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 | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Move | Goto | Move | Goto | 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 |
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
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 1Start: Tue Jul 6 22:11:51 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;