3-state 3-symbol TM #c of G. Lafitte & C. Papazian

Comment: This TM produces 43'925 nonzeros in 1'808'669'066 steps.

State on
0
on
1
on
2
on 0 on 1 on 2
Print Move Goto Print Move Goto Print Move Goto
A B1R A2L A1R 1 right B 2 left A 1 right A
B B1L A1L C2R 1 left B 1 left A 2 right C
C Z1R C1L B2R 1 right Z 1 left C 2 right B
Transition table
The same TM just simple.
The same TM with repetitions reduced.
The same TM with tape symbol exponents.
The same TM as 2-macro machine.
Simulation is done as 2-macro machine with pure additive config-TRs.

Pushing initial machine.
Pushing macro factor 2.

Steps             BasSteps              BasTpos  Tape contents
    0                    0                    0  A>
    1                    3                   -1  <A 11
    2                    4                    0  01 B> 11
    3                    5                   -1  01 <A 11
    4                    8                    0  12 C> 11
    5                    9                   -1  12 <C 11
    6                   10                    0  12 B> 11
    7                   11                   -1  12 <A 11
    8                   12                    0  11 A> 11
    9                   13                   -1  11 <A 21
   10                   15                   -3  <A 22 21
   11                   16                   -2  01 B> 22 21
   12                   18                    0  01 22 B> 21
   13                   25                   -1  01 22 <A 22
   14                   26                    0  01 21 A> 22
   15                   28                    2  01 21 11 A>
   16                   31                    1  01 21 11 <A 11
   17                   33                   -1  01 21 <A 22 11
   18                   36                    0  01 11 A> 22 11
   19                   38                    2  01 112 A> 11
   20                   39                    1  01 112 <A 21
   21                   43                   -3  01 <A 222 21
   22                   46                   -2  12 C> 222 21
   23                   50                    2  12 222 C> 21
   24                   55                    1  12 222 <A 22
   25                   56                    2  12 22 21 A> 22
   26                   58                    4  12 22 21 11 A>
   27                   61                    3  12 22 21 11 <A 11
   28                   63                    1  12 22 21 <A 22 11
   29                   66                    2  12 22 11 A> 22 11
   30                   68                    4  12 22 112 A> 11
   31                   69                    3  12 22 112 <A 21
   32                   73                   -1  12 22 <A 222 21
   33                   74                    0  12 21 A> 222 21
   34                   78                    4  12 21 112 A> 21
   35                   81                    3  12 21 112 <A 22
   36                   85                   -1  12 21 <A 223
   37                   88                    0  12 11 A> 223
   38                   94                    6  12 114 A>
   39                   97                    5  12 114 <A 11
   40                  105                   -3  12 <A 224 11
   41                  106                   -2  11 A> 224 11
   42                  114                    6  115 A> 11
   43                  115                    5  115 <A 21
   44                  125                   -5  <A 225 21
   45                  126                   -4  01 B> 225 21
   46                  136                    6  01 225 B> 21
   47                  143                    5  01 225 <A 22
   48                  144                    6  01 224 21 A> 22
   49                  146                    8  01 224 21 11 A>
   50                  149                    7  01 224 21 11 <A 11
   51                  151                    5  01 224 21 <A 22 11
   52                  154                    6  01 224 11 A> 22 11
   53                  156                    8  01 224 112 A> 11
   54                  157                    7  01 224 112 <A 21
   55                  161                    3  01 224 <A 222 21
   56                  162                    4  01 223 21 A> 222 21
   57                  166                    8  01 223 21 112 A> 21
   58                  169                    7  01 223 21 112 <A 22
   59                  173                    3  01 223 21 <A 223
   60                  176                    4  01 223 11 A> 223
   61                  182                   10  01 223 114 A>
   62                  185                    9  01 223 114 <A 11
   63                  193                    1  01 223 <A 224 11
   64                  194                    2  01 222 21 A> 224 11
   65                  202                   10  01 222 21 114 A> 11
   66                  203                    9  01 222 21 114 <A 21
   67                  211                    1  01 222 21 <A 224 21
   68                  214                    2  01 222 11 A> 224 21
   69                  222                   10  01 222 115 A> 21
   70                  225                    9  01 222 115 <A 22
   71                  235                   -1  01 222 <A 226
>> Try to prove a PA-CTR with 2 Vars...
    0                    0                    0  [*]* 224+V(1) <A 221+V(2)
    1                    1                    1  [*]* 223+V(1) 21 A> 221+V(2)
    2             3+2*V(2)             3+2*V(2)  [*]* 223+V(1) 21 111+V(2) A>
    3             6+2*V(2)             2+2*V(2)  [*]* 223+V(1) 21 111+V(2) <A 11
    4             8+4*V(2)                    0  [*]* 223+V(1) 21 <A 221+V(2) 11
    5            11+4*V(2)                    1  [*]* 223+V(1) 11 A> 221+V(2) 11
    6            13+6*V(2)             3+2*V(2)  [*]* 223+V(1) 112+V(2) A> 11
    7            14+6*V(2)             2+2*V(2)  [*]* 223+V(1) 112+V(2) <A 21
    8            18+8*V(2)                   -2  [*]* 223+V(1) <A 222+V(2) 21
    9            19+8*V(2)                   -1  [*]* 222+V(1) 21 A> 222+V(2) 21
   10           23+10*V(2)             3+2*V(2)  [*]* 222+V(1) 21 112+V(2) A> 21
   11           26+10*V(2)             2+2*V(2)  [*]* 222+V(1) 21 112+V(2) <A 22
   12           30+12*V(2)                   -2  [*]* 222+V(1) 21 <A 223+V(2)
   13           33+12*V(2)                   -1  [*]* 222+V(1) 11 A> 223+V(2)
   14           39+14*V(2)             5+2*V(2)  [*]* 222+V(1) 114+V(2) A>
   15           42+14*V(2)             4+2*V(2)  [*]* 222+V(1) 114+V(2) <A 11
   16           50+16*V(2)                   -4  [*]* 222+V(1) <A 224+V(2) 11
   17           51+16*V(2)                   -3  [*]* 221+V(1) 21 A> 224+V(2) 11
   18           59+18*V(2)             5+2*V(2)  [*]* 221+V(1) 21 114+V(2) A> 11
   19           60+18*V(2)             4+2*V(2)  [*]* 221+V(1) 21 114+V(2) <A 21
   20           68+20*V(2)                   -4  [*]* 221+V(1) 21 <A 224+V(2) 21
   21           71+20*V(2)                   -3  [*]* 221+V(1) 11 A> 224+V(2) 21
   22           79+22*V(2)             5+2*V(2)  [*]* 221+V(1) 115+V(2) A> 21
   23           82+22*V(2)             4+2*V(2)  [*]* 221+V(1) 115+V(2) <A 22
   24           92+24*V(2)                   -6  [*]* 221+V(1) <A 226+V(2)
<< Success! ==> defined new CTR 1 (PA)
   72                  236                    0  01 22 21 A> 226
   73                  248                   12  01 22 21 116 A>
   74                  251                   11  01 22 21 116 <A 11
   75                  263                   -1  01 22 21 <A 226 11
   76                  266                    0  01 22 11 A> 226 11
   77                  278                   12  01 22 117 A> 11
   78                  279                   11  01 22 117 <A 21
   79                  293                   -3  01 22 <A 227 21
   80                  294                   -2  01 21 A> 227 21
   81                  308                   12  01 21 117 A> 21
   82                  311                   11  01 21 117 <A 22
   83                  325                   -3  01 21 <A 228
   84                  328                   -2  01 11 A> 228
   85                  344                   14  01 119 A>
   86                  347                   13  01 119 <A 11
   87                  365                   -5  01 <A 229 11
   88                  368                   -4  12 C> 229 11
   89                  386                   14  12 229 C> 11
   90                  387                   13  12 229 <C 11
   91                  388                   14  12 229 B> 11
   92                  389                   13  12 229 <A 11
   93                  390                   14  12 228 21 A> 11
   94                  391                   13  12 228 21 <A 21
   95                  394                   14  12 228 11 A> 21
   96                  397                   13  12 228 11 <A 22
   97                  399                   11  12 228 <A 222
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  01 222 <A 222+V(1)
    1                    1                    1  01 22 21 A> 222+V(1)
    2             5+2*V(1)             5+2*V(1)  01 22 21 112+V(1) A>
    3             8+2*V(1)             4+2*V(1)  01 22 21 112+V(1) <A 11
    4            12+4*V(1)                    0  01 22 21 <A 222+V(1) 11
    5            15+4*V(1)                    1  01 22 11 A> 222+V(1) 11
    6            19+6*V(1)             5+2*V(1)  01 22 113+V(1) A> 11
    7            20+6*V(1)             4+2*V(1)  01 22 113+V(1) <A 21
    8            26+8*V(1)                   -2  01 22 <A 223+V(1) 21
    9            27+8*V(1)                   -1  01 21 A> 223+V(1) 21
   10           33+10*V(1)             5+2*V(1)  01 21 113+V(1) A> 21
   11           36+10*V(1)             4+2*V(1)  01 21 113+V(1) <A 22
   12           42+12*V(1)                   -2  01 21 <A 224+V(1)
   13           45+12*V(1)                   -1  01 11 A> 224+V(1)
   14           53+14*V(1)             7+2*V(1)  01 115+V(1) A>
   15           56+14*V(1)             6+2*V(1)  01 115+V(1) <A 11
   16           66+16*V(1)                   -4  01 <A 225+V(1) 11
   17           69+16*V(1)                   -3  12 C> 225+V(1) 11
   18           79+18*V(1)             7+2*V(1)  12 225+V(1) C> 11
   19           80+18*V(1)             6+2*V(1)  12 225+V(1) <C 11
   20           81+18*V(1)             7+2*V(1)  12 225+V(1) B> 11
   21           82+18*V(1)             6+2*V(1)  12 225+V(1) <A 11
   22           83+18*V(1)             7+2*V(1)  12 224+V(1) 21 A> 11
   23           84+18*V(1)             6+2*V(1)  12 224+V(1) 21 <A 21
   24           87+18*V(1)             7+2*V(1)  12 224+V(1) 11 A> 21
   25           90+18*V(1)             6+2*V(1)  12 224+V(1) 11 <A 22
   26           92+18*V(1)             4+2*V(1)  12 224+V(1) <A 222
<< Success! ==> defined new CTR 2 (PPA)
   97                  399                   11  12 228 <A 222
== Executing  PA-CTR  1, V(1)=4, V(2)=1, repcount=2, factor=5/3
  145                  751                   -1  12 222 <A 2212
  146                  752                    0  12 22 21 A> 2212
  147                  776                   24  12 22 21 1112 A>
  148                  779                   23  12 22 21 1112 <A 11
  149                  803                   -1  12 22 21 <A 2212 11
  150                  806                    0  12 22 11 A> 2212 11
  151                  830                   24  12 22 1113 A> 11
  152                  831                   23  12 22 1113 <A 21
  153                  857                   -3  12 22 <A 2213 21
  154                  858                   -2  12 21 A> 2213 21
  155                  884                   24  12 21 1113 A> 21
  156                  887                   23  12 21 1113 <A 22
  157                  913                   -3  12 21 <A 2214
  158                  916                   -2  12 11 A> 2214
  159                  944                   26  12 1115 A>
  160                  947                   25  12 1115 <A 11
  161                  977                   -5  12 <A 2215 11
  162                  978                   -4  11 A> 2215 11
  163                 1008                   26  1116 A> 11
  164                 1009                   25  1116 <A 21
  165                 1041                   -7  <A 2216 21
  166                 1042                   -6  01 B> 2216 21
  167                 1074                   26  01 2216 B> 21
  168                 1081                   25  01 2216 <A 22
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  12 222 <A 221+V(1)
    1                    1                    1  12 22 21 A> 221+V(1)
    2             3+2*V(1)             3+2*V(1)  12 22 21 111+V(1) A>
    3             6+2*V(1)             2+2*V(1)  12 22 21 111+V(1) <A 11
    4             8+4*V(1)                    0  12 22 21 <A 221+V(1) 11
    5            11+4*V(1)                    1  12 22 11 A> 221+V(1) 11
    6            13+6*V(1)             3+2*V(1)  12 22 112+V(1) A> 11
    7            14+6*V(1)             2+2*V(1)  12 22 112+V(1) <A 21
    8            18+8*V(1)                   -2  12 22 <A 222+V(1) 21
    9            19+8*V(1)                   -1  12 21 A> 222+V(1) 21
   10           23+10*V(1)             3+2*V(1)  12 21 112+V(1) A> 21
   11           26+10*V(1)             2+2*V(1)  12 21 112+V(1) <A 22
   12           30+12*V(1)                   -2  12 21 <A 223+V(1)
   13           33+12*V(1)                   -1  12 11 A> 223+V(1)
   14           39+14*V(1)             5+2*V(1)  12 114+V(1) A>
   15           42+14*V(1)             4+2*V(1)  12 114+V(1) <A 11
   16           50+16*V(1)                   -4  12 <A 224+V(1) 11
   17           51+16*V(1)                   -3  11 A> 224+V(1) 11
   18           59+18*V(1)             5+2*V(1)  115+V(1) A> 11
   19           60+18*V(1)             4+2*V(1)  115+V(1) <A 21
   20           70+20*V(1)                   -6  <A 225+V(1) 21
   21           71+20*V(1)                   -5  01 B> 225+V(1) 21
   22           81+22*V(1)             5+2*V(1)  01 225+V(1) B> 21
   23           88+22*V(1)             4+2*V(1)  01 225+V(1) <A 22
<< Success! ==> defined new CTR 3 (PPA)
  168                 1081                   25  01 2216 <A 22
== Executing  PA-CTR  1, V(1)=12, V(2)=0, repcount=5, factor=5/3
  288                 2741                   -5  01 22 <A 2226
  289                 2742                   -4  01 21 A> 2226
  290                 2794                   48  01 21 1126 A>
  291                 2797                   47  01 21 1126 <A 11
  292                 2849                   -5  01 21 <A 2226 11
  293                 2852                   -4  01 11 A> 2226 11
  294                 2904                   48  01 1127 A> 11
  295                 2905                   47  01 1127 <A 21
  296                 2959                   -7  01 <A 2227 21
  297                 2962                   -6  12 C> 2227 21
  298                 3016                   48  12 2227 C> 21
  299                 3021                   47  12 2227 <A 22
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  01 22 <A 223+V(1)
    1                    1                    1  01 21 A> 223+V(1)
    2             7+2*V(1)             7+2*V(1)  01 21 113+V(1) A>
    3            10+2*V(1)             6+2*V(1)  01 21 113+V(1) <A 11
    4            16+4*V(1)                    0  01 21 <A 223+V(1) 11
    5            19+4*V(1)                    1  01 11 A> 223+V(1) 11
    6            25+6*V(1)             7+2*V(1)  01 114+V(1) A> 11
    7            26+6*V(1)             6+2*V(1)  01 114+V(1) <A 21
    8            34+8*V(1)                   -2  01 <A 224+V(1) 21
    9            37+8*V(1)                   -1  12 C> 224+V(1) 21
   10           45+10*V(1)             7+2*V(1)  12 224+V(1) C> 21
   11           50+10*V(1)             6+2*V(1)  12 224+V(1) <A 22
<< Success! ==> defined new CTR 4 (PPA)
  299                 3021                   47  12 2227 <A 22
== Executing  PA-CTR  1, V(1)=23, V(2)=0, repcount=8, factor=5/3
  491                 7117                   -1  12 223 <A 2241
  492                 7118                    0  12 222 21 A> 2241
  493                 7200                   82  12 222 21 1141 A>
  494                 7203                   81  12 222 21 1141 <A 11
  495                 7285                   -1  12 222 21 <A 2241 11
  496                 7288                    0  12 222 11 A> 2241 11
  497                 7370                   82  12 222 1142 A> 11
  498                 7371                   81  12 222 1142 <A 21
  499                 7455                   -3  12 222 <A 2242 21
  500                 7456                   -2  12 22 21 A> 2242 21
  501                 7540                   82  12 22 21 1142 A> 21
  502                 7543                   81  12 22 21 1142 <A 22
  503                 7627                   -3  12 22 21 <A 2243
  504                 7630                   -2  12 22 11 A> 2243
  505                 7716                   84  12 22 1144 A>
  506                 7719                   83  12 22 1144 <A 11
  507                 7807                   -5  12 22 <A 2244 11
  508                 7808                   -4  12 21 A> 2244 11
  509                 7896                   84  12 21 1144 A> 11
  510                 7897                   83  12 21 1144 <A 21
  511                 7985                   -5  12 21 <A 2244 21
  512                 7988                   -4  12 11 A> 2244 21
  513                 8076                   84  12 1145 A> 21
  514                 8079                   83  12 1145 <A 22
  515                 8169                   -7  12 <A 2246
  516                 8170                   -6  11 A> 2246
  517                 8262                   86  1147 A>
  518                 8265                   85  1147 <A 11
  519                 8359                   -9  <A 2247 11
  520                 8360                   -8  01 B> 2247 11
  521                 8454                   86  01 2247 B> 11
  522                 8455                   85  01 2247 <A 11
  523                 8456                   86  01 2246 21 A> 11
  524                 8457                   85  01 2246 21 <A 21
  525                 8460                   86  01 2246 11 A> 21
  526                 8463                   85  01 2246 11 <A 22
  527                 8465                   83  01 2246 <A 222
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  12 223 <A 221+V(1)
    1                    1                    1  12 222 21 A> 221+V(1)
    2             3+2*V(1)             3+2*V(1)  12 222 21 111+V(1) A>
    3             6+2*V(1)             2+2*V(1)  12 222 21 111+V(1) <A 11
    4             8+4*V(1)                    0  12 222 21 <A 221+V(1) 11
    5            11+4*V(1)                    1  12 222 11 A> 221+V(1) 11
    6            13+6*V(1)             3+2*V(1)  12 222 112+V(1) A> 11
    7            14+6*V(1)             2+2*V(1)  12 222 112+V(1) <A 21
    8            18+8*V(1)                   -2  12 222 <A 222+V(1) 21
    9            19+8*V(1)                   -1  12 22 21 A> 222+V(1) 21
   10           23+10*V(1)             3+2*V(1)  12 22 21 112+V(1) A> 21
   11           26+10*V(1)             2+2*V(1)  12 22 21 112+V(1) <A 22
   12           30+12*V(1)                   -2  12 22 21 <A 223+V(1)
   13           33+12*V(1)                   -1  12 22 11 A> 223+V(1)
   14           39+14*V(1)             5+2*V(1)  12 22 114+V(1) A>
   15           42+14*V(1)             4+2*V(1)  12 22 114+V(1) <A 11
   16           50+16*V(1)                   -4  12 22 <A 224+V(1) 11
   17           51+16*V(1)                   -3  12 21 A> 224+V(1) 11
   18           59+18*V(1)             5+2*V(1)  12 21 114+V(1) A> 11
   19           60+18*V(1)             4+2*V(1)  12 21 114+V(1) <A 21
   20           68+20*V(1)                   -4  12 21 <A 224+V(1) 21
   21           71+20*V(1)                   -3  12 11 A> 224+V(1) 21
   22           79+22*V(1)             5+2*V(1)  12 115+V(1) A> 21
   23           82+22*V(1)             4+2*V(1)  12 115+V(1) <A 22
   24           92+24*V(1)                   -6  12 <A 226+V(1)
   25           93+24*V(1)                   -5  11 A> 226+V(1)
   26          105+26*V(1)             7+2*V(1)  117+V(1) A>
   27          108+26*V(1)             6+2*V(1)  117+V(1) <A 11
   28          122+28*V(1)                   -8  <A 227+V(1) 11
   29          123+28*V(1)                   -7  01 B> 227+V(1) 11
   30          137+30*V(1)             7+2*V(1)  01 227+V(1) B> 11
   31          138+30*V(1)             6+2*V(1)  01 227+V(1) <A 11
   32          139+30*V(1)             7+2*V(1)  01 226+V(1) 21 A> 11
   33          140+30*V(1)             6+2*V(1)  01 226+V(1) 21 <A 21
   34          143+30*V(1)             7+2*V(1)  01 226+V(1) 11 A> 21
   35          146+30*V(1)             6+2*V(1)  01 226+V(1) 11 <A 22
   36          148+30*V(1)             4+2*V(1)  01 226+V(1) <A 222
<< Success! ==> defined new CTR 5 (PPA)
  527                 8465                   83  01 2246 <A 222
== Executing  PA-CTR  1, V(1)=42, V(2)=1, repcount=15, factor=5/3
  887                22805                   -7  01 22 <A 2277
== Executing PPA-CTR  4 (once), V(1)=74
  898                23595                  147  12 2278 <A 22
== Executing  PA-CTR  1, V(1)=74, V(2)=0, repcount=25, factor=5/3
 1498                61895                   -3  12 223 <A 22126
== Executing PPA-CTR  5 (once), V(1)=125
 1534                65793                  251  01 22131 <A 222
== Executing  PA-CTR  1, V(1)=127, V(2)=1, repcount=43, factor=5/3
 2566               179141                   -7  01 222 <A 22217
== Executing PPA-CTR  2 (once), V(1)=215
 2592               183103                  427  12 22219 <A 222
== Executing  PA-CTR  1, V(1)=215, V(2)=1, repcount=72, factor=5/3
 4320               498175                   -5  12 223 <A 22362
== Executing PPA-CTR  5 (once), V(1)=361
 4356               509153                  721  01 22367 <A 222
== Executing  PA-CTR  1, V(1)=363, V(2)=1, repcount=122, factor=5/3
 7284              1409025                  -11  01 22 <A 22612
== Executing PPA-CTR  4 (once), V(1)=609
 7295              1415165                 1213  12 22613 <A 22
== Executing  PA-CTR  1, V(1)=609, V(2)=0, repcount=204, factor=5/3
12191              3918653                  -11  12 22 <A 221021
12192              3918654                  -10  12 21 A> 221021
12193              3920696                 2032  12 21 111021 A>
12194              3920699                 2031  12 21 111021 <A 11
12195              3922741                  -11  12 21 <A 221021 11
12196              3922744                  -10  12 11 A> 221021 11
12197              3924786                 2032  12 111022 A> 11
12198              3924787                 2031  12 111022 <A 21
12199              3926831                  -13  12 <A 221022 21
12200              3926832                  -12  11 A> 221022 21
12201              3928876                 2032  111023 A> 21
12202              3928879                 2031  111023 <A 22
12203              3930925                  -15  <A 221024
12204              3930926                  -14  01 B> 221024
12205              3932974                 2034  01 221024 B>
12206              3932975                 2033  01 221024 <B 10
12207              3932976                 2034  01 221024 C> 10
12208              3932977                 2033  01 221024 <C 10
12209              3932978                 2034  01 221024 B> 10
12210              3932979                 2033  01 221024 <A 10
12211              3932980                 2034  01 221023 21 A> 10
12212              3932981                 2033  01 221023 21 <A 20
12213              3932984                 2034  01 221023 11 A> 20
12214              3932986                 2036  01 221023 112 B>
12215              3932987                 2035  01 221023 112 <B 10
12216              3932989                 2033  01 221023 11 <A 21 10
12217              3932991                 2031  01 221023 <A 22 21 10
12218              3932992                 2032  01 221022 21 A> 22 21 10
12219              3932994                 2034  01 221022 21 11 A> 21 10
12220              3932997                 2033  01 221022 21 11 <A 22 10
12221              3932999                 2031  01 221022 21 <A 222 10
12222              3933002                 2032  01 221022 11 A> 222 10
12223              3933006                 2036  01 221022 113 A> 10
12224              3933007                 2035  01 221022 113 <A 20
12225              3933013                 2029  01 221022 <A 223 20
12226              3933014                 2030  01 221021 21 A> 223 20
12227              3933020                 2036  01 221021 21 113 A> 20
12228              3933022                 2038  01 221021 21 114 B>
12229              3933023                 2037  01 221021 21 114 <B 10
12230              3933025                 2035  01 221021 21 113 <A 21 10
12231              3933031                 2029  01 221021 21 <A 223 21 10
12232              3933034                 2030  01 221021 11 A> 223 21 10
12233              3933040                 2036  01 221021 114 A> 21 10
12234              3933043                 2035  01 221021 114 <A 22 10
12235              3933051                 2027  01 221021 <A 225 10
12236              3933052                 2028  01 221020 21 A> 225 10
12237              3933062                 2038  01 221020 21 115 A> 10
12238              3933063                 2037  01 221020 21 115 <A 20
12239              3933073                 2027  01 221020 21 <A 225 20
12240              3933076                 2028  01 221020 11 A> 225 20
12241              3933086                 2038  01 221020 116 A> 20
>> Try to prove a PA-CTR with 2 Vars...
    0                    0                    0  [*]* 224+V(2) 111+V(1) A> 20
    1                    2                    2  [*]* 224+V(2) 112+V(1) B>
    2                    3                    1  [*]* 224+V(2) 112+V(1) <B 10
    3                    5                   -1  [*]* 224+V(2) 111+V(1) <A 21 10
    4             7+2*V(1)           -3+-2*V(1)  [*]* 224+V(2) <A 221+V(1) 21 10
    5             8+2*V(1)           -2+-2*V(1)  [*]* 223+V(2) 21 A> 221+V(1) 21 10
    6            10+4*V(1)                    0  [*]* 223+V(2) 21 111+V(1) A> 21 10
    7            13+4*V(1)                   -1  [*]* 223+V(2) 21 111+V(1) <A 22 10
    8            15+6*V(1)           -3+-2*V(1)  [*]* 223+V(2) 21 <A 222+V(1) 10
    9            18+6*V(1)           -2+-2*V(1)  [*]* 223+V(2) 11 A> 222+V(1) 10
   10            22+8*V(1)                    2  [*]* 223+V(2) 113+V(1) A> 10
   11            23+8*V(1)                    1  [*]* 223+V(2) 113+V(1) <A 20
   12           29+10*V(1)           -5+-2*V(1)  [*]* 223+V(2) <A 223+V(1) 20
   13           30+10*V(1)           -4+-2*V(1)  [*]* 222+V(2) 21 A> 223+V(1) 20
   14           36+12*V(1)                    2  [*]* 222+V(2) 21 113+V(1) A> 20
   15           38+12*V(1)                    4  [*]* 222+V(2) 21 114+V(1) B>
   16           39+12*V(1)                    3  [*]* 222+V(2) 21 114+V(1) <B 10
   17           41+12*V(1)                    1  [*]* 222+V(2) 21 113+V(1) <A 21 10
   18           47+14*V(1)           -5+-2*V(1)  [*]* 222+V(2) 21 <A 223+V(1) 21 10
   19           50+14*V(1)           -4+-2*V(1)  [*]* 222+V(2) 11 A> 223+V(1) 21 10
   20           56+16*V(1)                    2  [*]* 222+V(2) 114+V(1) A> 21 10
   21           59+16*V(1)                    1  [*]* 222+V(2) 114+V(1) <A 22 10
   22           67+18*V(1)           -7+-2*V(1)  [*]* 222+V(2) <A 225+V(1) 10
   23           68+18*V(1)           -6+-2*V(1)  [*]* 221+V(2) 21 A> 225+V(1) 10
   24           78+20*V(1)                    4  [*]* 221+V(2) 21 115+V(1) A> 10
   25           79+20*V(1)                    3  [*]* 221+V(2) 21 115+V(1) <A 20
   26           89+22*V(1)           -7+-2*V(1)  [*]* 221+V(2) 21 <A 225+V(1) 20
   27           92+22*V(1)           -6+-2*V(1)  [*]* 221+V(2) 11 A> 225+V(1) 20
   28          102+24*V(1)                    4  [*]* 221+V(2) 116+V(1) A> 20
<< Success! ==> defined new CTR 6 (PA)
12241              3933086                 2038  01 221020 116 A> 20
== Executing  PA-CTR  6, V(1)=5, V(2)=1016, repcount=339, factor=5/3
21733             10883264                 3394  01 223 111701 A> 20
21734             10883266                 3396  01 223 111702 B>
21735             10883267                 3395  01 223 111702 <B 10
21736             10883269                 3393  01 223 111701 <A 21 10
21737             10886671                   -9  01 223 <A 221701 21 10
21738             10886672                   -8  01 222 21 A> 221701 21 10
21739             10890074                 3394  01 222 21 111701 A> 21 10
21740             10890077                 3393  01 222 21 111701 <A 22 10
21741             10893479                   -9  01 222 21 <A 221702 10
21742             10893482                   -8  01 222 11 A> 221702 10
21743             10896886                 3396  01 222 111703 A> 10
21744             10896887                 3395  01 222 111703 <A 20
21745             10900293                  -11  01 222 <A 221703 20
21746             10900294                  -10  01 22 21 A> 221703 20
21747             10903700                 3396  01 22 21 111703 A> 20
21748             10903702                 3398  01 22 21 111704 B>
21749             10903703                 3397  01 22 21 111704 <B 10
21750             10903705                 3395  01 22 21 111703 <A 21 10
21751             10907111                  -11  01 22 21 <A 221703 21 10
21752             10907114                  -10  01 22 11 A> 221703 21 10
21753             10910520                 3396  01 22 111704 A> 21 10
21754             10910523                 3395  01 22 111704 <A 22 10
21755             10913931                  -13  01 22 <A 221705 10
21756             10913932                  -12  01 21 A> 221705 10
21757             10917342                 3398  01 21 111705 A> 10
21758             10917343                 3397  01 21 111705 <A 20
21759             10920753                  -13  01 21 <A 221705 20
21760             10920756                  -12  01 11 A> 221705 20
21761             10924166                 3398  01 111706 A> 20
21762             10924168                 3400  01 111707 B>
21763             10924169                 3399  01 111707 <B 10
21764             10924171                 3397  01 111706 <A 21 10
21765             10927583                  -15  01 <A 221706 21 10
21766             10927586                  -14  12 C> 221706 21 10
21767             10930998                 3398  12 221706 C> 21 10
21768             10931003                 3397  12 221706 <A 22 10
21769             10931004                 3398  12 221705 21 A> 22 10
21770             10931006                 3400  12 221705 21 11 A> 10
21771             10931007                 3399  12 221705 21 11 <A 20
21772             10931009                 3397  12 221705 21 <A 22 20
21773             10931012                 3398  12 221705 11 A> 22 20
21774             10931014                 3400  12 221705 112 A> 20
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  01 223 111+V(1) A> 20
    1                    2                    2  01 223 112+V(1) B>
    2                    3                    1  01 223 112+V(1) <B 10
    3                    5                   -1  01 223 111+V(1) <A 21 10
    4             7+2*V(1)           -3+-2*V(1)  01 223 <A 221+V(1) 21 10
    5             8+2*V(1)           -2+-2*V(1)  01 222 21 A> 221+V(1) 21 10
    6            10+4*V(1)                    0  01 222 21 111+V(1) A> 21 10
    7            13+4*V(1)                   -1  01 222 21 111+V(1) <A 22 10
    8            15+6*V(1)           -3+-2*V(1)  01 222 21 <A 222+V(1) 10
    9            18+6*V(1)           -2+-2*V(1)  01 222 11 A> 222+V(1) 10
   10            22+8*V(1)                    2  01 222 113+V(1) A> 10
   11            23+8*V(1)                    1  01 222 113+V(1) <A 20
   12           29+10*V(1)           -5+-2*V(1)  01 222 <A 223+V(1) 20
   13           30+10*V(1)           -4+-2*V(1)  01 22 21 A> 223+V(1) 20
   14           36+12*V(1)                    2  01 22 21 113+V(1) A> 20
   15           38+12*V(1)                    4  01 22 21 114+V(1) B>
   16           39+12*V(1)                    3  01 22 21 114+V(1) <B 10
   17           41+12*V(1)                    1  01 22 21 113+V(1) <A 21 10
   18           47+14*V(1)           -5+-2*V(1)  01 22 21 <A 223+V(1) 21 10
   19           50+14*V(1)           -4+-2*V(1)  01 22 11 A> 223+V(1) 21 10
   20           56+16*V(1)                    2  01 22 114+V(1) A> 21 10
   21           59+16*V(1)                    1  01 22 114+V(1) <A 22 10
   22           67+18*V(1)           -7+-2*V(1)  01 22 <A 225+V(1) 10
   23           68+18*V(1)           -6+-2*V(1)  01 21 A> 225+V(1) 10
   24           78+20*V(1)                    4  01 21 115+V(1) A> 10
   25           79+20*V(1)                    3  01 21 115+V(1) <A 20
   26           89+22*V(1)           -7+-2*V(1)  01 21 <A 225+V(1) 20
   27           92+22*V(1)           -6+-2*V(1)  01 11 A> 225+V(1) 20
   28          102+24*V(1)                    4  01 116+V(1) A> 20
   29          104+24*V(1)                    6  01 117+V(1) B>
   30          105+24*V(1)                    5  01 117+V(1) <B 10
   31          107+24*V(1)                    3  01 116+V(1) <A 21 10
   32          119+26*V(1)           -9+-2*V(1)  01 <A 226+V(1) 21 10
   33          122+26*V(1)           -8+-2*V(1)  12 C> 226+V(1) 21 10
   34          134+28*V(1)                    4  12 226+V(1) C> 21 10
   35          139+28*V(1)                    3  12 226+V(1) <A 22 10
   36          140+28*V(1)                    4  12 225+V(1) 21 A> 22 10
   37          142+28*V(1)                    6  12 225+V(1) 21 11 A> 10
   38          143+28*V(1)                    5  12 225+V(1) 21 11 <A 20
   39          145+28*V(1)                    3  12 225+V(1) 21 <A 22 20
   40          148+28*V(1)                    4  12 225+V(1) 11 A> 22 20
   41          150+28*V(1)                    6  12 225+V(1) 112 A> 20
<< Success! ==> defined new CTR 7 (PPA)
21774             10931014                 3400  12 221705 112 A> 20
== Executing  PA-CTR  6, V(1)=1, V(2)=1701, repcount=568, factor=5/3
37678             30325942                 5672  12 22 112842 A> 20
37679             30325944                 5674  12 22 112843 B>
37680             30325945                 5673  12 22 112843 <B 10
37681             30325947                 5671  12 22 112842 <A 21 10
37682             30331631                  -13  12 22 <A 222842 21 10
37683             30331632                  -12  12 21 A> 222842 21 10
37684             30337316                 5672  12 21 112842 A> 21 10
37685             30337319                 5671  12 21 112842 <A 22 10
37686             30343003                  -13  12 21 <A 222843 10
37687             30343006                  -12  12 11 A> 222843 10
37688             30348692                 5674  12 112844 A> 10
37689             30348693                 5673  12 112844 <A 20
37690             30354381                  -15  12 <A 222844 20
37691             30354382                  -14  11 A> 222844 20
37692             30360070                 5674  112845 A> 20
37693             30360072                 5676  112846 B>
37694             30360073                 5675  112846 <B 10
37695             30360075                 5673  112845 <A 21 10
37696             30365765                  -17  <A 222845 21 10
37697             30365766                  -16  01 B> 222845 21 10
37698             30371456                 5674  01 222845 B> 21 10
37699             30371463                 5673  01 222845 <A 22 10
37700             30371464                 5674  01 222844 21 A> 22 10
37701             30371466                 5676  01 222844 21 11 A> 10
37702             30371467                 5675  01 222844 21 11 <A 20
37703             30371469                 5673  01 222844 21 <A 22 20
37704             30371472                 5674  01 222844 11 A> 22 20
37705             30371474                 5676  01 222844 112 A> 20
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  12 22 112+V(1) A> 20
    1                    2                    2  12 22 113+V(1) B>
    2                    3                    1  12 22 113+V(1) <B 10
    3                    5                   -1  12 22 112+V(1) <A 21 10
    4             9+2*V(1)           -5+-2*V(1)  12 22 <A 222+V(1) 21 10
    5            10+2*V(1)           -4+-2*V(1)  12 21 A> 222+V(1) 21 10
    6            14+4*V(1)                    0  12 21 112+V(1) A> 21 10
    7            17+4*V(1)                   -1  12 21 112+V(1) <A 22 10
    8            21+6*V(1)           -5+-2*V(1)  12 21 <A 223+V(1) 10
    9            24+6*V(1)           -4+-2*V(1)  12 11 A> 223+V(1) 10
   10            30+8*V(1)                    2  12 114+V(1) A> 10
   11            31+8*V(1)                    1  12 114+V(1) <A 20
   12           39+10*V(1)           -7+-2*V(1)  12 <A 224+V(1) 20
   13           40+10*V(1)           -6+-2*V(1)  11 A> 224+V(1) 20
   14           48+12*V(1)                    2  115+V(1) A> 20
   15           50+12*V(1)                    4  116+V(1) B>
   16           51+12*V(1)                    3  116+V(1) <B 10
   17           53+12*V(1)                    1  115+V(1) <A 21 10
   18           63+14*V(1)           -9+-2*V(1)  <A 225+V(1) 21 10
   19           64+14*V(1)           -8+-2*V(1)  01 B> 225+V(1) 21 10
   20           74+16*V(1)                    2  01 225+V(1) B> 21 10
   21           81+16*V(1)                    1  01 225+V(1) <A 22 10
   22           82+16*V(1)                    2  01 224+V(1) 21 A> 22 10
   23           84+16*V(1)                    4  01 224+V(1) 21 11 A> 10
   24           85+16*V(1)                    3  01 224+V(1) 21 11 <A 20
   25           87+16*V(1)                    1  01 224+V(1) 21 <A 22 20
   26           90+16*V(1)                    2  01 224+V(1) 11 A> 22 20
   27           92+16*V(1)                    4  01 224+V(1) 112 A> 20
<< Success! ==> defined new CTR 8 (PPA)
37705             30371474                 5676  01 222844 112 A> 20
== Executing  PA-CTR  6, V(1)=1, V(2)=2840, repcount=947, factor=5/3
64221             84242516                 9464  01 223 114737 A> 20
== Executing PPA-CTR  7 (once), V(1)=4736
64262             84375274                 9470  12 224741 112 A> 20
== Executing  PA-CTR  6, V(1)=1, V(2)=4737, repcount=1580, factor=5/3
108502            234263554                15790  12 22 117902 A> 20
== Executing PPA-CTR  8 (once), V(1)=7900
108529            234390046                15794  01 227904 112 A> 20
== Executing  PA-CTR  6, V(1)=1, V(2)=7900, repcount=2634, factor=5/3
182281            650841250                26330  01 222 1113172 A> 20
182282            650841252                26332  01 222 1113173 B>
182283            650841253                26331  01 222 1113173 <B 10
182284            650841255                26329  01 222 1113172 <A 21 10
182285            650867599                  -15  01 222 <A 2213172 21 10
182286            650867600                  -14  01 22 21 A> 2213172 21 10
182287            650893944                26330  01 22 21 1113172 A> 21 10
182288            650893947                26329  01 22 21 1113172 <A 22 10
182289            650920291                  -15  01 22 21 <A 2213173 10
182290            650920294                  -14  01 22 11 A> 2213173 10
182291            650946640                26332  01 22 1113174 A> 10
182292            650946641                26331  01 22 1113174 <A 20
182293            650972989                  -17  01 22 <A 2213174 20
182294            650972990                  -16  01 21 A> 2213174 20
182295            650999338                26332  01 21 1113174 A> 20
182296            650999340                26334  01 21 1113175 B>
182297            650999341                26333  01 21 1113175 <B 10
182298            650999343                26331  01 21 1113174 <A 21 10
182299            651025691                  -17  01 21 <A 2213174 21 10
182300            651025694                  -16  01 11 A> 2213174 21 10
182301            651052042                26332  01 1113175 A> 21 10
182302            651052045                26331  01 1113175 <A 22 10
182303            651078395                  -19  01 <A 2213176 10
182304            651078398                  -18  12 C> 2213176 10
182305            651104750                26334  12 2213176 C> 10
182306            651104751                26333  12 2213176 <C 10
182307            651104752                26334  12 2213176 B> 10
182308            651104753                26333  12 2213176 <A 10
182309            651104754                26334  12 2213175 21 A> 10
182310            651104755                26333  12 2213175 21 <A 20
182311            651104758                26334  12 2213175 11 A> 20
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  01 222 111+V(1) A> 20
    1                    2                    2  01 222 112+V(1) B>
    2                    3                    1  01 222 112+V(1) <B 10
    3                    5                   -1  01 222 111+V(1) <A 21 10
    4             7+2*V(1)           -3+-2*V(1)  01 222 <A 221+V(1) 21 10
    5             8+2*V(1)           -2+-2*V(1)  01 22 21 A> 221+V(1) 21 10
    6            10+4*V(1)                    0  01 22 21 111+V(1) A> 21 10
    7            13+4*V(1)                   -1  01 22 21 111+V(1) <A 22 10
    8            15+6*V(1)           -3+-2*V(1)  01 22 21 <A 222+V(1) 10
    9            18+6*V(1)           -2+-2*V(1)  01 22 11 A> 222+V(1) 10
   10            22+8*V(1)                    2  01 22 113+V(1) A> 10
   11            23+8*V(1)                    1  01 22 113+V(1) <A 20
   12           29+10*V(1)           -5+-2*V(1)  01 22 <A 223+V(1) 20
   13           30+10*V(1)           -4+-2*V(1)  01 21 A> 223+V(1) 20
   14           36+12*V(1)                    2  01 21 113+V(1) A> 20
   15           38+12*V(1)                    4  01 21 114+V(1) B>
   16           39+12*V(1)                    3  01 21 114+V(1) <B 10
   17           41+12*V(1)                    1  01 21 113+V(1) <A 21 10
   18           47+14*V(1)           -5+-2*V(1)  01 21 <A 223+V(1) 21 10
   19           50+14*V(1)           -4+-2*V(1)  01 11 A> 223+V(1) 21 10
   20           56+16*V(1)                    2  01 114+V(1) A> 21 10
   21           59+16*V(1)                    1  01 114+V(1) <A 22 10
   22           67+18*V(1)           -7+-2*V(1)  01 <A 225+V(1) 10
   23           70+18*V(1)           -6+-2*V(1)  12 C> 225+V(1) 10
   24           80+20*V(1)                    4  12 225+V(1) C> 10
   25           81+20*V(1)                    3  12 225+V(1) <C 10
   26           82+20*V(1)                    4  12 225+V(1) B> 10
   27           83+20*V(1)                    3  12 225+V(1) <A 10
   28           84+20*V(1)                    4  12 224+V(1) 21 A> 10
   29           85+20*V(1)                    3  12 224+V(1) 21 <A 20
   30           88+20*V(1)                    4  12 224+V(1) 11 A> 20
<< Success! ==> defined new CTR 9 (PPA)
182311            651104758                26334  12 2213175 11 A> 20
== Executing  PA-CTR  6, V(1)=0, V(2)=13171, repcount=4391, factor=5/3
305259           1808142040                43898  12 222 1121956 A> 20
305260           1808142042                43900  12 222 1121957 B>
305261           1808142043                43899  12 222 1121957 <B 10
305262           1808142045                43897  12 222 1121956 <A 21 10
305263           1808185957                  -15  12 222 <A 2221956 21 10
305264           1808185958                  -14  12 22 21 A> 2221956 21 10
305265           1808229870                43898  12 22 21 1121956 A> 21 10
305266           1808229873                43897  12 22 21 1121956 <A 22 10
305267           1808273785                  -15  12 22 21 <A 2221957 10
305268           1808273788                  -14  12 22 11 A> 2221957 10
305269           1808317702                43900  12 22 1121958 A> 10
305270           1808317703                43899  12 22 1121958 <A 20
305271           1808361619                  -17  12 22 <A 2221958 20
305272           1808361620                  -16  12 21 A> 2221958 20
305273           1808405536                43900  12 21 1121958 A> 20
305274           1808405538                43902  12 21 1121959 B>
305275           1808405539                43901  12 21 1121959 <B 10
305276           1808405541                43899  12 21 1121958 <A 21 10
305277           1808449457                  -17  12 21 <A 2221958 21 10
305278           1808449460                  -16  12 11 A> 2221958 21 10
305279           1808493376                43900  12 1121959 A> 21 10
305280           1808493379                43899  12 1121959 <A 22 10
305281           1808537297                  -19  12 <A 2221960 10
305282           1808537298                  -18  11 A> 2221960 10
305283           1808581218                43902  1121961 A> 10
305284           1808581219                43901  1121961 <A 20
305285           1808625141                  -21  <A 2221961 20
305286           1808625142                  -20  01 B> 2221961 20
305287           1808669064                43902  01 2221961 B> 20
305288           1808669066                43904  01 2221961 21 Z>
305288           1808669066                43904  01 2221961 21 Z>   [stop]

Lines:       368
Top steps:   366
Macro steps: 305288
Basic steps: 1808669066
Tape index:  43904
nonzeros:    43925
log10(nonzeros):    4.643
log10(steps   ):    9.257
Run state:   stop

The same TM just simple.
The same TM with repetitions reduced.
The same TM with tape symbol exponents.
The same TM as 2-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 3
    T 3-state 3-symbol TM #c of G. Lafitte & C. Papazian
    5T  B1R A2L A1R  B1L A1L C2R  Z1R C1L B2R
    : 43'925 1'808'669'066
    L 10
    M	400
    pref	sim
    machv Laf33_c  	just simple
    machv Laf33_c-r	with repetitions reduced
    machv Laf33_c-1	with tape symbol exponents
    machv Laf33_c-m	as 2-macro machine
    machv Laf33_c-a	as 2-macro machine with pure additive config-TRs
    iam	Laf33_c-a
    mtype	2
    mmtyp	3
    r	1
    H	1
    mac	0
    E	2
    sympr	
    HM	1
    date	Tue Jul  6 22:11:48 CEST 2010
    edate	Tue Jul  6 22:11:49 CEST 2010
    bnspeed	1

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 22:11:48 CEST 2010
Ready: Tue Jul 6 22:11:49 CEST 2010