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 | ||||||||||||
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Move | Goto | Move | Goto | Move | Goto | Move | Goto | Move | Goto | 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 |
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
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 7Start: Tue Jul 6 22:13:24 CEST 2010
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;