092  1 4 A> 54093 2 4 5 1
== Executing  PA-CTR  3, V(1)=0, V(2)=4090, repcount=2046, factor=4/2
40998             44690252                    0  1 48185 A> 5 2 4 5 1
== Executing PPA-CTR  4 (once), V(1)=8184
41018             44747575                -8187  1 4 A> 58189 2 5 1
== Executing  PA-CTR  2, V(1)=0, V(2)=8186, repcount=4094, factor=4/2
81958            178858827                    1  1 416377 A> 5 2 5 1
81959            178858828                    0  1 416377 <B 4 2 5 1
81960            178875205               -16377  1 <B 116377 4 2 5 1
81961            178875206               -16376  4 B> 116377 4 2 5 1
81962            178891583                    1  416378 B> 4 2 5 1
81963            178891584                    0  416378 <B 1 2 5 1
81964            178907962               -16378  <B 116379 2 5 1
81965            178907963               -16379  <A 116380 2 5 1
81966            178907964               -16378  1 B> 116380 2 5 1
81967            178924344                    2  1 416380 B> 2 5 1
81968            178924345                    3  1 416380 3 B> 5 1
81969            178924346                    4  1 416380 3 4 A> 1
81970            178924347                    3  1 416380 3 4 <A 2
81971            178924348                    2  1 416380 3 <A 5 2
81972            178924349                    1  1 416380 <B 52 2
81973            178940729               -16379  1 <B 116380 52 2
81974            178940730               -16378  4 B> 116380 52 2
81975            178957110                    2  416381 B> 52 2
81976            178957111                    3  416382 A> 5 2
81977            178957112                    2  416382 <B 4 2
81978            178973494               -16380  <B 116382 4 2
81979            178973495               -16381  <A 116383 4 2
81980            178973496               -16380  1 B> 116383 4 2
81981            178989879                    3  1 416383 B> 4 2
81982            178989880                    2  1 416383 <B 1 2
81983            179006263               -16381  1 <B 116384 2
81984            179006264               -16380  4 B> 116384 2
81985            179022648                    4  416385 B> 2
81986            179022649                    5  416385 3 B>
81987            179022650                    4  416385 3 <A 1
81988            179022651                    3  416385 <B 5 1
81989            179039036               -16382  <B 116385 5 1
81990            179039037               -16383  <A 116386 5 1
81991            179039038               -16382  1 B> 116386 5 1
81992            179055424                    4  1 416386 B> 5 1
81993            179055425                    5  1 416387 A> 1
81994            179055426                    4  1 416387 <A 2
81995            179071813               -16383  1 <A 516387 2
81996            179071814               -16384  <A 2 516387 2
81997            179071815               -16383  1 B> 2 516387 2
81998            179071816               -16382  1 3 B> 516387 2
81999            179071817               -16381  1 3 4 A> 516386 2
82000            179071818               -16382  1 3 4 <B 4 516385 2
82001            179071819               -16383  1 3 <B 1 4 516385 2
82002            179071820               -16384  1 <B 5 1 4 516385 2
82003            179071821               -16383  4 B> 5 1 4 516385 2
82004            179071822               -16382  42 A> 1 4 516385 2
82005            179071823               -16383  42 <A 2 4 516385 2
82006            179071825               -16385  <A 52 2 4 516385 2
82007            179071826               -16384  1 B> 52 2 4 516385 2
82008            179071827               -16383  1 4 A> 5 2 4 516385 2
82009            179071828               -16384  1 4 <B 4 2 4 516385 2
82010            179071829               -16385  1 <B 1 4 2 4 516385 2
82011            179071830               -16384  4 B> 1 4 2 4 516385 2
82012            179071831               -16383  42 B> 4 2 4 516385 2
82013            179071832               -16384  42 <B 1 2 4 516385 2
82014            179071834               -16386  <B 13 2 4 516385 2
82015            179071835               -16387  <A 14 2 4 516385 2
82016            179071836               -16386  1 B> 14 2 4 516385 2
82017            179071840               -16382  1 44 B> 2 4 516385 2
82018            179071841               -16381  1 44 3 B> 4 516385 2
82019            179071842               -16382  1 44 3 <B 1 516385 2
82020            179071843               -16383  1 44 <B 5 1 516385 2
82021            179071847               -16387  1 <B 14 5 1 516385 2
82022            179071848               -16386  4 B> 14 5 1 516385 2
82023            179071852               -16382  45 B> 5 1 516385 2
82024            179071853               -16381  46 A> 1 516385 2
82025            179071854               -16382  46 <A 2 516385 2
82026            179071860               -16388  <A 56 2 516385 2
82027            179071861               -16387  1 B> 56 2 516385 2
82028            179071862               -16386  1 4 A> 55 2 516385 2
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  1 41+V(1) A> 5 2 5 1
    1                    1                   -1  1 41+V(1) <B 4 2 5 1
    2               2+V(1)           -2+-1*V(1)  1 <B 11+V(1) 4 2 5 1
    3               3+V(1)           -1+-1*V(1)  4 B> 11+V(1) 4 2 5 1
    4             4+2*V(1)                    0  42+V(1) B> 4 2 5 1
    5             5+2*V(1)                   -1  42+V(1) <B 1 2 5 1
    6             7+3*V(1)           -3+-1*V(1)  <B 13+V(1) 2 5 1
    7             8+3*V(1)           -4+-1*V(1)  <A 14+V(1) 2 5 1
    8             9+3*V(1)           -3+-1*V(1)  1 B> 14+V(1) 2 5 1
    9            13+4*V(1)                    1  1 44+V(1) B> 2 5 1
   10            14+4*V(1)                    2  1 44+V(1) 3 B> 5 1
   11            15+4*V(1)                    3  1 44+V(1) 3 4 A> 1
   12            16+4*V(1)                    2  1 44+V(1) 3 4 <A 2
   13            17+4*V(1)                    1  1 44+V(1) 3 <A 5 2
   14            18+4*V(1)                    0  1 44+V(1) <B 52 2
   15            22+5*V(1)           -4+-1*V(1)  1 <B 14+V(1) 52 2
   16            23+5*V(1)           -3+-1*V(1)  4 B> 14+V(1) 52 2
   17            27+6*V(1)                    1  45+V(1) B> 52 2
   18            28+6*V(1)                    2  46+V(1) A> 5 2
   19            29+6*V(1)                    1  46+V(1) <B 4 2
   20            35+7*V(1)           -5+-1*V(1)  <B 16+V(1) 4 2
   21            36+7*V(1)           -6+-1*V(1)  <A 17+V(1) 4 2
   22            37+7*V(1)           -5+-1*V(1)  1 B> 17+V(1) 4 2
   23            44+8*V(1)                    2  1 47+V(1) B> 4 2
   24            45+8*V(1)                    1  1 47+V(1) <B 1 2
   25            52+9*V(1)           -6+-1*V(1)  1 <B 18+V(1) 2
   26            53+9*V(1)           -5+-1*V(1)  4 B> 18+V(1) 2
   27           61+10*V(1)                    3  49+V(1) B> 2
   28           62+10*V(1)                    4  49+V(1) 3 B>
   29           63+10*V(1)                    3  49+V(1) 3 <A 1
   30           64+10*V(1)                    2  49+V(1) <B 5 1
   31           73+11*V(1)           -7+-1*V(1)  <B 19+V(1) 5 1
   32           74+11*V(1)           -8+-1*V(1)  <A 110+V(1) 5 1
   33           75+11*V(1)           -7+-1*V(1)  1 B> 110+V(1) 5 1
   34           85+12*V(1)                    3  1 410+V(1) B> 5 1
   35           86+12*V(1)                    4  1 411+V(1) A> 1
   36           87+12*V(1)                    3  1 411+V(1) <A 2
   37           98+13*V(1)           -8+-1*V(1)  1 <A 511+V(1) 2
   38           99+13*V(1)           -9+-1*V(1)  <A 2 511+V(1) 2
   39          100+13*V(1)           -8+-1*V(1)  1 B> 2 511+V(1) 2
   40          101+13*V(1)           -7+-1*V(1)  1 3 B> 511+V(1) 2
   41          102+13*V(1)           -6+-1*V(1)  1 3 4 A> 510+V(1) 2
   42          103+13*V(1)           -7+-1*V(1)  1 3 4 <B 4 59+V(1) 2
   43          104+13*V(1)           -8+-1*V(1)  1 3 <B 1 4 59+V(1) 2
   44          105+13*V(1)           -9+-1*V(1)  1 <B 5 1 4 59+V(1) 2
   45          106+13*V(1)           -8+-1*V(1)  4 B> 5 1 4 59+V(1) 2
   46          107+13*V(1)           -7+-1*V(1)  42 A> 1 4 59+V(1) 2
   47          108+13*V(1)           -8+-1*V(1)  42 <A 2 4 59+V(1) 2
   48          110+13*V(1)          -10+-1*V(1)  <A 52 2 4 59+V(1) 2
   49          111+13*V(1)           -9+-1*V(1)  1 B> 52 2 4 59+V(1) 2
   50          112+13*V(1)           -8+-1*V(1)  1 4 A> 5 2 4 59+V(1) 2
   51          113+13*V(1)           -9+-1*V(1)  1 4 <B 4 2 4 59+V(1) 2
   52          114+13*V(1)          -10+-1*V(1)  1 <B 1 4 2 4 59+V(1) 2
   53          115+13*V(1)           -9+-1*V(1)  4 B> 1 4 2 4 59+V(1) 2
   54          116+13*V(1)           -8+-1*V(1)  42 B> 4 2 4 59+V(1) 2
   55          117+13*V(1)           -9+-1*V(1)  42 <B 1 2 4 59+V(1) 2
   56          119+13*V(1)          -11+-1*V(1)  <B 13 2 4 59+V(1) 2
   57          120+13*V(1)          -12+-1*V(1)  <A 14 2 4 59+V(1) 2
   58          121+13*V(1)          -11+-1*V(1)  1 B> 14 2 4 59+V(1) 2
   59          125+13*V(1)           -7+-1*V(1)  1 44 B> 2 4 59+V(1) 2
   60          126+13*V(1)           -6+-1*V(1)  1 44 3 B> 4 59+V(1) 2
   61          127+13*V(1)           -7+-1*V(1)  1 44 3 <B 1 59+V(1) 2
   62          128+13*V(1)           -8+-1*V(1)  1 44 <B 5 1 59+V(1) 2
   63          132+13*V(1)          -12+-1*V(1)  1 <B 14 5 1 59+V(1) 2
   64          133+13*V(1)          -11+-1*V(1)  4 B> 14 5 1 59+V(1) 2
   65          137+13*V(1)           -7+-1*V(1)  45 B> 5 1 59+V(1) 2
   66          138+13*V(1)           -6+-1*V(1)  46 A> 1 59+V(1) 2
   67          139+13*V(1)           -7+-1*V(1)  46 <A 2 59+V(1) 2
   68          145+13*V(1)          -13+-1*V(1)  <A 56 2 59+V(1) 2
   69          146+13*V(1)          -12+-1*V(1)  1 B> 56 2 59+V(1) 2
   70          147+13*V(1)          -11+-1*V(1)  1 4 A> 55 2 59+V(1) 2
<< Success! ==> defined new CTR 6 (PPA)
82028            179071862               -16386  1 4 A> 55 2 516385 2
== Executing  PA-CTR  2, V(1)=0, V(2)=2, repcount=2, factor=4/2
82048            179071906               -16382  1 49 A> 5 2 516385 2
== Executing PPA-CTR  5 (once), V(1)=8, V(2)=16382
82070            179071999               -16393  1 4 A> 513 2 4 516383 2
== Executing  PA-CTR  3, V(1)=0, V(2)=10, repcount=6, factor=4/2
82130            179072323               -16381  1 425 A> 5 2 4 516383 2
== Executing PPA-CTR  4 (once), V(1)=24
82150            179072526               -16408  1 4 A> 529 2 516383 2
== Executing  PA-CTR  2, V(1)=0, V(2)=26, repcount=14, factor=4/2
82290            179074178               -16380  1 457 A> 5 2 516383 2
== Executing PPA-CTR  5 (once), V(1)=56, V(2)=16380
82312            179074607               -16439  1 4 A> 561 2 4 516381 2
== Executing  PA-CTR  3, V(1)=0, V(2)=58, repcount=30, factor=4/2
82612            179081987               -16379  1 4121 A> 5 2 4 516381 2
== Executing PPA-CTR  4 (once), V(1)=120
82632            179082862               -16502  1 4 A> 5125 2 516381 2
== Executing  PA-CTR  2, V(1)=0, V(2)=122, repcount=62, factor=4/2
83252            179113986               -16378  1 4249 A> 5 2 516381 2
== Executing PPA-CTR  5 (once), V(1)=248, V(2)=16378
83274            179115759               -16629  1 4 A> 5253 2 4 516379 2
== Executing  PA-CTR  3, V(1)=0, V(2)=250, repcount=126, factor=4/2
84534            179243523               -16377  1 4505 A> 5 2 4 516379 2
== Executing PPA-CTR  4 (once), V(1)=504
84554            179247086               -16884  1 4 A> 5509 2 516379 2
== Executing  PA-CTR  2, V(1)=0, V(2)=506, repcount=254, factor=4/2
87094            179764738               -16376  1 41017 A> 5 2 516379 2
== Executing PPA-CTR  5 (once), V(1)=1016, V(2)=16376
87116            179771887               -17395  1 4 A> 51021 2 4 516377 2
== Executing  PA-CTR  3, V(1)=0, V(2)=1018, repcount=510, factor=4/2
92216            181855747               -16375  1 42041 A> 5 2 4 516377 2
== Executing PPA-CTR  4 (once), V(1)=2040
92236            181870062               -18418  1 4 A> 52045 2 516377 2
== Executing  PA-CTR  2, V(1)=0, V(2)=2042, repcount=1022, factor=4/2
102456            190232066               -16374  1 44089 A> 5 2 516377 2
== Executing PPA-CTR  5 (once), V(1)=4088, V(2)=16374
102478            190260719               -20465  1 4 A> 54093 2 4 516375 2
== Executing  PA-CTR  3, V(1)=0, V(2)=4090, repcount=2046, factor=4/2
122938            223761923               -16373  1 48185 A> 5 2 4 516375 2
== Executing PPA-CTR  4 (once), V(1)=8184
122958            223819246               -24560  1 4 A> 58189 2 516375 2
== Executing  PA-CTR  2, V(1)=0, V(2)=8186, repcount=4094, factor=4/2
163898            357930498               -16372  1 416377 A> 5 2 516375 2
== Executing PPA-CTR  5 (once), V(1)=16376, V(2)=16372
163920            358045167               -32751  1 4 A> 516381 2 4 516373 2
== Executing  PA-CTR  3, V(1)=0, V(2)=16378, repcount=8190, factor=4/2
245820            894703107               -16371  1 432761 A> 5 2 4 516373 2
== Executing PPA-CTR  4 (once), V(1)=32760
245840            894932462               -49134  1 4 A> 532765 2 516373 2
== Executing  PA-CTR  2, V(1)=0, V(2)=32762, repcount=16382, factor=4/2
409660           3041990146               -16370  1 465529 A> 5 2 516373 2
== Executing PPA-CTR  5 (once), V(1)=65528, V(2)=16370
409682           3042448879               -81901  1 4 A> 565533 2 4 516371 2
== Executing  PA-CTR  3, V(1)=0, V(2)=65530, repcount=32766, factor=4/2
737342          11631531523               -16369  1 4131065 A> 5 2 4 516371 2
== Executing PPA-CTR  4 (once), V(1)=131064
737362          11632449006              -147436  1 4 A> 5131069 2 516371 2
== Executing  PA-CTR  2, V(1)=0, V(2)=131066, repcount=65534, factor=4/2
1392702          45990483458               -16368  1 4262137 A> 5 2 516371 2
== Executing PPA-CTR  5 (once), V(1)=262136, V(2)=16368
1392724          45992318447              -278507  1 4 A> 5262141 2 4 516369 2
== Executing  PA-CTR  3, V(1)=0, V(2)=262138, repcount=131070, factor=4/2
2703424         183427864067               -16367  1 4524281 A> 5 2 4 516369 2
== Executing PPA-CTR  4 (once), V(1)=524280
2703444         183431534062              -540650  1 4 A> 5524285 2 516369 2
== Executing  PA-CTR  2, V(1)=0, V(2)=524282, repcount=262142, factor=4/2
5324864         733180532226               -16366  1 41048569 A> 5 2 516369 2
== Executing PPA-CTR  5 (once), V(1)=1048568, V(2)=16366
5324886         733187872239             -1064937  1 4 A> 51048573 2 4 516367 2
== Executing  PA-CTR  3, V(1)=0, V(2)=1048570, repcount=524286, factor=4/2
10567746        2932197496323               -16365  1 42097145 A> 5 2 4 516367 2
== Executing PPA-CTR  4 (once), V(1)=2097144
10567766        2932212176366             -2113512  1 4 A> 52097149 2 516367 2
== Executing  PA-CTR  2, V(1)=0, V(2)=2097146, repcount=1048574, factor=4/2
21053506       11728277935618               -16364  1 44194297 A> 5 2 516367 2
== Executing PPA-CTR  5 (once), V(1)=4194296, V(2)=16364
21053528       11728307295727             -4210663  1 4 A> 54194301 2 4 516365 2
== Executing  PA-CTR  3, V(1)=0, V(2)=4194298, repcount=2097150, factor=4/2
42025028       46912624858627               -16363  1 48388601 A> 5 2 4 516365 2
== Executing PPA-CTR  4 (once), V(1)=8388600
42025048       46912683578862             -8404966  1 4 A> 58388605 2 516365 2
== Executing  PA-CTR  2, V(1)=0, V(2)=8388602, repcount=4194302, factor=4/2
83968068      187650062882306               -16362  1 416777209 A> 5 2 516365 2
== Executing PPA-CTR  5 (once), V(1)=16777208, V(2)=16362
83968090      187650180322799            -16793573  1 4 A> 516777213 2 4 516363 2
== Executing  PA-CTR  3, V(1)=0, V(2)=16777210, repcount=8388606, factor=4/2
167854150      750599915640323               -16361  1 433554425 A> 5 2 4 516363 2
== Executing PPA-CTR  4 (once), V(1)=33554424
167854170      750600150521326            -33570788  1 4 A> 533554429 2 516363 2
== Executing  PA-CTR  2, V(1)=0, V(2)=33554426, repcount=16777214, factor=4/2
335626310     3002399527998978               -16360  1 467108857 A> 5 2 516363 2
== Executing PPA-CTR  5 (once), V(1)=67108856, V(2)=16360
335626332     3002399997761007            -67125219  1 4 A> 567108861 2 4 516361 2
== Executing  PA-CTR  3, V(1)=0, V(2)=67108858, repcount=33554430, factor=4/2
671170632    12009598380086787               -16359  1 4134217721 A> 5 2 4 516361 2
== Executing PPA-CTR  4 (once), V(1)=134217720
671170652    12009599319610862           -134234082  1 4 A> 5134217725 2 516361 2

Lines:       300
Top steps:   299
Macro steps: 671170652
Basic steps: 12009599319610862
Tape index:  -134234082
nonzeros:    134234090
log10(nonzeros):    8.128
log10(steps   ):   16.080

The same TM just simple.
The same TM with repetitions reduced.
The same TM with tape symbol exponents.
The same TM as 1-macro machine.

To the BB simulations page of Heiner Marxen.
To the busy beaver page of Heiner Marxen.
To the home page of Heiner Marxen.
Input to awk program:
    gohalt 1
    nbs 6
    T 2-state 6-symbol #g (T.J. & S. Ligocki)
    : >1.9x10^4933 >2.4x10^9866
    C This is the currently best known 2x6 TM
    5T  1RB 2LA 1RH 5LB 5LA 4LB  1LA 4RB 3RB 5LB 1LB 4RA
    L 44
    M	300
    pref	sim
    machv Lig26_g  	just simple
    machv Lig26_g-r	with repetitions reduced
    machv Lig26_g-1	with tape symbol exponents
    machv Lig26_g-m	as 1-macro machine
    machv Lig26_g-a	as 1-macro machine with pure additive config-TRs
    iam	Lig26_g-a
    mtype	1
    mmtyp	3
    r	1
    H	1
    mac	0
    E	2
    sympr	
    HM	1
    date	Tue Jul  6 22:13:24 CEST 2010
    edate	Tue Jul  6 22:13:25 CEST 2010
    bnspeed	1
    short	7

Constructed by: $Id: tmJob.awk,v 1.34 2010/05/06 18:26:17 heiner Exp $ $Id: basics.awk,v 1.1 2010/05/06 17:24:17 heiner Exp $ $Id: htSupp.awk,v 1.14 2010/07/06 19:48:32 heiner Exp $ $Id: mmSim.awk,v 1.34 2005/01/09 22:23:28 heiner Exp $ $Id: bignum.awk,v 1.34 2010/05/06 17:58:14 heiner Exp $ $Id: varLI.awk,v 1.11 2005/01/15 21:01:29 heiner Exp $ bignum signature: LEN={S++:9 U++:9 S+:8 U+:8 S*:4 U*:4} DONT: y i o;
Start: Tue Jul 6 22:13:24 CEST 2010
Ready: Tue Jul 6 22:13:25 CEST 2010