Comment: This TM produces 1,957,771 nonzeros in 912,594,733,606 steps.
State | on 0 |
on 1 |
on 2 |
on 3 |
on 4 |
on 0 | on 1 | on 2 | on 3 | on 4 | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Move | Goto | Move | Goto | Move | Goto | Move | Goto | Move | Goto | |||||||||||
A | B1R | B3L | Z1R | A1L | A1L | 1 | right | B | 3 | left | B | 1 | right | Z | 1 | left | A | 1 | left | A |
B | A2L | B3R | B4L | B4L | A3R | 2 | left | A | 3 | right | B | 4 | left | B | 4 | left | B | 3 | 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 2 3 3 -1 <B 3 2 4 4 -2 <A 2 3 2 5 5 -1 1 B> 2 3 2 6 6 -2 1 <B 4 3 2 7 7 -1 3 B> 4 3 2 8 8 0 32 A> 3 2 9 9 -1 32 <A 1 2 10 11 -3 <A 13 2 11 12 -2 1 B> 13 2 12 15 1 1 33 B> 2 13 16 0 1 33 <B 4 14 19 -3 1 <B 44 15 20 -2 3 B> 44 16 21 -1 32 A> 43 17 22 -2 32 <A 1 42 18 24 -4 <A 13 42 19 25 -3 1 B> 13 42 20 28 0 1 33 B> 42 21 29 1 1 34 A> 4 22 30 0 1 34 <A 1 23 34 -4 1 <A 15 24 35 -5 <B 3 15 25 36 -6 <A 2 3 15 26 37 -5 1 B> 2 3 15 27 38 -6 1 <B 4 3 15 28 39 -5 3 B> 4 3 15 29 40 -4 32 A> 3 15 30 41 -5 32 <A 16 31 43 -7 <A 18 32 44 -6 1 B> 18 33 52 2 1 38 B> 34 53 1 1 38 <A 2 35 61 -7 1 <A 18 2 36 62 -8 <B 3 18 2 37 63 -9 <A 2 3 18 2 38 64 -8 1 B> 2 3 18 2 39 65 -9 1 <B 4 3 18 2 40 66 -8 3 B> 4 3 18 2 41 67 -7 32 A> 3 18 2 42 68 -8 32 <A 19 2 43 70 -10 <A 111 2 44 71 -9 1 B> 111 2 45 82 2 1 311 B> 2 46 83 1 1 311 <B 4 47 94 -10 1 <B 412 48 95 -9 3 B> 412 49 96 -8 32 A> 411 50 97 -9 32 <A 1 410 51 99 -11 <A 13 410 52 100 -10 1 B> 13 410 53 103 -7 1 33 B> 410 54 104 -6 1 34 A> 49 55 105 -7 1 34 <A 1 48 56 109 -11 1 <A 15 48 57 110 -12 <B 3 15 48 58 111 -13 <A 2 3 15 48 59 112 -12 1 B> 2 3 15 48 60 113 -13 1 <B 4 3 15 48 61 114 -12 3 B> 4 3 15 48 62 115 -11 32 A> 3 15 48 63 116 -12 32 <A 16 48 >> Try to prove a PA-CTR with 2 Vars... 0 0 0 32 <A 11+V(2) 43+V(1) 1 2 -2 <A 13+V(2) 43+V(1) 2 3 -1 1 B> 13+V(2) 43+V(1) 3 6+V(2) 2+V(2) 1 33+V(2) B> 43+V(1) 4 7+V(2) 3+V(2) 1 34+V(2) A> 42+V(1) 5 8+V(2) 2+V(2) 1 34+V(2) <A 1 41+V(1) 6 12+2*V(2) -2 1 <A 15+V(2) 41+V(1) 7 13+2*V(2) -3 <B 3 15+V(2) 41+V(1) 8 14+2*V(2) -4 <A 2 3 15+V(2) 41+V(1) 9 15+2*V(2) -3 1 B> 2 3 15+V(2) 41+V(1) 10 16+2*V(2) -4 1 <B 4 3 15+V(2) 41+V(1) 11 17+2*V(2) -3 3 B> 4 3 15+V(2) 41+V(1) 12 18+2*V(2) -2 32 A> 3 15+V(2) 41+V(1) 13 19+2*V(2) -3 32 <A 16+V(2) 41+V(1) << Success! ==> defined new CTR 1 (PA) 63 116 -12 32 <A 16 48 == Executing PA-CTR 1, V(1)=5, V(2)=5, repcount=3, factor=5/2 102 233 -21 32 <A 121 42 103 235 -23 <A 123 42 104 236 -22 1 B> 123 42 105 259 1 1 323 B> 42 106 260 2 1 324 A> 4 107 261 1 1 324 <A 1 108 285 -23 1 <A 125 109 286 -24 <B 3 125 110 287 -25 <A 2 3 125 111 288 -24 1 B> 2 3 125 112 289 -25 1 <B 4 3 125 113 290 -24 3 B> 4 3 125 114 291 -23 32 A> 3 125 115 292 -24 32 <A 126 116 294 -26 <A 128 117 295 -25 1 B> 128 118 323 3 1 328 B> 119 324 2 1 328 <A 2 120 352 -26 1 <A 128 2 121 353 -27 <B 3 128 2 122 354 -28 <A 2 3 128 2 123 355 -27 1 B> 2 3 128 2 124 356 -28 1 <B 4 3 128 2 125 357 -27 3 B> 4 3 128 2 126 358 -26 32 A> 3 128 2 127 359 -27 32 <A 129 2 128 361 -29 <A 131 2 129 362 -28 1 B> 131 2 130 393 3 1 331 B> 2 131 394 2 1 331 <B 4 132 425 -29 1 <B 432 133 426 -28 3 B> 432 134 427 -27 32 A> 431 135 428 -28 32 <A 1 430 >> Try to prove a PPA-CTR with 2 Vars... 0 0 0 31+V(1) <A 11+V(2) 42 1 1+V(1) -1+-1*V(1) <A 12+V(1)+V(2) 42 2 2+V(1) 0+-1*V(1) 1 B> 12+V(1)+V(2) 42 3 4+2*V(1)+V(2) 2+V(2) 1 32+V(1)+V(2) B> 42 4 5+2*V(1)+V(2) 3+V(2) 1 33+V(1)+V(2) A> 4 5 6+2*V(1)+V(2) 2+V(2) 1 33+V(1)+V(2) <A 1 6 9+3*V(1)+2*V(2) -1+-1*V(1) 1 <A 14+V(1)+V(2) 7 10+3*V(1)+2*V(2) -2+-1*V(1) <B 3 14+V(1)+V(2) 8 11+3*V(1)+2*V(2) -3+-1*V(1) <A 2 3 14+V(1)+V(2) 9 12+3*V(1)+2*V(2) -2+-1*V(1) 1 B> 2 3 14+V(1)+V(2) 10 13+3*V(1)+2*V(2) -3+-1*V(1) 1 <B 4 3 14+V(1)+V(2) 11 14+3*V(1)+2*V(2) -2+-1*V(1) 3 B> 4 3 14+V(1)+V(2) 12 15+3*V(1)+2*V(2) -1+-1*V(1) 32 A> 3 14+V(1)+V(2) 13 16+3*V(1)+2*V(2) -2+-1*V(1) 32 <A 15+V(1)+V(2) 14 18+3*V(1)+2*V(2) -4+-1*V(1) <A 17+V(1)+V(2) 15 19+3*V(1)+2*V(2) -3+-1*V(1) 1 B> 17+V(1)+V(2) 16 26+4*V(1)+3*V(2) 4+V(2) 1 37+V(1)+V(2) B> 17 27+4*V(1)+3*V(2) 3+V(2) 1 37+V(1)+V(2) <A 2 18 34+5*V(1)+4*V(2) -4+-1*V(1) 1 <A 17+V(1)+V(2) 2 19 35+5*V(1)+4*V(2) -5+-1*V(1) <B 3 17+V(1)+V(2) 2 20 36+5*V(1)+4*V(2) -6+-1*V(1) <A 2 3 17+V(1)+V(2) 2 21 37+5*V(1)+4*V(2) -5+-1*V(1) 1 B> 2 3 17+V(1)+V(2) 2 22 38+5*V(1)+4*V(2) -6+-1*V(1) 1 <B 4 3 17+V(1)+V(2) 2 23 39+5*V(1)+4*V(2) -5+-1*V(1) 3 B> 4 3 17+V(1)+V(2) 2 24 40+5*V(1)+4*V(2) -4+-1*V(1) 32 A> 3 17+V(1)+V(2) 2 25 41+5*V(1)+4*V(2) -5+-1*V(1) 32 <A 18+V(1)+V(2) 2 26 43+5*V(1)+4*V(2) -7+-1*V(1) <A 110+V(1)+V(2) 2 27 44+5*V(1)+4*V(2) -6+-1*V(1) 1 B> 110+V(1)+V(2) 2 28 54+6*V(1)+5*V(2) 4+V(2) 1 310+V(1)+V(2) B> 2 29 55+6*V(1)+5*V(2) 3+V(2) 1 310+V(1)+V(2) <B 4 30 65+7*V(1)+6*V(2) -7+-1*V(1) 1 <B 411+V(1)+V(2) 31 66+7*V(1)+6*V(2) -6+-1*V(1) 3 B> 411+V(1)+V(2) 32 67+7*V(1)+6*V(2) -5+-1*V(1) 32 A> 410+V(1)+V(2) 33 68+7*V(1)+6*V(2) -6+-1*V(1) 32 <A 1 49+V(1)+V(2) << Success! ==> defined new CTR 2 (PPA) 135 428 -28 32 <A 1 430 == Executing PA-CTR 1, V(1)=27, V(2)=0, repcount=14, factor=5/2 317 1604 -70 32 <A 171 42 == Executing PPA-CTR 2 (once), V(1)=1, V(2)=70 350 2099 -77 32 <A 1 480 == Executing PA-CTR 1, V(1)=77, V(2)=0, repcount=39, factor=5/2 857 10250 -194 32 <A 1196 42 == Executing PPA-CTR 2 (once), V(1)=1, V(2)=195 890 11495 -201 32 <A 1 4205 == Executing PA-CTR 1, V(1)=202, V(2)=0, repcount=102, factor=5/2 2216 64943 -507 32 <A 1511 4 2217 64945 -509 <A 1513 4 2218 64946 -508 1 B> 1513 4 2219 65459 5 1 3513 B> 4 2220 65460 6 1 3514 A> 2221 65461 7 1 3514 1 B> 2222 65462 6 1 3514 1 <A 2 2223 65463 5 1 3514 <B 3 2 2224 65977 -509 1 <B 4514 3 2 2225 65978 -508 3 B> 4514 3 2 2226 65979 -507 32 A> 4513 3 2 2227 65980 -508 32 <A 1 4512 3 2 2228 65982 -510 <A 13 4512 3 2 2229 65983 -509 1 B> 13 4512 3 2 2230 65986 -506 1 33 B> 4512 3 2 2231 65987 -505 1 34 A> 4511 3 2 2232 65988 -506 1 34 <A 1 4510 3 2 2233 65992 -510 1 <A 15 4510 3 2 2234 65993 -511 <B 3 15 4510 3 2 2235 65994 -512 <A 2 3 15 4510 3 2 2236 65995 -511 1 B> 2 3 15 4510 3 2 2237 65996 -512 1 <B 4 3 15 4510 3 2 2238 65997 -511 3 B> 4 3 15 4510 3 2 2239 65998 -510 32 A> 3 15 4510 3 2 2240 65999 -511 32 <A 16 4510 3 2 >> Try to prove a PA-CTR with 2 Vars... 0 0 0 32 <A 11+V(2) 43+V(1) [*]* [*]* 1 2 -2 <A 13+V(2) 43+V(1) [*]* [*]* 2 3 -1 1 B> 13+V(2) 43+V(1) [*]* [*]* 3 6+V(2) 2+V(2) 1 33+V(2) B> 43+V(1) [*]* [*]* 4 7+V(2) 3+V(2) 1 34+V(2) A> 42+V(1) [*]* [*]* 5 8+V(2) 2+V(2) 1 34+V(2) <A 1 41+V(1) [*]* [*]* 6 12+2*V(2) -2 1 <A 15+V(2) 41+V(1) [*]* [*]* 7 13+2*V(2) -3 <B 3 15+V(2) 41+V(1) [*]* [*]* 8 14+2*V(2) -4 <A 2 3 15+V(2) 41+V(1) [*]* [*]* 9 15+2*V(2) -3 1 B> 2 3 15+V(2) 41+V(1) [*]* [*]* 10 16+2*V(2) -4 1 <B 4 3 15+V(2) 41+V(1) [*]* [*]* 11 17+2*V(2) -3 3 B> 4 3 15+V(2) 41+V(1) [*]* [*]* 12 18+2*V(2) -2 32 A> 3 15+V(2) 41+V(1) [*]* [*]* 13 19+2*V(2) -3 32 <A 16+V(2) 41+V(1) [*]* [*]* << Success! ==> defined new CTR 3 (PA) 2240 65999 -511 32 <A 16 4510 3 2 == Executing PA-CTR 3, V(1)=507, V(2)=5, repcount=254, factor=5/2 5542 394675 -1273 32 <A 11276 42 3 2 5543 394677 -1275 <A 11278 42 3 2 5544 394678 -1274 1 B> 11278 42 3 2 5545 395956 4 1 31278 B> 42 3 2 5546 395957 5 1 31279 A> 4 3 2 5547 395958 4 1 31279 <A 1 3 2 5548 397237 -1275 1 <A 11280 3 2 5549 397238 -1276 <B 3 11280 3 2 5550 397239 -1277 <A 2 3 11280 3 2 5551 397240 -1276 1 B> 2 3 11280 3 2 5552 397241 -1277 1 <B 4 3 11280 3 2 5553 397242 -1276 3 B> 4 3 11280 3 2 5554 397243 -1275 32 A> 3 11280 3 2 5555 397244 -1276 32 <A 11281 3 2 5556 397246 -1278 <A 11283 3 2 5557 397247 -1277 1 B> 11283 3 2 5558 398530 6 1 31283 B> 3 2 5559 398531 5 1 31283 <B 4 2 5560 399814 -1278 1 <B 41284 2 5561 399815 -1277 3 B> 41284 2 5562 399816 -1276 32 A> 41283 2 5563 399817 -1277 32 <A 1 41282 2 5564 399819 -1279 <A 13 41282 2 5565 399820 -1278 1 B> 13 41282 2 5566 399823 -1275 1 33 B> 41282 2 5567 399824 -1274 1 34 A> 41281 2 5568 399825 -1275 1 34 <A 1 41280 2 5569 399829 -1279 1 <A 15 41280 2 5570 399830 -1280 <B 3 15 41280 2 5571 399831 -1281 <A 2 3 15 41280 2 5572 399832 -1280 1 B> 2 3 15 41280 2 5573 399833 -1281 1 <B 4 3 15 41280 2 5574 399834 -1280 3 B> 4 3 15 41280 2 5575 399835 -1279 32 A> 3 15 41280 2 5576 399836 -1280 32 <A 16 41280 2 >> Try to prove a PA-CTR with 2 Vars... 0 0 0 32 <A 11+V(2) 43+V(1) [*]* 1 2 -2 <A 13+V(2) 43+V(1) [*]* 2 3 -1 1 B> 13+V(2) 43+V(1) [*]* 3 6+V(2) 2+V(2) 1 33+V(2) B> 43+V(1) [*]* 4 7+V(2) 3+V(2) 1 34+V(2) A> 42+V(1) [*]* 5 8+V(2) 2+V(2) 1 34+V(2) <A 1 41+V(1) [*]* 6 12+2*V(2) -2 1 <A 15+V(2) 41+V(1) [*]* 7 13+2*V(2) -3 <B 3 15+V(2) 41+V(1) [*]* 8 14+2*V(2) -4 <A 2 3 15+V(2) 41+V(1) [*]* 9 15+2*V(2) -3 1 B> 2 3 15+V(2) 41+V(1) [*]* 10 16+2*V(2) -4 1 <B 4 3 15+V(2) 41+V(1) [*]* 11 17+2*V(2) -3 3 B> 4 3 15+V(2) 41+V(1) [*]* 12 18+2*V(2) -2 32 A> 3 15+V(2) 41+V(1) [*]* 13 19+2*V(2) -3 32 <A 16+V(2) 41+V(1) [*]* << Success! ==> defined new CTR 4 (PA) 5576 399836 -1280 32 <A 16 41280 2 == Executing PA-CTR 4, V(1)=1277, V(2)=5, repcount=639, factor=5/2 13883 2456777 -3197 32 <A 13201 42 2 13884 2456779 -3199 <A 13203 42 2 13885 2456780 -3198 1 B> 13203 42 2 13886 2459983 5 1 33203 B> 42 2 13887 2459984 6 1 33204 A> 4 2 13888 2459985 5 1 33204 <A 1 2 13889 2463189 -3199 1 <A 13205 2 13890 2463190 -3200 <B 3 13205 2 13891 2463191 -3201 <A 2 3 13205 2 13892 2463192 -3200 1 B> 2 3 13205 2 13893 2463193 -3201 1 <B 4 3 13205 2 13894 2463194 -3200 3 B> 4 3 13205 2 13895 2463195 -3199 32 A> 3 13205 2 13896 2463196 -3200 32 <A 13206 2 13897 2463198 -3202 <A 13208 2 13898 2463199 -3201 1 B> 13208 2 13899 2466407 7 1 33208 B> 2 13900 2466408 6 1 33208 <B 4 13901 2469616 -3202 1 <B 43209 13902 2469617 -3201 3 B> 43209 13903 2469618 -3200 32 A> 43208 13904 2469619 -3201 32 <A 1 43207 >> Try to prove a PPA-CTR with 2 Vars... 0 0 0 31+V(1) <A 11+V(2) 42 2 1 1+V(1) -1+-1*V(1) <A 12+V(1)+V(2) 42 2 2 2+V(1) 0+-1*V(1) 1 B> 12+V(1)+V(2) 42 2 3 4+2*V(1)+V(2) 2+V(2) 1 32+V(1)+V(2) B> 42 2 4 5+2*V(1)+V(2) 3+V(2) 1 33+V(1)+V(2) A> 4 2 5 6+2*V(1)+V(2) 2+V(2) 1 33+V(1)+V(2) <A 1 2 6 9+3*V(1)+2*V(2) -1+-1*V(1) 1 <A 14+V(1)+V(2) 2 7 10+3*V(1)+2*V(2) -2+-1*V(1) <B 3 14+V(1)+V(2) 2 8 11+3*V(1)+2*V(2) -3+-1*V(1) <A 2 3 14+V(1)+V(2) 2 9 12+3*V(1)+2*V(2) -2+-1*V(1) 1 B> 2 3 14+V(1)+V(2) 2 10 13+3*V(1)+2*V(2) -3+-1*V(1) 1 <B 4 3 14+V(1)+V(2) 2 11 14+3*V(1)+2*V(2) -2+-1*V(1) 3 B> 4 3 14+V(1)+V(2) 2 12 15+3*V(1)+2*V(2) -1+-1*V(1) 32 A> 3 14+V(1)+V(2) 2 13 16+3*V(1)+2*V(2) -2+-1*V(1) 32 <A 15+V(1)+V(2) 2 14 18+3*V(1)+2*V(2) -4+-1*V(1) <A 17+V(1)+V(2) 2 15 19+3*V(1)+2*V(2) -3+-1*V(1) 1 B> 17+V(1)+V(2) 2 16 26+4*V(1)+3*V(2) 4+V(2) 1 37+V(1)+V(2) B> 2 17 27+4*V(1)+3*V(2) 3+V(2) 1 37+V(1)+V(2) <B 4 18 34+5*V(1)+4*V(2) -4+-1*V(1) 1 <B 48+V(1)+V(2) 19 35+5*V(1)+4*V(2) -3+-1*V(1) 3 B> 48+V(1)+V(2) 20 36+5*V(1)+4*V(2) -2+-1*V(1) 32 A> 47+V(1)+V(2) 21 37+5*V(1)+4*V(2) -3+-1*V(1) 32 <A 1 46+V(1)+V(2) << Success! ==> defined new CTR 5 (PPA) 13904 2469619 -3201 32 <A 1 43207 == Executing PA-CTR 1, V(1)=3204, V(2)=0, repcount=1603, factor=5/2 34743 15340106 -8010 32 <A 18016 4 34744 15340108 -8012 <A 18018 4 34745 15340109 -8011 1 B> 18018 4 34746 15348127 7 1 38018 B> 4 34747 15348128 8 1 38019 A> 34748 15348129 9 1 38019 1 B> 34749 15348130 8 1 38019 1 <A 2 34750 15348131 7 1 38019 <B 3 2 34751 15356150 -8012 1 <B 48019 3 2 34752 15356151 -8011 3 B> 48019 3 2 34753 15356152 -8010 32 A> 48018 3 2 34754 15356153 -8011 32 <A 1 48017 3 2 >> Try to prove a PPA-CTR with 2 Vars... 0 0 0 31+V(1) <A 13+V(2) 4 1 1+V(1) -1+-1*V(1) <A 14+V(1)+V(2) 4 2 2+V(1) 0+-1*V(1) 1 B> 14+V(1)+V(2) 4 3 6+2*V(1)+V(2) 4+V(2) 1 34+V(1)+V(2) B> 4 4 7+2*V(1)+V(2) 5+V(2) 1 35+V(1)+V(2) A> 5 8+2*V(1)+V(2) 6+V(2) 1 35+V(1)+V(2) 1 B> 6 9+2*V(1)+V(2) 5+V(2) 1 35+V(1)+V(2) 1 <A 2 7 10+2*V(1)+V(2) 4+V(2) 1 35+V(1)+V(2) <B 3 2 8 15+3*V(1)+2*V(2) -1+-1*V(1) 1 <B 45+V(1)+V(2) 3 2 9 16+3*V(1)+2*V(2) 0+-1*V(1) 3 B> 45+V(1)+V(2) 3 2 10 17+3*V(1)+2*V(2) 1+-1*V(1) 32 A> 44+V(1)+V(2) 3 2 11 18+3*V(1)+2*V(2) 0+-1*V(1) 32 <A 1 43+V(1)+V(2) 3 2 << Success! ==> defined new CTR 6 (PPA) 34754 15356153 -8011 32 <A 1 48017 3 2 == Executing PA-CTR 3, V(1)=8014, V(2)=0, repcount=4008, factor=5/2 86858 95732585 -20035 32 <A 120041 4 3 2 86859 95732587 -20037 <A 120043 4 3 2 86860 95732588 -20036 1 B> 120043 4 3 2 86861 95752631 7 1 320043 B> 4 3 2 86862 95752632 8 1 320044 A> 3 2 86863 95752633 7 1 320044 <A 1 2 86864 95772677 -20037 1 <A 120045 2 86865 95772678 -20038 <B 3 120045 2 86866 95772679 -20039 <A 2 3 120045 2 86867 95772680 -20038 1 B> 2 3 120045 2 86868 95772681 -20039 1 <B 4 3 120045 2 86869 95772682 -20038 3 B> 4 3 120045 2 86870 95772683 -20037 32 A> 3 120045 2 86871 95772684 -20038 32 <A 120046 2 86872 95772686 -20040 <A 120048 2 86873 95772687 -20039 1 B> 120048 2 86874 95792735 9 1 320048 B> 2 86875 95792736 8 1 320048 <B 4 86876 95812784 -20040 1 <B 420049 86877 95812785 -20039 3 B> 420049 86878 95812786 -20038 32 A> 420048 86879 95812787 -20039 32 <A 1 420047 >> Try to prove a PPA-CTR with 2 Vars... 0 0 0 31+V(1) <A 11+V(2) 4 3 2 1 1+V(1) -1+-1*V(1) <A 12+V(1)+V(2) 4 3 2 2 2+V(1) 0+-1*V(1) 1 B> 12+V(1)+V(2) 4 3 2 3 4+2*V(1)+V(2) 2+V(2) 1 32+V(1)+V(2) B> 4 3 2 4 5+2*V(1)+V(2) 3+V(2) 1 33+V(1)+V(2) A> 3 2 5 6+2*V(1)+V(2) 2+V(2) 1 33+V(1)+V(2) <A 1 2 6 9+3*V(1)+2*V(2) -1+-1*V(1) 1 <A 14+V(1)+V(2) 2 7 10+3*V(1)+2*V(2) -2+-1*V(1) <B 3 14+V(1)+V(2) 2 8 11+3*V(1)+2*V(2) -3+-1*V(1) <A 2 3 14+V(1)+V(2) 2 9 12+3*V(1)+2*V(2) -2+-1*V(1) 1 B> 2 3 14+V(1)+V(2) 2 10 13+3*V(1)+2*V(2) -3+-1*V(1) 1 <B 4 3 14+V(1)+V(2) 2 11 14+3*V(1)+2*V(2) -2+-1*V(1) 3 B> 4 3 14+V(1)+V(2) 2 12 15+3*V(1)+2*V(2) -1+-1*V(1) 32 A> 3 14+V(1)+V(2) 2 13 16+3*V(1)+2*V(2) -2+-1*V(1) 32 <A 15+V(1)+V(2) 2 14 18+3*V(1)+2*V(2) -4+-1*V(1) <A 17+V(1)+V(2) 2 15 19+3*V(1)+2*V(2) -3+-1*V(1) 1 B> 17+V(1)+V(2) 2 16 26+4*V(1)+3*V(2) 4+V(2) 1 37+V(1)+V(2) B> 2 17 27+4*V(1)+3*V(2) 3+V(2) 1 37+V(1)+V(2) <B 4 18 34+5*V(1)+4*V(2) -4+-1*V(1) 1 <B 48+V(1)+V(2) 19 35+5*V(1)+4*V(2) -3+-1*V(1) 3 B> 48+V(1)+V(2) 20 36+5*V(1)+4*V(2) -2+-1*V(1) 32 A> 47+V(1)+V(2) 21 37+5*V(1)+4*V(2) -3+-1*V(1) 32 <A 1 46+V(1)+V(2) << Success! ==> defined new CTR 7 (PPA) 86879 95812787 -20039 32 <A 1 420047 == Executing PA-CTR 1, V(1)=20044, V(2)=0, repcount=10023, factor=5/2 217178 598255754 -50108 32 <A 150116 4 == Executing PPA-CTR 6 (once), V(1)=1, V(2)=50113 217189 598356001 -50109 32 <A 1 450117 3 2 == Executing PA-CTR 3, V(1)=50114, V(2)=0, repcount=25058, factor=5/2 542943 3738223633 -125283 32 <A 1125291 4 3 2 == Executing PPA-CTR 7 (once), V(1)=1, V(2)=125290 542964 3738724835 -125287 32 <A 1 4125297 == Executing PA-CTR 1, V(1)=125294, V(2)=0, repcount=62648, factor=5/2 1357388 23363461427 -313231 32 <A 1313241 4 == Executing PPA-CTR 6 (once), V(1)=1, V(2)=313238 1357399 23364087924 -313232 32 <A 1 4313242 3 2 == Executing PA-CTR 3, V(1)=313239, V(2)=0, repcount=156620, factor=5/2 3393459 146015402604 -783092 32 <A 1783101 42 3 2 3393460 146015402606 -783094 <A 1783103 42 3 2 3393461 146015402607 -783093 1 B> 1783103 42 3 2 3393462 146016185710 10 1 3783103 B> 42 3 2 3393463 146016185711 11 1 3783104 A> 4 3 2 3393464 146016185712 10 1 3783104 <A 1 3 2 3393465 146016968816 -783094 1 <A 1783105 3 2 3393466 146016968817 -783095 <B 3 1783105 3 2 3393467 146016968818 -783096 <A 2 3 1783105 3 2 3393468 146016968819 -783095 1 B> 2 3 1783105 3 2 3393469 146016968820 -783096 1 <B 4 3 1783105 3 2 3393470 146016968821 -783095 3 B> 4 3 1783105 3 2 3393471 146016968822 -783094 32 A> 3 1783105 3 2 3393472 146016968823 -783095 32 <A 1783106 3 2 3393473 146016968825 -783097 <A 1783108 3 2 3393474 146016968826 -783096 1 B> 1783108 3 2 3393475 146017751934 12 1 3783108 B> 3 2 3393476 146017751935 11 1 3783108 <B 4 2 3393477 146018535043 -783097 1 <B 4783109 2 3393478 146018535044 -783096 3 B> 4783109 2 3393479 146018535045 -783095 32 A> 4783108 2 3393480 146018535046 -783096 32 <A 1 4783107 2 >> Try to prove a PPA-CTR with 2 Vars... 0 0 0 31+V(1) <A 11+V(2) 42 3 [*]* 1 1+V(1) -1+-1*V(1) <A 12+V(1)+V(2) 42 3 [*]* 2 2+V(1) 0+-1*V(1) 1 B> 12+V(1)+V(2) 42 3 [*]* 3 4+2*V(1)+V(2) 2+V(2) 1 32+V(1)+V(2) B> 42 3 [*]* 4 5+2*V(1)+V(2) 3+V(2) 1 33+V(1)+V(2) A> 4 3 [*]* 5 6+2*V(1)+V(2) 2+V(2) 1 33+V(1)+V(2) <A 1 3 [*]* 6 9+3*V(1)+2*V(2) -1+-1*V(1) 1 <A 14+V(1)+V(2) 3 [*]* 7 10+3*V(1)+2*V(2) -2+-1*V(1) <B 3 14+V(1)+V(2) 3 [*]* 8 11+3*V(1)+2*V(2) -3+-1*V(1) <A 2 3 14+V(1)+V(2) 3 [*]* 9 12+3*V(1)+2*V(2) -2+-1*V(1) 1 B> 2 3 14+V(1)+V(2) 3 [*]* 10 13+3*V(1)+2*V(2) -3+-1*V(1) 1 <B 4 3 14+V(1)+V(2) 3 [*]* 11 14+3*V(1)+2*V(2) -2+-1*V(1) 3 B> 4 3 14+V(1)+V(2) 3 [*]* 12 15+3*V(1)+2*V(2) -1+-1*V(1) 32 A> 3 14+V(1)+V(2) 3 [*]* 13 16+3*V(1)+2*V(2) -2+-1*V(1) 32 <A 15+V(1)+V(2) 3 [*]* 14 18+3*V(1)+2*V(2) -4+-1*V(1) <A 17+V(1)+V(2) 3 [*]* 15 19+3*V(1)+2*V(2) -3+-1*V(1) 1 B> 17+V(1)+V(2) 3 [*]* 16 26+4*V(1)+3*V(2) 4+V(2) 1 37+V(1)+V(2) B> 3 [*]* 17 27+4*V(1)+3*V(2) 3+V(2) 1 37+V(1)+V(2) <B 4 [*]* 18 34+5*V(1)+4*V(2) -4+-1*V(1) 1 <B 48+V(1)+V(2) [*]* 19 35+5*V(1)+4*V(2) -3+-1*V(1) 3 B> 48+V(1)+V(2) [*]* 20 36+5*V(1)+4*V(2) -2+-1*V(1) 32 A> 47+V(1)+V(2) [*]* 21 37+5*V(1)+4*V(2) -3+-1*V(1) 32 <A 1 46+V(1)+V(2) [*]* << Success! ==> defined new CTR 8 (PPA) 3393480 146018535046 -783096 32 <A 1 4783107 2 == Executing PA-CTR 4, V(1)=783104, V(2)=0, repcount=391553, factor=5/2 8483669 912592775833 -1957755 32 <A 11957766 4 2 8483670 912592775835 -1957757 <A 11957768 4 2 8483671 912592775836 -1957756 1 B> 11957768 4 2 8483672 912594733604 12 1 31957768 B> 4 2 8483673 912594733605 13 1 31957769 A> 2 8483674 912594733606 14 1 31957769 1 Z> 8483674 912594733606 14 1 31957769 1 Z> [stop] Lines: 253 Top steps: 251 Macro steps: 8483674 Basic steps: 912594733606 Tape index: 14 nonzeros: 1957771 log10(nonzeros): 6.292 log10(steps ): 11.960 Run state: stop
Input to awk program: gohalt 1 nbs 5 T 2-state 5-symbol TM #f (G. Lafitte & C. Papazian) 5T B1R B3L Z1R A1L A1L A2L B3R B4L B4L A3R : 1,957,771 912,594,733,606 L 48 M 300 pref sim machv Laf25_f just simple machv Laf25_f-r with repetitions reduced machv Laf25_f-1 with tape symbol exponents machv Laf25_f-m as 1-macro machine machv Laf25_f-a as 1-macro machine with pure additive config-TRs iam Laf25_f-a mtype 1 mmtyp 3 r 1 H 1 mac 0 E 2 sympr HM 1 date Tue Jul 6 22:12:02 CEST 2010 edate Tue Jul 6 22:12:03 CEST 2010 bnspeed 1Start: Tue Jul 6 22:12:02 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;