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

Comment: This TM produces 2,950,149 nonzeros in 4,144,465,135,614 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 Z2L C2L 1 right B 2 left Z 2 left C
B C1L B2R B1L 1 left C 2 right B 1 left B
C A1L C2R A2L 1 left A 2 right C 2 left 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 2-bck-macro machine.
Simulation is done as 2-bck-macro machine with pure additive config-TRs.

Pushing initial machine.
Pushing macro factor 2.
Pushing BCK machine.

Steps             BasSteps              BasTpos  Tape contents
    0                    0                    0  (00)A>
    1                    4                    2  (22)C>
    2                    7                   -1  <A(22) 10
    3                   15                   -3  <C(11) 11 10
    4                   20                    0  12 (22)B> 11 10
    5                   22                    2  12 22 (22)B> 10
    6                   27                   -1  12 22 <A(22) 21
    7                   29                   -3  12 <A(22) 22 21
    8                   33                   -5  <C(22) 222 21
    9                   45                   -7  <B(11) 11 222 21
   10                   47                   -9  <A(11) 112 222 21
   11                   50                   -6  01 (22)B> 112 222 21
   12                   54                   -2  01 222 (22)B> 222 21
   13                   57                   -5  01 222 <B(11) 12 22 21
   14                   61                   -9  01 <B(11) 112 12 22 21
   15                   64                   -6  02 (22)B> 112 12 22 21
   16                   68                   -2  02 222 (22)B> 12 22 21
   17                   73                   -5  02 222 <B(11) 11 22 21
   18                   77                   -9  02 <B(11) 113 22 21
   19                   79                  -11  <C(11) 114 22 21
   20                   84                   -8  12 (22)B> 114 22 21
   21                   92                    0  12 224 (22)B> 22 21
   22                   95                   -3  12 224 <B(11) 12 21
   23                  103                  -11  12 <B(11) 114 12 21
   24                  108                   -8  22 (22)B> 114 12 21
   25                  116                    0  225 (22)B> 12 21
   26                  121                   -3  225 <B(11) 11 21
   27                  131                  -13  <B(11) 116 21
   28                  133                  -15  <A(11) 117 21
   29                  136                  -12  01 (22)B> 117 21
   30                  150                    2  01 227 (22)B> 21
   31                  153                   -1  01 227 <B(11) 11
   32                  167                  -15  01 <B(11) 118
   33                  170                  -12  02 (22)B> 118
   34                  186                    4  02 228 (22)B>
   35                  189                    1  02 228 <C(22) 10
   36                  205                  -15  02 <C(22) 228 10
   37                  213                  -17  <B(11) 12 228 10
   38                  215                  -19  <A(11) 11 12 228 10
   39                  218                  -16  01 (22)B> 11 12 228 10
   40                  220                  -14  01 22 (22)B> 12 228 10
   41                  225                  -17  01 22 <B(11) 11 228 10
   42                  227                  -19  01 <B(11) 112 228 10
   43                  230                  -16  02 (22)B> 112 228 10
   44                  234                  -12  02 222 (22)B> 228 10
   45                  237                  -15  02 222 <B(11) 12 227 10
   46                  241                  -19  02 <B(11) 112 12 227 10
   47                  243                  -21  <C(11) 113 12 227 10
   48                  248                  -18  12 (22)B> 113 12 227 10
   49                  254                  -12  12 223 (22)B> 12 227 10
   50                  259                  -15  12 223 <B(11) 11 227 10
   51                  265                  -21  12 <B(11) 114 227 10
   52                  270                  -18  22 (22)B> 114 227 10
   53                  278                  -10  225 (22)B> 227 10
   54                  281                  -13  225 <B(11) 12 226 10
   55                  291                  -23  <B(11) 115 12 226 10
   56                  293                  -25  <A(11) 116 12 226 10
>> Try to prove a PA-CTR with 2 Vars...
    0                    0                    0  <A(11) 111+V(2) 12 223+V(1) [*]*
    1                    3                    3  01 (22)B> 111+V(2) 12 223+V(1) [*]*
    2             5+2*V(2)             5+2*V(2)  01 221+V(2) (22)B> 12 223+V(1) [*]*
    3            10+2*V(2)             2+2*V(2)  01 221+V(2) <B(11) 11 223+V(1) [*]*
    4            12+4*V(2)                    0  01 <B(11) 112+V(2) 223+V(1) [*]*
    5            15+4*V(2)                    3  02 (22)B> 112+V(2) 223+V(1) [*]*
    6            19+6*V(2)             7+2*V(2)  02 222+V(2) (22)B> 223+V(1) [*]*
    7            22+6*V(2)             4+2*V(2)  02 222+V(2) <B(11) 12 222+V(1) [*]*
    8            26+8*V(2)                    0  02 <B(11) 112+V(2) 12 222+V(1) [*]*
    9            28+8*V(2)                   -2  <C(11) 113+V(2) 12 222+V(1) [*]*
   10            33+8*V(2)                    1  12 (22)B> 113+V(2) 12 222+V(1) [*]*
   11           39+10*V(2)             7+2*V(2)  12 223+V(2) (22)B> 12 222+V(1) [*]*
   12           44+10*V(2)             4+2*V(2)  12 223+V(2) <B(11) 11 222+V(1) [*]*
   13           50+12*V(2)                   -2  12 <B(11) 114+V(2) 222+V(1) [*]*
   14           55+12*V(2)                    1  22 (22)B> 114+V(2) 222+V(1) [*]*
   15           63+14*V(2)             9+2*V(2)  225+V(2) (22)B> 222+V(1) [*]*
   16           66+14*V(2)             6+2*V(2)  225+V(2) <B(11) 12 221+V(1) [*]*
   17           76+16*V(2)                   -4  <B(11) 115+V(2) 12 221+V(1) [*]*
   18           78+16*V(2)                   -6  <A(11) 116+V(2) 12 221+V(1) [*]*
<< Success! ==> defined new CTR 1 (PA)
   56                  293                  -25  <A(11) 116 12 226 10
== Executing  PA-CTR  1, V(1)=3, V(2)=5, repcount=2, factor=5/2
   92                  689                  -37  <A(11) 1116 12 222 10
   93                  692                  -34  01 (22)B> 1116 12 222 10
   94                  724                   -2  01 2216 (22)B> 12 222 10
   95                  729                   -5  01 2216 <B(11) 11 222 10
   96                  761                  -37  01 <B(11) 1117 222 10
   97                  764                  -34  02 (22)B> 1117 222 10
   98                  798                    0  02 2217 (22)B> 222 10
   99                  801                   -3  02 2217 <B(11) 12 22 10
  100                  835                  -37  02 <B(11) 1117 12 22 10
  101                  837                  -39  <C(11) 1118 12 22 10
  102                  842                  -36  12 (22)B> 1118 12 22 10
  103                  878                    0  12 2218 (22)B> 12 22 10
  104                  883                   -3  12 2218 <B(11) 11 22 10
  105                  919                  -39  12 <B(11) 1119 22 10
  106                  924                  -36  22 (22)B> 1119 22 10
  107                  962                    2  2220 (22)B> 22 10
  108                  965                   -1  2220 <B(11) 12 10
  109                 1005                  -41  <B(11) 1120 12 10
  110                 1007                  -43  <A(11) 1121 12 10
  111                 1010                  -40  01 (22)B> 1121 12 10
  112                 1052                    2  01 2221 (22)B> 12 10
  113                 1057                   -1  01 2221 <B(11) 11 10
  114                 1099                  -43  01 <B(11) 1122 10
  115                 1102                  -40  02 (22)B> 1122 10
  116                 1146                    4  02 2222 (22)B> 10
  117                 1151                    1  02 2222 <A(22) 21
  118                 1195                  -43  02 <A(22) 2222 21
  119                 1197                  -45  <A(12) 2223 21
  120                 1204                  -42  02 (22)B> 2223 21
  121                 1207                  -45  02 <B(11) 12 2222 21
  122                 1209                  -47  <C(11) 11 12 2222 21
  123                 1214                  -44  12 (22)B> 11 12 2222 21
  124                 1216                  -42  12 22 (22)B> 12 2222 21
  125                 1221                  -45  12 22 <B(11) 11 2222 21
  126                 1223                  -47  12 <B(11) 112 2222 21
  127                 1228                  -44  22 (22)B> 112 2222 21
  128                 1232                  -40  223 (22)B> 2222 21
  129                 1235                  -43  223 <B(11) 12 2221 21
  130                 1241                  -49  <B(11) 113 12 2221 21
  131                 1243                  -51  <A(11) 114 12 2221 21
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  <A(11) 111+V(1) 12 222 10
    1                    3                    3  01 (22)B> 111+V(1) 12 222 10
    2             5+2*V(1)             5+2*V(1)  01 221+V(1) (22)B> 12 222 10
    3            10+2*V(1)             2+2*V(1)  01 221+V(1) <B(11) 11 222 10
    4            12+4*V(1)                    0  01 <B(11) 112+V(1) 222 10
    5            15+4*V(1)                    3  02 (22)B> 112+V(1) 222 10
    6            19+6*V(1)             7+2*V(1)  02 222+V(1) (22)B> 222 10
    7            22+6*V(1)             4+2*V(1)  02 222+V(1) <B(11) 12 22 10
    8            26+8*V(1)                    0  02 <B(11) 112+V(1) 12 22 10
    9            28+8*V(1)                   -2  <C(11) 113+V(1) 12 22 10
   10            33+8*V(1)                    1  12 (22)B> 113+V(1) 12 22 10
   11           39+10*V(1)             7+2*V(1)  12 223+V(1) (22)B> 12 22 10
   12           44+10*V(1)             4+2*V(1)  12 223+V(1) <B(11) 11 22 10
   13           50+12*V(1)                   -2  12 <B(11) 114+V(1) 22 10
   14           55+12*V(1)                    1  22 (22)B> 114+V(1) 22 10
   15           63+14*V(1)             9+2*V(1)  225+V(1) (22)B> 22 10
   16           66+14*V(1)             6+2*V(1)  225+V(1) <B(11) 12 10
   17           76+16*V(1)                   -4  <B(11) 115+V(1) 12 10
   18           78+16*V(1)                   -6  <A(11) 116+V(1) 12 10
   19           81+16*V(1)                   -3  01 (22)B> 116+V(1) 12 10
   20           93+18*V(1)             9+2*V(1)  01 226+V(1) (22)B> 12 10
   21           98+18*V(1)             6+2*V(1)  01 226+V(1) <B(11) 11 10
   22          110+20*V(1)                   -6  01 <B(11) 117+V(1) 10
   23          113+20*V(1)                   -3  02 (22)B> 117+V(1) 10
   24          127+22*V(1)            11+2*V(1)  02 227+V(1) (22)B> 10
   25          132+22*V(1)             8+2*V(1)  02 227+V(1) <A(22) 21
   26          146+24*V(1)                   -6  02 <A(22) 227+V(1) 21
   27          148+24*V(1)                   -8  <A(12) 228+V(1) 21
   28          155+24*V(1)                   -5  02 (22)B> 228+V(1) 21
   29          158+24*V(1)                   -8  02 <B(11) 12 227+V(1) 21
   30          160+24*V(1)                  -10  <C(11) 11 12 227+V(1) 21
   31          165+24*V(1)                   -7  12 (22)B> 11 12 227+V(1) 21
   32          167+24*V(1)                   -5  12 22 (22)B> 12 227+V(1) 21
   33          172+24*V(1)                   -8  12 22 <B(11) 11 227+V(1) 21
   34          174+24*V(1)                  -10  12 <B(11) 112 227+V(1) 21
   35          179+24*V(1)                   -7  22 (22)B> 112 227+V(1) 21
   36          183+24*V(1)                   -3  223 (22)B> 227+V(1) 21
   37          186+24*V(1)                   -6  223 <B(11) 12 226+V(1) 21
   38          192+24*V(1)                  -12  <B(11) 113 12 226+V(1) 21
   39          194+24*V(1)                  -14  <A(11) 114 12 226+V(1) 21
<< Success! ==> defined new CTR 2 (PPA)
  131                 1243                  -51  <A(11) 114 12 2221 21
== Executing  PA-CTR  1, V(1)=18, V(2)=3, repcount=10, factor=5/2
  311                 6103                 -111  <A(11) 1154 12 22 21
  312                 6106                 -108  01 (22)B> 1154 12 22 21
  313                 6214                    0  01 2254 (22)B> 12 22 21
  314                 6219                   -3  01 2254 <B(11) 11 22 21
  315                 6327                 -111  01 <B(11) 1155 22 21
  316                 6330                 -108  02 (22)B> 1155 22 21
  317                 6440                    2  02 2255 (22)B> 22 21
  318                 6443                   -1  02 2255 <B(11) 12 21
  319                 6553                 -111  02 <B(11) 1155 12 21
  320                 6555                 -113  <C(11) 1156 12 21
  321                 6560                 -110  12 (22)B> 1156 12 21
  322                 6672                    2  12 2256 (22)B> 12 21
  323                 6677                   -1  12 2256 <B(11) 11 21
  324                 6789                 -113  12 <B(11) 1157 21
  325                 6794                 -110  22 (22)B> 1157 21
  326                 6908                    4  2258 (22)B> 21
  327                 6911                    1  2258 <B(11) 11
  328                 7027                 -115  <B(11) 1159
  329                 7029                 -117  <A(11) 1160
  330                 7032                 -114  01 (22)B> 1160
  331                 7152                    6  01 2260 (22)B>
  332                 7155                    3  01 2260 <C(22) 10
  333                 7275                 -117  01 <C(22) 2260 10
  334                 7279                 -119  <A(12) 2261 10
  335                 7286                 -116  02 (22)B> 2261 10
  336                 7289                 -119  02 <B(11) 12 2260 10
  337                 7291                 -121  <C(11) 11 12 2260 10
  338                 7296                 -118  12 (22)B> 11 12 2260 10
  339                 7298                 -116  12 22 (22)B> 12 2260 10
  340                 7303                 -119  12 22 <B(11) 11 2260 10
  341                 7305                 -121  12 <B(11) 112 2260 10
  342                 7310                 -118  22 (22)B> 112 2260 10
  343                 7314                 -114  223 (22)B> 2260 10
  344                 7317                 -117  223 <B(11) 12 2259 10
  345                 7323                 -123  <B(11) 113 12 2259 10
  346                 7325                 -125  <A(11) 114 12 2259 10
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  <A(11) 111+V(1) 12 22 21
    1                    3                    3  01 (22)B> 111+V(1) 12 22 21
    2             5+2*V(1)             5+2*V(1)  01 221+V(1) (22)B> 12 22 21
    3            10+2*V(1)             2+2*V(1)  01 221+V(1) <B(11) 11 22 21
    4            12+4*V(1)                    0  01 <B(11) 112+V(1) 22 21
    5            15+4*V(1)                    3  02 (22)B> 112+V(1) 22 21
    6            19+6*V(1)             7+2*V(1)  02 222+V(1) (22)B> 22 21
    7            22+6*V(1)             4+2*V(1)  02 222+V(1) <B(11) 12 21
    8            26+8*V(1)                    0  02 <B(11) 112+V(1) 12 21
    9            28+8*V(1)                   -2  <C(11) 113+V(1) 12 21
   10            33+8*V(1)                    1  12 (22)B> 113+V(1) 12 21
   11           39+10*V(1)             7+2*V(1)  12 223+V(1) (22)B> 12 21
   12           44+10*V(1)             4+2*V(1)  12 223+V(1) <B(11) 11 21
   13           50+12*V(1)                   -2  12 <B(11) 114+V(1) 21
   14           55+12*V(1)                    1  22 (22)B> 114+V(1) 21
   15           63+14*V(1)             9+2*V(1)  225+V(1) (22)B> 21
   16           66+14*V(1)             6+2*V(1)  225+V(1) <B(11) 11
   17           76+16*V(1)                   -4  <B(11) 116+V(1)
   18           78+16*V(1)                   -6  <A(11) 117+V(1)
   19           81+16*V(1)                   -3  01 (22)B> 117+V(1)
   20           95+18*V(1)            11+2*V(1)  01 227+V(1) (22)B>
   21           98+18*V(1)             8+2*V(1)  01 227+V(1) <C(22) 10
   22          112+20*V(1)                   -6  01 <C(22) 227+V(1) 10
   23          116+20*V(1)                   -8  <A(12) 228+V(1) 10
   24          123+20*V(1)                   -5  02 (22)B> 228+V(1) 10
   25          126+20*V(1)                   -8  02 <B(11) 12 227+V(1) 10
   26          128+20*V(1)                  -10  <C(11) 11 12 227+V(1) 10
   27          133+20*V(1)                   -7  12 (22)B> 11 12 227+V(1) 10
   28          135+20*V(1)                   -5  12 22 (22)B> 12 227+V(1) 10
   29          140+20*V(1)                   -8  12 22 <B(11) 11 227+V(1) 10
   30          142+20*V(1)                  -10  12 <B(11) 112 227+V(1) 10
   31          147+20*V(1)                   -7  22 (22)B> 112 227+V(1) 10
   32          151+20*V(1)                   -3  223 (22)B> 227+V(1) 10
   33          154+20*V(1)                   -6  223 <B(11) 12 226+V(1) 10
   34          160+20*V(1)                  -12  <B(11) 113 12 226+V(1) 10
   35          162+20*V(1)                  -14  <A(11) 114 12 226+V(1) 10
<< Success! ==> defined new CTR 3 (PPA)
  346                 7325                 -125  <A(11) 114 12 2259 10
== Executing  PA-CTR  1, V(1)=56, V(2)=3, repcount=29, factor=5/2
  868                43459                 -299  <A(11) 11149 12 22 10
  869                43462                 -296  01 (22)B> 11149 12 22 10
  870                43760                    2  01 22149 (22)B> 12 22 10
  871                43765                   -1  01 22149 <B(11) 11 22 10
  872                44063                 -299  01 <B(11) 11150 22 10
  873                44066                 -296  02 (22)B> 11150 22 10
  874                44366                    4  02 22150 (22)B> 22 10
  875                44369                    1  02 22150 <B(11) 12 10
  876                44669                 -299  02 <B(11) 11150 12 10
  877                44671                 -301  <C(11) 11151 12 10
  878                44676                 -298  12 (22)B> 11151 12 10
  879                44978                    4  12 22151 (22)B> 12 10
  880                44983                    1  12 22151 <B(11) 11 10
  881                45285                 -301  12 <B(11) 11152 10
  882                45290                 -298  22 (22)B> 11152 10
  883                45594                    6  22153 (22)B> 10
  884                45599                    3  22153 <A(22) 21
  885                45905                 -303  <A(22) 22153 21
  886                45913                 -305  <C(11) 11 22153 21
  887                45918                 -302  12 (22)B> 11 22153 21
  888                45920                 -300  12 22 (22)B> 22153 21
  889                45923                 -303  12 22 <B(11) 12 22152 21
  890                45925                 -305  12 <B(11) 11 12 22152 21
  891                45930                 -302  22 (22)B> 11 12 22152 21
  892                45932                 -300  222 (22)B> 12 22152 21
  893                45937                 -303  222 <B(11) 11 22152 21
  894                45941                 -307  <B(11) 113 22152 21
  895                45943                 -309  <A(11) 114 22152 21
  896                45946                 -306  01 (22)B> 114 22152 21
  897                45954                 -298  01 224 (22)B> 22152 21
  898                45957                 -301  01 224 <B(11) 12 22151 21
  899                45965                 -309  01 <B(11) 114 12 22151 21
  900                45968                 -306  02 (22)B> 114 12 22151 21
  901                45976                 -298  02 224 (22)B> 12 22151 21
  902                45981                 -301  02 224 <B(11) 11 22151 21
  903                45989                 -309  02 <B(11) 115 22151 21
  904                45991                 -311  <C(11) 116 22151 21
>> Try to prove a PA-CTR with 2 Vars...
    0                    0                    0  <C(11) 111+V(2) 223+V(1) [*]*
    1                    5                    3  12 (22)B> 111+V(2) 223+V(1) [*]*
    2             7+2*V(2)             5+2*V(2)  12 221+V(2) (22)B> 223+V(1) [*]*
    3            10+2*V(2)             2+2*V(2)  12 221+V(2) <B(11) 12 222+V(1) [*]*
    4            12+4*V(2)                    0  12 <B(11) 111+V(2) 12 222+V(1) [*]*
    5            17+4*V(2)                    3  22 (22)B> 111+V(2) 12 222+V(1) [*]*
    6            19+6*V(2)             5+2*V(2)  222+V(2) (22)B> 12 222+V(1) [*]*
    7            24+6*V(2)             2+2*V(2)  222+V(2) <B(11) 11 222+V(1) [*]*
    8            28+8*V(2)                   -2  <B(11) 113+V(2) 222+V(1) [*]*
    9            30+8*V(2)                   -4  <A(11) 114+V(2) 222+V(1) [*]*
   10            33+8*V(2)                   -1  01 (22)B> 114+V(2) 222+V(1) [*]*
   11           41+10*V(2)             7+2*V(2)  01 224+V(2) (22)B> 222+V(1) [*]*
   12           44+10*V(2)             4+2*V(2)  01 224+V(2) <B(11) 12 221+V(1) [*]*
   13           52+12*V(2)                   -4  01 <B(11) 114+V(2) 12 221+V(1) [*]*
   14           55+12*V(2)                   -1  02 (22)B> 114+V(2) 12 221+V(1) [*]*
   15           63+14*V(2)             7+2*V(2)  02 224+V(2) (22)B> 12 221+V(1) [*]*
   16           68+14*V(2)             4+2*V(2)  02 224+V(2) <B(11) 11 221+V(1) [*]*
   17           76+16*V(2)                   -4  02 <B(11) 115+V(2) 221+V(1) [*]*
   18           78+16*V(2)                   -6  <C(11) 116+V(2) 221+V(1) [*]*
<< Success! ==> defined new CTR 4 (PA)
  904                45991                 -311  <C(11) 116 22151 21
== Executing  PA-CTR  4, V(1)=148, V(2)=5, repcount=75, factor=5/2
 2254               279841                 -761  <C(11) 11381 22 21
 2255               279846                 -758  12 (22)B> 11381 22 21
 2256               280608                    4  12 22381 (22)B> 22 21
 2257               280611                    1  12 22381 <B(11) 12 21
 2258               281373                 -761  12 <B(11) 11381 12 21
 2259               281378                 -758  22 (22)B> 11381 12 21
 2260               282140                    4  22382 (22)B> 12 21
 2261               282145                    1  22382 <B(11) 11 21
 2262               282909                 -763  <B(11) 11383 21
 2263               282911                 -765  <A(11) 11384 21
 2264               282914                 -762  01 (22)B> 11384 21
 2265               283682                    6  01 22384 (22)B> 21
 2266               283685                    3  01 22384 <B(11) 11
 2267               284453                 -765  01 <B(11) 11385
 2268               284456                 -762  02 (22)B> 11385
 2269               285226                    8  02 22385 (22)B>
 2270               285229                    5  02 22385 <C(22) 10
 2271               285999                 -765  02 <C(22) 22385 10
 2272               286007                 -767  <B(11) 12 22385 10
 2273               286009                 -769  <A(11) 11 12 22385 10
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  <C(11) 111+V(1) 22 21
    1                    5                    3  12 (22)B> 111+V(1) 22 21
    2             7+2*V(1)             5+2*V(1)  12 221+V(1) (22)B> 22 21
    3            10+2*V(1)             2+2*V(1)  12 221+V(1) <B(11) 12 21
    4            12+4*V(1)                    0  12 <B(11) 111+V(1) 12 21
    5            17+4*V(1)                    3  22 (22)B> 111+V(1) 12 21
    6            19+6*V(1)             5+2*V(1)  222+V(1) (22)B> 12 21
    7            24+6*V(1)             2+2*V(1)  222+V(1) <B(11) 11 21
    8            28+8*V(1)                   -2  <B(11) 113+V(1) 21
    9            30+8*V(1)                   -4  <A(11) 114+V(1) 21
   10            33+8*V(1)                   -1  01 (22)B> 114+V(1) 21
   11           41+10*V(1)             7+2*V(1)  01 224+V(1) (22)B> 21
   12           44+10*V(1)             4+2*V(1)  01 224+V(1) <B(11) 11
   13           52+12*V(1)                   -4  01 <B(11) 115+V(1)
   14           55+12*V(1)                   -1  02 (22)B> 115+V(1)
   15           65+14*V(1)             9+2*V(1)  02 225+V(1) (22)B>
   16           68+14*V(1)             6+2*V(1)  02 225+V(1) <C(22) 10
   17           78+16*V(1)                   -4  02 <C(22) 225+V(1) 10
   18           86+16*V(1)                   -6  <B(11) 12 225+V(1) 10
   19           88+16*V(1)                   -8  <A(11) 11 12 225+V(1) 10
<< Success! ==> defined new CTR 5 (PPA)
 2273               286009                 -769  <A(11) 11 12 22385 10
== Executing  PA-CTR  1, V(1)=382, V(2)=0, repcount=192, factor=5/2
 5729              1767865                -1921  <A(11) 11961 12 22 10
 5730              1767868                -1918  01 (22)B> 11961 12 22 10
 5731              1769790                    4  01 22961 (22)B> 12 22 10
 5732              1769795                    1  01 22961 <B(11) 11 22 10
 5733              1771717                -1921  01 <B(11) 11962 22 10
 5734              1771720                -1918  02 (22)B> 11962 22 10
 5735              1773644                    6  02 22962 (22)B> 22 10
 5736              1773647                    3  02 22962 <B(11) 12 10
 5737              1775571                -1921  02 <B(11) 11962 12 10
 5738              1775573                -1923  <C(11) 11963 12 10
 5739              1775578                -1920  12 (22)B> 11963 12 10
 5740              1777504                    6  12 22963 (22)B> 12 10
 5741              1777509                    3  12 22963 <B(11) 11 10
 5742              1779435                -1923  12 <B(11) 11964 10
 5743              1779440                -1920  22 (22)B> 11964 10
 5744              1781368                    8  22965 (22)B> 10
 5745              1781373                    5  22965 <A(22) 21
 5746              1783303                -1925  <A(22) 22965 21
 5747              1783311                -1927  <C(11) 11 22965 21
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  <A(11) 111+V(1) 12 22 10
    1                    3                    3  01 (22)B> 111+V(1) 12 22 10
    2             5+2*V(1)             5+2*V(1)  01 221+V(1) (22)B> 12 22 10
    3            10+2*V(1)             2+2*V(1)  01 221+V(1) <B(11) 11 22 10
    4            12+4*V(1)                    0  01 <B(11) 112+V(1) 22 10
    5            15+4*V(1)                    3  02 (22)B> 112+V(1) 22 10
    6            19+6*V(1)             7+2*V(1)  02 222+V(1) (22)B> 22 10
    7            22+6*V(1)             4+2*V(1)  02 222+V(1) <B(11) 12 10
    8            26+8*V(1)                    0  02 <B(11) 112+V(1) 12 10
    9            28+8*V(1)                   -2  <C(11) 113+V(1) 12 10
   10            33+8*V(1)                    1  12 (22)B> 113+V(1) 12 10
   11           39+10*V(1)             7+2*V(1)  12 223+V(1) (22)B> 12 10
   12           44+10*V(1)             4+2*V(1)  12 223+V(1) <B(11) 11 10
   13           50+12*V(1)                   -2  12 <B(11) 114+V(1) 10
   14           55+12*V(1)                    1  22 (22)B> 114+V(1) 10
   15           63+14*V(1)             9+2*V(1)  225+V(1) (22)B> 10
   16           68+14*V(1)             6+2*V(1)  225+V(1) <A(22) 21
   17           78+16*V(1)                   -4  <A(22) 225+V(1) 21
   18           86+16*V(1)                   -6  <C(11) 11 225+V(1) 21
<< Success! ==> defined new CTR 6 (PPA)
 5747              1783311                -1927  <C(11) 11 22965 21
== Executing  PA-CTR  4, V(1)=962, V(2)=0, repcount=482, factor=5/2
14423             11094587                -4819  <C(11) 112411 22 21
== Executing PPA-CTR  5 (once), V(1)=2410
14442             11133235                -4827  <A(11) 11 12 222415 10
== Executing  PA-CTR  1, V(1)=2412, V(2)=0, repcount=1207, factor=5/2
36168             69453061               -12069  <A(11) 116036 12 22 10
== Executing PPA-CTR  6 (once), V(1)=6035
36186             69549707               -12075  <C(11) 11 226040 21
== Executing  PA-CTR  4, V(1)=6037, V(2)=0, repcount=3019, factor=5/2
90528            434238869               -30189  <C(11) 1115096 222 21
90529            434238874               -30186  12 (22)B> 1115096 222 21
90530            434269066                    6  12 2215096 (22)B> 222 21
90531            434269069                    3  12 2215096 <B(11) 12 22 21
90532            434299261               -30189  12 <B(11) 1115096 12 22 21
90533            434299266               -30186  22 (22)B> 1115096 12 22 21
90534            434329458                    6  2215097 (22)B> 12 22 21
90535            434329463                    3  2215097 <B(11) 11 22 21
90536            434359657               -30191  <B(11) 1115098 22 21
90537            434359659               -30193  <A(11) 1115099 22 21
90538            434359662               -30190  01 (22)B> 1115099 22 21
90539            434389860                    8  01 2215099 (22)B> 22 21
90540            434389863                    5  01 2215099 <B(11) 12 21
90541            434420061               -30193  01 <B(11) 1115099 12 21
90542            434420064               -30190  02 (22)B> 1115099 12 21
90543            434450262                    8  02 2215099 (22)B> 12 21
90544            434450267                    5  02 2215099 <B(11) 11 21
90545            434480465               -30193  02 <B(11) 1115100 21
90546            434480467               -30195  <C(11) 1115101 21
90547            434480472               -30192  12 (22)B> 1115101 21
90548            434510674                   10  12 2215101 (22)B> 21
90549            434510677                    7  12 2215101 <B(11) 11
90550            434540879               -30195  12 <B(11) 1115102
90551            434540884               -30192  22 (22)B> 1115102
90552            434571088                   12  2215103 (22)B>
90553            434571091                    9  2215103 <C(22) 10
90554            434601297               -30197  <C(22) 2215103 10
90555            434601309               -30199  <B(11) 11 2215103 10
90556            434601311               -30201  <A(11) 112 2215103 10
90557            434601314               -30198  01 (22)B> 112 2215103 10
90558            434601318               -30194  01 222 (22)B> 2215103 10
90559            434601321               -30197  01 222 <B(11) 12 2215102 10
90560            434601325               -30201  01 <B(11) 112 12 2215102 10
90561            434601328               -30198  02 (22)B> 112 12 2215102 10
90562            434601332               -30194  02 222 (22)B> 12 2215102 10
90563            434601337               -30197  02 222 <B(11) 11 2215102 10
90564            434601341               -30201  02 <B(11) 113 2215102 10
90565            434601343               -30203  <C(11) 114 2215102 10
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  <C(11) 111+V(1) 222 21
    1                    5                    3  12 (22)B> 111+V(1) 222 21
    2             7+2*V(1)             5+2*V(1)  12 221+V(1) (22)B> 222 21
    3            10+2*V(1)             2+2*V(1)  12 221+V(1) <B(11) 12 22 21
    4            12+4*V(1)                    0  12 <B(11) 111+V(1) 12 22 21
    5            17+4*V(1)                    3  22 (22)B> 111+V(1) 12 22 21
    6            19+6*V(1)             5+2*V(1)  222+V(1) (22)B> 12 22 21
    7            24+6*V(1)             2+2*V(1)  222+V(1) <B(11) 11 22 21
    8            28+8*V(1)                   -2  <B(11) 113+V(1) 22 21
    9            30+8*V(1)                   -4  <A(11) 114+V(1) 22 21
   10            33+8*V(1)                   -1  01 (22)B> 114+V(1) 22 21
   11           41+10*V(1)             7+2*V(1)  01 224+V(1) (22)B> 22 21
   12           44+10*V(1)             4+2*V(1)  01 224+V(1) <B(11) 12 21
   13           52+12*V(1)                   -4  01 <B(11) 114+V(1) 12 21
   14           55+12*V(1)                   -1  02 (22)B> 114+V(1) 12 21
   15           63+14*V(1)             7+2*V(1)  02 224+V(1) (22)B> 12 21
   16           68+14*V(1)             4+2*V(1)  02 224+V(1) <B(11) 11 21
   17           76+16*V(1)                   -4  02 <B(11) 115+V(1) 21
   18           78+16*V(1)                   -6  <C(11) 116+V(1) 21
   19           83+16*V(1)                   -3  12 (22)B> 116+V(1) 21
   20           95+18*V(1)             9+2*V(1)  12 226+V(1) (22)B> 21
   21           98+18*V(1)             6+2*V(1)  12 226+V(1) <B(11) 11
   22          110+20*V(1)                   -6  12 <B(11) 117+V(1)
   23          115+20*V(1)                   -3  22 (22)B> 117+V(1)
   24          129+22*V(1)            11+2*V(1)  228+V(1) (22)B>
   25          132+22*V(1)             8+2*V(1)  228+V(1) <C(22) 10
   26          148+24*V(1)                   -8  <C(22) 228+V(1) 10
   27          160+24*V(1)                  -10  <B(11) 11 228+V(1) 10
   28          162+24*V(1)                  -12  <A(11) 112 228+V(1) 10
   29          165+24*V(1)                   -9  01 (22)B> 112 228+V(1) 10
   30          169+24*V(1)                   -5  01 222 (22)B> 228+V(1) 10
   31          172+24*V(1)                   -8  01 222 <B(11) 12 227+V(1) 10
   32          176+24*V(1)                  -12  01 <B(11) 112 12 227+V(1) 10
   33          179+24*V(1)                   -9  02 (22)B> 112 12 227+V(1) 10
   34          183+24*V(1)                   -5  02 222 (22)B> 12 227+V(1) 10
   35          188+24*V(1)                   -8  02 222 <B(11) 11 227+V(1) 10
   36          192+24*V(1)                  -12  02 <B(11) 113 227+V(1) 10
   37          194+24*V(1)                  -14  <C(11) 114 227+V(1) 10
<< Success! ==> defined new CTR 7 (PPA)
90565            434601343               -30203  <C(11) 114 2215102 10
== Executing  PA-CTR  4, V(1)=15099, V(2)=3, repcount=7550, factor=5/2
226465           2715350643               -75503  <C(11) 1137754 222 10
226466           2715350648               -75500  12 (22)B> 1137754 222 10
226467           2715426156                    8  12 2237754 (22)B> 222 10
226468           2715426159                    5  12 2237754 <B(11) 12 22 10
226469           2715501667               -75503  12 <B(11) 1137754 12 22 10
226470           2715501672               -75500  22 (22)B> 1137754 12 22 10
226471           2715577180                    8  2237755 (22)B> 12 22 10
226472           2715577185                    5  2237755 <B(11) 11 22 10
226473           2715652695               -75505  <B(11) 1137756 22 10
226474           2715652697               -75507  <A(11) 1137757 22 10
226475           2715652700               -75504  01 (22)B> 1137757 22 10
226476           2715728214                   10  01 2237757 (22)B> 22 10
226477           2715728217                    7  01 2237757 <B(11) 12 10
226478           2715803731               -75507  01 <B(11) 1137757 12 10
226479           2715803734               -75504  02 (22)B> 1137757 12 10
226480           2715879248                   10  02 2237757 (22)B> 12 10
226481           2715879253                    7  02 2237757 <B(11) 11 10
226482           2715954767               -75507  02 <B(11) 1137758 10
226483           2715954769               -75509  <C(11) 1137759 10
226484           2715954774               -75506  12 (22)B> 1137759 10
226485           2716030292                   12  12 2237759 (22)B> 10
226486           2716030297                    9  12 2237759 <A(22) 21
226487           2716105815               -75509  12 <A(22) 2237759 21
226488           2716105819               -75511  <C(22) 2237760 21
226489           2716105831               -75513  <B(11) 11 2237760 21
226490           2716105833               -75515  <A(11) 112 2237760 21
226491           2716105836               -75512  01 (22)B> 112 2237760 21
226492           2716105840               -75508  01 222 (22)B> 2237760 21
226493           2716105843               -75511  01 222 <B(11) 12 2237759 21
226494           2716105847               -75515  01 <B(11) 112 12 2237759 21
226495           2716105850               -75512  02 (22)B> 112 12 2237759 21
226496           2716105854               -75508  02 222 (22)B> 12 2237759 21
226497           2716105859               -75511  02 222 <B(11) 11 2237759 21
226498           2716105863               -75515  02 <B(11) 113 2237759 21
226499           2716105865               -75517  <C(11) 114 2237759 21
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  <C(11) 111+V(1) 222 10
    1                    5                    3  12 (22)B> 111+V(1) 222 10
    2             7+2*V(1)             5+2*V(1)  12 221+V(1) (22)B> 222 10
    3            10+2*V(1)             2+2*V(1)  12 221+V(1) <B(11) 12 22 10
    4            12+4*V(1)                    0  12 <B(11) 111+V(1) 12 22 10
    5            17+4*V(1)                    3  22 (22)B> 111+V(1) 12 22 10
    6            19+6*V(1)             5+2*V(1)  222+V(1) (22)B> 12 22 10
    7            24+6*V(1)             2+2*V(1)  222+V(1) <B(11) 11 22 10
    8            28+8*V(1)                   -2  <B(11) 113+V(1) 22 10
    9            30+8*V(1)                   -4  <A(11) 114+V(1) 22 10
   10            33+8*V(1)                   -1  01 (22)B> 114+V(1) 22 10
   11           41+10*V(1)             7+2*V(1)  01 224+V(1) (22)B> 22 10
   12           44+10*V(1)             4+2*V(1)  01 224+V(1) <B(11) 12 10
   13           52+12*V(1)                   -4  01 <B(11) 114+V(1) 12 10
   14           55+12*V(1)                   -1  02 (22)B> 114+V(1) 12 10
   15           63+14*V(1)             7+2*V(1)  02 224+V(1) (22)B> 12 10
   16           68+14*V(1)             4+2*V(1)  02 224+V(1) <B(11) 11 10
   17           76+16*V(1)                   -4  02 <B(11) 115+V(1) 10
   18           78+16*V(1)                   -6  <C(11) 116+V(1) 10
   19           83+16*V(1)                   -3  12 (22)B> 116+V(1) 10
   20           95+18*V(1)             9+2*V(1)  12 226+V(1) (22)B> 10
   21          100+18*V(1)             6+2*V(1)  12 226+V(1) <A(22) 21
   22          112+20*V(1)                   -6  12 <A(22) 226+V(1) 21
   23          116+20*V(1)                   -8  <C(22) 227+V(1) 21
   24          128+20*V(1)                  -10  <B(11) 11 227+V(1) 21
   25          130+20*V(1)                  -12  <A(11) 112 227+V(1) 21
   26          133+20*V(1)                   -9  01 (22)B> 112 227+V(1) 21
   27          137+20*V(1)                   -5  01 222 (22)B> 227+V(1) 21
   28          140+20*V(1)                   -8  01 222 <B(11) 12 226+V(1) 21
   29          144+20*V(1)                  -12  01 <B(11) 112 12 226+V(1) 21
   30          147+20*V(1)                   -9  02 (22)B> 112 12 226+V(1) 21
   31          151+20*V(1)                   -5  02 222 (22)B> 12 226+V(1) 21
   32          156+20*V(1)                   -8  02 222 <B(11) 11 226+V(1) 21
   33          160+20*V(1)                  -12  02 <B(11) 113 226+V(1) 21
   34          162+20*V(1)                  -14  <C(11) 114 226+V(1) 21
<< Success! ==> defined new CTR 8 (PPA)
226499           2716105865               -75517  <C(11) 114 2237759 21
== Executing  PA-CTR  4, V(1)=37756, V(2)=3, repcount=18879, factor=5/2
566321          16974395099              -188791  <C(11) 1194399 22 21
== Executing PPA-CTR  5 (once), V(1)=94398
566340          16975905555              -188799  <A(11) 11 12 2294403 10
== Executing  PA-CTR  1, V(1)=94400, V(2)=0, repcount=47201, factor=5/2
1415958         106095075233              -472005  <A(11) 11236006 12 22 10
== Executing PPA-CTR  6 (once), V(1)=236005
1415976         106098851399              -472011  <C(11) 11 22236010 21
== Executing  PA-CTR  4, V(1)=236007, V(2)=0, repcount=118004, factor=5/2
3540048         663101096191             -1180035  <C(11) 11590021 222 21
== Executing PPA-CTR  7 (once), V(1)=590020
3540085         663115256865             -1180049  <C(11) 114 22590027 10
== Executing  PA-CTR  4, V(1)=590024, V(2)=3, repcount=295013, factor=5/2
8850319        4144447434743             -2950127  <C(11) 111475069 22 10
8850320        4144447434748             -2950124  12 (22)B> 111475069 22 10
8850321        4144450384886                   14  12 221475069 (22)B> 22 10
8850322        4144450384889                   11  12 221475069 <B(11) 12 10
8850323        4144453335027             -2950127  12 <B(11) 111475069 12 10
8850324        4144453335032             -2950124  22 (22)B> 111475069 12 10
8850325        4144456285170                   14  221475070 (22)B> 12 10
8850326        4144456285175                   11  221475070 <B(11) 11 10
8850327        4144459235315             -2950129  <B(11) 111475071 10
8850328        4144459235317             -2950131  <A(11) 111475072 10
8850329        4144459235320             -2950128  01 (22)B> 111475072 10
8850330        4144462185464                   16  01 221475072 (22)B> 10
8850331        4144462185469                   13  01 221475072 <A(22) 21
8850332        4144465135613             -2950131  01 <A(22) 221475072 21
8850333        4144465135614             -2950132  Z> 0222 221475072 21   [stop]

Lines:       307
Top steps:   306
Macro steps: 8850333
Basic steps: 4144465135614
Tape index:  -2950132
nonzeros:    2950149
log10(nonzeros):    6.470
log10(steps   ):   12.617
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-bck-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 #e of G. Lafitte & C. Papazian
    5T  B1R Z2L C2L  C1L B2R B1L  A1L C2R A2L
    : 2,950,149 4,144,465,135,614
    L 52
    M	400
    pref	sim
    machv Laf33_e  	just simple
    machv Laf33_e-r	with repetitions reduced
    machv Laf33_e-1	with tape symbol exponents
    machv Laf33_e-m	as 2-bck-macro machine
    machv Laf33_e-a	as 2-bck-macro machine with pure additive config-TRs
    iam	Laf33_e-a
    mtype	2 0
    mmtyp	3
    r	1
    H	1
    mac	0
    E	2
    sympr	
    HM	1
    date	Tue Jul  6 22:11:51 CEST 2010
    edate	Tue Jul  6 22:11:52 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 22:11:51 CEST 2010
Ready: Tue Jul 6 22:11:52 CEST 2010