Tool Bounds
stdout:
YES(?,O(n^1))
We consider the following Problem:
Strict Trs:
{ 5(0(0(0(3(5(5(5(4(0(0(5(5(2(0(2(4(0(0(0(4(1(5(0(4(1(5(5(4(x1)))))))))))))))))))))))))))))
->
5(0(0(0(3(5(5(5(4(0(0(5(5(2(2(0(4(0(0(0(4(1(5(4(0(1(5(5(4(x1)))))))))))))))))))))))))))))
, 4(5(2(5(5(0(5(5(4(1(2(1(0(5(3(1(2(3(0(2(5(0(0(1(1(3(4(0(1(x1)))))))))))))))))))))))))))))
->
4(5(2(5(5(0(5(5(4(1(2(1(0(5(1(3(2(3(0(2(5(0(0(1(1(3(4(0(1(x1)))))))))))))))))))))))))))))
, 4(2(4(1(1(1(3(1(0(5(4(1(3(0(3(0(2(0(2(2(5(0(2(1(2(1(2(0(3(x1)))))))))))))))))))))))))))))
->
4(2(4(1(1(3(1(2(1(4(0(3(1(3(5(2(0(0(0(0(5(0(2(2(2(1(1(2(3(x1)))))))))))))))))))))))))))))
, 5(3(4(4(3(4(0(4(5(3(3(4(2(4(5(2(2(2(2(0(2(0(1(2(1(3(2(0(x1))))))))))))))))))))))))))))
->
5(3(4(4(3(4(0(5(4(3(3(4(2(4(5(2(2(2(2(0(2(0(1(2(1(3(2(0(x1))))))))))))))))))))))))))))
, 2(5(4(2(5(3(2(3(3(4(5(5(2(1(5(1(3(1(0(2(3(5(4(0(2(5(1(5(x1))))))))))))))))))))))))))))
->
2(5(5(4(3(2(3(5(4(5(2(3(2(5(1(5(1(4(2(1(1(2(5(3(3(0(0(5(x1))))))))))))))))))))))))))))
, 2(5(2(0(0(3(1(1(4(1(0(3(4(4(4(3(5(0(5(4(0(3(5(3(4(4(2(3(x1))))))))))))))))))))))))))))
->
2(5(2(0(0(3(1(1(3(4(1(0(4(4(4(3(5(0(5(4(3(0(3(5(4(4(2(3(x1))))))))))))))))))))))))))))
, 5(2(0(0(1(3(0(5(3(1(4(4(0(5(3(5(5(2(3(4(3(5(0(0(4(3(3(x1)))))))))))))))))))))))))))
->
5(2(0(0(1(3(0(5(3(1(4(4(0(5(5(3(5(2(3(4(3(5(0(0(4(3(3(x1)))))))))))))))))))))))))))
, 0(1(0(0(0(5(4(5(4(5(2(2(4(0(5(5(2(2(2(4(2(3(0(4(5(3(0(x1)))))))))))))))))))))))))))
->
0(1(0(0(0(5(4(5(4(5(2(2(4(0(5(5(2(2(4(2(2(3(0(4(5(3(0(x1)))))))))))))))))))))))))))
, 4(2(4(0(2(0(0(1(4(4(4(2(1(0(0(4(5(4(2(4(2(1(1(1(1(3(x1))))))))))))))))))))))))))
->
4(2(4(0(2(0(0(1(4(4(4(2(1(0(0(4(5(2(4(4(2(1(1(1(1(3(x1))))))))))))))))))))))))))
, 4(5(5(5(4(2(1(4(2(1(2(1(5(1(0(0(0(0(5(4(1(3(4(5(1(x1)))))))))))))))))))))))))
->
4(5(5(5(4(2(1(4(2(1(2(1(5(1(0(0(0(0(5(4(1(4(3(5(1(x1)))))))))))))))))))))))))
, 3(3(0(4(4(3(3(1(3(0(3(5(4(1(0(1(0(5(2(3(4(1(3(4(1(x1)))))))))))))))))))))))))
->
3(3(0(4(4(3(3(1(3(3(0(5(4(1(0(1(0(5(2(3(4(1(3(4(1(x1)))))))))))))))))))))))))
, 3(0(1(2(2(1(2(1(5(4(1(3(5(4(2(4(0(3(3(3(1(3(5(1(x1))))))))))))))))))))))))
->
3(0(1(2(2(1(2(1(5(4(1(3(4(5(2(4(0(3(3(3(1(3(5(1(x1))))))))))))))))))))))))
, 5(0(4(1(0(1(0(3(1(1(0(3(3(4(5(5(2(5(0(3(1(0(2(x1)))))))))))))))))))))))
->
5(0(1(4(0(1(0(3(1(1(0(3(3(5(4(5(2(5(0(3(1(0(2(x1)))))))))))))))))))))))
, 2(4(4(3(3(3(0(3(1(3(2(5(3(2(0(3(1(3(3(3(1(3(2(x1)))))))))))))))))))))))
->
2(4(3(4(3(3(0(3(3(5(2(1(2(3(0(3(1(3(3(3(1(3(2(x1)))))))))))))))))))))))
, 4(2(1(0(2(0(1(3(3(1(4(0(1(4(4(4(3(5(5(0(4(5(x1))))))))))))))))))))))
->
4(2(1(0(0(2(1(3(3(1(4(0(1(4(4(4(3(5(5(0(4(5(x1))))))))))))))))))))))
, 0(1(1(4(3(2(3(3(5(5(4(5(3(3(4(1(2(0(3(0(4(0(x1))))))))))))))))))))))
->
0(1(1(4(3(2(3(3(5(5(4(5(3(3(1(4(2(0(3(0(4(0(x1))))))))))))))))))))))
, 3(4(4(5(1(2(1(0(4(4(0(1(3(4(4(3(5(2(1(1(1(x1)))))))))))))))))))))
->
3(4(4(5(2(1(0(1(4(4(4(0(1(4(3(3(1(1(5(2(1(x1)))))))))))))))))))))
, 2(5(5(2(0(3(1(2(3(4(5(3(4(2(3(3(1(4(1(1(4(x1)))))))))))))))))))))
->
2(5(5(2(0(3(1(2(4(3(5(3(4(2(3(3(1(4(1(1(4(x1)))))))))))))))))))))
, 1(2(2(0(3(2(3(2(3(0(1(5(0(0(5(5(3(0(5(3(x1)))))))))))))))))))) ->
1(2(2(0(3(2(3(2(3(0(1(5(0(5(0(5(3(0(5(3(x1))))))))))))))))))))
, 0(3(5(4(5(5(3(4(4(1(2(1(2(2(0(1(2(4(2(4(x1)))))))))))))))))))) ->
0(3(5(4(5(3(5(4(4(1(1(2(2(1(2(0(2(4(2(4(x1))))))))))))))))))))
, 0(1(2(0(0(0(0(0(2(3(4(4(4(5(1(5(5(5(5(x1))))))))))))))))))) ->
0(4(0(1(5(2(4(3(0(0(0(4(5(5(5(5(2(1(0(x1)))))))))))))))))))
, 0(0(5(1(5(3(4(2(5(5(1(5(1(0(2(0(4(1(x1)))))))))))))))))) ->
0(0(5(1(5(3(4(2(5(5(1(5(1(0(0(2(4(1(x1))))))))))))))))))
, 0(5(0(4(2(4(0(1(1(3(2(1(0(5(0(3(1(x1))))))))))))))))) ->
0(5(0(4(2(4(0(1(1(3(2(1(0(0(5(3(1(x1)))))))))))))))))
, 1(3(3(2(4(2(2(2(1(5(2(0(5(5(4(5(x1)))))))))))))))) ->
1(3(3(2(4(2(2(2(1(5(2(5(0(5(4(5(x1))))))))))))))))
, 1(1(4(0(3(4(1(0(1(1(2(0(3(2(0(4(x1)))))))))))))))) ->
1(1(0(1(4(4(0(1(3(1(0(0(3(2(2(4(x1))))))))))))))))
, 5(0(3(4(1(5(5(0(0(0(3(4(4(1(1(x1))))))))))))))) ->
3(4(0(0(1(4(3(5(5(5(1(0(0(4(1(x1)))))))))))))))
, 3(5(3(3(2(5(0(0(2(2(0(4(1(4(5(x1))))))))))))))) ->
3(5(3(3(2(5(0(0(2(2(4(0(1(4(5(x1)))))))))))))))
, 3(1(4(0(4(1(0(2(0(0(3(0(4(5(x1)))))))))))))) ->
3(1(4(0(1(4(0(2(0(0(3(0(4(5(x1))))))))))))))
, 2(5(1(2(0(0(5(1(5(0(4(2(5(4(x1)))))))))))))) ->
2(5(2(1(0(5(5(1(0(4(0(2(5(4(x1))))))))))))))
, 1(0(1(0(5(5(2(2(5(1(0(0(5(4(x1)))))))))))))) ->
1(0(1(0(5(5(2(2(1(5(0(0(5(4(x1))))))))))))))
, 5(3(1(2(5(0(5(3(3(4(5(3(x1)))))))))))) ->
2(4(4(2(2(4(2(0(3(2(x1))))))))))
, 5(3(0(5(0(4(1(0(4(4(1(1(x1)))))))))))) ->
2(1(5(0(2(0(3(2(3(3(x1))))))))))
, 5(2(0(4(5(0(5(5(1(0(1(0(x1)))))))))))) ->
1(1(4(4(3(1(2(2(4(2(x1))))))))))
, 2(1(4(5(0(4(0(1(0(1(2(0(x1)))))))))))) ->
2(1(4(5(0(4(0(0(1(1(2(0(x1))))))))))))
, 1(0(0(3(4(1(0(4(1(2(0(4(x1)))))))))))) ->
3(0(0(0(2(2(2(2(3(0(x1))))))))))
, 0(0(1(5(3(5(2(4(0(5(3(4(x1)))))))))))) ->
1(2(5(0(1(2(1(3(4(4(x1))))))))))
, 5(4(4(0(2(4(3(1(3(0(5(x1))))))))))) ->
4(2(5(3(3(5(3(0(4(0(x1))))))))))
, 5(3(0(0(0(0(3(2(5(2(1(x1))))))))))) ->
2(4(1(5(5(2(4(3(1(0(x1))))))))))
, 5(2(4(0(5(1(4(0(5(1(5(x1))))))))))) ->
4(3(3(4(4(4(4(5(0(1(x1))))))))))
, 5(1(4(0(5(5(2(3(5(0(0(x1))))))))))) ->
5(3(3(1(4(3(0(2(3(4(x1))))))))))
, 5(1(0(0(5(3(3(0(4(3(4(x1))))))))))) ->
3(0(5(2(0(0(1(1(1(5(x1))))))))))
, 5(0(0(5(1(3(4(3(5(1(3(x1))))))))))) ->
3(1(3(5(2(2(4(3(3(0(x1))))))))))
, 4(5(5(2(3(4(5(1(1(0(5(x1))))))))))) ->
0(3(0(1(2(3(3(4(2(3(x1))))))))))
, 4(4(2(0(1(5(5(2(0(0(5(x1))))))))))) ->
3(3(2(0(3(4(5(1(5(4(x1))))))))))
, 4(4(1(2(3(2(2(0(4(2(5(x1))))))))))) ->
0(4(1(4(2(2(4(5(3(5(x1))))))))))
, 4(3(5(5(0(1(0(1(1(0(1(x1))))))))))) ->
2(0(5(2(0(1(1(5(5(1(x1))))))))))
, 4(2(2(1(0(4(4(5(0(4(5(x1))))))))))) ->
3(5(5(2(0(4(5(2(5(5(x1))))))))))
, 4(1(4(0(0(4(4(5(3(0(0(x1))))))))))) ->
1(4(5(5(5(4(5(3(3(0(x1))))))))))
, 4(1(0(3(5(4(4(3(3(4(5(x1))))))))))) ->
5(3(0(0(1(4(5(5(2(0(x1))))))))))
, 3(4(0(3(3(5(5(1(4(5(3(x1))))))))))) ->
1(5(0(3(2(0(4(4(1(3(x1))))))))))
, 3(3(1(2(3(1(2(1(0(1(2(x1))))))))))) ->
0(3(0(4(0(2(5(1(3(5(x1))))))))))
, 3(2(2(3(2(0(3(0(2(1(4(x1))))))))))) ->
5(4(2(2(4(3(5(3(0(5(x1))))))))))
, 3(2(0(5(4(2(5(0(4(2(1(x1))))))))))) ->
3(2(3(5(2(5(5(5(1(4(x1))))))))))
, 3(1(5(1(5(0(5(1(3(4(2(x1))))))))))) ->
5(4(3(4(0(3(4(0(0(3(x1))))))))))
, 3(1(3(5(4(4(0(5(1(0(0(x1))))))))))) ->
4(3(5(1(2(2(0(1(2(5(x1))))))))))
, 3(1(0(4(1(1(3(3(2(3(4(x1))))))))))) ->
1(1(5(3(5(2(1(2(3(5(x1))))))))))
, 3(0(1(2(0(0(2(0(5(2(5(x1))))))))))) ->
0(4(1(3(4(5(3(1(0(4(x1))))))))))
, 2(5(3(5(3(4(5(0(0(0(2(x1))))))))))) ->
0(5(1(3(1(0(1(1(4(2(x1))))))))))
, 2(1(4(3(3(1(0(5(2(5(1(x1))))))))))) ->
1(3(4(5(5(4(0(0(2(1(x1))))))))))
, 1(5(2(4(2(0(0(1(0(5(0(x1))))))))))) ->
1(1(2(3(4(0(1(5(4(1(x1))))))))))
, 1(4(4(4(2(4(1(3(5(0(2(x1))))))))))) ->
3(0(5(2(4(1(2(0(2(5(x1))))))))))
, 1(4(4(1(0(4(2(5(0(3(2(x1))))))))))) ->
3(3(5(3(2(3(0(3(1(2(x1))))))))))
, 1(4(2(4(5(2(3(1(0(1(4(x1))))))))))) ->
4(0(1(0(3(4(4(1(1(0(x1))))))))))
, 1(4(2(0(1(5(4(5(4(3(1(x1))))))))))) ->
2(3(2(5(5(5(5(0(0(4(x1))))))))))
, 1(3(4(5(0(3(3(2(1(4(3(x1))))))))))) ->
4(5(1(0(3(3(4(2(3(4(x1))))))))))
, 1(3(4(2(0(5(2(0(4(4(4(x1))))))))))) ->
3(0(1(3(0(1(0(2(3(5(x1))))))))))
, 1(3(0(2(0(5(0(0(1(1(4(x1))))))))))) ->
5(2(4(0(0(5(3(0(3(0(x1))))))))))
, 1(3(0(1(5(5(3(3(5(3(3(x1))))))))))) ->
5(2(1(3(0(2(5(5(2(0(x1))))))))))
, 1(2(4(5(5(3(2(4(1(1(5(x1))))))))))) ->
3(4(1(5(3(1(1(4(0(3(x1))))))))))
, 1(1(2(5(1(4(2(5(5(2(4(x1))))))))))) ->
0(2(2(2(5(3(1(1(0(4(x1))))))))))
, 1(0(2(3(2(3(3(0(3(2(0(x1))))))))))) ->
3(2(2(3(5(5(1(4(0(1(x1))))))))))
, 1(0(0(2(2(3(5(0(2(0(4(x1))))))))))) ->
2(1(1(3(5(2(2(5(4(4(x1))))))))))
, 0(4(5(2(5(5(4(3(5(1(0(x1))))))))))) ->
5(3(4(5(5(3(3(5(4(4(x1))))))))))
, 0(3(1(4(0(1(2(0(3(5(0(x1))))))))))) ->
1(5(4(0(2(5(3(4(3(4(x1))))))))))
, 0(3(1(3(4(4(4(1(2(5(2(x1))))))))))) ->
1(4(3(2(2(1(1(1(3(4(x1))))))))))
, 0(1(5(2(0(5(3(3(0(2(2(x1))))))))))) ->
4(1(5(3(0(3(0(2(0(4(x1))))))))))
, 0(0(5(1(0(0(5(4(3(4(1(x1))))))))))) ->
2(1(4(0(1(5(4(3(4(2(x1))))))))))
, 0(0(0(4(5(5(2(4(5(1(3(x1))))))))))) ->
3(1(3(5(4(2(5(1(1(1(x1))))))))))
, 5(0(1(5(1(2(2(1(4(1(x1)))))))))) ->
5(0(1(1(5(2(2(1(4(1(x1))))))))))
, 4(2(2(2(2(4(4(4(1(3(x1)))))))))) ->
4(5(5(0(3(5(0(2(5(1(x1))))))))))
, 3(5(2(1(2(0(5(4(2(4(x1)))))))))) ->
3(5(2(1(2(5(0(4(2(4(x1))))))))))
, 1(2(2(5(1(1(2(4(2(0(x1)))))))))) ->
2(4(1(5(4(3(4(1(3(0(x1))))))))))
, 1(0(0(2(2(2(5(2(3(3(x1)))))))))) ->
0(1(2(3(0(0(5(5(4(3(x1))))))))))
, 1(4(4(3(4(2(3(0(0(x1))))))))) -> 1(4(3(0(4(3(2(4(0(x1)))))))))
, 1(1(1(2(4(4(5(1(x1)))))))) -> 1(1(1(5(1(4(4(2(x1))))))))
, 0(3(1(2(1(2(0(4(x1)))))))) -> 0(3(0(1(2(2(1(4(x1))))))))
, 4(3(4(1(2(4(4(x1))))))) -> 4(4(1(4(3(2(4(x1)))))))
, 3(1(2(4(5(3(3(x1))))))) -> 3(1(5(4(2(3(3(x1)))))))
, 0(3(3(2(0(2(2(x1))))))) -> 0(3(2(3(2(0(2(x1)))))))
, 0(0(1(2(3(3(1(x1))))))) -> 0(0(1(3(2(3(1(x1)))))))}
StartTerms: all
Strategy: none
Certificate: YES(?,O(n^1))
Proof:
The problem is match-bounded by 1.
The enriched problem is compatible with the following automaton:
{ 1_0(1) -> 1
, 1_1(1) -> 57
, 1_1(2) -> 57
, 1_1(3) -> 57
, 1_1(23) -> 22
, 1_1(27) -> 26
, 1_1(28) -> 627
, 1_1(29) -> 403
, 1_1(39) -> 38
, 1_1(41) -> 40
, 1_1(44) -> 43
, 1_1(53) -> 52
, 1_1(54) -> 53
, 1_1(55) -> 762
, 1_1(57) -> 794
, 1_1(60) -> 59
, 1_1(61) -> 60
, 1_1(63) -> 62
, 1_1(65) -> 64
, 1_1(69) -> 68
, 1_1(82) -> 81
, 1_1(83) -> 82
, 1_1(84) -> 230
, 1_1(106) -> 105
, 1_1(108) -> 107
, 1_1(109) -> 577
, 1_1(110) -> 311
, 1_1(125) -> 124
, 1_1(127) -> 126
, 1_1(130) -> 129
, 1_1(131) -> 130
, 1_1(137) -> 613
, 1_1(142) -> 141
, 1_1(143) -> 142
, 1_1(146) -> 145
, 1_1(164) -> 163
, 1_1(169) -> 168
, 1_1(185) -> 57
, 1_1(186) -> 185
, 1_1(209) -> 806
, 1_1(214) -> 213
, 1_1(219) -> 218
, 1_1(228) -> 227
, 1_1(229) -> 228
, 1_1(230) -> 229
, 1_1(235) -> 234
, 1_1(238) -> 237
, 1_1(240) -> 239
, 1_1(242) -> 241
, 1_1(249) -> 248
, 1_1(250) -> 293
, 1_1(252) -> 722
, 1_1(259) -> 258
, 1_1(265) -> 264
, 1_1(267) -> 266
, 1_1(273) -> 272
, 1_1(274) -> 403
, 1_1(276) -> 275
, 1_1(279) -> 278
, 1_1(281) -> 280
, 1_1(284) -> 283
, 1_1(294) -> 3
, 1_1(297) -> 296
, 1_1(300) -> 299
, 1_1(301) -> 300
, 1_1(311) -> 728
, 1_1(312) -> 311
, 1_1(313) -> 722
, 1_1(324) -> 323
, 1_1(329) -> 328
, 1_1(333) -> 332
, 1_1(334) -> 58
, 1_1(338) -> 337
, 1_1(341) -> 340
, 1_1(344) -> 343
, 1_1(351) -> 526
, 1_1(352) -> 186
, 1_1(364) -> 363
, 1_1(368) -> 539
, 1_1(374) -> 373
, 1_1(376) -> 375
, 1_1(381) -> 380
, 1_1(385) -> 384
, 1_1(386) -> 385
, 1_1(391) -> 390
, 1_1(401) -> 400
, 1_1(403) -> 402
, 1_1(404) -> 1
, 1_1(404) -> 29
, 1_1(404) -> 57
, 1_1(404) -> 84
, 1_1(404) -> 110
, 1_1(404) -> 135
, 1_1(404) -> 137
, 1_1(404) -> 230
, 1_1(404) -> 274
, 1_1(404) -> 310
, 1_1(404) -> 311
, 1_1(404) -> 313
, 1_1(404) -> 385
, 1_1(404) -> 386
, 1_1(404) -> 387
, 1_1(404) -> 402
, 1_1(404) -> 403
, 1_1(404) -> 481
, 1_1(404) -> 607
, 1_1(404) -> 613
, 1_1(404) -> 655
, 1_1(404) -> 683
, 1_1(404) -> 696
, 1_1(404) -> 722
, 1_1(404) -> 751
, 1_1(404) -> 793
, 1_1(404) -> 794
, 1_1(404) -> 797
, 1_1(414) -> 413
, 1_1(422) -> 252
, 1_1(430) -> 429
, 1_1(431) -> 430
, 1_1(434) -> 433
, 1_1(438) -> 82
, 1_1(441) -> 440
, 1_1(456) -> 455
, 1_1(463) -> 462
, 1_1(465) -> 464
, 1_1(469) -> 57
, 1_1(474) -> 473
, 1_1(475) -> 474
, 1_1(478) -> 477
, 1_1(482) -> 57
, 1_1(489) -> 488
, 1_1(490) -> 800
, 1_1(494) -> 404
, 1_1(496) -> 495
, 1_1(500) -> 499
, 1_1(502) -> 501
, 1_1(508) -> 507
, 1_1(514) -> 513
, 1_1(527) -> 252
, 1_1(530) -> 529
, 1_1(536) -> 138
, 1_1(540) -> 539
, 1_1(545) -> 544
, 1_1(551) -> 550
, 1_1(556) -> 363
, 1_1(559) -> 111
, 1_1(568) -> 567
, 1_1(570) -> 703
, 1_1(577) -> 576
, 1_1(585) -> 584
, 1_1(587) -> 586
, 1_1(592) -> 314
, 1_1(603) -> 602
, 1_1(607) -> 780
, 1_1(612) -> 611
, 1_1(613) -> 612
, 1_1(620) -> 619
, 1_1(628) -> 439
, 1_1(633) -> 665
, 1_1(634) -> 57
, 1_1(638) -> 637
, 1_1(639) -> 638
, 1_1(644) -> 688
, 1_1(653) -> 652
, 1_1(656) -> 3
, 1_1(685) -> 684
, 1_1(693) -> 692
, 1_1(697) -> 758
, 1_1(698) -> 697
, 1_1(699) -> 468
, 1_1(701) -> 700
, 1_1(703) -> 702
, 1_1(713) -> 712
, 1_1(715) -> 714
, 1_1(722) -> 794
, 1_1(724) -> 723
, 1_1(733) -> 550
, 1_1(735) -> 31
, 1_1(741) -> 740
, 1_1(745) -> 665
, 1_1(746) -> 161
, 1_1(749) -> 370
, 1_1(752) -> 751
, 1_1(753) -> 752
, 1_1(763) -> 559
, 1_1(779) -> 778
, 1_1(780) -> 779
, 1_1(781) -> 30
, 1_1(788) -> 787
, 1_1(794) -> 793
, 1_1(795) -> 294
, 1_1(796) -> 619
, 1_1(801) -> 800
, 1_1(813) -> 819
, 1_1(816) -> 494
, 1_1(818) -> 817
, 1_1(822) -> 454
, 3_0(1) -> 1
, 3_1(1) -> 84
, 3_1(2) -> 84
, 3_1(6) -> 5
, 3_1(29) -> 607
, 3_1(30) -> 250
, 3_1(45) -> 44
, 3_1(47) -> 46
, 3_1(55) -> 54
, 3_1(57) -> 481
, 3_1(58) -> 633
, 3_1(62) -> 61
, 3_1(68) -> 67
, 3_1(70) -> 69
, 3_1(84) -> 184
, 3_1(85) -> 2
, 3_1(88) -> 87
, 3_1(93) -> 92
, 3_1(94) -> 93
, 3_1(109) -> 108
, 3_1(110) -> 209
, 3_1(111) -> 633
, 3_1(115) -> 114
, 3_1(117) -> 116
, 3_1(122) -> 121
, 3_1(134) -> 133
, 3_1(135) -> 134
, 3_1(136) -> 671
, 3_1(137) -> 633
, 3_1(141) -> 140
, 3_1(144) -> 143
, 3_1(151) -> 150
, 3_1(156) -> 155
, 3_1(158) -> 157
, 3_1(160) -> 622
, 3_1(165) -> 164
, 3_1(168) -> 167
, 3_1(175) -> 174
, 3_1(178) -> 177
, 3_1(180) -> 179
, 3_1(185) -> 209
, 3_1(206) -> 205
, 3_1(209) -> 618
, 3_1(251) -> 250
, 3_1(252) -> 1
, 3_1(252) -> 29
, 3_1(252) -> 57
, 3_1(252) -> 82
, 3_1(252) -> 84
, 3_1(252) -> 108
, 3_1(252) -> 110
, 3_1(252) -> 135
, 3_1(252) -> 137
, 3_1(252) -> 184
, 3_1(252) -> 185
, 3_1(252) -> 209
, 3_1(252) -> 230
, 3_1(252) -> 251
, 3_1(252) -> 311
, 3_1(252) -> 333
, 3_1(252) -> 349
, 3_1(252) -> 403
, 3_1(252) -> 481
, 3_1(252) -> 570
, 3_1(252) -> 587
, 3_1(252) -> 588
, 3_1(252) -> 607
, 3_1(252) -> 618
, 3_1(252) -> 633
, 3_1(252) -> 721
, 3_1(252) -> 722
, 3_1(252) -> 780
, 3_1(252) -> 818
, 3_1(253) -> 252
, 3_1(257) -> 256
, 3_1(258) -> 257
, 3_1(260) -> 259
, 3_1(261) -> 260
, 3_1(271) -> 270
, 3_1(274) -> 273
, 3_1(275) -> 209
, 3_1(285) -> 284
, 3_1(291) -> 290
, 3_1(292) -> 291
, 3_1(293) -> 292
, 3_1(299) -> 298
, 3_1(303) -> 302
, 3_1(304) -> 303
, 3_1(311) -> 310
, 3_1(313) -> 333
, 3_1(315) -> 314
, 3_1(317) -> 316
, 3_1(318) -> 317
, 3_1(320) -> 319
, 3_1(321) -> 320
, 3_1(326) -> 325
, 3_1(328) -> 327
, 3_1(330) -> 329
, 3_1(331) -> 330
, 3_1(332) -> 331
, 3_1(339) -> 338
, 3_1(340) -> 339
, 3_1(348) -> 347
, 3_1(350) -> 535
, 3_1(354) -> 353
, 3_1(356) -> 355
, 3_1(357) -> 356
, 3_1(362) -> 361
, 3_1(363) -> 362
, 3_1(368) -> 367
, 3_1(383) -> 382
, 3_1(384) -> 383
, 3_1(390) -> 389
, 3_1(394) -> 393
, 3_1(396) -> 395
, 3_1(399) -> 398
, 3_1(400) -> 399
, 3_1(404) -> 84
, 3_1(408) -> 407
, 3_1(410) -> 409
, 3_1(412) -> 411
, 3_1(420) -> 419
, 3_1(422) -> 185
, 3_1(426) -> 425
, 3_1(434) -> 821
, 3_1(438) -> 814
, 3_1(445) -> 444
, 3_1(458) -> 457
, 3_1(468) -> 84
, 3_1(476) -> 475
, 3_1(482) -> 404
, 3_1(483) -> 482
, 3_1(494) -> 84
, 3_1(501) -> 500
, 3_1(505) -> 504
, 3_1(510) -> 509
, 3_1(517) -> 516
, 3_1(518) -> 517
, 3_1(534) -> 745
, 3_1(564) -> 563
, 3_1(567) -> 566
, 3_1(570) -> 790
, 3_1(588) -> 587
, 3_1(590) -> 589
, 3_1(591) -> 590
, 3_1(596) -> 30
, 3_1(597) -> 596
, 3_1(602) -> 85
, 3_1(605) -> 604
, 3_1(614) -> 527
, 3_1(622) -> 621
, 3_1(625) -> 624
, 3_1(651) -> 209
, 3_1(656) -> 84
, 3_1(658) -> 657
, 3_1(661) -> 804
, 3_1(670) -> 669
, 3_1(673) -> 672
, 3_1(678) -> 666
, 3_1(681) -> 680
, 3_1(689) -> 84
, 3_1(690) -> 689
, 3_1(694) -> 628
, 3_1(697) -> 696
, 3_1(700) -> 699
, 3_1(703) -> 362
, 3_1(710) -> 709
, 3_1(718) -> 717
, 3_1(720) -> 719
, 3_1(722) -> 721
, 3_1(726) -> 725
, 3_1(729) -> 111
, 3_1(733) -> 179
, 3_1(735) -> 84
, 3_1(737) -> 736
, 3_1(738) -> 737
, 3_1(739) -> 276
, 3_1(747) -> 746
, 3_1(751) -> 750
, 3_1(758) -> 757
, 3_1(760) -> 759
, 3_1(764) -> 763
, 3_1(767) -> 770
, 3_1(770) -> 769
, 3_1(775) -> 774
, 3_1(776) -> 646
, 3_1(783) -> 782
, 3_1(785) -> 784
, 3_1(799) -> 798
, 3_1(805) -> 804
, 3_1(808) -> 807
, 3_1(815) -> 814
, 3_1(823) -> 822
, 2_0(1) -> 1
, 2_1(1) -> 313
, 2_1(2) -> 564
, 2_1(15) -> 14
, 2_1(16) -> 15
, 2_1(28) -> 543
, 2_1(29) -> 438
, 2_1(30) -> 438
, 2_1(32) -> 31
, 2_1(40) -> 39
, 2_1(46) -> 45
, 2_1(49) -> 48
, 2_1(55) -> 523
, 2_1(57) -> 387
, 2_1(58) -> 30
, 2_1(64) -> 63
, 2_1(72) -> 71
, 2_1(79) -> 78
, 2_1(80) -> 79
, 2_1(81) -> 80
, 2_1(84) -> 83
, 2_1(85) -> 313
, 2_1(96) -> 95
, 2_1(99) -> 98
, 2_1(100) -> 99
, 2_1(101) -> 100
, 2_1(102) -> 101
, 2_1(104) -> 103
, 2_1(107) -> 106
, 2_1(110) -> 109
, 2_1(111) -> 1
, 2_1(111) -> 29
, 2_1(111) -> 57
, 2_1(111) -> 110
, 2_1(111) -> 135
, 2_1(111) -> 137
, 2_1(111) -> 208
, 2_1(111) -> 311
, 2_1(111) -> 313
, 2_1(111) -> 346
, 2_1(111) -> 387
, 2_1(111) -> 403
, 2_1(111) -> 421
, 2_1(111) -> 438
, 2_1(111) -> 464
, 2_1(111) -> 480
, 2_1(111) -> 543
, 2_1(111) -> 644
, 2_1(111) -> 670
, 2_1(111) -> 703
, 2_1(111) -> 722
, 2_1(111) -> 748
, 2_1(111) -> 797
, 2_1(111) -> 812
, 2_1(116) -> 115
, 2_1(121) -> 120
, 2_1(123) -> 122
, 2_1(129) -> 128
, 2_1(132) -> 131
, 2_1(137) -> 644
, 2_1(138) -> 112
, 2_1(161) -> 2
, 2_1(177) -> 176
, 2_1(184) -> 564
, 2_1(185) -> 438
, 2_1(187) -> 313
, 2_1(195) -> 194
, 2_1(196) -> 195
, 2_1(201) -> 200
, 2_1(202) -> 201
, 2_1(204) -> 203
, 2_1(205) -> 204
, 2_1(209) -> 582
, 2_1(211) -> 210
, 2_1(218) -> 217
, 2_1(224) -> 223
, 2_1(227) -> 226
, 2_1(234) -> 233
, 2_1(237) -> 236
, 2_1(239) -> 238
, 2_1(251) -> 644
, 2_1(252) -> 313
, 2_1(270) -> 269
, 2_1(274) -> 467
, 2_1(277) -> 276
, 2_1(278) -> 277
, 2_1(280) -> 279
, 2_1(288) -> 287
, 2_1(308) -> 307
, 2_1(311) -> 453
, 2_1(312) -> 434
, 2_1(314) -> 438
, 2_1(323) -> 322
, 2_1(325) -> 324
, 2_1(337) -> 336
, 2_1(349) -> 490
, 2_1(355) -> 354
, 2_1(366) -> 365
, 2_1(369) -> 815
, 2_1(373) -> 372
, 2_1(387) -> 620
, 2_1(388) -> 113
, 2_1(392) -> 391
, 2_1(398) -> 397
, 2_1(403) -> 797
, 2_1(404) -> 313
, 2_1(405) -> 404
, 2_1(406) -> 405
, 2_1(409) -> 408
, 2_1(411) -> 410
, 2_1(432) -> 431
, 2_1(433) -> 432
, 2_1(435) -> 434
, 2_1(436) -> 568
, 2_1(437) -> 436
, 2_1(438) -> 505
, 2_1(443) -> 442
, 2_1(460) -> 459
, 2_1(471) -> 470
, 2_1(477) -> 476
, 2_1(481) -> 823
, 2_1(484) -> 483
, 2_1(486) -> 485
, 2_1(487) -> 486
, 2_1(488) -> 487
, 2_1(491) -> 490
, 2_1(494) -> 313
, 2_1(519) -> 518
, 2_1(523) -> 522
, 2_1(524) -> 523
, 2_1(533) -> 532
, 2_1(534) -> 30
, 2_1(535) -> 204
, 2_1(543) -> 765
, 2_1(544) -> 313
, 2_1(546) -> 313
, 2_1(549) -> 548
, 2_1(550) -> 549
, 2_1(555) -> 554
, 2_1(556) -> 555
, 2_1(558) -> 557
, 2_1(562) -> 561
, 2_1(569) -> 568
, 2_1(570) -> 569
, 2_1(580) -> 579
, 2_1(581) -> 580
, 2_1(582) -> 581
, 2_1(586) -> 585
, 2_1(587) -> 606
, 2_1(595) -> 594
, 2_1(607) -> 606
, 2_1(609) -> 608
, 2_1(616) -> 615
, 2_1(617) -> 616
, 2_1(621) -> 620
, 2_1(623) -> 253
, 2_1(630) -> 629
, 2_1(631) -> 630
, 2_1(633) -> 693
, 2_1(636) -> 635
, 2_1(641) -> 640
, 2_1(645) -> 644
, 2_1(654) -> 748
, 2_1(659) -> 658
, 2_1(664) -> 663
, 2_1(667) -> 666
, 2_1(668) -> 667
, 2_1(672) -> 252
, 2_1(675) -> 674
, 2_1(686) -> 685
, 2_1(687) -> 686
, 2_1(692) -> 691
, 2_1(698) -> 786
, 2_1(709) -> 494
, 2_1(716) -> 715
, 2_1(719) -> 718
, 2_1(730) -> 729
, 2_1(735) -> 30
, 2_1(749) -> 313
, 2_1(754) -> 185
, 2_1(755) -> 754
, 2_1(756) -> 755
, 2_1(759) -> 672
, 2_1(766) -> 765
, 2_1(767) -> 766
, 2_1(773) -> 772
, 2_1(777) -> 776
, 2_1(778) -> 777
, 2_1(781) -> 313
, 2_1(792) -> 791
, 2_1(797) -> 796
, 2_1(800) -> 516
, 2_1(802) -> 801
, 2_1(804) -> 269
, 2_1(806) -> 106
, 2_1(807) -> 186
, 2_1(821) -> 422
, 0_0(1) -> 1
, 0_1(1) -> 110
, 0_1(2) -> 110
, 0_1(3) -> 2
, 0_1(4) -> 3
, 0_1(5) -> 4
, 0_1(11) -> 10
, 0_1(12) -> 11
, 0_1(17) -> 16
, 0_1(19) -> 18
, 0_1(20) -> 19
, 0_1(21) -> 20
, 0_1(26) -> 25
, 0_1(28) -> 553
, 0_1(29) -> 698
, 0_1(30) -> 110
, 0_1(31) -> 110
, 0_1(35) -> 34
, 0_1(42) -> 41
, 0_1(48) -> 47
, 0_1(51) -> 50
, 0_1(52) -> 51
, 0_1(57) -> 56
, 0_1(67) -> 66
, 0_1(73) -> 72
, 0_1(74) -> 73
, 0_1(75) -> 74
, 0_1(76) -> 75
, 0_1(78) -> 77
, 0_1(84) -> 683
, 0_1(90) -> 89
, 0_1(103) -> 102
, 0_1(105) -> 104
, 0_1(110) -> 135
, 0_1(111) -> 698
, 0_1(136) -> 135
, 0_1(137) -> 136
, 0_1(139) -> 138
, 0_1(140) -> 139
, 0_1(147) -> 146
, 0_1(153) -> 152
, 0_1(157) -> 156
, 0_1(161) -> 698
, 0_1(162) -> 161
, 0_1(163) -> 162
, 0_1(166) -> 165
, 0_1(172) -> 171
, 0_1(182) -> 181
, 0_1(183) -> 182
, 0_1(185) -> 1
, 0_1(185) -> 29
, 0_1(185) -> 56
, 0_1(185) -> 57
, 0_1(185) -> 84
, 0_1(185) -> 110
, 0_1(185) -> 135
, 0_1(185) -> 136
, 0_1(185) -> 184
, 0_1(185) -> 209
, 0_1(185) -> 311
, 0_1(185) -> 313
, 0_1(185) -> 351
, 0_1(185) -> 464
, 0_1(185) -> 575
, 0_1(185) -> 588
, 0_1(185) -> 644
, 0_1(185) -> 660
, 0_1(185) -> 683
, 0_1(185) -> 701
, 0_1(185) -> 720
, 0_1(185) -> 794
, 0_1(187) -> 186
, 0_1(188) -> 187
, 0_1(189) -> 188
, 0_1(198) -> 197
, 0_1(207) -> 206
, 0_1(208) -> 417
, 0_1(209) -> 534
, 0_1(210) -> 59
, 0_1(212) -> 211
, 0_1(213) -> 212
, 0_1(220) -> 219
, 0_1(221) -> 220
, 0_1(243) -> 242
, 0_1(244) -> 243
, 0_1(245) -> 244
, 0_1(246) -> 245
, 0_1(252) -> 110
, 0_1(253) -> 110
, 0_1(254) -> 253
, 0_1(262) -> 261
, 0_1(266) -> 265
, 0_1(268) -> 267
, 0_1(274) -> 515
, 0_1(275) -> 252
, 0_1(290) -> 289
, 0_1(296) -> 295
, 0_1(298) -> 297
, 0_1(302) -> 301
, 0_1(310) -> 309
, 0_1(312) -> 465
, 0_1(313) -> 312
, 0_1(319) -> 318
, 0_1(327) -> 326
, 0_1(333) -> 558
, 0_1(335) -> 334
, 0_1(336) -> 335
, 0_1(343) -> 342
, 0_1(351) -> 350
, 0_1(353) -> 110
, 0_1(367) -> 366
, 0_1(369) -> 368
, 0_1(375) -> 374
, 0_1(380) -> 379
, 0_1(387) -> 708
, 0_1(389) -> 388
, 0_1(402) -> 701
, 0_1(404) -> 110
, 0_1(407) -> 406
, 0_1(413) -> 412
, 0_1(416) -> 415
, 0_1(418) -> 417
, 0_1(421) -> 420
, 0_1(436) -> 435
, 0_1(437) -> 803
, 0_1(438) -> 312
, 0_1(439) -> 110
, 0_1(440) -> 439
, 0_1(446) -> 445
, 0_1(447) -> 446
, 0_1(448) -> 447
, 0_1(454) -> 185
, 0_1(466) -> 465
, 0_1(467) -> 466
, 0_1(468) -> 110
, 0_1(469) -> 468
, 0_1(473) -> 472
, 0_1(479) -> 478
, 0_1(480) -> 479
, 0_1(482) -> 110
, 0_1(493) -> 492
, 0_1(495) -> 494
, 0_1(499) -> 498
, 0_1(503) -> 502
, 0_1(504) -> 503
, 0_1(506) -> 370
, 0_1(507) -> 506
, 0_1(515) -> 514
, 0_1(518) -> 110
, 0_1(521) -> 520
, 0_1(522) -> 521
, 0_1(526) -> 525
, 0_1(529) -> 528
, 0_1(532) -> 531
, 0_1(534) -> 533
, 0_1(535) -> 534
, 0_1(536) -> 110
, 0_1(537) -> 536
, 0_1(541) -> 540
, 0_1(543) -> 542
, 0_1(544) -> 404
, 0_1(546) -> 545
, 0_1(553) -> 552
, 0_1(559) -> 110
, 0_1(561) -> 560
, 0_1(563) -> 562
, 0_1(565) -> 110
, 0_1(573) -> 572
, 0_1(575) -> 574
, 0_1(576) -> 575
, 0_1(578) -> 275
, 0_1(579) -> 578
, 0_1(584) -> 583
, 0_1(602) -> 110
, 0_1(606) -> 605
, 0_1(608) -> 110
, 0_1(610) -> 609
, 0_1(611) -> 610
, 0_1(619) -> 422
, 0_1(624) -> 623
, 0_1(633) -> 683
, 0_1(634) -> 111
, 0_1(637) -> 636
, 0_1(642) -> 641
, 0_1(644) -> 716
, 0_1(646) -> 110
, 0_1(651) -> 85
, 0_1(652) -> 651
, 0_1(657) -> 656
, 0_1(660) -> 659
, 0_1(663) -> 662
, 0_1(680) -> 679
, 0_1(683) -> 682
, 0_1(688) -> 687
, 0_1(693) -> 741
, 0_1(698) -> 734
, 0_1(702) -> 701
, 0_1(708) -> 707
, 0_1(712) -> 711
, 0_1(721) -> 720
, 0_1(723) -> 30
, 0_1(725) -> 724
, 0_1(736) -> 735
, 0_1(740) -> 739
, 0_1(743) -> 742
, 0_1(744) -> 743
, 0_1(745) -> 683
, 0_1(746) -> 110
, 0_1(748) -> 747
, 0_1(754) -> 312
, 0_1(770) -> 156
, 0_1(772) -> 771
, 0_1(779) -> 51
, 0_1(784) -> 783
, 0_1(786) -> 785
, 0_1(787) -> 571
, 0_1(794) -> 575
, 0_1(798) -> 231
, 0_1(809) -> 808
, 0_1(810) -> 809
, 0_1(813) -> 776
, 5_0(1) -> 1
, 5_1(1) -> 137
, 5_1(2) -> 1
, 5_1(2) -> 29
, 5_1(2) -> 57
, 5_1(2) -> 84
, 5_1(2) -> 110
, 5_1(2) -> 137
, 5_1(2) -> 230
, 5_1(2) -> 251
, 5_1(2) -> 274
, 5_1(2) -> 333
, 5_1(2) -> 349
, 5_1(2) -> 350
, 5_1(2) -> 386
, 5_1(2) -> 421
, 5_1(2) -> 481
, 5_1(2) -> 601
, 5_1(2) -> 641
, 5_1(2) -> 655
, 5_1(2) -> 677
, 5_1(2) -> 698
, 5_1(2) -> 806
, 5_1(7) -> 6
, 5_1(8) -> 7
, 5_1(9) -> 8
, 5_1(13) -> 12
, 5_1(14) -> 13
, 5_1(24) -> 23
, 5_1(28) -> 27
, 5_1(29) -> 28
, 5_1(30) -> 137
, 5_1(31) -> 30
, 5_1(33) -> 32
, 5_1(34) -> 33
, 5_1(36) -> 35
, 5_1(37) -> 36
, 5_1(43) -> 42
, 5_1(50) -> 49
, 5_1(56) -> 601
, 5_1(57) -> 251
, 5_1(71) -> 70
, 5_1(77) -> 76
, 5_1(84) -> 421
, 5_1(91) -> 90
, 5_1(98) -> 97
, 5_1(109) -> 655
, 5_1(110) -> 349
, 5_1(111) -> 58
, 5_1(112) -> 111
, 5_1(113) -> 112
, 5_1(118) -> 117
, 5_1(120) -> 119
, 5_1(124) -> 123
, 5_1(126) -> 125
, 5_1(133) -> 132
, 5_1(136) -> 491
, 5_1(137) -> 645
, 5_1(152) -> 151
, 5_1(154) -> 153
, 5_1(159) -> 158
, 5_1(167) -> 166
, 5_1(173) -> 172
, 5_1(174) -> 173
, 5_1(176) -> 175
, 5_1(181) -> 180
, 5_1(185) -> 251
, 5_1(190) -> 189
, 5_1(192) -> 191
, 5_1(194) -> 193
, 5_1(199) -> 198
, 5_1(200) -> 199
, 5_1(209) -> 208
, 5_1(223) -> 222
, 5_1(231) -> 31
, 5_1(232) -> 231
, 5_1(241) -> 240
, 5_1(247) -> 246
, 5_1(251) -> 639
, 5_1(263) -> 262
, 5_1(269) -> 268
, 5_1(274) -> 713
, 5_1(282) -> 281
, 5_1(287) -> 286
, 5_1(305) -> 304
, 5_1(307) -> 306
, 5_1(309) -> 308
, 5_1(313) -> 386
, 5_1(322) -> 321
, 5_1(349) -> 348
, 5_1(350) -> 349
, 5_1(351) -> 493
, 5_1(358) -> 357
, 5_1(359) -> 358
, 5_1(361) -> 360
, 5_1(367) -> 591
, 5_1(370) -> 137
, 5_1(372) -> 371
, 5_1(387) -> 386
, 5_1(395) -> 394
, 5_1(403) -> 677
, 5_1(405) -> 58
, 5_1(415) -> 414
, 5_1(417) -> 416
, 5_1(419) -> 418
, 5_1(423) -> 422
, 5_1(425) -> 424
, 5_1(427) -> 426
, 5_1(442) -> 441
, 5_1(450) -> 449
, 5_1(451) -> 450
, 5_1(452) -> 451
, 5_1(453) -> 452
, 5_1(454) -> 137
, 5_1(455) -> 454
, 5_1(457) -> 456
, 5_1(461) -> 460
, 5_1(462) -> 461
, 5_1(464) -> 463
, 5_1(468) -> 185
, 5_1(481) -> 480
, 5_1(490) -> 489
, 5_1(492) -> 491
, 5_1(495) -> 251
, 5_1(511) -> 510
, 5_1(512) -> 511
, 5_1(513) -> 512
, 5_1(514) -> 733
, 5_1(516) -> 252
, 5_1(520) -> 519
, 5_1(538) -> 537
, 5_1(539) -> 538
, 5_1(544) -> 251
, 5_1(547) -> 546
, 5_1(548) -> 547
, 5_1(552) -> 551
, 5_1(560) -> 559
, 5_1(571) -> 137
, 5_1(572) -> 571
, 5_1(583) -> 405
, 5_1(588) -> 767
, 5_1(589) -> 58
, 5_1(593) -> 592
, 5_1(594) -> 593
, 5_1(608) -> 275
, 5_1(615) -> 614
, 5_1(618) -> 650
, 5_1(627) -> 626
, 5_1(633) -> 632
, 5_1(635) -> 634
, 5_1(640) -> 516
, 5_1(644) -> 643
, 5_1(646) -> 137
, 5_1(647) -> 646
, 5_1(648) -> 647
, 5_1(649) -> 648
, 5_1(655) -> 654
, 5_1(656) -> 404
, 5_1(665) -> 664
, 5_1(671) -> 670
, 5_1(674) -> 673
, 5_1(676) -> 675
, 5_1(677) -> 676
, 5_1(684) -> 596
, 5_1(689) -> 494
, 5_1(691) -> 690
, 5_1(696) -> 695
, 5_1(705) -> 704
, 5_1(706) -> 705
, 5_1(710) -> 23
, 5_1(716) -> 799
, 5_1(717) -> 253
, 5_1(722) -> 137
, 5_1(731) -> 730
, 5_1(732) -> 731
, 5_1(733) -> 732
, 5_1(734) -> 733
, 5_1(745) -> 744
, 5_1(750) -> 749
, 5_1(754) -> 32
, 5_1(757) -> 756
, 5_1(761) -> 760
, 5_1(762) -> 761
, 5_1(765) -> 764
, 5_1(767) -> 810
, 5_1(768) -> 86
, 5_1(769) -> 768
, 5_1(774) -> 773
, 5_1(782) -> 781
, 5_1(789) -> 788
, 5_1(793) -> 792
, 5_1(796) -> 795
, 5_1(803) -> 802
, 5_1(807) -> 58
, 5_1(811) -> 810
, 5_1(812) -> 811
, 5_1(817) -> 816
, 5_1(819) -> 58
, 5_1(820) -> 527
, 4_0(1) -> 1
, 4_1(1) -> 29
, 4_1(2) -> 29
, 4_1(3) -> 29
, 4_1(4) -> 29
, 4_1(10) -> 9
, 4_1(18) -> 17
, 4_1(22) -> 21
, 4_1(25) -> 24
, 4_1(29) -> 588
, 4_1(30) -> 1
, 4_1(30) -> 28
, 4_1(30) -> 29
, 4_1(30) -> 56
, 4_1(30) -> 57
, 4_1(30) -> 84
, 4_1(30) -> 110
, 4_1(30) -> 137
, 4_1(30) -> 230
, 4_1(30) -> 351
, 4_1(30) -> 386
, 4_1(30) -> 403
, 4_1(30) -> 437
, 4_1(30) -> 481
, 4_1(30) -> 570
, 4_1(30) -> 642
, 4_1(30) -> 703
, 4_1(30) -> 767
, 4_1(30) -> 775
, 4_1(30) -> 780
, 4_1(30) -> 812
, 4_1(38) -> 37
, 4_1(56) -> 55
, 4_1(57) -> 274
, 4_1(59) -> 58
, 4_1(66) -> 65
, 4_1(83) -> 160
, 4_1(84) -> 812
, 4_1(85) -> 588
, 4_1(86) -> 85
, 4_1(87) -> 86
, 4_1(89) -> 88
, 4_1(92) -> 91
, 4_1(95) -> 94
, 4_1(97) -> 96
, 4_1(110) -> 369
, 4_1(111) -> 29
, 4_1(112) -> 29
, 4_1(114) -> 113
, 4_1(119) -> 118
, 4_1(128) -> 127
, 4_1(137) -> 351
, 4_1(138) -> 29
, 4_1(145) -> 144
, 4_1(148) -> 147
, 4_1(149) -> 148
, 4_1(150) -> 149
, 4_1(155) -> 154
, 4_1(160) -> 159
, 4_1(161) -> 29
, 4_1(170) -> 169
, 4_1(171) -> 170
, 4_1(179) -> 178
, 4_1(184) -> 183
, 4_1(185) -> 29
, 4_1(191) -> 190
, 4_1(193) -> 192
, 4_1(197) -> 196
, 4_1(203) -> 202
, 4_1(208) -> 207
, 4_1(215) -> 214
, 4_1(216) -> 215
, 4_1(217) -> 216
, 4_1(222) -> 221
, 4_1(225) -> 224
, 4_1(226) -> 225
, 4_1(230) -> 661
, 4_1(233) -> 232
, 4_1(236) -> 235
, 4_1(248) -> 247
, 4_1(250) -> 249
, 4_1(252) -> 588
, 4_1(255) -> 254
, 4_1(256) -> 255
, 4_1(264) -> 263
, 4_1(272) -> 271
, 4_1(274) -> 660
, 4_1(275) -> 29
, 4_1(283) -> 282
, 4_1(286) -> 285
, 4_1(289) -> 288
, 4_1(295) -> 294
, 4_1(306) -> 305
, 4_1(310) -> 595
, 4_1(313) -> 570
, 4_1(314) -> 111
, 4_1(316) -> 315
, 4_1(334) -> 29
, 4_1(342) -> 341
, 4_1(345) -> 344
, 4_1(346) -> 345
, 4_1(347) -> 346
, 4_1(353) -> 352
, 4_1(360) -> 359
, 4_1(365) -> 364
, 4_1(370) -> 252
, 4_1(371) -> 370
, 4_1(377) -> 376
, 4_1(378) -> 377
, 4_1(379) -> 378
, 4_1(382) -> 381
, 4_1(393) -> 392
, 4_1(397) -> 396
, 4_1(402) -> 401
, 4_1(404) -> 274
, 4_1(422) -> 29
, 4_1(424) -> 423
, 4_1(428) -> 427
, 4_1(429) -> 428
, 4_1(438) -> 437
, 4_1(439) -> 185
, 4_1(444) -> 443
, 4_1(449) -> 448
, 4_1(454) -> 29
, 4_1(455) -> 29
, 4_1(459) -> 458
, 4_1(468) -> 29
, 4_1(470) -> 469
, 4_1(472) -> 471
, 4_1(485) -> 484
, 4_1(497) -> 496
, 4_1(498) -> 497
, 4_1(509) -> 508
, 4_1(525) -> 524
, 4_1(527) -> 29
, 4_1(528) -> 527
, 4_1(531) -> 530
, 4_1(542) -> 541
, 4_1(544) -> 29
, 4_1(554) -> 314
, 4_1(557) -> 556
, 4_1(559) -> 29
, 4_1(564) -> 820
, 4_1(565) -> 494
, 4_1(566) -> 565
, 4_1(570) -> 818
, 4_1(571) -> 559
, 4_1(574) -> 573
, 4_1(577) -> 609
, 4_1(596) -> 29
, 4_1(598) -> 597
, 4_1(599) -> 598
, 4_1(600) -> 599
, 4_1(601) -> 600
, 4_1(604) -> 603
, 4_1(606) -> 738
, 4_1(607) -> 775
, 4_1(618) -> 617
, 4_1(626) -> 625
, 4_1(629) -> 628
, 4_1(632) -> 631
, 4_1(643) -> 642
, 4_1(646) -> 404
, 4_1(650) -> 649
, 4_1(654) -> 653
, 4_1(661) -> 660
, 4_1(662) -> 619
, 4_1(665) -> 805
, 4_1(666) -> 2
, 4_1(669) -> 668
, 4_1(679) -> 678
, 4_1(682) -> 681
, 4_1(683) -> 753
, 4_1(695) -> 694
, 4_1(704) -> 482
, 4_1(707) -> 706
, 4_1(711) -> 710
, 4_1(714) -> 609
, 4_1(727) -> 726
, 4_1(728) -> 727
, 4_1(742) -> 161
, 4_1(755) -> 29
, 4_1(771) -> 656
, 4_1(776) -> 29
, 4_1(785) -> 369
, 4_1(790) -> 789
, 4_1(791) -> 615
, 4_1(804) -> 593
, 4_1(806) -> 805
, 4_1(814) -> 813
, 4_1(819) -> 30}
Hurray, we answered YES(?,O(n^1))Tool EDA
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 5(0(0(0(3(5(5(5(4(0(0(5(5(2(0(2(4(0(0(0(4(1(5(0(4(1(5(5(4(x1)))))))))))))))))))))))))))))
->
5(0(0(0(3(5(5(5(4(0(0(5(5(2(2(0(4(0(0(0(4(1(5(4(0(1(5(5(4(x1)))))))))))))))))))))))))))))
, 4(5(2(5(5(0(5(5(4(1(2(1(0(5(3(1(2(3(0(2(5(0(0(1(1(3(4(0(1(x1)))))))))))))))))))))))))))))
->
4(5(2(5(5(0(5(5(4(1(2(1(0(5(1(3(2(3(0(2(5(0(0(1(1(3(4(0(1(x1)))))))))))))))))))))))))))))
, 4(2(4(1(1(1(3(1(0(5(4(1(3(0(3(0(2(0(2(2(5(0(2(1(2(1(2(0(3(x1)))))))))))))))))))))))))))))
->
4(2(4(1(1(3(1(2(1(4(0(3(1(3(5(2(0(0(0(0(5(0(2(2(2(1(1(2(3(x1)))))))))))))))))))))))))))))
, 5(3(4(4(3(4(0(4(5(3(3(4(2(4(5(2(2(2(2(0(2(0(1(2(1(3(2(0(x1))))))))))))))))))))))))))))
->
5(3(4(4(3(4(0(5(4(3(3(4(2(4(5(2(2(2(2(0(2(0(1(2(1(3(2(0(x1))))))))))))))))))))))))))))
, 2(5(4(2(5(3(2(3(3(4(5(5(2(1(5(1(3(1(0(2(3(5(4(0(2(5(1(5(x1))))))))))))))))))))))))))))
->
2(5(5(4(3(2(3(5(4(5(2(3(2(5(1(5(1(4(2(1(1(2(5(3(3(0(0(5(x1))))))))))))))))))))))))))))
, 2(5(2(0(0(3(1(1(4(1(0(3(4(4(4(3(5(0(5(4(0(3(5(3(4(4(2(3(x1))))))))))))))))))))))))))))
->
2(5(2(0(0(3(1(1(3(4(1(0(4(4(4(3(5(0(5(4(3(0(3(5(4(4(2(3(x1))))))))))))))))))))))))))))
, 5(2(0(0(1(3(0(5(3(1(4(4(0(5(3(5(5(2(3(4(3(5(0(0(4(3(3(x1)))))))))))))))))))))))))))
->
5(2(0(0(1(3(0(5(3(1(4(4(0(5(5(3(5(2(3(4(3(5(0(0(4(3(3(x1)))))))))))))))))))))))))))
, 0(1(0(0(0(5(4(5(4(5(2(2(4(0(5(5(2(2(2(4(2(3(0(4(5(3(0(x1)))))))))))))))))))))))))))
->
0(1(0(0(0(5(4(5(4(5(2(2(4(0(5(5(2(2(4(2(2(3(0(4(5(3(0(x1)))))))))))))))))))))))))))
, 4(2(4(0(2(0(0(1(4(4(4(2(1(0(0(4(5(4(2(4(2(1(1(1(1(3(x1))))))))))))))))))))))))))
->
4(2(4(0(2(0(0(1(4(4(4(2(1(0(0(4(5(2(4(4(2(1(1(1(1(3(x1))))))))))))))))))))))))))
, 4(5(5(5(4(2(1(4(2(1(2(1(5(1(0(0(0(0(5(4(1(3(4(5(1(x1)))))))))))))))))))))))))
->
4(5(5(5(4(2(1(4(2(1(2(1(5(1(0(0(0(0(5(4(1(4(3(5(1(x1)))))))))))))))))))))))))
, 3(3(0(4(4(3(3(1(3(0(3(5(4(1(0(1(0(5(2(3(4(1(3(4(1(x1)))))))))))))))))))))))))
->
3(3(0(4(4(3(3(1(3(3(0(5(4(1(0(1(0(5(2(3(4(1(3(4(1(x1)))))))))))))))))))))))))
, 3(0(1(2(2(1(2(1(5(4(1(3(5(4(2(4(0(3(3(3(1(3(5(1(x1))))))))))))))))))))))))
->
3(0(1(2(2(1(2(1(5(4(1(3(4(5(2(4(0(3(3(3(1(3(5(1(x1))))))))))))))))))))))))
, 5(0(4(1(0(1(0(3(1(1(0(3(3(4(5(5(2(5(0(3(1(0(2(x1)))))))))))))))))))))))
->
5(0(1(4(0(1(0(3(1(1(0(3(3(5(4(5(2(5(0(3(1(0(2(x1)))))))))))))))))))))))
, 2(4(4(3(3(3(0(3(1(3(2(5(3(2(0(3(1(3(3(3(1(3(2(x1)))))))))))))))))))))))
->
2(4(3(4(3(3(0(3(3(5(2(1(2(3(0(3(1(3(3(3(1(3(2(x1)))))))))))))))))))))))
, 4(2(1(0(2(0(1(3(3(1(4(0(1(4(4(4(3(5(5(0(4(5(x1))))))))))))))))))))))
->
4(2(1(0(0(2(1(3(3(1(4(0(1(4(4(4(3(5(5(0(4(5(x1))))))))))))))))))))))
, 0(1(1(4(3(2(3(3(5(5(4(5(3(3(4(1(2(0(3(0(4(0(x1))))))))))))))))))))))
->
0(1(1(4(3(2(3(3(5(5(4(5(3(3(1(4(2(0(3(0(4(0(x1))))))))))))))))))))))
, 3(4(4(5(1(2(1(0(4(4(0(1(3(4(4(3(5(2(1(1(1(x1)))))))))))))))))))))
->
3(4(4(5(2(1(0(1(4(4(4(0(1(4(3(3(1(1(5(2(1(x1)))))))))))))))))))))
, 2(5(5(2(0(3(1(2(3(4(5(3(4(2(3(3(1(4(1(1(4(x1)))))))))))))))))))))
->
2(5(5(2(0(3(1(2(4(3(5(3(4(2(3(3(1(4(1(1(4(x1)))))))))))))))))))))
, 1(2(2(0(3(2(3(2(3(0(1(5(0(0(5(5(3(0(5(3(x1)))))))))))))))))))) ->
1(2(2(0(3(2(3(2(3(0(1(5(0(5(0(5(3(0(5(3(x1))))))))))))))))))))
, 0(3(5(4(5(5(3(4(4(1(2(1(2(2(0(1(2(4(2(4(x1)))))))))))))))))))) ->
0(3(5(4(5(3(5(4(4(1(1(2(2(1(2(0(2(4(2(4(x1))))))))))))))))))))
, 0(1(2(0(0(0(0(0(2(3(4(4(4(5(1(5(5(5(5(x1))))))))))))))))))) ->
0(4(0(1(5(2(4(3(0(0(0(4(5(5(5(5(2(1(0(x1)))))))))))))))))))
, 0(0(5(1(5(3(4(2(5(5(1(5(1(0(2(0(4(1(x1)))))))))))))))))) ->
0(0(5(1(5(3(4(2(5(5(1(5(1(0(0(2(4(1(x1))))))))))))))))))
, 0(5(0(4(2(4(0(1(1(3(2(1(0(5(0(3(1(x1))))))))))))))))) ->
0(5(0(4(2(4(0(1(1(3(2(1(0(0(5(3(1(x1)))))))))))))))))
, 1(3(3(2(4(2(2(2(1(5(2(0(5(5(4(5(x1)))))))))))))))) ->
1(3(3(2(4(2(2(2(1(5(2(5(0(5(4(5(x1))))))))))))))))
, 1(1(4(0(3(4(1(0(1(1(2(0(3(2(0(4(x1)))))))))))))))) ->
1(1(0(1(4(4(0(1(3(1(0(0(3(2(2(4(x1))))))))))))))))
, 5(0(3(4(1(5(5(0(0(0(3(4(4(1(1(x1))))))))))))))) ->
3(4(0(0(1(4(3(5(5(5(1(0(0(4(1(x1)))))))))))))))
, 3(5(3(3(2(5(0(0(2(2(0(4(1(4(5(x1))))))))))))))) ->
3(5(3(3(2(5(0(0(2(2(4(0(1(4(5(x1)))))))))))))))
, 3(1(4(0(4(1(0(2(0(0(3(0(4(5(x1)))))))))))))) ->
3(1(4(0(1(4(0(2(0(0(3(0(4(5(x1))))))))))))))
, 2(5(1(2(0(0(5(1(5(0(4(2(5(4(x1)))))))))))))) ->
2(5(2(1(0(5(5(1(0(4(0(2(5(4(x1))))))))))))))
, 1(0(1(0(5(5(2(2(5(1(0(0(5(4(x1)))))))))))))) ->
1(0(1(0(5(5(2(2(1(5(0(0(5(4(x1))))))))))))))
, 5(3(1(2(5(0(5(3(3(4(5(3(x1)))))))))))) ->
2(4(4(2(2(4(2(0(3(2(x1))))))))))
, 5(3(0(5(0(4(1(0(4(4(1(1(x1)))))))))))) ->
2(1(5(0(2(0(3(2(3(3(x1))))))))))
, 5(2(0(4(5(0(5(5(1(0(1(0(x1)))))))))))) ->
1(1(4(4(3(1(2(2(4(2(x1))))))))))
, 2(1(4(5(0(4(0(1(0(1(2(0(x1)))))))))))) ->
2(1(4(5(0(4(0(0(1(1(2(0(x1))))))))))))
, 1(0(0(3(4(1(0(4(1(2(0(4(x1)))))))))))) ->
3(0(0(0(2(2(2(2(3(0(x1))))))))))
, 0(0(1(5(3(5(2(4(0(5(3(4(x1)))))))))))) ->
1(2(5(0(1(2(1(3(4(4(x1))))))))))
, 5(4(4(0(2(4(3(1(3(0(5(x1))))))))))) ->
4(2(5(3(3(5(3(0(4(0(x1))))))))))
, 5(3(0(0(0(0(3(2(5(2(1(x1))))))))))) ->
2(4(1(5(5(2(4(3(1(0(x1))))))))))
, 5(2(4(0(5(1(4(0(5(1(5(x1))))))))))) ->
4(3(3(4(4(4(4(5(0(1(x1))))))))))
, 5(1(4(0(5(5(2(3(5(0(0(x1))))))))))) ->
5(3(3(1(4(3(0(2(3(4(x1))))))))))
, 5(1(0(0(5(3(3(0(4(3(4(x1))))))))))) ->
3(0(5(2(0(0(1(1(1(5(x1))))))))))
, 5(0(0(5(1(3(4(3(5(1(3(x1))))))))))) ->
3(1(3(5(2(2(4(3(3(0(x1))))))))))
, 4(5(5(2(3(4(5(1(1(0(5(x1))))))))))) ->
0(3(0(1(2(3(3(4(2(3(x1))))))))))
, 4(4(2(0(1(5(5(2(0(0(5(x1))))))))))) ->
3(3(2(0(3(4(5(1(5(4(x1))))))))))
, 4(4(1(2(3(2(2(0(4(2(5(x1))))))))))) ->
0(4(1(4(2(2(4(5(3(5(x1))))))))))
, 4(3(5(5(0(1(0(1(1(0(1(x1))))))))))) ->
2(0(5(2(0(1(1(5(5(1(x1))))))))))
, 4(2(2(1(0(4(4(5(0(4(5(x1))))))))))) ->
3(5(5(2(0(4(5(2(5(5(x1))))))))))
, 4(1(4(0(0(4(4(5(3(0(0(x1))))))))))) ->
1(4(5(5(5(4(5(3(3(0(x1))))))))))
, 4(1(0(3(5(4(4(3(3(4(5(x1))))))))))) ->
5(3(0(0(1(4(5(5(2(0(x1))))))))))
, 3(4(0(3(3(5(5(1(4(5(3(x1))))))))))) ->
1(5(0(3(2(0(4(4(1(3(x1))))))))))
, 3(3(1(2(3(1(2(1(0(1(2(x1))))))))))) ->
0(3(0(4(0(2(5(1(3(5(x1))))))))))
, 3(2(2(3(2(0(3(0(2(1(4(x1))))))))))) ->
5(4(2(2(4(3(5(3(0(5(x1))))))))))
, 3(2(0(5(4(2(5(0(4(2(1(x1))))))))))) ->
3(2(3(5(2(5(5(5(1(4(x1))))))))))
, 3(1(5(1(5(0(5(1(3(4(2(x1))))))))))) ->
5(4(3(4(0(3(4(0(0(3(x1))))))))))
, 3(1(3(5(4(4(0(5(1(0(0(x1))))))))))) ->
4(3(5(1(2(2(0(1(2(5(x1))))))))))
, 3(1(0(4(1(1(3(3(2(3(4(x1))))))))))) ->
1(1(5(3(5(2(1(2(3(5(x1))))))))))
, 3(0(1(2(0(0(2(0(5(2(5(x1))))))))))) ->
0(4(1(3(4(5(3(1(0(4(x1))))))))))
, 2(5(3(5(3(4(5(0(0(0(2(x1))))))))))) ->
0(5(1(3(1(0(1(1(4(2(x1))))))))))
, 2(1(4(3(3(1(0(5(2(5(1(x1))))))))))) ->
1(3(4(5(5(4(0(0(2(1(x1))))))))))
, 1(5(2(4(2(0(0(1(0(5(0(x1))))))))))) ->
1(1(2(3(4(0(1(5(4(1(x1))))))))))
, 1(4(4(4(2(4(1(3(5(0(2(x1))))))))))) ->
3(0(5(2(4(1(2(0(2(5(x1))))))))))
, 1(4(4(1(0(4(2(5(0(3(2(x1))))))))))) ->
3(3(5(3(2(3(0(3(1(2(x1))))))))))
, 1(4(2(4(5(2(3(1(0(1(4(x1))))))))))) ->
4(0(1(0(3(4(4(1(1(0(x1))))))))))
, 1(4(2(0(1(5(4(5(4(3(1(x1))))))))))) ->
2(3(2(5(5(5(5(0(0(4(x1))))))))))
, 1(3(4(5(0(3(3(2(1(4(3(x1))))))))))) ->
4(5(1(0(3(3(4(2(3(4(x1))))))))))
, 1(3(4(2(0(5(2(0(4(4(4(x1))))))))))) ->
3(0(1(3(0(1(0(2(3(5(x1))))))))))
, 1(3(0(2(0(5(0(0(1(1(4(x1))))))))))) ->
5(2(4(0(0(5(3(0(3(0(x1))))))))))
, 1(3(0(1(5(5(3(3(5(3(3(x1))))))))))) ->
5(2(1(3(0(2(5(5(2(0(x1))))))))))
, 1(2(4(5(5(3(2(4(1(1(5(x1))))))))))) ->
3(4(1(5(3(1(1(4(0(3(x1))))))))))
, 1(1(2(5(1(4(2(5(5(2(4(x1))))))))))) ->
0(2(2(2(5(3(1(1(0(4(x1))))))))))
, 1(0(2(3(2(3(3(0(3(2(0(x1))))))))))) ->
3(2(2(3(5(5(1(4(0(1(x1))))))))))
, 1(0(0(2(2(3(5(0(2(0(4(x1))))))))))) ->
2(1(1(3(5(2(2(5(4(4(x1))))))))))
, 0(4(5(2(5(5(4(3(5(1(0(x1))))))))))) ->
5(3(4(5(5(3(3(5(4(4(x1))))))))))
, 0(3(1(4(0(1(2(0(3(5(0(x1))))))))))) ->
1(5(4(0(2(5(3(4(3(4(x1))))))))))
, 0(3(1(3(4(4(4(1(2(5(2(x1))))))))))) ->
1(4(3(2(2(1(1(1(3(4(x1))))))))))
, 0(1(5(2(0(5(3(3(0(2(2(x1))))))))))) ->
4(1(5(3(0(3(0(2(0(4(x1))))))))))
, 0(0(5(1(0(0(5(4(3(4(1(x1))))))))))) ->
2(1(4(0(1(5(4(3(4(2(x1))))))))))
, 0(0(0(4(5(5(2(4(5(1(3(x1))))))))))) ->
3(1(3(5(4(2(5(1(1(1(x1))))))))))
, 5(0(1(5(1(2(2(1(4(1(x1)))))))))) ->
5(0(1(1(5(2(2(1(4(1(x1))))))))))
, 4(2(2(2(2(4(4(4(1(3(x1)))))))))) ->
4(5(5(0(3(5(0(2(5(1(x1))))))))))
, 3(5(2(1(2(0(5(4(2(4(x1)))))))))) ->
3(5(2(1(2(5(0(4(2(4(x1))))))))))
, 1(2(2(5(1(1(2(4(2(0(x1)))))))))) ->
2(4(1(5(4(3(4(1(3(0(x1))))))))))
, 1(0(0(2(2(2(5(2(3(3(x1)))))))))) ->
0(1(2(3(0(0(5(5(4(3(x1))))))))))
, 1(4(4(3(4(2(3(0(0(x1))))))))) -> 1(4(3(0(4(3(2(4(0(x1)))))))))
, 1(1(1(2(4(4(5(1(x1)))))))) -> 1(1(1(5(1(4(4(2(x1))))))))
, 0(3(1(2(1(2(0(4(x1)))))))) -> 0(3(0(1(2(2(1(4(x1))))))))
, 4(3(4(1(2(4(4(x1))))))) -> 4(4(1(4(3(2(4(x1)))))))
, 3(1(2(4(5(3(3(x1))))))) -> 3(1(5(4(2(3(3(x1)))))))
, 0(3(3(2(0(2(2(x1))))))) -> 0(3(2(3(2(0(2(x1)))))))
, 0(0(1(2(3(3(1(x1))))))) -> 0(0(1(3(2(3(1(x1)))))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool IDA
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 5(0(0(0(3(5(5(5(4(0(0(5(5(2(0(2(4(0(0(0(4(1(5(0(4(1(5(5(4(x1)))))))))))))))))))))))))))))
->
5(0(0(0(3(5(5(5(4(0(0(5(5(2(2(0(4(0(0(0(4(1(5(4(0(1(5(5(4(x1)))))))))))))))))))))))))))))
, 4(5(2(5(5(0(5(5(4(1(2(1(0(5(3(1(2(3(0(2(5(0(0(1(1(3(4(0(1(x1)))))))))))))))))))))))))))))
->
4(5(2(5(5(0(5(5(4(1(2(1(0(5(1(3(2(3(0(2(5(0(0(1(1(3(4(0(1(x1)))))))))))))))))))))))))))))
, 4(2(4(1(1(1(3(1(0(5(4(1(3(0(3(0(2(0(2(2(5(0(2(1(2(1(2(0(3(x1)))))))))))))))))))))))))))))
->
4(2(4(1(1(3(1(2(1(4(0(3(1(3(5(2(0(0(0(0(5(0(2(2(2(1(1(2(3(x1)))))))))))))))))))))))))))))
, 5(3(4(4(3(4(0(4(5(3(3(4(2(4(5(2(2(2(2(0(2(0(1(2(1(3(2(0(x1))))))))))))))))))))))))))))
->
5(3(4(4(3(4(0(5(4(3(3(4(2(4(5(2(2(2(2(0(2(0(1(2(1(3(2(0(x1))))))))))))))))))))))))))))
, 2(5(4(2(5(3(2(3(3(4(5(5(2(1(5(1(3(1(0(2(3(5(4(0(2(5(1(5(x1))))))))))))))))))))))))))))
->
2(5(5(4(3(2(3(5(4(5(2(3(2(5(1(5(1(4(2(1(1(2(5(3(3(0(0(5(x1))))))))))))))))))))))))))))
, 2(5(2(0(0(3(1(1(4(1(0(3(4(4(4(3(5(0(5(4(0(3(5(3(4(4(2(3(x1))))))))))))))))))))))))))))
->
2(5(2(0(0(3(1(1(3(4(1(0(4(4(4(3(5(0(5(4(3(0(3(5(4(4(2(3(x1))))))))))))))))))))))))))))
, 5(2(0(0(1(3(0(5(3(1(4(4(0(5(3(5(5(2(3(4(3(5(0(0(4(3(3(x1)))))))))))))))))))))))))))
->
5(2(0(0(1(3(0(5(3(1(4(4(0(5(5(3(5(2(3(4(3(5(0(0(4(3(3(x1)))))))))))))))))))))))))))
, 0(1(0(0(0(5(4(5(4(5(2(2(4(0(5(5(2(2(2(4(2(3(0(4(5(3(0(x1)))))))))))))))))))))))))))
->
0(1(0(0(0(5(4(5(4(5(2(2(4(0(5(5(2(2(4(2(2(3(0(4(5(3(0(x1)))))))))))))))))))))))))))
, 4(2(4(0(2(0(0(1(4(4(4(2(1(0(0(4(5(4(2(4(2(1(1(1(1(3(x1))))))))))))))))))))))))))
->
4(2(4(0(2(0(0(1(4(4(4(2(1(0(0(4(5(2(4(4(2(1(1(1(1(3(x1))))))))))))))))))))))))))
, 4(5(5(5(4(2(1(4(2(1(2(1(5(1(0(0(0(0(5(4(1(3(4(5(1(x1)))))))))))))))))))))))))
->
4(5(5(5(4(2(1(4(2(1(2(1(5(1(0(0(0(0(5(4(1(4(3(5(1(x1)))))))))))))))))))))))))
, 3(3(0(4(4(3(3(1(3(0(3(5(4(1(0(1(0(5(2(3(4(1(3(4(1(x1)))))))))))))))))))))))))
->
3(3(0(4(4(3(3(1(3(3(0(5(4(1(0(1(0(5(2(3(4(1(3(4(1(x1)))))))))))))))))))))))))
, 3(0(1(2(2(1(2(1(5(4(1(3(5(4(2(4(0(3(3(3(1(3(5(1(x1))))))))))))))))))))))))
->
3(0(1(2(2(1(2(1(5(4(1(3(4(5(2(4(0(3(3(3(1(3(5(1(x1))))))))))))))))))))))))
, 5(0(4(1(0(1(0(3(1(1(0(3(3(4(5(5(2(5(0(3(1(0(2(x1)))))))))))))))))))))))
->
5(0(1(4(0(1(0(3(1(1(0(3(3(5(4(5(2(5(0(3(1(0(2(x1)))))))))))))))))))))))
, 2(4(4(3(3(3(0(3(1(3(2(5(3(2(0(3(1(3(3(3(1(3(2(x1)))))))))))))))))))))))
->
2(4(3(4(3(3(0(3(3(5(2(1(2(3(0(3(1(3(3(3(1(3(2(x1)))))))))))))))))))))))
, 4(2(1(0(2(0(1(3(3(1(4(0(1(4(4(4(3(5(5(0(4(5(x1))))))))))))))))))))))
->
4(2(1(0(0(2(1(3(3(1(4(0(1(4(4(4(3(5(5(0(4(5(x1))))))))))))))))))))))
, 0(1(1(4(3(2(3(3(5(5(4(5(3(3(4(1(2(0(3(0(4(0(x1))))))))))))))))))))))
->
0(1(1(4(3(2(3(3(5(5(4(5(3(3(1(4(2(0(3(0(4(0(x1))))))))))))))))))))))
, 3(4(4(5(1(2(1(0(4(4(0(1(3(4(4(3(5(2(1(1(1(x1)))))))))))))))))))))
->
3(4(4(5(2(1(0(1(4(4(4(0(1(4(3(3(1(1(5(2(1(x1)))))))))))))))))))))
, 2(5(5(2(0(3(1(2(3(4(5(3(4(2(3(3(1(4(1(1(4(x1)))))))))))))))))))))
->
2(5(5(2(0(3(1(2(4(3(5(3(4(2(3(3(1(4(1(1(4(x1)))))))))))))))))))))
, 1(2(2(0(3(2(3(2(3(0(1(5(0(0(5(5(3(0(5(3(x1)))))))))))))))))))) ->
1(2(2(0(3(2(3(2(3(0(1(5(0(5(0(5(3(0(5(3(x1))))))))))))))))))))
, 0(3(5(4(5(5(3(4(4(1(2(1(2(2(0(1(2(4(2(4(x1)))))))))))))))))))) ->
0(3(5(4(5(3(5(4(4(1(1(2(2(1(2(0(2(4(2(4(x1))))))))))))))))))))
, 0(1(2(0(0(0(0(0(2(3(4(4(4(5(1(5(5(5(5(x1))))))))))))))))))) ->
0(4(0(1(5(2(4(3(0(0(0(4(5(5(5(5(2(1(0(x1)))))))))))))))))))
, 0(0(5(1(5(3(4(2(5(5(1(5(1(0(2(0(4(1(x1)))))))))))))))))) ->
0(0(5(1(5(3(4(2(5(5(1(5(1(0(0(2(4(1(x1))))))))))))))))))
, 0(5(0(4(2(4(0(1(1(3(2(1(0(5(0(3(1(x1))))))))))))))))) ->
0(5(0(4(2(4(0(1(1(3(2(1(0(0(5(3(1(x1)))))))))))))))))
, 1(3(3(2(4(2(2(2(1(5(2(0(5(5(4(5(x1)))))))))))))))) ->
1(3(3(2(4(2(2(2(1(5(2(5(0(5(4(5(x1))))))))))))))))
, 1(1(4(0(3(4(1(0(1(1(2(0(3(2(0(4(x1)))))))))))))))) ->
1(1(0(1(4(4(0(1(3(1(0(0(3(2(2(4(x1))))))))))))))))
, 5(0(3(4(1(5(5(0(0(0(3(4(4(1(1(x1))))))))))))))) ->
3(4(0(0(1(4(3(5(5(5(1(0(0(4(1(x1)))))))))))))))
, 3(5(3(3(2(5(0(0(2(2(0(4(1(4(5(x1))))))))))))))) ->
3(5(3(3(2(5(0(0(2(2(4(0(1(4(5(x1)))))))))))))))
, 3(1(4(0(4(1(0(2(0(0(3(0(4(5(x1)))))))))))))) ->
3(1(4(0(1(4(0(2(0(0(3(0(4(5(x1))))))))))))))
, 2(5(1(2(0(0(5(1(5(0(4(2(5(4(x1)))))))))))))) ->
2(5(2(1(0(5(5(1(0(4(0(2(5(4(x1))))))))))))))
, 1(0(1(0(5(5(2(2(5(1(0(0(5(4(x1)))))))))))))) ->
1(0(1(0(5(5(2(2(1(5(0(0(5(4(x1))))))))))))))
, 5(3(1(2(5(0(5(3(3(4(5(3(x1)))))))))))) ->
2(4(4(2(2(4(2(0(3(2(x1))))))))))
, 5(3(0(5(0(4(1(0(4(4(1(1(x1)))))))))))) ->
2(1(5(0(2(0(3(2(3(3(x1))))))))))
, 5(2(0(4(5(0(5(5(1(0(1(0(x1)))))))))))) ->
1(1(4(4(3(1(2(2(4(2(x1))))))))))
, 2(1(4(5(0(4(0(1(0(1(2(0(x1)))))))))))) ->
2(1(4(5(0(4(0(0(1(1(2(0(x1))))))))))))
, 1(0(0(3(4(1(0(4(1(2(0(4(x1)))))))))))) ->
3(0(0(0(2(2(2(2(3(0(x1))))))))))
, 0(0(1(5(3(5(2(4(0(5(3(4(x1)))))))))))) ->
1(2(5(0(1(2(1(3(4(4(x1))))))))))
, 5(4(4(0(2(4(3(1(3(0(5(x1))))))))))) ->
4(2(5(3(3(5(3(0(4(0(x1))))))))))
, 5(3(0(0(0(0(3(2(5(2(1(x1))))))))))) ->
2(4(1(5(5(2(4(3(1(0(x1))))))))))
, 5(2(4(0(5(1(4(0(5(1(5(x1))))))))))) ->
4(3(3(4(4(4(4(5(0(1(x1))))))))))
, 5(1(4(0(5(5(2(3(5(0(0(x1))))))))))) ->
5(3(3(1(4(3(0(2(3(4(x1))))))))))
, 5(1(0(0(5(3(3(0(4(3(4(x1))))))))))) ->
3(0(5(2(0(0(1(1(1(5(x1))))))))))
, 5(0(0(5(1(3(4(3(5(1(3(x1))))))))))) ->
3(1(3(5(2(2(4(3(3(0(x1))))))))))
, 4(5(5(2(3(4(5(1(1(0(5(x1))))))))))) ->
0(3(0(1(2(3(3(4(2(3(x1))))))))))
, 4(4(2(0(1(5(5(2(0(0(5(x1))))))))))) ->
3(3(2(0(3(4(5(1(5(4(x1))))))))))
, 4(4(1(2(3(2(2(0(4(2(5(x1))))))))))) ->
0(4(1(4(2(2(4(5(3(5(x1))))))))))
, 4(3(5(5(0(1(0(1(1(0(1(x1))))))))))) ->
2(0(5(2(0(1(1(5(5(1(x1))))))))))
, 4(2(2(1(0(4(4(5(0(4(5(x1))))))))))) ->
3(5(5(2(0(4(5(2(5(5(x1))))))))))
, 4(1(4(0(0(4(4(5(3(0(0(x1))))))))))) ->
1(4(5(5(5(4(5(3(3(0(x1))))))))))
, 4(1(0(3(5(4(4(3(3(4(5(x1))))))))))) ->
5(3(0(0(1(4(5(5(2(0(x1))))))))))
, 3(4(0(3(3(5(5(1(4(5(3(x1))))))))))) ->
1(5(0(3(2(0(4(4(1(3(x1))))))))))
, 3(3(1(2(3(1(2(1(0(1(2(x1))))))))))) ->
0(3(0(4(0(2(5(1(3(5(x1))))))))))
, 3(2(2(3(2(0(3(0(2(1(4(x1))))))))))) ->
5(4(2(2(4(3(5(3(0(5(x1))))))))))
, 3(2(0(5(4(2(5(0(4(2(1(x1))))))))))) ->
3(2(3(5(2(5(5(5(1(4(x1))))))))))
, 3(1(5(1(5(0(5(1(3(4(2(x1))))))))))) ->
5(4(3(4(0(3(4(0(0(3(x1))))))))))
, 3(1(3(5(4(4(0(5(1(0(0(x1))))))))))) ->
4(3(5(1(2(2(0(1(2(5(x1))))))))))
, 3(1(0(4(1(1(3(3(2(3(4(x1))))))))))) ->
1(1(5(3(5(2(1(2(3(5(x1))))))))))
, 3(0(1(2(0(0(2(0(5(2(5(x1))))))))))) ->
0(4(1(3(4(5(3(1(0(4(x1))))))))))
, 2(5(3(5(3(4(5(0(0(0(2(x1))))))))))) ->
0(5(1(3(1(0(1(1(4(2(x1))))))))))
, 2(1(4(3(3(1(0(5(2(5(1(x1))))))))))) ->
1(3(4(5(5(4(0(0(2(1(x1))))))))))
, 1(5(2(4(2(0(0(1(0(5(0(x1))))))))))) ->
1(1(2(3(4(0(1(5(4(1(x1))))))))))
, 1(4(4(4(2(4(1(3(5(0(2(x1))))))))))) ->
3(0(5(2(4(1(2(0(2(5(x1))))))))))
, 1(4(4(1(0(4(2(5(0(3(2(x1))))))))))) ->
3(3(5(3(2(3(0(3(1(2(x1))))))))))
, 1(4(2(4(5(2(3(1(0(1(4(x1))))))))))) ->
4(0(1(0(3(4(4(1(1(0(x1))))))))))
, 1(4(2(0(1(5(4(5(4(3(1(x1))))))))))) ->
2(3(2(5(5(5(5(0(0(4(x1))))))))))
, 1(3(4(5(0(3(3(2(1(4(3(x1))))))))))) ->
4(5(1(0(3(3(4(2(3(4(x1))))))))))
, 1(3(4(2(0(5(2(0(4(4(4(x1))))))))))) ->
3(0(1(3(0(1(0(2(3(5(x1))))))))))
, 1(3(0(2(0(5(0(0(1(1(4(x1))))))))))) ->
5(2(4(0(0(5(3(0(3(0(x1))))))))))
, 1(3(0(1(5(5(3(3(5(3(3(x1))))))))))) ->
5(2(1(3(0(2(5(5(2(0(x1))))))))))
, 1(2(4(5(5(3(2(4(1(1(5(x1))))))))))) ->
3(4(1(5(3(1(1(4(0(3(x1))))))))))
, 1(1(2(5(1(4(2(5(5(2(4(x1))))))))))) ->
0(2(2(2(5(3(1(1(0(4(x1))))))))))
, 1(0(2(3(2(3(3(0(3(2(0(x1))))))))))) ->
3(2(2(3(5(5(1(4(0(1(x1))))))))))
, 1(0(0(2(2(3(5(0(2(0(4(x1))))))))))) ->
2(1(1(3(5(2(2(5(4(4(x1))))))))))
, 0(4(5(2(5(5(4(3(5(1(0(x1))))))))))) ->
5(3(4(5(5(3(3(5(4(4(x1))))))))))
, 0(3(1(4(0(1(2(0(3(5(0(x1))))))))))) ->
1(5(4(0(2(5(3(4(3(4(x1))))))))))
, 0(3(1(3(4(4(4(1(2(5(2(x1))))))))))) ->
1(4(3(2(2(1(1(1(3(4(x1))))))))))
, 0(1(5(2(0(5(3(3(0(2(2(x1))))))))))) ->
4(1(5(3(0(3(0(2(0(4(x1))))))))))
, 0(0(5(1(0(0(5(4(3(4(1(x1))))))))))) ->
2(1(4(0(1(5(4(3(4(2(x1))))))))))
, 0(0(0(4(5(5(2(4(5(1(3(x1))))))))))) ->
3(1(3(5(4(2(5(1(1(1(x1))))))))))
, 5(0(1(5(1(2(2(1(4(1(x1)))))))))) ->
5(0(1(1(5(2(2(1(4(1(x1))))))))))
, 4(2(2(2(2(4(4(4(1(3(x1)))))))))) ->
4(5(5(0(3(5(0(2(5(1(x1))))))))))
, 3(5(2(1(2(0(5(4(2(4(x1)))))))))) ->
3(5(2(1(2(5(0(4(2(4(x1))))))))))
, 1(2(2(5(1(1(2(4(2(0(x1)))))))))) ->
2(4(1(5(4(3(4(1(3(0(x1))))))))))
, 1(0(0(2(2(2(5(2(3(3(x1)))))))))) ->
0(1(2(3(0(0(5(5(4(3(x1))))))))))
, 1(4(4(3(4(2(3(0(0(x1))))))))) -> 1(4(3(0(4(3(2(4(0(x1)))))))))
, 1(1(1(2(4(4(5(1(x1)))))))) -> 1(1(1(5(1(4(4(2(x1))))))))
, 0(3(1(2(1(2(0(4(x1)))))))) -> 0(3(0(1(2(2(1(4(x1))))))))
, 4(3(4(1(2(4(4(x1))))))) -> 4(4(1(4(3(2(4(x1)))))))
, 3(1(2(4(5(3(3(x1))))))) -> 3(1(5(4(2(3(3(x1)))))))
, 0(3(3(2(0(2(2(x1))))))) -> 0(3(2(3(2(0(2(x1)))))))
, 0(0(1(2(3(3(1(x1))))))) -> 0(0(1(3(2(3(1(x1)))))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool TRI
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 5(0(0(0(3(5(5(5(4(0(0(5(5(2(0(2(4(0(0(0(4(1(5(0(4(1(5(5(4(x1)))))))))))))))))))))))))))))
->
5(0(0(0(3(5(5(5(4(0(0(5(5(2(2(0(4(0(0(0(4(1(5(4(0(1(5(5(4(x1)))))))))))))))))))))))))))))
, 4(5(2(5(5(0(5(5(4(1(2(1(0(5(3(1(2(3(0(2(5(0(0(1(1(3(4(0(1(x1)))))))))))))))))))))))))))))
->
4(5(2(5(5(0(5(5(4(1(2(1(0(5(1(3(2(3(0(2(5(0(0(1(1(3(4(0(1(x1)))))))))))))))))))))))))))))
, 4(2(4(1(1(1(3(1(0(5(4(1(3(0(3(0(2(0(2(2(5(0(2(1(2(1(2(0(3(x1)))))))))))))))))))))))))))))
->
4(2(4(1(1(3(1(2(1(4(0(3(1(3(5(2(0(0(0(0(5(0(2(2(2(1(1(2(3(x1)))))))))))))))))))))))))))))
, 5(3(4(4(3(4(0(4(5(3(3(4(2(4(5(2(2(2(2(0(2(0(1(2(1(3(2(0(x1))))))))))))))))))))))))))))
->
5(3(4(4(3(4(0(5(4(3(3(4(2(4(5(2(2(2(2(0(2(0(1(2(1(3(2(0(x1))))))))))))))))))))))))))))
, 2(5(4(2(5(3(2(3(3(4(5(5(2(1(5(1(3(1(0(2(3(5(4(0(2(5(1(5(x1))))))))))))))))))))))))))))
->
2(5(5(4(3(2(3(5(4(5(2(3(2(5(1(5(1(4(2(1(1(2(5(3(3(0(0(5(x1))))))))))))))))))))))))))))
, 2(5(2(0(0(3(1(1(4(1(0(3(4(4(4(3(5(0(5(4(0(3(5(3(4(4(2(3(x1))))))))))))))))))))))))))))
->
2(5(2(0(0(3(1(1(3(4(1(0(4(4(4(3(5(0(5(4(3(0(3(5(4(4(2(3(x1))))))))))))))))))))))))))))
, 5(2(0(0(1(3(0(5(3(1(4(4(0(5(3(5(5(2(3(4(3(5(0(0(4(3(3(x1)))))))))))))))))))))))))))
->
5(2(0(0(1(3(0(5(3(1(4(4(0(5(5(3(5(2(3(4(3(5(0(0(4(3(3(x1)))))))))))))))))))))))))))
, 0(1(0(0(0(5(4(5(4(5(2(2(4(0(5(5(2(2(2(4(2(3(0(4(5(3(0(x1)))))))))))))))))))))))))))
->
0(1(0(0(0(5(4(5(4(5(2(2(4(0(5(5(2(2(4(2(2(3(0(4(5(3(0(x1)))))))))))))))))))))))))))
, 4(2(4(0(2(0(0(1(4(4(4(2(1(0(0(4(5(4(2(4(2(1(1(1(1(3(x1))))))))))))))))))))))))))
->
4(2(4(0(2(0(0(1(4(4(4(2(1(0(0(4(5(2(4(4(2(1(1(1(1(3(x1))))))))))))))))))))))))))
, 4(5(5(5(4(2(1(4(2(1(2(1(5(1(0(0(0(0(5(4(1(3(4(5(1(x1)))))))))))))))))))))))))
->
4(5(5(5(4(2(1(4(2(1(2(1(5(1(0(0(0(0(5(4(1(4(3(5(1(x1)))))))))))))))))))))))))
, 3(3(0(4(4(3(3(1(3(0(3(5(4(1(0(1(0(5(2(3(4(1(3(4(1(x1)))))))))))))))))))))))))
->
3(3(0(4(4(3(3(1(3(3(0(5(4(1(0(1(0(5(2(3(4(1(3(4(1(x1)))))))))))))))))))))))))
, 3(0(1(2(2(1(2(1(5(4(1(3(5(4(2(4(0(3(3(3(1(3(5(1(x1))))))))))))))))))))))))
->
3(0(1(2(2(1(2(1(5(4(1(3(4(5(2(4(0(3(3(3(1(3(5(1(x1))))))))))))))))))))))))
, 5(0(4(1(0(1(0(3(1(1(0(3(3(4(5(5(2(5(0(3(1(0(2(x1)))))))))))))))))))))))
->
5(0(1(4(0(1(0(3(1(1(0(3(3(5(4(5(2(5(0(3(1(0(2(x1)))))))))))))))))))))))
, 2(4(4(3(3(3(0(3(1(3(2(5(3(2(0(3(1(3(3(3(1(3(2(x1)))))))))))))))))))))))
->
2(4(3(4(3(3(0(3(3(5(2(1(2(3(0(3(1(3(3(3(1(3(2(x1)))))))))))))))))))))))
, 4(2(1(0(2(0(1(3(3(1(4(0(1(4(4(4(3(5(5(0(4(5(x1))))))))))))))))))))))
->
4(2(1(0(0(2(1(3(3(1(4(0(1(4(4(4(3(5(5(0(4(5(x1))))))))))))))))))))))
, 0(1(1(4(3(2(3(3(5(5(4(5(3(3(4(1(2(0(3(0(4(0(x1))))))))))))))))))))))
->
0(1(1(4(3(2(3(3(5(5(4(5(3(3(1(4(2(0(3(0(4(0(x1))))))))))))))))))))))
, 3(4(4(5(1(2(1(0(4(4(0(1(3(4(4(3(5(2(1(1(1(x1)))))))))))))))))))))
->
3(4(4(5(2(1(0(1(4(4(4(0(1(4(3(3(1(1(5(2(1(x1)))))))))))))))))))))
, 2(5(5(2(0(3(1(2(3(4(5(3(4(2(3(3(1(4(1(1(4(x1)))))))))))))))))))))
->
2(5(5(2(0(3(1(2(4(3(5(3(4(2(3(3(1(4(1(1(4(x1)))))))))))))))))))))
, 1(2(2(0(3(2(3(2(3(0(1(5(0(0(5(5(3(0(5(3(x1)))))))))))))))))))) ->
1(2(2(0(3(2(3(2(3(0(1(5(0(5(0(5(3(0(5(3(x1))))))))))))))))))))
, 0(3(5(4(5(5(3(4(4(1(2(1(2(2(0(1(2(4(2(4(x1)))))))))))))))))))) ->
0(3(5(4(5(3(5(4(4(1(1(2(2(1(2(0(2(4(2(4(x1))))))))))))))))))))
, 0(1(2(0(0(0(0(0(2(3(4(4(4(5(1(5(5(5(5(x1))))))))))))))))))) ->
0(4(0(1(5(2(4(3(0(0(0(4(5(5(5(5(2(1(0(x1)))))))))))))))))))
, 0(0(5(1(5(3(4(2(5(5(1(5(1(0(2(0(4(1(x1)))))))))))))))))) ->
0(0(5(1(5(3(4(2(5(5(1(5(1(0(0(2(4(1(x1))))))))))))))))))
, 0(5(0(4(2(4(0(1(1(3(2(1(0(5(0(3(1(x1))))))))))))))))) ->
0(5(0(4(2(4(0(1(1(3(2(1(0(0(5(3(1(x1)))))))))))))))))
, 1(3(3(2(4(2(2(2(1(5(2(0(5(5(4(5(x1)))))))))))))))) ->
1(3(3(2(4(2(2(2(1(5(2(5(0(5(4(5(x1))))))))))))))))
, 1(1(4(0(3(4(1(0(1(1(2(0(3(2(0(4(x1)))))))))))))))) ->
1(1(0(1(4(4(0(1(3(1(0(0(3(2(2(4(x1))))))))))))))))
, 5(0(3(4(1(5(5(0(0(0(3(4(4(1(1(x1))))))))))))))) ->
3(4(0(0(1(4(3(5(5(5(1(0(0(4(1(x1)))))))))))))))
, 3(5(3(3(2(5(0(0(2(2(0(4(1(4(5(x1))))))))))))))) ->
3(5(3(3(2(5(0(0(2(2(4(0(1(4(5(x1)))))))))))))))
, 3(1(4(0(4(1(0(2(0(0(3(0(4(5(x1)))))))))))))) ->
3(1(4(0(1(4(0(2(0(0(3(0(4(5(x1))))))))))))))
, 2(5(1(2(0(0(5(1(5(0(4(2(5(4(x1)))))))))))))) ->
2(5(2(1(0(5(5(1(0(4(0(2(5(4(x1))))))))))))))
, 1(0(1(0(5(5(2(2(5(1(0(0(5(4(x1)))))))))))))) ->
1(0(1(0(5(5(2(2(1(5(0(0(5(4(x1))))))))))))))
, 5(3(1(2(5(0(5(3(3(4(5(3(x1)))))))))))) ->
2(4(4(2(2(4(2(0(3(2(x1))))))))))
, 5(3(0(5(0(4(1(0(4(4(1(1(x1)))))))))))) ->
2(1(5(0(2(0(3(2(3(3(x1))))))))))
, 5(2(0(4(5(0(5(5(1(0(1(0(x1)))))))))))) ->
1(1(4(4(3(1(2(2(4(2(x1))))))))))
, 2(1(4(5(0(4(0(1(0(1(2(0(x1)))))))))))) ->
2(1(4(5(0(4(0(0(1(1(2(0(x1))))))))))))
, 1(0(0(3(4(1(0(4(1(2(0(4(x1)))))))))))) ->
3(0(0(0(2(2(2(2(3(0(x1))))))))))
, 0(0(1(5(3(5(2(4(0(5(3(4(x1)))))))))))) ->
1(2(5(0(1(2(1(3(4(4(x1))))))))))
, 5(4(4(0(2(4(3(1(3(0(5(x1))))))))))) ->
4(2(5(3(3(5(3(0(4(0(x1))))))))))
, 5(3(0(0(0(0(3(2(5(2(1(x1))))))))))) ->
2(4(1(5(5(2(4(3(1(0(x1))))))))))
, 5(2(4(0(5(1(4(0(5(1(5(x1))))))))))) ->
4(3(3(4(4(4(4(5(0(1(x1))))))))))
, 5(1(4(0(5(5(2(3(5(0(0(x1))))))))))) ->
5(3(3(1(4(3(0(2(3(4(x1))))))))))
, 5(1(0(0(5(3(3(0(4(3(4(x1))))))))))) ->
3(0(5(2(0(0(1(1(1(5(x1))))))))))
, 5(0(0(5(1(3(4(3(5(1(3(x1))))))))))) ->
3(1(3(5(2(2(4(3(3(0(x1))))))))))
, 4(5(5(2(3(4(5(1(1(0(5(x1))))))))))) ->
0(3(0(1(2(3(3(4(2(3(x1))))))))))
, 4(4(2(0(1(5(5(2(0(0(5(x1))))))))))) ->
3(3(2(0(3(4(5(1(5(4(x1))))))))))
, 4(4(1(2(3(2(2(0(4(2(5(x1))))))))))) ->
0(4(1(4(2(2(4(5(3(5(x1))))))))))
, 4(3(5(5(0(1(0(1(1(0(1(x1))))))))))) ->
2(0(5(2(0(1(1(5(5(1(x1))))))))))
, 4(2(2(1(0(4(4(5(0(4(5(x1))))))))))) ->
3(5(5(2(0(4(5(2(5(5(x1))))))))))
, 4(1(4(0(0(4(4(5(3(0(0(x1))))))))))) ->
1(4(5(5(5(4(5(3(3(0(x1))))))))))
, 4(1(0(3(5(4(4(3(3(4(5(x1))))))))))) ->
5(3(0(0(1(4(5(5(2(0(x1))))))))))
, 3(4(0(3(3(5(5(1(4(5(3(x1))))))))))) ->
1(5(0(3(2(0(4(4(1(3(x1))))))))))
, 3(3(1(2(3(1(2(1(0(1(2(x1))))))))))) ->
0(3(0(4(0(2(5(1(3(5(x1))))))))))
, 3(2(2(3(2(0(3(0(2(1(4(x1))))))))))) ->
5(4(2(2(4(3(5(3(0(5(x1))))))))))
, 3(2(0(5(4(2(5(0(4(2(1(x1))))))))))) ->
3(2(3(5(2(5(5(5(1(4(x1))))))))))
, 3(1(5(1(5(0(5(1(3(4(2(x1))))))))))) ->
5(4(3(4(0(3(4(0(0(3(x1))))))))))
, 3(1(3(5(4(4(0(5(1(0(0(x1))))))))))) ->
4(3(5(1(2(2(0(1(2(5(x1))))))))))
, 3(1(0(4(1(1(3(3(2(3(4(x1))))))))))) ->
1(1(5(3(5(2(1(2(3(5(x1))))))))))
, 3(0(1(2(0(0(2(0(5(2(5(x1))))))))))) ->
0(4(1(3(4(5(3(1(0(4(x1))))))))))
, 2(5(3(5(3(4(5(0(0(0(2(x1))))))))))) ->
0(5(1(3(1(0(1(1(4(2(x1))))))))))
, 2(1(4(3(3(1(0(5(2(5(1(x1))))))))))) ->
1(3(4(5(5(4(0(0(2(1(x1))))))))))
, 1(5(2(4(2(0(0(1(0(5(0(x1))))))))))) ->
1(1(2(3(4(0(1(5(4(1(x1))))))))))
, 1(4(4(4(2(4(1(3(5(0(2(x1))))))))))) ->
3(0(5(2(4(1(2(0(2(5(x1))))))))))
, 1(4(4(1(0(4(2(5(0(3(2(x1))))))))))) ->
3(3(5(3(2(3(0(3(1(2(x1))))))))))
, 1(4(2(4(5(2(3(1(0(1(4(x1))))))))))) ->
4(0(1(0(3(4(4(1(1(0(x1))))))))))
, 1(4(2(0(1(5(4(5(4(3(1(x1))))))))))) ->
2(3(2(5(5(5(5(0(0(4(x1))))))))))
, 1(3(4(5(0(3(3(2(1(4(3(x1))))))))))) ->
4(5(1(0(3(3(4(2(3(4(x1))))))))))
, 1(3(4(2(0(5(2(0(4(4(4(x1))))))))))) ->
3(0(1(3(0(1(0(2(3(5(x1))))))))))
, 1(3(0(2(0(5(0(0(1(1(4(x1))))))))))) ->
5(2(4(0(0(5(3(0(3(0(x1))))))))))
, 1(3(0(1(5(5(3(3(5(3(3(x1))))))))))) ->
5(2(1(3(0(2(5(5(2(0(x1))))))))))
, 1(2(4(5(5(3(2(4(1(1(5(x1))))))))))) ->
3(4(1(5(3(1(1(4(0(3(x1))))))))))
, 1(1(2(5(1(4(2(5(5(2(4(x1))))))))))) ->
0(2(2(2(5(3(1(1(0(4(x1))))))))))
, 1(0(2(3(2(3(3(0(3(2(0(x1))))))))))) ->
3(2(2(3(5(5(1(4(0(1(x1))))))))))
, 1(0(0(2(2(3(5(0(2(0(4(x1))))))))))) ->
2(1(1(3(5(2(2(5(4(4(x1))))))))))
, 0(4(5(2(5(5(4(3(5(1(0(x1))))))))))) ->
5(3(4(5(5(3(3(5(4(4(x1))))))))))
, 0(3(1(4(0(1(2(0(3(5(0(x1))))))))))) ->
1(5(4(0(2(5(3(4(3(4(x1))))))))))
, 0(3(1(3(4(4(4(1(2(5(2(x1))))))))))) ->
1(4(3(2(2(1(1(1(3(4(x1))))))))))
, 0(1(5(2(0(5(3(3(0(2(2(x1))))))))))) ->
4(1(5(3(0(3(0(2(0(4(x1))))))))))
, 0(0(5(1(0(0(5(4(3(4(1(x1))))))))))) ->
2(1(4(0(1(5(4(3(4(2(x1))))))))))
, 0(0(0(4(5(5(2(4(5(1(3(x1))))))))))) ->
3(1(3(5(4(2(5(1(1(1(x1))))))))))
, 5(0(1(5(1(2(2(1(4(1(x1)))))))))) ->
5(0(1(1(5(2(2(1(4(1(x1))))))))))
, 4(2(2(2(2(4(4(4(1(3(x1)))))))))) ->
4(5(5(0(3(5(0(2(5(1(x1))))))))))
, 3(5(2(1(2(0(5(4(2(4(x1)))))))))) ->
3(5(2(1(2(5(0(4(2(4(x1))))))))))
, 1(2(2(5(1(1(2(4(2(0(x1)))))))))) ->
2(4(1(5(4(3(4(1(3(0(x1))))))))))
, 1(0(0(2(2(2(5(2(3(3(x1)))))))))) ->
0(1(2(3(0(0(5(5(4(3(x1))))))))))
, 1(4(4(3(4(2(3(0(0(x1))))))))) -> 1(4(3(0(4(3(2(4(0(x1)))))))))
, 1(1(1(2(4(4(5(1(x1)))))))) -> 1(1(1(5(1(4(4(2(x1))))))))
, 0(3(1(2(1(2(0(4(x1)))))))) -> 0(3(0(1(2(2(1(4(x1))))))))
, 4(3(4(1(2(4(4(x1))))))) -> 4(4(1(4(3(2(4(x1)))))))
, 3(1(2(4(5(3(3(x1))))))) -> 3(1(5(4(2(3(3(x1)))))))
, 0(3(3(2(0(2(2(x1))))))) -> 0(3(2(3(2(0(2(x1)))))))
, 0(0(1(2(3(3(1(x1))))))) -> 0(0(1(3(2(3(1(x1)))))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool TRI2
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 5(0(0(0(3(5(5(5(4(0(0(5(5(2(0(2(4(0(0(0(4(1(5(0(4(1(5(5(4(x1)))))))))))))))))))))))))))))
->
5(0(0(0(3(5(5(5(4(0(0(5(5(2(2(0(4(0(0(0(4(1(5(4(0(1(5(5(4(x1)))))))))))))))))))))))))))))
, 4(5(2(5(5(0(5(5(4(1(2(1(0(5(3(1(2(3(0(2(5(0(0(1(1(3(4(0(1(x1)))))))))))))))))))))))))))))
->
4(5(2(5(5(0(5(5(4(1(2(1(0(5(1(3(2(3(0(2(5(0(0(1(1(3(4(0(1(x1)))))))))))))))))))))))))))))
, 4(2(4(1(1(1(3(1(0(5(4(1(3(0(3(0(2(0(2(2(5(0(2(1(2(1(2(0(3(x1)))))))))))))))))))))))))))))
->
4(2(4(1(1(3(1(2(1(4(0(3(1(3(5(2(0(0(0(0(5(0(2(2(2(1(1(2(3(x1)))))))))))))))))))))))))))))
, 5(3(4(4(3(4(0(4(5(3(3(4(2(4(5(2(2(2(2(0(2(0(1(2(1(3(2(0(x1))))))))))))))))))))))))))))
->
5(3(4(4(3(4(0(5(4(3(3(4(2(4(5(2(2(2(2(0(2(0(1(2(1(3(2(0(x1))))))))))))))))))))))))))))
, 2(5(4(2(5(3(2(3(3(4(5(5(2(1(5(1(3(1(0(2(3(5(4(0(2(5(1(5(x1))))))))))))))))))))))))))))
->
2(5(5(4(3(2(3(5(4(5(2(3(2(5(1(5(1(4(2(1(1(2(5(3(3(0(0(5(x1))))))))))))))))))))))))))))
, 2(5(2(0(0(3(1(1(4(1(0(3(4(4(4(3(5(0(5(4(0(3(5(3(4(4(2(3(x1))))))))))))))))))))))))))))
->
2(5(2(0(0(3(1(1(3(4(1(0(4(4(4(3(5(0(5(4(3(0(3(5(4(4(2(3(x1))))))))))))))))))))))))))))
, 5(2(0(0(1(3(0(5(3(1(4(4(0(5(3(5(5(2(3(4(3(5(0(0(4(3(3(x1)))))))))))))))))))))))))))
->
5(2(0(0(1(3(0(5(3(1(4(4(0(5(5(3(5(2(3(4(3(5(0(0(4(3(3(x1)))))))))))))))))))))))))))
, 0(1(0(0(0(5(4(5(4(5(2(2(4(0(5(5(2(2(2(4(2(3(0(4(5(3(0(x1)))))))))))))))))))))))))))
->
0(1(0(0(0(5(4(5(4(5(2(2(4(0(5(5(2(2(4(2(2(3(0(4(5(3(0(x1)))))))))))))))))))))))))))
, 4(2(4(0(2(0(0(1(4(4(4(2(1(0(0(4(5(4(2(4(2(1(1(1(1(3(x1))))))))))))))))))))))))))
->
4(2(4(0(2(0(0(1(4(4(4(2(1(0(0(4(5(2(4(4(2(1(1(1(1(3(x1))))))))))))))))))))))))))
, 4(5(5(5(4(2(1(4(2(1(2(1(5(1(0(0(0(0(5(4(1(3(4(5(1(x1)))))))))))))))))))))))))
->
4(5(5(5(4(2(1(4(2(1(2(1(5(1(0(0(0(0(5(4(1(4(3(5(1(x1)))))))))))))))))))))))))
, 3(3(0(4(4(3(3(1(3(0(3(5(4(1(0(1(0(5(2(3(4(1(3(4(1(x1)))))))))))))))))))))))))
->
3(3(0(4(4(3(3(1(3(3(0(5(4(1(0(1(0(5(2(3(4(1(3(4(1(x1)))))))))))))))))))))))))
, 3(0(1(2(2(1(2(1(5(4(1(3(5(4(2(4(0(3(3(3(1(3(5(1(x1))))))))))))))))))))))))
->
3(0(1(2(2(1(2(1(5(4(1(3(4(5(2(4(0(3(3(3(1(3(5(1(x1))))))))))))))))))))))))
, 5(0(4(1(0(1(0(3(1(1(0(3(3(4(5(5(2(5(0(3(1(0(2(x1)))))))))))))))))))))))
->
5(0(1(4(0(1(0(3(1(1(0(3(3(5(4(5(2(5(0(3(1(0(2(x1)))))))))))))))))))))))
, 2(4(4(3(3(3(0(3(1(3(2(5(3(2(0(3(1(3(3(3(1(3(2(x1)))))))))))))))))))))))
->
2(4(3(4(3(3(0(3(3(5(2(1(2(3(0(3(1(3(3(3(1(3(2(x1)))))))))))))))))))))))
, 4(2(1(0(2(0(1(3(3(1(4(0(1(4(4(4(3(5(5(0(4(5(x1))))))))))))))))))))))
->
4(2(1(0(0(2(1(3(3(1(4(0(1(4(4(4(3(5(5(0(4(5(x1))))))))))))))))))))))
, 0(1(1(4(3(2(3(3(5(5(4(5(3(3(4(1(2(0(3(0(4(0(x1))))))))))))))))))))))
->
0(1(1(4(3(2(3(3(5(5(4(5(3(3(1(4(2(0(3(0(4(0(x1))))))))))))))))))))))
, 3(4(4(5(1(2(1(0(4(4(0(1(3(4(4(3(5(2(1(1(1(x1)))))))))))))))))))))
->
3(4(4(5(2(1(0(1(4(4(4(0(1(4(3(3(1(1(5(2(1(x1)))))))))))))))))))))
, 2(5(5(2(0(3(1(2(3(4(5(3(4(2(3(3(1(4(1(1(4(x1)))))))))))))))))))))
->
2(5(5(2(0(3(1(2(4(3(5(3(4(2(3(3(1(4(1(1(4(x1)))))))))))))))))))))
, 1(2(2(0(3(2(3(2(3(0(1(5(0(0(5(5(3(0(5(3(x1)))))))))))))))))))) ->
1(2(2(0(3(2(3(2(3(0(1(5(0(5(0(5(3(0(5(3(x1))))))))))))))))))))
, 0(3(5(4(5(5(3(4(4(1(2(1(2(2(0(1(2(4(2(4(x1)))))))))))))))))))) ->
0(3(5(4(5(3(5(4(4(1(1(2(2(1(2(0(2(4(2(4(x1))))))))))))))))))))
, 0(1(2(0(0(0(0(0(2(3(4(4(4(5(1(5(5(5(5(x1))))))))))))))))))) ->
0(4(0(1(5(2(4(3(0(0(0(4(5(5(5(5(2(1(0(x1)))))))))))))))))))
, 0(0(5(1(5(3(4(2(5(5(1(5(1(0(2(0(4(1(x1)))))))))))))))))) ->
0(0(5(1(5(3(4(2(5(5(1(5(1(0(0(2(4(1(x1))))))))))))))))))
, 0(5(0(4(2(4(0(1(1(3(2(1(0(5(0(3(1(x1))))))))))))))))) ->
0(5(0(4(2(4(0(1(1(3(2(1(0(0(5(3(1(x1)))))))))))))))))
, 1(3(3(2(4(2(2(2(1(5(2(0(5(5(4(5(x1)))))))))))))))) ->
1(3(3(2(4(2(2(2(1(5(2(5(0(5(4(5(x1))))))))))))))))
, 1(1(4(0(3(4(1(0(1(1(2(0(3(2(0(4(x1)))))))))))))))) ->
1(1(0(1(4(4(0(1(3(1(0(0(3(2(2(4(x1))))))))))))))))
, 5(0(3(4(1(5(5(0(0(0(3(4(4(1(1(x1))))))))))))))) ->
3(4(0(0(1(4(3(5(5(5(1(0(0(4(1(x1)))))))))))))))
, 3(5(3(3(2(5(0(0(2(2(0(4(1(4(5(x1))))))))))))))) ->
3(5(3(3(2(5(0(0(2(2(4(0(1(4(5(x1)))))))))))))))
, 3(1(4(0(4(1(0(2(0(0(3(0(4(5(x1)))))))))))))) ->
3(1(4(0(1(4(0(2(0(0(3(0(4(5(x1))))))))))))))
, 2(5(1(2(0(0(5(1(5(0(4(2(5(4(x1)))))))))))))) ->
2(5(2(1(0(5(5(1(0(4(0(2(5(4(x1))))))))))))))
, 1(0(1(0(5(5(2(2(5(1(0(0(5(4(x1)))))))))))))) ->
1(0(1(0(5(5(2(2(1(5(0(0(5(4(x1))))))))))))))
, 5(3(1(2(5(0(5(3(3(4(5(3(x1)))))))))))) ->
2(4(4(2(2(4(2(0(3(2(x1))))))))))
, 5(3(0(5(0(4(1(0(4(4(1(1(x1)))))))))))) ->
2(1(5(0(2(0(3(2(3(3(x1))))))))))
, 5(2(0(4(5(0(5(5(1(0(1(0(x1)))))))))))) ->
1(1(4(4(3(1(2(2(4(2(x1))))))))))
, 2(1(4(5(0(4(0(1(0(1(2(0(x1)))))))))))) ->
2(1(4(5(0(4(0(0(1(1(2(0(x1))))))))))))
, 1(0(0(3(4(1(0(4(1(2(0(4(x1)))))))))))) ->
3(0(0(0(2(2(2(2(3(0(x1))))))))))
, 0(0(1(5(3(5(2(4(0(5(3(4(x1)))))))))))) ->
1(2(5(0(1(2(1(3(4(4(x1))))))))))
, 5(4(4(0(2(4(3(1(3(0(5(x1))))))))))) ->
4(2(5(3(3(5(3(0(4(0(x1))))))))))
, 5(3(0(0(0(0(3(2(5(2(1(x1))))))))))) ->
2(4(1(5(5(2(4(3(1(0(x1))))))))))
, 5(2(4(0(5(1(4(0(5(1(5(x1))))))))))) ->
4(3(3(4(4(4(4(5(0(1(x1))))))))))
, 5(1(4(0(5(5(2(3(5(0(0(x1))))))))))) ->
5(3(3(1(4(3(0(2(3(4(x1))))))))))
, 5(1(0(0(5(3(3(0(4(3(4(x1))))))))))) ->
3(0(5(2(0(0(1(1(1(5(x1))))))))))
, 5(0(0(5(1(3(4(3(5(1(3(x1))))))))))) ->
3(1(3(5(2(2(4(3(3(0(x1))))))))))
, 4(5(5(2(3(4(5(1(1(0(5(x1))))))))))) ->
0(3(0(1(2(3(3(4(2(3(x1))))))))))
, 4(4(2(0(1(5(5(2(0(0(5(x1))))))))))) ->
3(3(2(0(3(4(5(1(5(4(x1))))))))))
, 4(4(1(2(3(2(2(0(4(2(5(x1))))))))))) ->
0(4(1(4(2(2(4(5(3(5(x1))))))))))
, 4(3(5(5(0(1(0(1(1(0(1(x1))))))))))) ->
2(0(5(2(0(1(1(5(5(1(x1))))))))))
, 4(2(2(1(0(4(4(5(0(4(5(x1))))))))))) ->
3(5(5(2(0(4(5(2(5(5(x1))))))))))
, 4(1(4(0(0(4(4(5(3(0(0(x1))))))))))) ->
1(4(5(5(5(4(5(3(3(0(x1))))))))))
, 4(1(0(3(5(4(4(3(3(4(5(x1))))))))))) ->
5(3(0(0(1(4(5(5(2(0(x1))))))))))
, 3(4(0(3(3(5(5(1(4(5(3(x1))))))))))) ->
1(5(0(3(2(0(4(4(1(3(x1))))))))))
, 3(3(1(2(3(1(2(1(0(1(2(x1))))))))))) ->
0(3(0(4(0(2(5(1(3(5(x1))))))))))
, 3(2(2(3(2(0(3(0(2(1(4(x1))))))))))) ->
5(4(2(2(4(3(5(3(0(5(x1))))))))))
, 3(2(0(5(4(2(5(0(4(2(1(x1))))))))))) ->
3(2(3(5(2(5(5(5(1(4(x1))))))))))
, 3(1(5(1(5(0(5(1(3(4(2(x1))))))))))) ->
5(4(3(4(0(3(4(0(0(3(x1))))))))))
, 3(1(3(5(4(4(0(5(1(0(0(x1))))))))))) ->
4(3(5(1(2(2(0(1(2(5(x1))))))))))
, 3(1(0(4(1(1(3(3(2(3(4(x1))))))))))) ->
1(1(5(3(5(2(1(2(3(5(x1))))))))))
, 3(0(1(2(0(0(2(0(5(2(5(x1))))))))))) ->
0(4(1(3(4(5(3(1(0(4(x1))))))))))
, 2(5(3(5(3(4(5(0(0(0(2(x1))))))))))) ->
0(5(1(3(1(0(1(1(4(2(x1))))))))))
, 2(1(4(3(3(1(0(5(2(5(1(x1))))))))))) ->
1(3(4(5(5(4(0(0(2(1(x1))))))))))
, 1(5(2(4(2(0(0(1(0(5(0(x1))))))))))) ->
1(1(2(3(4(0(1(5(4(1(x1))))))))))
, 1(4(4(4(2(4(1(3(5(0(2(x1))))))))))) ->
3(0(5(2(4(1(2(0(2(5(x1))))))))))
, 1(4(4(1(0(4(2(5(0(3(2(x1))))))))))) ->
3(3(5(3(2(3(0(3(1(2(x1))))))))))
, 1(4(2(4(5(2(3(1(0(1(4(x1))))))))))) ->
4(0(1(0(3(4(4(1(1(0(x1))))))))))
, 1(4(2(0(1(5(4(5(4(3(1(x1))))))))))) ->
2(3(2(5(5(5(5(0(0(4(x1))))))))))
, 1(3(4(5(0(3(3(2(1(4(3(x1))))))))))) ->
4(5(1(0(3(3(4(2(3(4(x1))))))))))
, 1(3(4(2(0(5(2(0(4(4(4(x1))))))))))) ->
3(0(1(3(0(1(0(2(3(5(x1))))))))))
, 1(3(0(2(0(5(0(0(1(1(4(x1))))))))))) ->
5(2(4(0(0(5(3(0(3(0(x1))))))))))
, 1(3(0(1(5(5(3(3(5(3(3(x1))))))))))) ->
5(2(1(3(0(2(5(5(2(0(x1))))))))))
, 1(2(4(5(5(3(2(4(1(1(5(x1))))))))))) ->
3(4(1(5(3(1(1(4(0(3(x1))))))))))
, 1(1(2(5(1(4(2(5(5(2(4(x1))))))))))) ->
0(2(2(2(5(3(1(1(0(4(x1))))))))))
, 1(0(2(3(2(3(3(0(3(2(0(x1))))))))))) ->
3(2(2(3(5(5(1(4(0(1(x1))))))))))
, 1(0(0(2(2(3(5(0(2(0(4(x1))))))))))) ->
2(1(1(3(5(2(2(5(4(4(x1))))))))))
, 0(4(5(2(5(5(4(3(5(1(0(x1))))))))))) ->
5(3(4(5(5(3(3(5(4(4(x1))))))))))
, 0(3(1(4(0(1(2(0(3(5(0(x1))))))))))) ->
1(5(4(0(2(5(3(4(3(4(x1))))))))))
, 0(3(1(3(4(4(4(1(2(5(2(x1))))))))))) ->
1(4(3(2(2(1(1(1(3(4(x1))))))))))
, 0(1(5(2(0(5(3(3(0(2(2(x1))))))))))) ->
4(1(5(3(0(3(0(2(0(4(x1))))))))))
, 0(0(5(1(0(0(5(4(3(4(1(x1))))))))))) ->
2(1(4(0(1(5(4(3(4(2(x1))))))))))
, 0(0(0(4(5(5(2(4(5(1(3(x1))))))))))) ->
3(1(3(5(4(2(5(1(1(1(x1))))))))))
, 5(0(1(5(1(2(2(1(4(1(x1)))))))))) ->
5(0(1(1(5(2(2(1(4(1(x1))))))))))
, 4(2(2(2(2(4(4(4(1(3(x1)))))))))) ->
4(5(5(0(3(5(0(2(5(1(x1))))))))))
, 3(5(2(1(2(0(5(4(2(4(x1)))))))))) ->
3(5(2(1(2(5(0(4(2(4(x1))))))))))
, 1(2(2(5(1(1(2(4(2(0(x1)))))))))) ->
2(4(1(5(4(3(4(1(3(0(x1))))))))))
, 1(0(0(2(2(2(5(2(3(3(x1)))))))))) ->
0(1(2(3(0(0(5(5(4(3(x1))))))))))
, 1(4(4(3(4(2(3(0(0(x1))))))))) -> 1(4(3(0(4(3(2(4(0(x1)))))))))
, 1(1(1(2(4(4(5(1(x1)))))))) -> 1(1(1(5(1(4(4(2(x1))))))))
, 0(3(1(2(1(2(0(4(x1)))))))) -> 0(3(0(1(2(2(1(4(x1))))))))
, 4(3(4(1(2(4(4(x1))))))) -> 4(4(1(4(3(2(4(x1)))))))
, 3(1(2(4(5(3(3(x1))))))) -> 3(1(5(4(2(3(3(x1)))))))
, 0(3(3(2(0(2(2(x1))))))) -> 0(3(2(3(2(0(2(x1)))))))
, 0(0(1(2(3(3(1(x1))))))) -> 0(0(1(3(2(3(1(x1)))))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..