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 | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Move | Goto | Move | Goto | 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 |
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
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 1Start: Tue Jul 6 22:11:48 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;