Tool Bounds
stdout:
YES(?,O(n^1))
We consider the following Problem:
Strict Trs:
{ 3(0(1(4(4(3(4(2(3(1(2(0(0(4(0(3(5(5(0(1(4(2(1(4(0(1(4(4(1(4(x1))))))))))))))))))))))))))))))
->
3(0(1(4(4(3(4(2(3(1(2(0(0(4(0(3(5(5(0(1(4(2(1(4(0(4(1(4(1(4(x1))))))))))))))))))))))))))))))
, 3(3(4(4(5(0(2(0(4(0(2(4(2(0(1(5(3(0(5(1(5(0(3(1(1(4(0(2(4(x1)))))))))))))))))))))))))))))
->
3(3(4(4(5(0(0(2(4(0(2(4(2(0(1(5(3(0(5(1(5(0(3(1(1(4(0(2(4(x1)))))))))))))))))))))))))))))
, 4(1(5(0(0(3(0(5(5(3(1(2(2(4(5(3(3(4(0(1(2(5(0(3(5(3(0(5(x1))))))))))))))))))))))))))))
->
4(1(5(0(0(3(0(5(5(3(1(2(2(4(5(3(4(3(0(1(2(5(0(3(5(3(0(5(x1))))))))))))))))))))))))))))
, 1(2(1(4(5(1(3(2(3(2(3(2(0(5(3(4(2(5(4(0(1(4(4(1(4(0(1(3(x1))))))))))))))))))))))))))))
->
1(2(1(4(5(1(3(2(3(2(3(2(5(0(3(4(2(5(4(0(1(4(4(1(4(0(1(3(x1))))))))))))))))))))))))))))
, 3(0(3(4(0(5(5(4(4(2(3(2(0(5(1(4(4(4(1(0(2(1(4(3(1(5(5(x1)))))))))))))))))))))))))))
->
3(0(3(4(0(5(5(4(2(4(3(2(0(5(1(4(4(4(1(0(2(1(4(3(1(5(5(x1)))))))))))))))))))))))))))
, 2(4(0(5(5(3(5(5(3(5(1(5(3(1(2(4(5(2(5(2(0(4(2(2(0(1(1(x1)))))))))))))))))))))))))))
->
2(4(0(5(5(3(5(5(3(5(1(5(3(1(2(5(4(2(5(2(0(4(2(2(0(1(1(x1)))))))))))))))))))))))))))
, 2(0(5(3(0(0(0(0(4(3(1(2(1(2(2(3(0(3(1(1(4(4(1(3(5(5(5(x1)))))))))))))))))))))))))))
->
2(0(5(0(3(0(0(0(4(3(1(2(1(2(2(3(0(3(1(1(4(4(1(3(5(5(5(x1)))))))))))))))))))))))))))
, 5(3(2(2(5(5(4(4(4(3(5(2(3(3(5(1(5(0(4(3(0(4(3(5(0(5(x1))))))))))))))))))))))))))
->
5(3(2(2(5(5(4(4(3(4(5(2(3(3(5(1(5(0(4(3(0(4(3(5(0(5(x1))))))))))))))))))))))))))
, 4(2(1(1(2(5(4(0(2(4(4(4(2(3(4(0(5(4(2(1(1(0(1(3(3(0(x1))))))))))))))))))))))))))
->
4(2(1(1(2(5(4(0(2(4(4(4(2(4(3(0(5(4(2(1(1(0(1(3(3(0(x1))))))))))))))))))))))))))
, 1(4(3(5(4(1(0(5(1(2(1(5(3(5(3(1(4(3(4(4(3(4(5(0(2(4(x1))))))))))))))))))))))))))
->
1(4(3(5(4(1(0(1(5(2(1(5(3(5(3(1(4(3(4(4(3(4(5(0(2(4(x1))))))))))))))))))))))))))
, 5(0(4(4(2(1(3(1(3(2(2(4(4(2(0(5(1(2(4(1(2(2(0(5(3(x1)))))))))))))))))))))))))
->
5(0(4(4(2(1(3(1(3(2(2(4(4(2(0(5(2(1(4(1(2(2(0(5(3(x1)))))))))))))))))))))))))
, 4(4(1(4(2(0(0(3(2(3(4(2(3(3(4(3(2(5(0(5(5(2(5(4(2(x1)))))))))))))))))))))))))
->
4(2(4(3(3(0(1(4(2(3(2(0(0(3(3(2(4(4(5(2(5(5(5(4(2(x1)))))))))))))))))))))))))
, 0(2(2(0(2(5(4(3(0(3(0(1(4(1(1(5(4(5(5(4(1(3(2(0(2(x1)))))))))))))))))))))))))
->
2(0(0(2(4(2(3(1(5(0(4(0(3(4(5(1(1(5(4(1(5(2(3(0(2(x1)))))))))))))))))))))))))
, 3(3(1(4(1(4(4(1(3(4(3(4(5(4(0(0(2(5(4(4(5(0(0(1(x1))))))))))))))))))))))))
->
3(3(1(4(1(4(4(1(3(4(3(4(4(5(0(0(2(5(4(4(5(0(0(1(x1))))))))))))))))))))))))
, 2(2(2(4(5(3(4(2(3(4(2(5(0(2(2(5(2(0(5(3(5(3(3(x1)))))))))))))))))))))))
->
2(2(2(4(5(3(4(3(2(4(2(5(0(2(2(5(2(0(5(3(5(3(3(x1)))))))))))))))))))))))
, 1(1(4(3(5(0(0(1(5(0(3(0(5(3(0(1(1(4(5(4(5(3(1(x1)))))))))))))))))))))))
->
1(1(4(3(5(0(0(1(5(0(3(5(0(3(0(1(1(4(5(4(5(3(1(x1)))))))))))))))))))))))
, 5(1(5(0(3(3(1(4(4(3(2(3(1(2(2(3(2(0(0(5(5(x1)))))))))))))))))))))
->
5(4(1(3(3(3(5(1(5(4(2(2(0(0(2(1(2(3(0(3(5(x1)))))))))))))))))))))
, 4(1(5(2(2(2(0(4(2(0(5(1(3(3(1(0(1(5(0(0(4(x1)))))))))))))))))))))
->
4(1(5(2(2(2(0(4(2(0(1(5(3(3(1(0(1(5(0(0(4(x1)))))))))))))))))))))
, 1(4(4(1(4(3(1(0(5(5(4(1(3(3(3(2(3(0(4(4(4(x1)))))))))))))))))))))
->
1(4(4(1(4(3(1(0(5(5(4(1(3(3(2(3(3(0(4(4(4(x1)))))))))))))))))))))
, 1(1(5(2(4(2(5(3(5(2(3(3(4(0(4(4(5(0(5(3(2(x1)))))))))))))))))))))
->
1(1(2(5(4(2(5(3(5(2(3(3(4(0(4(4(5(0(3(5(2(x1)))))))))))))))))))))
, 1(0(0(3(1(0(5(2(3(1(3(0(2(3(0(5(1(1(0(2(5(x1)))))))))))))))))))))
->
1(3(2(0(0(1(0(3(5(1(1(0(2(3(0(2(1(3(0(5(5(x1)))))))))))))))))))))
, 0(5(4(3(4(2(4(0(5(4(1(5(2(0(3(0(3(2(0(1(3(x1)))))))))))))))))))))
->
0(5(4(3(2(4(4(5(0(4(1(5(2(0(3(0(3(1(2(0(3(x1)))))))))))))))))))))
, 3(4(4(5(4(3(5(3(2(2(5(4(1(4(5(5(4(5(4(4(x1)))))))))))))))))))) ->
3(4(4(5(3(4(5(3(2(5(2(1(4(4(5(5(5(4(4(4(x1))))))))))))))))))))
, 3(4(3(3(5(3(5(4(0(5(5(3(5(2(0(1(0(4(3(x1))))))))))))))))))) ->
3(4(3(3(5(3(5(4(0(5(5(5(3(2(0(1(0(4(3(x1)))))))))))))))))))
, 2(1(4(5(3(0(0(5(0(3(0(5(2(5(1(5(3(2(0(x1))))))))))))))))))) ->
2(1(4(5(3(0(0(5(0(0(3(5(2(5(1(5(3(2(0(x1)))))))))))))))))))
, 0(5(4(0(3(2(4(1(5(2(0(5(3(2(5(1(3(1(4(x1))))))))))))))))))) ->
0(5(4(0(3(4(2(1(5(2(0(5(3(2(5(1(3(1(4(x1)))))))))))))))))))
, 4(4(0(5(0(1(4(1(1(4(3(2(2(3(0(4(5(4(x1)))))))))))))))))) ->
4(4(0(5(0(4(1(1(1(4(3(2(2(3(0(4(5(4(x1))))))))))))))))))
, 3(4(1(4(1(0(4(4(4(0(3(4(1(3(4(4(5(3(x1)))))))))))))))))) ->
3(4(1(1(4(0(4(4(4(0(3(4(1(3(4(4(5(3(x1))))))))))))))))))
, 2(2(2(4(3(3(5(3(2(4(1(5(2(0(4(5(5(x1))))))))))))))))) ->
2(2(2(4(3(3(5(2(3(4(1(5(2(0(4(5(5(x1)))))))))))))))))
, 0(0(4(3(3(3(5(0(3(0(1(2(2(2(2(2(2(x1))))))))))))))))) ->
0(0(4(3(3(3(5(3(0(0(1(2(2(2(2(2(2(x1)))))))))))))))))
, 4(4(4(4(2(1(2(3(2(0(2(2(3(5(4(3(x1)))))))))))))))) ->
4(4(4(4(2(1(2(3(0(2(2(2(3(5(4(3(x1))))))))))))))))
, 3(3(5(5(3(0(4(1(3(4(1(2(5(2(4(0(x1)))))))))))))))) ->
3(3(5(5(3(0(4(1(3(4(2(1(5(2(4(0(x1))))))))))))))))
, 4(1(4(2(4(1(1(0(5(4(1(0(5(3(x1)))))))))))))) ->
0(4(1(1(2(4(4(5(4(1(1(0(3(5(x1))))))))))))))
, 3(2(2(0(2(2(4(1(5(0(3(1(1(4(x1)))))))))))))) ->
3(2(2(0(2(2(1(5(4(0(1(3(1(4(x1))))))))))))))
, 3(2(2(1(1(3(1(5(5(5(5(0(1(x1))))))))))))) ->
3(2(1(2(1(3(1(5(5(5(5(0(1(x1)))))))))))))
, 5(2(2(2(2(0(0(0(2(5(0(5(x1)))))))))))) ->
2(1(1(1(4(0(3(5(3(1(x1))))))))))
, 5(2(0(2(5(3(5(5(5(3(0(3(x1)))))))))))) ->
5(1(3(0(1(3(2(2(2(4(x1))))))))))
, 5(1(4(0(0(1(4(3(5(1(2(5(x1)))))))))))) ->
4(4(3(2(3(2(3(1(2(2(x1))))))))))
, 5(0(1(3(4(3(0(4(4(0(0(1(x1)))))))))))) ->
1(3(5(2(3(2(1(1(5(2(x1))))))))))
, 4(0(1(0(4(2(4(0(1(2(2(1(x1)))))))))))) ->
3(3(3(2(4(1(2(3(4(5(x1))))))))))
, 3(1(2(1(2(4(5(4(0(0(4(5(x1)))))))))))) ->
5(5(4(0(1(2(4(2(3(1(x1))))))))))
, 2(5(0(2(1(0(0(2(1(2(4(1(x1)))))))))))) ->
1(2(3(5(4(1(3(1(5(1(x1))))))))))
, 2(0(1(5(2(1(5(0(4(4(2(0(x1)))))))))))) ->
5(2(4(5(4(1(2(3(4(1(x1))))))))))
, 1(4(1(0(0(4(0(5(1(4(1(0(x1)))))))))))) ->
0(0(2(2(5(5(5(4(3(3(x1))))))))))
, 1(3(4(1(5(4(4(1(5(3(5(0(x1)))))))))))) ->
5(1(2(0(4(5(3(4(3(3(x1))))))))))
, 1(3(3(3(3(2(5(0(0(1(0(0(x1)))))))))))) ->
1(0(0(3(0(1(0(3(1(1(x1))))))))))
, 1(2(5(4(2(5(2(4(4(2(1(3(x1)))))))))))) ->
1(5(4(1(2(3(1(4(4(0(x1))))))))))
, 1(2(5(2(3(2(5(0(3(5(4(4(x1)))))))))))) ->
4(1(0(1(3(4(3(2(3(0(x1))))))))))
, 1(0(0(0(2(4(4(5(3(1(3(0(x1)))))))))))) ->
3(2(1(2(4(0(0(0(5(5(x1))))))))))
, 0(5(5(1(5(4(4(3(5(0(2(1(x1)))))))))))) ->
2(2(5(2(2(2(5(4(1(0(x1))))))))))
, 0(4(1(5(5(3(1(0(3(2(0(0(x1)))))))))))) ->
5(2(5(5(1(0(5(0(5(1(x1))))))))))
, 0(4(1(1(3(5(2(5(4(2(0(0(x1)))))))))))) ->
2(5(2(5(3(3(1(2(1(5(x1))))))))))
, 5(5(5(2(4(2(3(1(5(4(2(x1))))))))))) ->
2(1(0(1(0(0(3(2(2(1(x1))))))))))
, 5(2(3(4(0(3(0(2(4(3(5(x1))))))))))) ->
5(2(4(5(4(3(0(1(5(1(x1))))))))))
, 5(2(2(1(5(4(5(4(2(1(5(x1))))))))))) ->
3(5(3(4(3(5(3(4(0(4(x1))))))))))
, 5(0(3(2(0(1(5(1(5(5(0(x1))))))))))) ->
5(1(0(5(5(4(4(2(4(3(x1))))))))))
, 4(5(1(5(2(0(2(5(3(4(1(x1))))))))))) ->
0(1(2(5(5(5(5(4(5(4(x1))))))))))
, 4(4(0(1(4(1(2(0(3(4(0(x1))))))))))) ->
0(5(0(4(2(0(2(5(5(5(x1))))))))))
, 4(3(5(1(3(4(4(3(0(1(3(x1))))))))))) ->
2(0(1(3(1(3(4(3(1(1(x1))))))))))
, 4(3(1(4(0(3(4(0(1(5(2(x1))))))))))) ->
2(5(3(0(4(1(4(4(2(1(x1))))))))))
, 4(2(2(0(1(4(2(2(1(1(2(x1))))))))))) ->
5(5(4(3(2(1(3(3(0(1(x1))))))))))
, 4(2(0(5(1(4(2(3(3(2(0(x1))))))))))) ->
4(2(4(2(5(3(3(0(1(2(0(x1)))))))))))
, 4(0(2(5(4(4(0(2(1(4(3(x1))))))))))) ->
5(1(5(2(4(3(2(0(0(3(x1))))))))))
, 4(0(2(2(4(5(1(2(1(1(3(x1))))))))))) ->
4(4(1(4(4(3(1(0(2(0(x1))))))))))
, 3(5(2(5(3(5(2(3(4(4(3(x1))))))))))) ->
2(0(1(0(5(2(2(2(0(3(x1))))))))))
, 3(1(0(4(5(4(3(2(2(0(3(x1))))))))))) ->
5(4(2(1(4(3(2(0(3(5(x1))))))))))
, 3(0(5(3(4(4(5(3(2(5(4(x1))))))))))) ->
5(5(4(0(3(4(1(0(4(5(x1))))))))))
, 3(0(2(0(0(5(0(3(3(4(1(x1))))))))))) ->
0(4(2(4(4(1(4(5(1(4(x1))))))))))
, 2(5(3(1(1(3(4(5(3(2(4(x1))))))))))) ->
3(4(1(3(3(0(2(4(3(4(x1))))))))))
, 2(2(1(0(3(4(3(4(4(4(5(x1))))))))))) ->
5(4(5(5(4(4(5(0(5(3(x1))))))))))
, 2(1(2(3(2(4(1(5(0(3(2(x1))))))))))) ->
2(2(5(4(4(4(2(3(2(0(x1))))))))))
, 2(1(0(2(2(5(0(0(2(3(3(x1))))))))))) ->
5(2(4(0(4(3(4(5(0(3(x1))))))))))
, 1(4(2(4(4(0(2(3(5(5(1(x1))))))))))) ->
1(2(0(4(4(2(0(2(0(1(x1))))))))))
, 1(4(2(1(1(1(5(2(5(0(5(x1))))))))))) ->
2(4(0(2(1(0(5(1(4(1(x1))))))))))
, 1(3(4(3(3(4(2(4(0(2(2(x1))))))))))) ->
1(4(4(2(1(0(5(2(0(2(x1))))))))))
, 1(1(5(3(0(1(5(0(0(2(3(x1))))))))))) ->
5(4(3(5(1(0(0(3(4(0(x1))))))))))
, 1(1(3(0(5(3(3(3(3(2(0(x1))))))))))) ->
4(2(3(3(2(5(0(4(2(1(x1))))))))))
, 0(4(3(1(5(5(1(5(1(1(3(x1))))))))))) ->
0(1(5(2(2(4(5(2(3(3(x1))))))))))
, 0(4(1(1(4(0(5(3(2(4(0(x1))))))))))) ->
4(4(0(4(5(0(5(2(2(5(x1))))))))))
, 0(2(5(1(2(3(5(0(5(5(4(x1))))))))))) ->
5(0(1(0(5(4(2(4(0(0(x1))))))))))
, 5(0(3(5(1(5(3(2(3(1(x1)))))))))) ->
5(4(1(5(5(4(4(5(1(1(x1))))))))))
, 4(4(5(3(3(2(4(1(3(5(x1)))))))))) ->
0(0(3(5(0(5(1(5(5(2(x1))))))))))
, 4(2(2(2(1(2(2(5(5(3(x1)))))))))) ->
1(2(0(2(1(1(0(2(5(3(x1))))))))))
, 4(2(2(1(4(3(4(0(1(2(x1)))))))))) ->
2(3(0(0(1(4(4(2(4(2(x1))))))))))
, 3(3(2(3(3(2(1(3(3(2(x1)))))))))) ->
3(0(4(2(1(4(5(1(3(3(x1))))))))))
, 1(4(2(5(2(2(5(0(3(1(x1)))))))))) ->
0(5(0(0(3(5(2(5(5(0(x1))))))))))
, 1(0(5(4(5(0(0(0(1(4(x1)))))))))) ->
1(5(0(5(0(4(0(0(1(4(x1))))))))))
, 4(3(0(5(5(0(1(1(2(x1))))))))) -> 4(3(0(5(5(1(0(1(2(x1)))))))))
, 3(2(5(0(1(3(4(5(3(x1))))))))) -> 3(2(5(1(0(3(4(5(3(x1)))))))))
, 3(0(2(4(1(0(3(3(x1)))))))) -> 3(0(2(1(4(0(3(3(x1))))))))
, 0(1(1(2(3(0(1(1(x1)))))))) -> 0(1(1(2(1(3(0(1(x1))))))))}
StartTerms: all
Strategy: none
Certificate: YES(?,O(n^1))
Proof:
The problem is match-bounded by 2.
The enriched problem is compatible with the following automaton:
{ 1_0(1) -> 1
, 1_1(1) -> 109
, 1_1(2) -> 84
, 1_1(4) -> 3
, 1_1(11) -> 10
, 1_1(21) -> 20
, 1_1(24) -> 23
, 1_1(28) -> 27
, 1_1(30) -> 29
, 1_1(44) -> 43
, 1_1(49) -> 48
, 1_1(53) -> 52
, 1_1(54) -> 53
, 1_1(55) -> 223
, 1_1(57) -> 27
, 1_1(58) -> 57
, 1_1(67) -> 66
, 1_1(76) -> 75
, 1_1(83) -> 718
, 1_1(84) -> 1
, 1_1(84) -> 29
, 1_1(84) -> 30
, 1_1(84) -> 83
, 1_1(84) -> 109
, 1_1(84) -> 158
, 1_1(84) -> 292
, 1_1(84) -> 293
, 1_1(84) -> 634
, 1_1(84) -> 653
, 1_1(84) -> 707
, 1_1(84) -> 804
, 1_1(84) -> 835
, 1_1(84) -> 865
, 1_1(84) -> 880
, 1_1(85) -> 109
, 1_1(86) -> 85
, 1_1(89) -> 88
, 1_1(104) -> 103
, 1_1(107) -> 106
, 1_1(108) -> 223
, 1_1(109) -> 158
, 1_1(110) -> 109
, 1_1(123) -> 122
, 1_1(127) -> 126
, 1_1(130) -> 129
, 1_1(133) -> 132
, 1_1(134) -> 109
, 1_1(144) -> 143
, 1_1(147) -> 146
, 1_1(159) -> 109
, 1_1(168) -> 167
, 1_1(170) -> 169
, 1_1(176) -> 175
, 1_1(177) -> 176
, 1_1(180) -> 179
, 1_1(181) -> 630
, 1_1(182) -> 109
, 1_1(197) -> 196
, 1_1(205) -> 109
, 1_1(206) -> 205
, 1_1(207) -> 206
, 1_1(208) -> 3
, 1_1(223) -> 222
, 1_1(224) -> 223
, 1_1(226) -> 225
, 1_1(227) -> 534
, 1_1(228) -> 707
, 1_1(229) -> 27
, 1_1(233) -> 232
, 1_1(235) -> 234
, 1_1(238) -> 237
, 1_1(243) -> 242
, 1_1(254) -> 253
, 1_1(256) -> 255
, 1_1(266) -> 265
, 1_1(268) -> 267
, 1_1(269) -> 763
, 1_1(271) -> 520
, 1_1(276) -> 275
, 1_1(289) -> 630
, 1_1(293) -> 880
, 1_1(294) -> 57
, 1_1(299) -> 298
, 1_1(307) -> 306
, 1_1(308) -> 307
, 1_1(311) -> 310
, 1_1(314) -> 772
, 1_1(315) -> 31
, 1_1(317) -> 316
, 1_1(320) -> 319
, 1_1(353) -> 865
, 1_1(354) -> 84
, 1_1(360) -> 359
, 1_1(368) -> 367
, 1_1(369) -> 368
, 1_1(375) -> 374
, 1_1(380) -> 379
, 1_1(388) -> 387
, 1_1(390) -> 618
, 1_1(399) -> 398
, 1_1(403) -> 402
, 1_1(405) -> 404
, 1_1(409) -> 408
, 1_1(412) -> 411
, 1_1(417) -> 416
, 1_1(425) -> 109
, 1_1(439) -> 618
, 1_1(441) -> 606
, 1_1(442) -> 84
, 1_1(443) -> 109
, 1_1(446) -> 445
, 1_1(450) -> 449
, 1_1(451) -> 450
, 1_1(457) -> 456
, 1_1(459) -> 109
, 1_1(460) -> 109
, 1_1(469) -> 468
, 1_1(476) -> 475
, 1_1(477) -> 707
, 1_1(488) -> 487
, 1_1(506) -> 505
, 1_1(508) -> 134
, 1_1(521) -> 520
, 1_1(527) -> 526
, 1_1(534) -> 3
, 1_1(535) -> 534
, 1_1(541) -> 540
, 1_1(542) -> 541
, 1_1(543) -> 542
, 1_1(550) -> 478
, 1_1(551) -> 550
, 1_1(558) -> 812
, 1_1(560) -> 559
, 1_1(569) -> 568
, 1_1(573) -> 84
, 1_1(582) -> 581
, 1_1(584) -> 581
, 1_1(586) -> 649
, 1_1(590) -> 589
, 1_1(603) -> 602
, 1_1(606) -> 653
, 1_1(607) -> 606
, 1_1(611) -> 610
, 1_1(612) -> 611
, 1_1(618) -> 617
, 1_1(619) -> 109
, 1_1(620) -> 57
, 1_1(621) -> 57
, 1_1(622) -> 57
, 1_1(623) -> 57
, 1_1(624) -> 623
, 1_1(627) -> 619
, 1_1(629) -> 628
, 1_1(631) -> 630
, 1_1(635) -> 508
, 1_1(636) -> 635
, 1_1(638) -> 179
, 1_1(639) -> 182
, 1_1(642) -> 641
, 1_1(650) -> 109
, 1_1(657) -> 656
, 1_1(663) -> 662
, 1_1(669) -> 668
, 1_1(670) -> 653
, 1_1(671) -> 670
, 1_1(674) -> 673
, 1_1(675) -> 109
, 1_1(685) -> 84
, 1_1(686) -> 57
, 1_1(687) -> 28
, 1_1(688) -> 687
, 1_1(689) -> 28
, 1_1(692) -> 691
, 1_1(695) -> 694
, 1_1(697) -> 696
, 1_1(707) -> 27
, 1_1(709) -> 708
, 1_1(717) -> 716
, 1_1(720) -> 719
, 1_1(726) -> 57
, 1_1(727) -> 1
, 1_1(734) -> 857
, 1_1(737) -> 459
, 1_1(738) -> 57
, 1_1(739) -> 57
, 1_1(746) -> 159
, 1_1(748) -> 747
, 1_1(753) -> 752
, 1_1(757) -> 756
, 1_1(758) -> 888
, 1_1(769) -> 536
, 1_1(770) -> 129
, 1_1(772) -> 851
, 1_1(773) -> 772
, 1_1(777) -> 109
, 1_1(778) -> 777
, 1_1(783) -> 782
, 1_1(787) -> 786
, 1_1(792) -> 129
, 1_1(810) -> 809
, 1_1(814) -> 813
, 1_1(819) -> 818
, 1_1(820) -> 881
, 1_1(827) -> 57
, 1_1(836) -> 250
, 1_1(846) -> 57
, 1_1(847) -> 57
, 1_1(850) -> 849
, 1_1(852) -> 851
, 1_1(853) -> 852
, 1_1(855) -> 1
, 1_1(857) -> 28
, 1_1(858) -> 857
, 1_1(863) -> 862
, 1_1(871) -> 57
, 1_1(878) -> 27
, 1_1(879) -> 878
, 1_1(882) -> 881
, 1_1(885) -> 884
, 1_1(887) -> 737
, 1_1(888) -> 3
, 1_2(208) -> 958
, 1_2(227) -> 2505
, 1_2(534) -> 958
, 1_2(535) -> 2505
, 1_2(758) -> 2505
, 1_2(888) -> 958
, 1_2(955) -> 954
, 1_2(1873) -> 1872
, 1_2(1876) -> 1875
, 1_2(2500) -> 2499
, 1_2(2501) -> 2500
, 1_2(2503) -> 2502
, 0_0(1) -> 1
, 0_1(1) -> 228
, 0_1(2) -> 228
, 0_1(3) -> 2
, 0_1(13) -> 12
, 0_1(14) -> 13
, 0_1(16) -> 15
, 0_1(20) -> 19
, 0_1(26) -> 25
, 0_1(28) -> 25
, 0_1(29) -> 874
, 0_1(30) -> 407
, 0_1(31) -> 228
, 0_1(35) -> 34
, 0_1(36) -> 35
, 0_1(39) -> 38
, 0_1(43) -> 42
, 0_1(47) -> 46
, 0_1(51) -> 50
, 0_1(56) -> 55
, 0_1(57) -> 228
, 0_1(60) -> 59
, 0_1(61) -> 60
, 0_1(63) -> 62
, 0_1(75) -> 74
, 0_1(79) -> 78
, 0_1(83) -> 82
, 0_1(84) -> 477
, 0_1(97) -> 96
, 0_1(103) -> 102
, 0_1(108) -> 333
, 0_1(109) -> 108
, 0_1(110) -> 477
, 0_1(113) -> 112
, 0_1(121) -> 120
, 0_1(128) -> 127
, 0_1(133) -> 458
, 0_1(134) -> 228
, 0_1(136) -> 135
, 0_1(154) -> 153
, 0_1(156) -> 808
, 0_1(158) -> 157
, 0_1(159) -> 134
, 0_1(161) -> 160
, 0_1(163) -> 162
, 0_1(164) -> 163
, 0_1(165) -> 164
, 0_1(174) -> 173
, 0_1(181) -> 458
, 0_1(182) -> 108
, 0_1(199) -> 198
, 0_1(202) -> 201
, 0_1(204) -> 709
, 0_1(211) -> 210
, 0_1(219) -> 218
, 0_1(225) -> 224
, 0_1(228) -> 841
, 0_1(229) -> 477
, 0_1(234) -> 233
, 0_1(250) -> 182
, 0_1(263) -> 262
, 0_1(269) -> 773
, 0_1(271) -> 270
, 0_1(275) -> 274
, 0_1(281) -> 280
, 0_1(282) -> 281
, 0_1(293) -> 314
, 0_1(294) -> 159
, 0_1(301) -> 300
, 0_1(303) -> 302
, 0_1(327) -> 326
, 0_1(328) -> 327
, 0_1(345) -> 344
, 0_1(350) -> 349
, 0_1(351) -> 78
, 0_1(353) -> 886
, 0_1(358) -> 357
, 0_1(359) -> 358
, 0_1(362) -> 361
, 0_1(365) -> 364
, 0_1(367) -> 366
, 0_1(374) -> 228
, 0_1(385) -> 384
, 0_1(386) -> 385
, 0_1(391) -> 390
, 0_1(395) -> 394
, 0_1(398) -> 397
, 0_1(404) -> 403
, 0_1(407) -> 406
, 0_1(413) -> 412
, 0_1(423) -> 422
, 0_1(436) -> 435
, 0_1(440) -> 439
, 0_1(442) -> 228
, 0_1(444) -> 443
, 0_1(445) -> 444
, 0_1(447) -> 446
, 0_1(452) -> 451
, 0_1(455) -> 454
, 0_1(458) -> 701
, 0_1(459) -> 1
, 0_1(459) -> 28
, 0_1(459) -> 29
, 0_1(459) -> 30
, 0_1(459) -> 82
, 0_1(459) -> 108
, 0_1(459) -> 109
, 0_1(459) -> 110
, 0_1(459) -> 157
, 0_1(459) -> 227
, 0_1(459) -> 228
, 0_1(459) -> 313
, 0_1(459) -> 330
, 0_1(459) -> 406
, 0_1(459) -> 407
, 0_1(459) -> 424
, 0_1(459) -> 506
, 0_1(459) -> 558
, 0_1(459) -> 561
, 0_1(459) -> 659
, 0_1(459) -> 695
, 0_1(459) -> 812
, 0_1(459) -> 841
, 0_1(467) -> 466
, 0_1(472) -> 471
, 0_1(474) -> 473
, 0_1(477) -> 768
, 0_1(499) -> 498
, 0_1(505) -> 504
, 0_1(507) -> 506
, 0_1(508) -> 228
, 0_1(512) -> 511
, 0_1(513) -> 512
, 0_1(515) -> 514
, 0_1(516) -> 515
, 0_1(523) -> 461
, 0_1(530) -> 529
, 0_1(534) -> 626
, 0_1(536) -> 228
, 0_1(537) -> 536
, 0_1(539) -> 538
, 0_1(549) -> 548
, 0_1(553) -> 552
, 0_1(557) -> 556
, 0_1(572) -> 571
, 0_1(573) -> 459
, 0_1(580) -> 579
, 0_1(581) -> 580
, 0_1(593) -> 592
, 0_1(601) -> 600
, 0_1(619) -> 228
, 0_1(620) -> 1
, 0_1(621) -> 620
, 0_1(622) -> 1
, 0_1(623) -> 1
, 0_1(624) -> 28
, 0_1(638) -> 637
, 0_1(641) -> 640
, 0_1(659) -> 783
, 0_1(661) -> 228
, 0_1(662) -> 661
, 0_1(670) -> 725
, 0_1(671) -> 711
, 0_1(681) -> 680
, 0_1(684) -> 84
, 0_1(685) -> 684
, 0_1(686) -> 1
, 0_1(687) -> 686
, 0_1(688) -> 2
, 0_1(689) -> 688
, 0_1(696) -> 58
, 0_1(701) -> 700
, 0_1(710) -> 709
, 0_1(719) -> 508
, 0_1(721) -> 720
, 0_1(722) -> 721
, 0_1(727) -> 57
, 0_1(728) -> 228
, 0_1(732) -> 639
, 0_1(737) -> 84
, 0_1(738) -> 1
, 0_1(742) -> 460
, 0_1(745) -> 744
, 0_1(746) -> 477
, 0_1(751) -> 750
, 0_1(754) -> 825
, 0_1(763) -> 762
, 0_1(774) -> 746
, 0_1(791) -> 790
, 0_1(801) -> 229
, 0_1(805) -> 85
, 0_1(811) -> 810
, 0_1(815) -> 814
, 0_1(820) -> 819
, 0_1(821) -> 820
, 0_1(833) -> 832
, 0_1(837) -> 836
, 0_1(840) -> 871
, 0_1(846) -> 1
, 0_1(848) -> 847
, 0_1(854) -> 853
, 0_1(855) -> 57
, 0_1(856) -> 855
, 0_1(857) -> 856
, 0_1(865) -> 108
, 0_1(866) -> 742
, 0_1(870) -> 690
, 0_1(872) -> 871
, 0_1(874) -> 873
, 0_1(876) -> 875
, 0_1(880) -> 879
, 0_1(883) -> 882
, 0_1(888) -> 2
, 0_2(958) -> 957
, 0_2(1870) -> 1869
, 0_2(2499) -> 157
, 0_2(2505) -> 2504
, 3_0(1) -> 1
, 3_1(1) -> 110
, 3_1(2) -> 1
, 3_1(2) -> 30
, 3_1(2) -> 83
, 3_1(2) -> 84
, 3_1(2) -> 107
, 3_1(2) -> 109
, 3_1(2) -> 110
, 3_1(2) -> 227
, 3_1(2) -> 293
, 3_1(2) -> 313
, 3_1(2) -> 353
, 3_1(2) -> 441
, 3_1(2) -> 557
, 3_1(2) -> 560
, 3_1(2) -> 609
, 3_1(2) -> 683
, 3_1(2) -> 707
, 3_1(2) -> 722
, 3_1(2) -> 758
, 3_1(2) -> 793
, 3_1(2) -> 835
, 3_1(2) -> 854
, 3_1(2) -> 1876
, 3_1(7) -> 6
, 3_1(10) -> 9
, 3_1(17) -> 16
, 3_1(27) -> 689
, 3_1(29) -> 535
, 3_1(30) -> 793
, 3_1(31) -> 2
, 3_1(46) -> 45
, 3_1(52) -> 51
, 3_1(57) -> 373
, 3_1(62) -> 61
, 3_1(66) -> 65
, 3_1(72) -> 71
, 3_1(74) -> 73
, 3_1(80) -> 79
, 3_1(82) -> 81
, 3_1(83) -> 391
, 3_1(84) -> 535
, 3_1(90) -> 89
, 3_1(92) -> 91
, 3_1(94) -> 93
, 3_1(98) -> 97
, 3_1(108) -> 758
, 3_1(109) -> 373
, 3_1(110) -> 353
, 3_1(111) -> 3
, 3_1(119) -> 118
, 3_1(132) -> 131
, 3_1(134) -> 793
, 3_1(139) -> 138
, 3_1(142) -> 141
, 3_1(146) -> 145
, 3_1(158) -> 689
, 3_1(162) -> 161
, 3_1(167) -> 166
, 3_1(173) -> 172
, 3_1(175) -> 174
, 3_1(181) -> 180
, 3_1(182) -> 110
, 3_1(183) -> 182
, 3_1(190) -> 189
, 3_1(194) -> 193
, 3_1(195) -> 194
, 3_1(201) -> 200
, 3_1(204) -> 203
, 3_1(218) -> 217
, 3_1(222) -> 689
, 3_1(223) -> 771
, 3_1(227) -> 226
, 3_1(228) -> 227
, 3_1(230) -> 229
, 3_1(240) -> 239
, 3_1(242) -> 241
, 3_1(245) -> 244
, 3_1(248) -> 247
, 3_1(250) -> 2
, 3_1(255) -> 254
, 3_1(257) -> 256
, 3_1(269) -> 522
, 3_1(271) -> 351
, 3_1(273) -> 272
, 3_1(274) -> 273
, 3_1(279) -> 278
, 3_1(283) -> 282
, 3_1(284) -> 283
, 3_1(293) -> 110
, 3_1(298) -> 297
, 3_1(304) -> 303
, 3_1(312) -> 699
, 3_1(314) -> 313
, 3_1(321) -> 320
, 3_1(323) -> 322
, 3_1(338) -> 337
, 3_1(340) -> 339
, 3_1(352) -> 351
, 3_1(356) -> 355
, 3_1(363) -> 362
, 3_1(366) -> 365
, 3_1(372) -> 638
, 3_1(376) -> 375
, 3_1(377) -> 376
, 3_1(378) -> 377
, 3_1(390) -> 389
, 3_1(401) -> 400
, 3_1(402) -> 401
, 3_1(407) -> 547
, 3_1(411) -> 410
, 3_1(418) -> 417
, 3_1(419) -> 418
, 3_1(421) -> 420
, 3_1(422) -> 421
, 3_1(424) -> 560
, 3_1(430) -> 429
, 3_1(433) -> 432
, 3_1(434) -> 433
, 3_1(441) -> 440
, 3_1(442) -> 84
, 3_1(448) -> 447
, 3_1(454) -> 453
, 3_1(458) -> 457
, 3_1(459) -> 2
, 3_1(462) -> 461
, 3_1(473) -> 472
, 3_1(475) -> 474
, 3_1(477) -> 758
, 3_1(481) -> 480
, 3_1(484) -> 483
, 3_1(493) -> 478
, 3_1(494) -> 493
, 3_1(496) -> 495
, 3_1(503) -> 502
, 3_1(511) -> 510
, 3_1(517) -> 516
, 3_1(524) -> 523
, 3_1(532) -> 531
, 3_1(545) -> 544
, 3_1(548) -> 547
, 3_1(558) -> 557
, 3_1(561) -> 560
, 3_1(562) -> 883
, 3_1(563) -> 336
, 3_1(564) -> 563
, 3_1(567) -> 566
, 3_1(573) -> 353
, 3_1(575) -> 574
, 3_1(576) -> 575
, 3_1(577) -> 576
, 3_1(579) -> 578
, 3_1(592) -> 591
, 3_1(597) -> 596
, 3_1(600) -> 599
, 3_1(604) -> 603
, 3_1(609) -> 821
, 3_1(619) -> 2
, 3_1(620) -> 2
, 3_1(621) -> 2
, 3_1(622) -> 2
, 3_1(623) -> 2
, 3_1(626) -> 535
, 3_1(630) -> 629
, 3_1(640) -> 639
, 3_1(643) -> 642
, 3_1(645) -> 536
, 3_1(647) -> 646
, 3_1(649) -> 648
, 3_1(652) -> 651
, 3_1(654) -> 31
, 3_1(659) -> 658
, 3_1(666) -> 85
, 3_1(670) -> 669
, 3_1(679) -> 683
, 3_1(684) -> 2
, 3_1(685) -> 353
, 3_1(686) -> 685
, 3_1(687) -> 2
, 3_1(689) -> 84
, 3_1(694) -> 693
, 3_1(696) -> 2
, 3_1(698) -> 697
, 3_1(707) -> 771
, 3_1(715) -> 714
, 3_1(716) -> 715
, 3_1(718) -> 669
, 3_1(723) -> 722
, 3_1(725) -> 673
, 3_1(727) -> 726
, 3_1(729) -> 728
, 3_1(731) -> 730
, 3_1(737) -> 2
, 3_1(738) -> 2
, 3_1(739) -> 3
, 3_1(747) -> 746
, 3_1(749) -> 748
, 3_1(750) -> 712
, 3_1(755) -> 661
, 3_1(758) -> 757
, 3_1(761) -> 760
, 3_1(762) -> 761
, 3_1(767) -> 766
, 3_1(772) -> 771
, 3_1(780) -> 779
, 3_1(781) -> 662
, 3_1(789) -> 550
, 3_1(790) -> 789
, 3_1(793) -> 353
, 3_1(803) -> 802
, 3_1(817) -> 374
, 3_1(822) -> 205
, 3_1(823) -> 822
, 3_1(840) -> 2
, 3_1(846) -> 573
, 3_1(848) -> 2
, 3_1(855) -> 134
, 3_1(856) -> 2
, 3_1(867) -> 866
, 3_1(872) -> 2
, 3_1(875) -> 57
, 3_1(879) -> 758
, 3_2(27) -> 1877
, 3_2(620) -> 1877
, 3_2(622) -> 1877
, 3_2(623) -> 1877
, 3_2(738) -> 1877
, 3_2(953) -> 952
, 3_2(956) -> 955
, 3_2(957) -> 956
, 3_2(1869) -> 353
, 3_2(1877) -> 1876
, 3_2(2504) -> 2503
, 2_0(1) -> 1
, 2_1(1) -> 293
, 2_1(9) -> 8
, 2_1(12) -> 11
, 2_1(23) -> 22
, 2_1(27) -> 619
, 2_1(30) -> 56
, 2_1(37) -> 36
, 2_1(40) -> 39
, 2_1(42) -> 41
, 2_1(56) -> 644
, 2_1(57) -> 57
, 2_1(58) -> 109
, 2_1(68) -> 67
, 2_1(69) -> 68
, 2_1(77) -> 76
, 2_1(83) -> 835
, 2_1(84) -> 182
, 2_1(85) -> 84
, 2_1(91) -> 90
, 2_1(93) -> 92
, 2_1(95) -> 94
, 2_1(100) -> 99
, 2_1(108) -> 156
, 2_1(109) -> 724
, 2_1(110) -> 312
, 2_1(117) -> 116
, 2_1(120) -> 119
, 2_1(129) -> 128
, 2_1(132) -> 717
, 2_1(133) -> 835
, 2_1(134) -> 1
, 2_1(134) -> 29
, 2_1(134) -> 30
, 2_1(134) -> 56
, 2_1(134) -> 82
, 2_1(134) -> 83
, 2_1(134) -> 109
, 2_1(134) -> 110
, 2_1(134) -> 133
, 2_1(134) -> 181
, 2_1(134) -> 202
, 2_1(134) -> 228
, 2_1(134) -> 269
, 2_1(134) -> 292
, 2_1(134) -> 293
, 2_1(134) -> 314
, 2_1(134) -> 391
, 2_1(134) -> 407
, 2_1(134) -> 440
, 2_1(134) -> 441
, 2_1(134) -> 458
, 2_1(134) -> 507
, 2_1(134) -> 585
, 2_1(134) -> 586
, 2_1(134) -> 608
, 2_1(134) -> 643
, 2_1(134) -> 724
, 2_1(148) -> 147
, 2_1(151) -> 150
, 2_1(153) -> 152
, 2_1(156) -> 155
, 2_1(157) -> 156
, 2_1(169) -> 168
, 2_1(171) -> 170
, 2_1(172) -> 171
, 2_1(181) -> 745
, 2_1(182) -> 293
, 2_1(184) -> 183
, 2_1(185) -> 184
, 2_1(193) -> 192
, 2_1(205) -> 57
, 2_1(208) -> 207
, 2_1(212) -> 211
, 2_1(216) -> 215
, 2_1(222) -> 221
, 2_1(227) -> 312
, 2_1(228) -> 269
, 2_1(237) -> 236
, 2_1(253) -> 252
, 2_1(258) -> 257
, 2_1(259) -> 258
, 2_1(262) -> 261
, 2_1(265) -> 264
, 2_1(268) -> 775
, 2_1(269) -> 268
, 2_1(270) -> 269
, 2_1(271) -> 854
, 2_1(278) -> 277
, 2_1(280) -> 279
, 2_1(285) -> 284
, 2_1(289) -> 288
, 2_1(292) -> 860
, 2_1(293) -> 586
, 2_1(295) -> 294
, 2_1(297) -> 296
, 2_1(313) -> 312
, 2_1(314) -> 816
, 2_1(329) -> 328
, 2_1(334) -> 134
, 2_1(335) -> 334
, 2_1(341) -> 340
, 2_1(343) -> 342
, 2_1(346) -> 345
, 2_1(347) -> 346
, 2_1(349) -> 348
, 2_1(353) -> 830
, 2_1(373) -> 665
, 2_1(383) -> 382
, 2_1(384) -> 383
, 2_1(387) -> 386
, 2_1(389) -> 388
, 2_1(390) -> 780
, 2_1(392) -> 59
, 2_1(393) -> 392
, 2_1(394) -> 393
, 2_1(397) -> 396
, 2_1(420) -> 419
, 2_1(425) -> 354
, 2_1(428) -> 427
, 2_1(432) -> 431
, 2_1(443) -> 442
, 2_1(453) -> 452
, 2_1(456) -> 455
, 2_1(459) -> 57
, 2_1(463) -> 462
, 2_1(471) -> 470
, 2_1(476) -> 776
, 2_1(477) -> 476
, 2_1(485) -> 484
, 2_1(487) -> 486
, 2_1(504) -> 503
, 2_1(507) -> 736
, 2_1(519) -> 518
, 2_1(522) -> 800
, 2_1(526) -> 525
, 2_1(529) -> 528
, 2_1(533) -> 532
, 2_1(534) -> 887
, 2_1(535) -> 830
, 2_1(545) -> 593
, 2_1(546) -> 545
, 2_1(547) -> 546
, 2_1(557) -> 674
, 2_1(566) -> 565
, 2_1(571) -> 570
, 2_1(583) -> 582
, 2_1(584) -> 583
, 2_1(585) -> 584
, 2_1(586) -> 585
, 2_1(589) -> 588
, 2_1(591) -> 590
, 2_1(594) -> 593
, 2_1(595) -> 594
, 2_1(596) -> 595
, 2_1(606) -> 605
, 2_1(609) -> 608
, 2_1(613) -> 612
, 2_1(619) -> 2
, 2_1(620) -> 619
, 2_1(622) -> 621
, 2_1(623) -> 622
, 2_1(624) -> 56
, 2_1(628) -> 627
, 2_1(644) -> 643
, 2_1(646) -> 645
, 2_1(648) -> 647
, 2_1(650) -> 182
, 2_1(651) -> 650
, 2_1(653) -> 652
, 2_1(655) -> 654
, 2_1(658) -> 657
, 2_1(664) -> 663
, 2_1(671) -> 532
, 2_1(675) -> 573
, 2_1(676) -> 675
, 2_1(680) -> 639
, 2_1(686) -> 109
, 2_1(688) -> 56
, 2_1(693) -> 692
, 2_1(703) -> 702
, 2_1(704) -> 703
, 2_1(705) -> 704
, 2_1(712) -> 134
, 2_1(713) -> 712
, 2_1(718) -> 717
, 2_1(724) -> 723
, 2_1(726) -> 182
, 2_1(727) -> 56
, 2_1(737) -> 182
, 2_1(738) -> 737
, 2_1(744) -> 743
, 2_1(756) -> 755
, 2_1(758) -> 388
, 2_1(759) -> 272
, 2_1(765) -> 764
, 2_1(768) -> 767
, 2_1(773) -> 807
, 2_1(776) -> 775
, 2_1(777) -> 374
, 2_1(784) -> 610
, 2_1(792) -> 791
, 2_1(793) -> 674
, 2_1(808) -> 807
, 2_1(809) -> 136
, 2_1(813) -> 408
, 2_1(824) -> 823
, 2_1(825) -> 570
, 2_1(827) -> 826
, 2_1(828) -> 827
, 2_1(835) -> 834
, 2_1(840) -> 839
, 2_1(841) -> 767
, 2_1(847) -> 109
, 2_1(851) -> 805
, 2_1(855) -> 109
, 2_1(862) -> 861
, 2_1(869) -> 868
, 2_1(871) -> 109
, 2_1(884) -> 3
, 2_1(888) -> 887
, 2_2(954) -> 953
, 2_2(1872) -> 1871
, 2_2(2502) -> 2501
, 4_0(1) -> 1
, 4_1(1) -> 30
, 4_1(2) -> 30
, 4_1(5) -> 4
, 4_1(6) -> 5
, 4_1(8) -> 7
, 4_1(15) -> 14
, 4_1(22) -> 21
, 4_1(25) -> 24
, 4_1(27) -> 26
, 4_1(29) -> 28
, 4_1(30) -> 424
, 4_1(32) -> 31
, 4_1(33) -> 32
, 4_1(38) -> 37
, 4_1(41) -> 40
, 4_1(55) -> 54
, 4_1(56) -> 735
, 4_1(57) -> 1
, 4_1(57) -> 3
, 4_1(57) -> 30
, 4_1(57) -> 83
, 4_1(57) -> 109
, 4_1(57) -> 158
, 4_1(57) -> 228
, 4_1(57) -> 292
, 4_1(57) -> 407
, 4_1(57) -> 423
, 4_1(57) -> 424
, 4_1(57) -> 507
, 4_1(57) -> 558
, 4_1(57) -> 609
, 4_1(57) -> 671
, 4_1(57) -> 695
, 4_1(57) -> 754
, 4_1(57) -> 788
, 4_1(57) -> 880
, 4_1(57) -> 958
, 4_1(58) -> 30
, 4_1(59) -> 30
, 4_1(70) -> 69
, 4_1(73) -> 72
, 4_1(83) -> 659
, 4_1(84) -> 30
, 4_1(87) -> 86
, 4_1(99) -> 98
, 4_1(102) -> 101
, 4_1(105) -> 104
, 4_1(106) -> 105
, 4_1(108) -> 107
, 4_1(109) -> 558
, 4_1(110) -> 507
, 4_1(111) -> 30
, 4_1(112) -> 111
, 4_1(116) -> 115
, 4_1(118) -> 117
, 4_1(124) -> 123
, 4_1(125) -> 124
, 4_1(126) -> 125
, 4_1(131) -> 130
, 4_1(133) -> 572
, 4_1(135) -> 134
, 4_1(150) -> 149
, 4_1(155) -> 154
, 4_1(166) -> 165
, 4_1(178) -> 177
, 4_1(179) -> 178
, 4_1(182) -> 30
, 4_1(188) -> 187
, 4_1(189) -> 188
, 4_1(191) -> 190
, 4_1(200) -> 199
, 4_1(203) -> 202
, 4_1(210) -> 209
, 4_1(213) -> 212
, 4_1(214) -> 213
, 4_1(215) -> 214
, 4_1(217) -> 216
, 4_1(221) -> 220
, 4_1(228) -> 609
, 4_1(229) -> 84
, 4_1(232) -> 231
, 4_1(244) -> 243
, 4_1(246) -> 245
, 4_1(247) -> 246
, 4_1(249) -> 248
, 4_1(251) -> 250
, 4_1(252) -> 251
, 4_1(260) -> 259
, 4_1(261) -> 260
, 4_1(267) -> 266
, 4_1(271) -> 562
, 4_1(272) -> 205
, 4_1(277) -> 276
, 4_1(286) -> 285
, 4_1(287) -> 286
, 4_1(291) -> 549
, 4_1(293) -> 292
, 4_1(294) -> 30
, 4_1(296) -> 295
, 4_1(302) -> 301
, 4_1(305) -> 304
, 4_1(310) -> 309
, 4_1(316) -> 315
, 4_1(318) -> 317
, 4_1(319) -> 318
, 4_1(322) -> 321
, 4_1(324) -> 323
, 4_1(325) -> 324
, 4_1(331) -> 330
, 4_1(332) -> 331
, 4_1(336) -> 335
, 4_1(339) -> 338
, 4_1(342) -> 341
, 4_1(353) -> 679
, 4_1(355) -> 354
, 4_1(370) -> 369
, 4_1(372) -> 371
, 4_1(374) -> 182
, 4_1(382) -> 381
, 4_1(391) -> 202
, 4_1(396) -> 395
, 4_1(407) -> 731
, 4_1(408) -> 229
, 4_1(410) -> 409
, 4_1(416) -> 415
, 4_1(424) -> 423
, 4_1(427) -> 426
, 4_1(435) -> 434
, 4_1(437) -> 436
, 4_1(438) -> 437
, 4_1(461) -> 460
, 4_1(464) -> 463
, 4_1(465) -> 464
, 4_1(468) -> 467
, 4_1(478) -> 2
, 4_1(479) -> 478
, 4_1(482) -> 481
, 4_1(489) -> 488
, 4_1(490) -> 489
, 4_1(498) -> 497
, 4_1(509) -> 508
, 4_1(525) -> 524
, 4_1(536) -> 57
, 4_1(540) -> 539
, 4_1(544) -> 543
, 4_1(550) -> 30
, 4_1(552) -> 551
, 4_1(554) -> 553
, 4_1(555) -> 554
, 4_1(556) -> 555
, 4_1(559) -> 558
, 4_1(562) -> 561
, 4_1(568) -> 567
, 4_1(573) -> 30
, 4_1(574) -> 573
, 4_1(587) -> 536
, 4_1(588) -> 587
, 4_1(602) -> 601
, 4_1(605) -> 604
, 4_1(609) -> 695
, 4_1(610) -> 459
, 4_1(611) -> 30
, 4_1(614) -> 613
, 4_1(615) -> 614
, 4_1(617) -> 616
, 4_1(620) -> 30
, 4_1(621) -> 30
, 4_1(622) -> 30
, 4_1(623) -> 30
, 4_1(626) -> 625
, 4_1(637) -> 636
, 4_1(656) -> 655
, 4_1(659) -> 330
, 4_1(661) -> 660
, 4_1(665) -> 664
, 4_1(668) -> 667
, 4_1(671) -> 659
, 4_1(673) -> 672
, 4_1(682) -> 681
, 4_1(685) -> 30
, 4_1(686) -> 30
, 4_1(688) -> 57
, 4_1(689) -> 749
, 4_1(690) -> 30
, 4_1(691) -> 690
, 4_1(699) -> 698
, 4_1(700) -> 628
, 4_1(707) -> 706
, 4_1(724) -> 754
, 4_1(726) -> 30
, 4_1(727) -> 30
, 4_1(728) -> 727
, 4_1(735) -> 734
, 4_1(736) -> 735
, 4_1(737) -> 30
, 4_1(738) -> 30
, 4_1(739) -> 30
, 4_1(740) -> 30
, 4_1(743) -> 742
, 4_1(752) -> 751
, 4_1(754) -> 753
, 4_1(766) -> 765
, 4_1(770) -> 769
, 4_1(771) -> 770
, 4_1(779) -> 778
, 4_1(782) -> 781
, 4_1(785) -> 784
, 4_1(786) -> 785
, 4_1(788) -> 787
, 4_1(793) -> 792
, 4_1(796) -> 795
, 4_1(797) -> 796
, 4_1(798) -> 702
, 4_1(799) -> 798
, 4_1(800) -> 799
, 4_1(802) -> 801
, 4_1(803) -> 330
, 4_1(804) -> 803
, 4_1(806) -> 805
, 4_1(807) -> 806
, 4_1(826) -> 30
, 4_1(827) -> 30
, 4_1(829) -> 828
, 4_1(831) -> 537
, 4_1(839) -> 838
, 4_1(841) -> 840
, 4_1(844) -> 843
, 4_1(845) -> 844
, 4_1(846) -> 30
, 4_1(847) -> 30
, 4_1(855) -> 30
, 4_1(859) -> 858
, 4_1(860) -> 859
, 4_1(861) -> 3
, 4_1(864) -> 863
, 4_1(867) -> 286
, 4_1(871) -> 30
, 4_1(873) -> 872
, 4_1(886) -> 885
, 4_2(952) -> 951
, 4_2(1871) -> 1870
, 4_2(1874) -> 1873
, 5_0(1) -> 1
, 5_1(1) -> 83
, 5_1(2) -> 83
, 5_1(3) -> 83
, 5_1(18) -> 17
, 5_1(19) -> 18
, 5_1(26) -> 705
, 5_1(28) -> 83
, 5_1(29) -> 788
, 5_1(30) -> 291
, 5_1(34) -> 33
, 5_1(45) -> 44
, 5_1(48) -> 47
, 5_1(50) -> 49
, 5_1(55) -> 249
, 5_1(56) -> 441
, 5_1(57) -> 671
, 5_1(59) -> 58
, 5_1(64) -> 63
, 5_1(65) -> 64
, 5_1(71) -> 70
, 5_1(78) -> 77
, 5_1(81) -> 80
, 5_1(82) -> 204
, 5_1(83) -> 133
, 5_1(84) -> 83
, 5_1(88) -> 87
, 5_1(96) -> 95
, 5_1(101) -> 100
, 5_1(107) -> 624
, 5_1(108) -> 634
, 5_1(109) -> 671
, 5_1(110) -> 271
, 5_1(114) -> 113
, 5_1(115) -> 114
, 5_1(122) -> 121
, 5_1(133) -> 181
, 5_1(134) -> 133
, 5_1(136) -> 83
, 5_1(137) -> 136
, 5_1(138) -> 137
, 5_1(140) -> 139
, 5_1(141) -> 140
, 5_1(143) -> 142
, 5_1(145) -> 144
, 5_1(149) -> 148
, 5_1(152) -> 151
, 5_1(158) -> 845
, 5_1(160) -> 159
, 5_1(181) -> 181
, 5_1(182) -> 1
, 5_1(182) -> 30
, 5_1(182) -> 81
, 5_1(182) -> 83
, 5_1(182) -> 109
, 5_1(182) -> 110
, 5_1(182) -> 154
, 5_1(182) -> 156
, 5_1(182) -> 158
, 5_1(182) -> 227
, 5_1(182) -> 228
, 5_1(182) -> 269
, 5_1(182) -> 271
, 5_1(182) -> 292
, 5_1(182) -> 293
, 5_1(182) -> 311
, 5_1(182) -> 314
, 5_1(182) -> 373
, 5_1(182) -> 407
, 5_1(182) -> 438
, 5_1(182) -> 441
, 5_1(182) -> 586
, 5_1(182) -> 609
, 5_1(182) -> 671
, 5_1(182) -> 723
, 5_1(182) -> 724
, 5_1(182) -> 771
, 5_1(182) -> 804
, 5_1(182) -> 815
, 5_1(183) -> 441
, 5_1(186) -> 185
, 5_1(187) -> 186
, 5_1(192) -> 191
, 5_1(196) -> 195
, 5_1(198) -> 197
, 5_1(209) -> 208
, 5_1(220) -> 219
, 5_1(228) -> 804
, 5_1(231) -> 230
, 5_1(236) -> 235
, 5_1(239) -> 238
, 5_1(241) -> 240
, 5_1(264) -> 263
, 5_1(269) -> 815
, 5_1(270) -> 797
, 5_1(288) -> 287
, 5_1(290) -> 289
, 5_1(291) -> 290
, 5_1(292) -> 291
, 5_1(293) -> 441
, 5_1(294) -> 83
, 5_1(300) -> 299
, 5_1(306) -> 305
, 5_1(309) -> 308
, 5_1(312) -> 311
, 5_1(326) -> 325
, 5_1(329) -> 375
, 5_1(330) -> 329
, 5_1(333) -> 332
, 5_1(337) -> 336
, 5_1(344) -> 343
, 5_1(348) -> 347
, 5_1(351) -> 350
, 5_1(353) -> 352
, 5_1(357) -> 356
, 5_1(361) -> 360
, 5_1(364) -> 363
, 5_1(371) -> 370
, 5_1(373) -> 372
, 5_1(374) -> 83
, 5_1(379) -> 378
, 5_1(381) -> 380
, 5_1(390) -> 438
, 5_1(400) -> 399
, 5_1(406) -> 405
, 5_1(414) -> 413
, 5_1(415) -> 414
, 5_1(423) -> 492
, 5_1(426) -> 425
, 5_1(429) -> 428
, 5_1(431) -> 430
, 5_1(439) -> 438
, 5_1(441) -> 850
, 5_1(449) -> 448
, 5_1(459) -> 83
, 5_1(460) -> 459
, 5_1(466) -> 465
, 5_1(470) -> 469
, 5_1(477) -> 804
, 5_1(480) -> 479
, 5_1(483) -> 482
, 5_1(486) -> 485
, 5_1(491) -> 490
, 5_1(492) -> 491
, 5_1(495) -> 494
, 5_1(497) -> 496
, 5_1(500) -> 499
, 5_1(501) -> 500
, 5_1(502) -> 501
, 5_1(507) -> 597
, 5_1(508) -> 83
, 5_1(510) -> 509
, 5_1(514) -> 513
, 5_1(518) -> 517
, 5_1(520) -> 519
, 5_1(522) -> 521
, 5_1(528) -> 527
, 5_1(531) -> 530
, 5_1(534) -> 533
, 5_1(538) -> 537
, 5_1(549) -> 741
, 5_1(562) -> 370
, 5_1(565) -> 564
, 5_1(570) -> 569
, 5_1(573) -> 83
, 5_1(578) -> 577
, 5_1(598) -> 31
, 5_1(599) -> 598
, 5_1(608) -> 607
, 5_1(616) -> 615
, 5_1(620) -> 83
, 5_1(621) -> 83
, 5_1(622) -> 83
, 5_1(623) -> 83
, 5_1(625) -> 624
, 5_1(632) -> 631
, 5_1(633) -> 632
, 5_1(634) -> 633
, 5_1(650) -> 442
, 5_1(660) -> 182
, 5_1(667) -> 666
, 5_1(671) -> 869
, 5_1(672) -> 229
, 5_1(677) -> 676
, 5_1(678) -> 677
, 5_1(679) -> 678
, 5_1(683) -> 682
, 5_1(686) -> 83
, 5_1(687) -> 83
, 5_1(688) -> 83
, 5_1(690) -> 84
, 5_1(702) -> 334
, 5_1(706) -> 705
, 5_1(707) -> 877
, 5_1(708) -> 690
, 5_1(711) -> 710
, 5_1(712) -> 134
, 5_1(714) -> 713
, 5_1(726) -> 2
, 5_1(727) -> 83
, 5_1(730) -> 729
, 5_1(733) -> 732
, 5_1(734) -> 733
, 5_1(738) -> 133
, 5_1(739) -> 738
, 5_1(740) -> 739
, 5_1(741) -> 740
, 5_1(757) -> 759
, 5_1(760) -> 759
, 5_1(764) -> 639
, 5_1(772) -> 877
, 5_1(775) -> 774
, 5_1(794) -> 374
, 5_1(795) -> 794
, 5_1(804) -> 869
, 5_1(812) -> 811
, 5_1(816) -> 815
, 5_1(818) -> 817
, 5_1(825) -> 824
, 5_1(826) -> 737
, 5_1(830) -> 829
, 5_1(832) -> 831
, 5_1(834) -> 833
, 5_1(838) -> 837
, 5_1(841) -> 83
, 5_1(842) -> 375
, 5_1(843) -> 842
, 5_1(846) -> 83
, 5_1(847) -> 846
, 5_1(849) -> 848
, 5_1(855) -> 83
, 5_1(856) -> 83
, 5_1(865) -> 864
, 5_1(868) -> 867
, 5_1(869) -> 290
, 5_1(871) -> 870
, 5_1(877) -> 876
, 5_1(878) -> 877
, 5_1(881) -> 619
, 5_1(888) -> 83
, 5_2(950) -> 154
, 5_2(951) -> 950
, 5_2(1875) -> 1874}
Hurray, we answered YES(?,O(n^1))Tool EDA
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 3(0(1(4(4(3(4(2(3(1(2(0(0(4(0(3(5(5(0(1(4(2(1(4(0(1(4(4(1(4(x1))))))))))))))))))))))))))))))
->
3(0(1(4(4(3(4(2(3(1(2(0(0(4(0(3(5(5(0(1(4(2(1(4(0(4(1(4(1(4(x1))))))))))))))))))))))))))))))
, 3(3(4(4(5(0(2(0(4(0(2(4(2(0(1(5(3(0(5(1(5(0(3(1(1(4(0(2(4(x1)))))))))))))))))))))))))))))
->
3(3(4(4(5(0(0(2(4(0(2(4(2(0(1(5(3(0(5(1(5(0(3(1(1(4(0(2(4(x1)))))))))))))))))))))))))))))
, 4(1(5(0(0(3(0(5(5(3(1(2(2(4(5(3(3(4(0(1(2(5(0(3(5(3(0(5(x1))))))))))))))))))))))))))))
->
4(1(5(0(0(3(0(5(5(3(1(2(2(4(5(3(4(3(0(1(2(5(0(3(5(3(0(5(x1))))))))))))))))))))))))))))
, 1(2(1(4(5(1(3(2(3(2(3(2(0(5(3(4(2(5(4(0(1(4(4(1(4(0(1(3(x1))))))))))))))))))))))))))))
->
1(2(1(4(5(1(3(2(3(2(3(2(5(0(3(4(2(5(4(0(1(4(4(1(4(0(1(3(x1))))))))))))))))))))))))))))
, 3(0(3(4(0(5(5(4(4(2(3(2(0(5(1(4(4(4(1(0(2(1(4(3(1(5(5(x1)))))))))))))))))))))))))))
->
3(0(3(4(0(5(5(4(2(4(3(2(0(5(1(4(4(4(1(0(2(1(4(3(1(5(5(x1)))))))))))))))))))))))))))
, 2(4(0(5(5(3(5(5(3(5(1(5(3(1(2(4(5(2(5(2(0(4(2(2(0(1(1(x1)))))))))))))))))))))))))))
->
2(4(0(5(5(3(5(5(3(5(1(5(3(1(2(5(4(2(5(2(0(4(2(2(0(1(1(x1)))))))))))))))))))))))))))
, 2(0(5(3(0(0(0(0(4(3(1(2(1(2(2(3(0(3(1(1(4(4(1(3(5(5(5(x1)))))))))))))))))))))))))))
->
2(0(5(0(3(0(0(0(4(3(1(2(1(2(2(3(0(3(1(1(4(4(1(3(5(5(5(x1)))))))))))))))))))))))))))
, 5(3(2(2(5(5(4(4(4(3(5(2(3(3(5(1(5(0(4(3(0(4(3(5(0(5(x1))))))))))))))))))))))))))
->
5(3(2(2(5(5(4(4(3(4(5(2(3(3(5(1(5(0(4(3(0(4(3(5(0(5(x1))))))))))))))))))))))))))
, 4(2(1(1(2(5(4(0(2(4(4(4(2(3(4(0(5(4(2(1(1(0(1(3(3(0(x1))))))))))))))))))))))))))
->
4(2(1(1(2(5(4(0(2(4(4(4(2(4(3(0(5(4(2(1(1(0(1(3(3(0(x1))))))))))))))))))))))))))
, 1(4(3(5(4(1(0(5(1(2(1(5(3(5(3(1(4(3(4(4(3(4(5(0(2(4(x1))))))))))))))))))))))))))
->
1(4(3(5(4(1(0(1(5(2(1(5(3(5(3(1(4(3(4(4(3(4(5(0(2(4(x1))))))))))))))))))))))))))
, 5(0(4(4(2(1(3(1(3(2(2(4(4(2(0(5(1(2(4(1(2(2(0(5(3(x1)))))))))))))))))))))))))
->
5(0(4(4(2(1(3(1(3(2(2(4(4(2(0(5(2(1(4(1(2(2(0(5(3(x1)))))))))))))))))))))))))
, 4(4(1(4(2(0(0(3(2(3(4(2(3(3(4(3(2(5(0(5(5(2(5(4(2(x1)))))))))))))))))))))))))
->
4(2(4(3(3(0(1(4(2(3(2(0(0(3(3(2(4(4(5(2(5(5(5(4(2(x1)))))))))))))))))))))))))
, 0(2(2(0(2(5(4(3(0(3(0(1(4(1(1(5(4(5(5(4(1(3(2(0(2(x1)))))))))))))))))))))))))
->
2(0(0(2(4(2(3(1(5(0(4(0(3(4(5(1(1(5(4(1(5(2(3(0(2(x1)))))))))))))))))))))))))
, 3(3(1(4(1(4(4(1(3(4(3(4(5(4(0(0(2(5(4(4(5(0(0(1(x1))))))))))))))))))))))))
->
3(3(1(4(1(4(4(1(3(4(3(4(4(5(0(0(2(5(4(4(5(0(0(1(x1))))))))))))))))))))))))
, 2(2(2(4(5(3(4(2(3(4(2(5(0(2(2(5(2(0(5(3(5(3(3(x1)))))))))))))))))))))))
->
2(2(2(4(5(3(4(3(2(4(2(5(0(2(2(5(2(0(5(3(5(3(3(x1)))))))))))))))))))))))
, 1(1(4(3(5(0(0(1(5(0(3(0(5(3(0(1(1(4(5(4(5(3(1(x1)))))))))))))))))))))))
->
1(1(4(3(5(0(0(1(5(0(3(5(0(3(0(1(1(4(5(4(5(3(1(x1)))))))))))))))))))))))
, 5(1(5(0(3(3(1(4(4(3(2(3(1(2(2(3(2(0(0(5(5(x1)))))))))))))))))))))
->
5(4(1(3(3(3(5(1(5(4(2(2(0(0(2(1(2(3(0(3(5(x1)))))))))))))))))))))
, 4(1(5(2(2(2(0(4(2(0(5(1(3(3(1(0(1(5(0(0(4(x1)))))))))))))))))))))
->
4(1(5(2(2(2(0(4(2(0(1(5(3(3(1(0(1(5(0(0(4(x1)))))))))))))))))))))
, 1(4(4(1(4(3(1(0(5(5(4(1(3(3(3(2(3(0(4(4(4(x1)))))))))))))))))))))
->
1(4(4(1(4(3(1(0(5(5(4(1(3(3(2(3(3(0(4(4(4(x1)))))))))))))))))))))
, 1(1(5(2(4(2(5(3(5(2(3(3(4(0(4(4(5(0(5(3(2(x1)))))))))))))))))))))
->
1(1(2(5(4(2(5(3(5(2(3(3(4(0(4(4(5(0(3(5(2(x1)))))))))))))))))))))
, 1(0(0(3(1(0(5(2(3(1(3(0(2(3(0(5(1(1(0(2(5(x1)))))))))))))))))))))
->
1(3(2(0(0(1(0(3(5(1(1(0(2(3(0(2(1(3(0(5(5(x1)))))))))))))))))))))
, 0(5(4(3(4(2(4(0(5(4(1(5(2(0(3(0(3(2(0(1(3(x1)))))))))))))))))))))
->
0(5(4(3(2(4(4(5(0(4(1(5(2(0(3(0(3(1(2(0(3(x1)))))))))))))))))))))
, 3(4(4(5(4(3(5(3(2(2(5(4(1(4(5(5(4(5(4(4(x1)))))))))))))))))))) ->
3(4(4(5(3(4(5(3(2(5(2(1(4(4(5(5(5(4(4(4(x1))))))))))))))))))))
, 3(4(3(3(5(3(5(4(0(5(5(3(5(2(0(1(0(4(3(x1))))))))))))))))))) ->
3(4(3(3(5(3(5(4(0(5(5(5(3(2(0(1(0(4(3(x1)))))))))))))))))))
, 2(1(4(5(3(0(0(5(0(3(0(5(2(5(1(5(3(2(0(x1))))))))))))))))))) ->
2(1(4(5(3(0(0(5(0(0(3(5(2(5(1(5(3(2(0(x1)))))))))))))))))))
, 0(5(4(0(3(2(4(1(5(2(0(5(3(2(5(1(3(1(4(x1))))))))))))))))))) ->
0(5(4(0(3(4(2(1(5(2(0(5(3(2(5(1(3(1(4(x1)))))))))))))))))))
, 4(4(0(5(0(1(4(1(1(4(3(2(2(3(0(4(5(4(x1)))))))))))))))))) ->
4(4(0(5(0(4(1(1(1(4(3(2(2(3(0(4(5(4(x1))))))))))))))))))
, 3(4(1(4(1(0(4(4(4(0(3(4(1(3(4(4(5(3(x1)))))))))))))))))) ->
3(4(1(1(4(0(4(4(4(0(3(4(1(3(4(4(5(3(x1))))))))))))))))))
, 2(2(2(4(3(3(5(3(2(4(1(5(2(0(4(5(5(x1))))))))))))))))) ->
2(2(2(4(3(3(5(2(3(4(1(5(2(0(4(5(5(x1)))))))))))))))))
, 0(0(4(3(3(3(5(0(3(0(1(2(2(2(2(2(2(x1))))))))))))))))) ->
0(0(4(3(3(3(5(3(0(0(1(2(2(2(2(2(2(x1)))))))))))))))))
, 4(4(4(4(2(1(2(3(2(0(2(2(3(5(4(3(x1)))))))))))))))) ->
4(4(4(4(2(1(2(3(0(2(2(2(3(5(4(3(x1))))))))))))))))
, 3(3(5(5(3(0(4(1(3(4(1(2(5(2(4(0(x1)))))))))))))))) ->
3(3(5(5(3(0(4(1(3(4(2(1(5(2(4(0(x1))))))))))))))))
, 4(1(4(2(4(1(1(0(5(4(1(0(5(3(x1)))))))))))))) ->
0(4(1(1(2(4(4(5(4(1(1(0(3(5(x1))))))))))))))
, 3(2(2(0(2(2(4(1(5(0(3(1(1(4(x1)))))))))))))) ->
3(2(2(0(2(2(1(5(4(0(1(3(1(4(x1))))))))))))))
, 3(2(2(1(1(3(1(5(5(5(5(0(1(x1))))))))))))) ->
3(2(1(2(1(3(1(5(5(5(5(0(1(x1)))))))))))))
, 5(2(2(2(2(0(0(0(2(5(0(5(x1)))))))))))) ->
2(1(1(1(4(0(3(5(3(1(x1))))))))))
, 5(2(0(2(5(3(5(5(5(3(0(3(x1)))))))))))) ->
5(1(3(0(1(3(2(2(2(4(x1))))))))))
, 5(1(4(0(0(1(4(3(5(1(2(5(x1)))))))))))) ->
4(4(3(2(3(2(3(1(2(2(x1))))))))))
, 5(0(1(3(4(3(0(4(4(0(0(1(x1)))))))))))) ->
1(3(5(2(3(2(1(1(5(2(x1))))))))))
, 4(0(1(0(4(2(4(0(1(2(2(1(x1)))))))))))) ->
3(3(3(2(4(1(2(3(4(5(x1))))))))))
, 3(1(2(1(2(4(5(4(0(0(4(5(x1)))))))))))) ->
5(5(4(0(1(2(4(2(3(1(x1))))))))))
, 2(5(0(2(1(0(0(2(1(2(4(1(x1)))))))))))) ->
1(2(3(5(4(1(3(1(5(1(x1))))))))))
, 2(0(1(5(2(1(5(0(4(4(2(0(x1)))))))))))) ->
5(2(4(5(4(1(2(3(4(1(x1))))))))))
, 1(4(1(0(0(4(0(5(1(4(1(0(x1)))))))))))) ->
0(0(2(2(5(5(5(4(3(3(x1))))))))))
, 1(3(4(1(5(4(4(1(5(3(5(0(x1)))))))))))) ->
5(1(2(0(4(5(3(4(3(3(x1))))))))))
, 1(3(3(3(3(2(5(0(0(1(0(0(x1)))))))))))) ->
1(0(0(3(0(1(0(3(1(1(x1))))))))))
, 1(2(5(4(2(5(2(4(4(2(1(3(x1)))))))))))) ->
1(5(4(1(2(3(1(4(4(0(x1))))))))))
, 1(2(5(2(3(2(5(0(3(5(4(4(x1)))))))))))) ->
4(1(0(1(3(4(3(2(3(0(x1))))))))))
, 1(0(0(0(2(4(4(5(3(1(3(0(x1)))))))))))) ->
3(2(1(2(4(0(0(0(5(5(x1))))))))))
, 0(5(5(1(5(4(4(3(5(0(2(1(x1)))))))))))) ->
2(2(5(2(2(2(5(4(1(0(x1))))))))))
, 0(4(1(5(5(3(1(0(3(2(0(0(x1)))))))))))) ->
5(2(5(5(1(0(5(0(5(1(x1))))))))))
, 0(4(1(1(3(5(2(5(4(2(0(0(x1)))))))))))) ->
2(5(2(5(3(3(1(2(1(5(x1))))))))))
, 5(5(5(2(4(2(3(1(5(4(2(x1))))))))))) ->
2(1(0(1(0(0(3(2(2(1(x1))))))))))
, 5(2(3(4(0(3(0(2(4(3(5(x1))))))))))) ->
5(2(4(5(4(3(0(1(5(1(x1))))))))))
, 5(2(2(1(5(4(5(4(2(1(5(x1))))))))))) ->
3(5(3(4(3(5(3(4(0(4(x1))))))))))
, 5(0(3(2(0(1(5(1(5(5(0(x1))))))))))) ->
5(1(0(5(5(4(4(2(4(3(x1))))))))))
, 4(5(1(5(2(0(2(5(3(4(1(x1))))))))))) ->
0(1(2(5(5(5(5(4(5(4(x1))))))))))
, 4(4(0(1(4(1(2(0(3(4(0(x1))))))))))) ->
0(5(0(4(2(0(2(5(5(5(x1))))))))))
, 4(3(5(1(3(4(4(3(0(1(3(x1))))))))))) ->
2(0(1(3(1(3(4(3(1(1(x1))))))))))
, 4(3(1(4(0(3(4(0(1(5(2(x1))))))))))) ->
2(5(3(0(4(1(4(4(2(1(x1))))))))))
, 4(2(2(0(1(4(2(2(1(1(2(x1))))))))))) ->
5(5(4(3(2(1(3(3(0(1(x1))))))))))
, 4(2(0(5(1(4(2(3(3(2(0(x1))))))))))) ->
4(2(4(2(5(3(3(0(1(2(0(x1)))))))))))
, 4(0(2(5(4(4(0(2(1(4(3(x1))))))))))) ->
5(1(5(2(4(3(2(0(0(3(x1))))))))))
, 4(0(2(2(4(5(1(2(1(1(3(x1))))))))))) ->
4(4(1(4(4(3(1(0(2(0(x1))))))))))
, 3(5(2(5(3(5(2(3(4(4(3(x1))))))))))) ->
2(0(1(0(5(2(2(2(0(3(x1))))))))))
, 3(1(0(4(5(4(3(2(2(0(3(x1))))))))))) ->
5(4(2(1(4(3(2(0(3(5(x1))))))))))
, 3(0(5(3(4(4(5(3(2(5(4(x1))))))))))) ->
5(5(4(0(3(4(1(0(4(5(x1))))))))))
, 3(0(2(0(0(5(0(3(3(4(1(x1))))))))))) ->
0(4(2(4(4(1(4(5(1(4(x1))))))))))
, 2(5(3(1(1(3(4(5(3(2(4(x1))))))))))) ->
3(4(1(3(3(0(2(4(3(4(x1))))))))))
, 2(2(1(0(3(4(3(4(4(4(5(x1))))))))))) ->
5(4(5(5(4(4(5(0(5(3(x1))))))))))
, 2(1(2(3(2(4(1(5(0(3(2(x1))))))))))) ->
2(2(5(4(4(4(2(3(2(0(x1))))))))))
, 2(1(0(2(2(5(0(0(2(3(3(x1))))))))))) ->
5(2(4(0(4(3(4(5(0(3(x1))))))))))
, 1(4(2(4(4(0(2(3(5(5(1(x1))))))))))) ->
1(2(0(4(4(2(0(2(0(1(x1))))))))))
, 1(4(2(1(1(1(5(2(5(0(5(x1))))))))))) ->
2(4(0(2(1(0(5(1(4(1(x1))))))))))
, 1(3(4(3(3(4(2(4(0(2(2(x1))))))))))) ->
1(4(4(2(1(0(5(2(0(2(x1))))))))))
, 1(1(5(3(0(1(5(0(0(2(3(x1))))))))))) ->
5(4(3(5(1(0(0(3(4(0(x1))))))))))
, 1(1(3(0(5(3(3(3(3(2(0(x1))))))))))) ->
4(2(3(3(2(5(0(4(2(1(x1))))))))))
, 0(4(3(1(5(5(1(5(1(1(3(x1))))))))))) ->
0(1(5(2(2(4(5(2(3(3(x1))))))))))
, 0(4(1(1(4(0(5(3(2(4(0(x1))))))))))) ->
4(4(0(4(5(0(5(2(2(5(x1))))))))))
, 0(2(5(1(2(3(5(0(5(5(4(x1))))))))))) ->
5(0(1(0(5(4(2(4(0(0(x1))))))))))
, 5(0(3(5(1(5(3(2(3(1(x1)))))))))) ->
5(4(1(5(5(4(4(5(1(1(x1))))))))))
, 4(4(5(3(3(2(4(1(3(5(x1)))))))))) ->
0(0(3(5(0(5(1(5(5(2(x1))))))))))
, 4(2(2(2(1(2(2(5(5(3(x1)))))))))) ->
1(2(0(2(1(1(0(2(5(3(x1))))))))))
, 4(2(2(1(4(3(4(0(1(2(x1)))))))))) ->
2(3(0(0(1(4(4(2(4(2(x1))))))))))
, 3(3(2(3(3(2(1(3(3(2(x1)))))))))) ->
3(0(4(2(1(4(5(1(3(3(x1))))))))))
, 1(4(2(5(2(2(5(0(3(1(x1)))))))))) ->
0(5(0(0(3(5(2(5(5(0(x1))))))))))
, 1(0(5(4(5(0(0(0(1(4(x1)))))))))) ->
1(5(0(5(0(4(0(0(1(4(x1))))))))))
, 4(3(0(5(5(0(1(1(2(x1))))))))) -> 4(3(0(5(5(1(0(1(2(x1)))))))))
, 3(2(5(0(1(3(4(5(3(x1))))))))) -> 3(2(5(1(0(3(4(5(3(x1)))))))))
, 3(0(2(4(1(0(3(3(x1)))))))) -> 3(0(2(1(4(0(3(3(x1))))))))
, 0(1(1(2(3(0(1(1(x1)))))))) -> 0(1(1(2(1(3(0(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:
{ 3(0(1(4(4(3(4(2(3(1(2(0(0(4(0(3(5(5(0(1(4(2(1(4(0(1(4(4(1(4(x1))))))))))))))))))))))))))))))
->
3(0(1(4(4(3(4(2(3(1(2(0(0(4(0(3(5(5(0(1(4(2(1(4(0(4(1(4(1(4(x1))))))))))))))))))))))))))))))
, 3(3(4(4(5(0(2(0(4(0(2(4(2(0(1(5(3(0(5(1(5(0(3(1(1(4(0(2(4(x1)))))))))))))))))))))))))))))
->
3(3(4(4(5(0(0(2(4(0(2(4(2(0(1(5(3(0(5(1(5(0(3(1(1(4(0(2(4(x1)))))))))))))))))))))))))))))
, 4(1(5(0(0(3(0(5(5(3(1(2(2(4(5(3(3(4(0(1(2(5(0(3(5(3(0(5(x1))))))))))))))))))))))))))))
->
4(1(5(0(0(3(0(5(5(3(1(2(2(4(5(3(4(3(0(1(2(5(0(3(5(3(0(5(x1))))))))))))))))))))))))))))
, 1(2(1(4(5(1(3(2(3(2(3(2(0(5(3(4(2(5(4(0(1(4(4(1(4(0(1(3(x1))))))))))))))))))))))))))))
->
1(2(1(4(5(1(3(2(3(2(3(2(5(0(3(4(2(5(4(0(1(4(4(1(4(0(1(3(x1))))))))))))))))))))))))))))
, 3(0(3(4(0(5(5(4(4(2(3(2(0(5(1(4(4(4(1(0(2(1(4(3(1(5(5(x1)))))))))))))))))))))))))))
->
3(0(3(4(0(5(5(4(2(4(3(2(0(5(1(4(4(4(1(0(2(1(4(3(1(5(5(x1)))))))))))))))))))))))))))
, 2(4(0(5(5(3(5(5(3(5(1(5(3(1(2(4(5(2(5(2(0(4(2(2(0(1(1(x1)))))))))))))))))))))))))))
->
2(4(0(5(5(3(5(5(3(5(1(5(3(1(2(5(4(2(5(2(0(4(2(2(0(1(1(x1)))))))))))))))))))))))))))
, 2(0(5(3(0(0(0(0(4(3(1(2(1(2(2(3(0(3(1(1(4(4(1(3(5(5(5(x1)))))))))))))))))))))))))))
->
2(0(5(0(3(0(0(0(4(3(1(2(1(2(2(3(0(3(1(1(4(4(1(3(5(5(5(x1)))))))))))))))))))))))))))
, 5(3(2(2(5(5(4(4(4(3(5(2(3(3(5(1(5(0(4(3(0(4(3(5(0(5(x1))))))))))))))))))))))))))
->
5(3(2(2(5(5(4(4(3(4(5(2(3(3(5(1(5(0(4(3(0(4(3(5(0(5(x1))))))))))))))))))))))))))
, 4(2(1(1(2(5(4(0(2(4(4(4(2(3(4(0(5(4(2(1(1(0(1(3(3(0(x1))))))))))))))))))))))))))
->
4(2(1(1(2(5(4(0(2(4(4(4(2(4(3(0(5(4(2(1(1(0(1(3(3(0(x1))))))))))))))))))))))))))
, 1(4(3(5(4(1(0(5(1(2(1(5(3(5(3(1(4(3(4(4(3(4(5(0(2(4(x1))))))))))))))))))))))))))
->
1(4(3(5(4(1(0(1(5(2(1(5(3(5(3(1(4(3(4(4(3(4(5(0(2(4(x1))))))))))))))))))))))))))
, 5(0(4(4(2(1(3(1(3(2(2(4(4(2(0(5(1(2(4(1(2(2(0(5(3(x1)))))))))))))))))))))))))
->
5(0(4(4(2(1(3(1(3(2(2(4(4(2(0(5(2(1(4(1(2(2(0(5(3(x1)))))))))))))))))))))))))
, 4(4(1(4(2(0(0(3(2(3(4(2(3(3(4(3(2(5(0(5(5(2(5(4(2(x1)))))))))))))))))))))))))
->
4(2(4(3(3(0(1(4(2(3(2(0(0(3(3(2(4(4(5(2(5(5(5(4(2(x1)))))))))))))))))))))))))
, 0(2(2(0(2(5(4(3(0(3(0(1(4(1(1(5(4(5(5(4(1(3(2(0(2(x1)))))))))))))))))))))))))
->
2(0(0(2(4(2(3(1(5(0(4(0(3(4(5(1(1(5(4(1(5(2(3(0(2(x1)))))))))))))))))))))))))
, 3(3(1(4(1(4(4(1(3(4(3(4(5(4(0(0(2(5(4(4(5(0(0(1(x1))))))))))))))))))))))))
->
3(3(1(4(1(4(4(1(3(4(3(4(4(5(0(0(2(5(4(4(5(0(0(1(x1))))))))))))))))))))))))
, 2(2(2(4(5(3(4(2(3(4(2(5(0(2(2(5(2(0(5(3(5(3(3(x1)))))))))))))))))))))))
->
2(2(2(4(5(3(4(3(2(4(2(5(0(2(2(5(2(0(5(3(5(3(3(x1)))))))))))))))))))))))
, 1(1(4(3(5(0(0(1(5(0(3(0(5(3(0(1(1(4(5(4(5(3(1(x1)))))))))))))))))))))))
->
1(1(4(3(5(0(0(1(5(0(3(5(0(3(0(1(1(4(5(4(5(3(1(x1)))))))))))))))))))))))
, 5(1(5(0(3(3(1(4(4(3(2(3(1(2(2(3(2(0(0(5(5(x1)))))))))))))))))))))
->
5(4(1(3(3(3(5(1(5(4(2(2(0(0(2(1(2(3(0(3(5(x1)))))))))))))))))))))
, 4(1(5(2(2(2(0(4(2(0(5(1(3(3(1(0(1(5(0(0(4(x1)))))))))))))))))))))
->
4(1(5(2(2(2(0(4(2(0(1(5(3(3(1(0(1(5(0(0(4(x1)))))))))))))))))))))
, 1(4(4(1(4(3(1(0(5(5(4(1(3(3(3(2(3(0(4(4(4(x1)))))))))))))))))))))
->
1(4(4(1(4(3(1(0(5(5(4(1(3(3(2(3(3(0(4(4(4(x1)))))))))))))))))))))
, 1(1(5(2(4(2(5(3(5(2(3(3(4(0(4(4(5(0(5(3(2(x1)))))))))))))))))))))
->
1(1(2(5(4(2(5(3(5(2(3(3(4(0(4(4(5(0(3(5(2(x1)))))))))))))))))))))
, 1(0(0(3(1(0(5(2(3(1(3(0(2(3(0(5(1(1(0(2(5(x1)))))))))))))))))))))
->
1(3(2(0(0(1(0(3(5(1(1(0(2(3(0(2(1(3(0(5(5(x1)))))))))))))))))))))
, 0(5(4(3(4(2(4(0(5(4(1(5(2(0(3(0(3(2(0(1(3(x1)))))))))))))))))))))
->
0(5(4(3(2(4(4(5(0(4(1(5(2(0(3(0(3(1(2(0(3(x1)))))))))))))))))))))
, 3(4(4(5(4(3(5(3(2(2(5(4(1(4(5(5(4(5(4(4(x1)))))))))))))))))))) ->
3(4(4(5(3(4(5(3(2(5(2(1(4(4(5(5(5(4(4(4(x1))))))))))))))))))))
, 3(4(3(3(5(3(5(4(0(5(5(3(5(2(0(1(0(4(3(x1))))))))))))))))))) ->
3(4(3(3(5(3(5(4(0(5(5(5(3(2(0(1(0(4(3(x1)))))))))))))))))))
, 2(1(4(5(3(0(0(5(0(3(0(5(2(5(1(5(3(2(0(x1))))))))))))))))))) ->
2(1(4(5(3(0(0(5(0(0(3(5(2(5(1(5(3(2(0(x1)))))))))))))))))))
, 0(5(4(0(3(2(4(1(5(2(0(5(3(2(5(1(3(1(4(x1))))))))))))))))))) ->
0(5(4(0(3(4(2(1(5(2(0(5(3(2(5(1(3(1(4(x1)))))))))))))))))))
, 4(4(0(5(0(1(4(1(1(4(3(2(2(3(0(4(5(4(x1)))))))))))))))))) ->
4(4(0(5(0(4(1(1(1(4(3(2(2(3(0(4(5(4(x1))))))))))))))))))
, 3(4(1(4(1(0(4(4(4(0(3(4(1(3(4(4(5(3(x1)))))))))))))))))) ->
3(4(1(1(4(0(4(4(4(0(3(4(1(3(4(4(5(3(x1))))))))))))))))))
, 2(2(2(4(3(3(5(3(2(4(1(5(2(0(4(5(5(x1))))))))))))))))) ->
2(2(2(4(3(3(5(2(3(4(1(5(2(0(4(5(5(x1)))))))))))))))))
, 0(0(4(3(3(3(5(0(3(0(1(2(2(2(2(2(2(x1))))))))))))))))) ->
0(0(4(3(3(3(5(3(0(0(1(2(2(2(2(2(2(x1)))))))))))))))))
, 4(4(4(4(2(1(2(3(2(0(2(2(3(5(4(3(x1)))))))))))))))) ->
4(4(4(4(2(1(2(3(0(2(2(2(3(5(4(3(x1))))))))))))))))
, 3(3(5(5(3(0(4(1(3(4(1(2(5(2(4(0(x1)))))))))))))))) ->
3(3(5(5(3(0(4(1(3(4(2(1(5(2(4(0(x1))))))))))))))))
, 4(1(4(2(4(1(1(0(5(4(1(0(5(3(x1)))))))))))))) ->
0(4(1(1(2(4(4(5(4(1(1(0(3(5(x1))))))))))))))
, 3(2(2(0(2(2(4(1(5(0(3(1(1(4(x1)))))))))))))) ->
3(2(2(0(2(2(1(5(4(0(1(3(1(4(x1))))))))))))))
, 3(2(2(1(1(3(1(5(5(5(5(0(1(x1))))))))))))) ->
3(2(1(2(1(3(1(5(5(5(5(0(1(x1)))))))))))))
, 5(2(2(2(2(0(0(0(2(5(0(5(x1)))))))))))) ->
2(1(1(1(4(0(3(5(3(1(x1))))))))))
, 5(2(0(2(5(3(5(5(5(3(0(3(x1)))))))))))) ->
5(1(3(0(1(3(2(2(2(4(x1))))))))))
, 5(1(4(0(0(1(4(3(5(1(2(5(x1)))))))))))) ->
4(4(3(2(3(2(3(1(2(2(x1))))))))))
, 5(0(1(3(4(3(0(4(4(0(0(1(x1)))))))))))) ->
1(3(5(2(3(2(1(1(5(2(x1))))))))))
, 4(0(1(0(4(2(4(0(1(2(2(1(x1)))))))))))) ->
3(3(3(2(4(1(2(3(4(5(x1))))))))))
, 3(1(2(1(2(4(5(4(0(0(4(5(x1)))))))))))) ->
5(5(4(0(1(2(4(2(3(1(x1))))))))))
, 2(5(0(2(1(0(0(2(1(2(4(1(x1)))))))))))) ->
1(2(3(5(4(1(3(1(5(1(x1))))))))))
, 2(0(1(5(2(1(5(0(4(4(2(0(x1)))))))))))) ->
5(2(4(5(4(1(2(3(4(1(x1))))))))))
, 1(4(1(0(0(4(0(5(1(4(1(0(x1)))))))))))) ->
0(0(2(2(5(5(5(4(3(3(x1))))))))))
, 1(3(4(1(5(4(4(1(5(3(5(0(x1)))))))))))) ->
5(1(2(0(4(5(3(4(3(3(x1))))))))))
, 1(3(3(3(3(2(5(0(0(1(0(0(x1)))))))))))) ->
1(0(0(3(0(1(0(3(1(1(x1))))))))))
, 1(2(5(4(2(5(2(4(4(2(1(3(x1)))))))))))) ->
1(5(4(1(2(3(1(4(4(0(x1))))))))))
, 1(2(5(2(3(2(5(0(3(5(4(4(x1)))))))))))) ->
4(1(0(1(3(4(3(2(3(0(x1))))))))))
, 1(0(0(0(2(4(4(5(3(1(3(0(x1)))))))))))) ->
3(2(1(2(4(0(0(0(5(5(x1))))))))))
, 0(5(5(1(5(4(4(3(5(0(2(1(x1)))))))))))) ->
2(2(5(2(2(2(5(4(1(0(x1))))))))))
, 0(4(1(5(5(3(1(0(3(2(0(0(x1)))))))))))) ->
5(2(5(5(1(0(5(0(5(1(x1))))))))))
, 0(4(1(1(3(5(2(5(4(2(0(0(x1)))))))))))) ->
2(5(2(5(3(3(1(2(1(5(x1))))))))))
, 5(5(5(2(4(2(3(1(5(4(2(x1))))))))))) ->
2(1(0(1(0(0(3(2(2(1(x1))))))))))
, 5(2(3(4(0(3(0(2(4(3(5(x1))))))))))) ->
5(2(4(5(4(3(0(1(5(1(x1))))))))))
, 5(2(2(1(5(4(5(4(2(1(5(x1))))))))))) ->
3(5(3(4(3(5(3(4(0(4(x1))))))))))
, 5(0(3(2(0(1(5(1(5(5(0(x1))))))))))) ->
5(1(0(5(5(4(4(2(4(3(x1))))))))))
, 4(5(1(5(2(0(2(5(3(4(1(x1))))))))))) ->
0(1(2(5(5(5(5(4(5(4(x1))))))))))
, 4(4(0(1(4(1(2(0(3(4(0(x1))))))))))) ->
0(5(0(4(2(0(2(5(5(5(x1))))))))))
, 4(3(5(1(3(4(4(3(0(1(3(x1))))))))))) ->
2(0(1(3(1(3(4(3(1(1(x1))))))))))
, 4(3(1(4(0(3(4(0(1(5(2(x1))))))))))) ->
2(5(3(0(4(1(4(4(2(1(x1))))))))))
, 4(2(2(0(1(4(2(2(1(1(2(x1))))))))))) ->
5(5(4(3(2(1(3(3(0(1(x1))))))))))
, 4(2(0(5(1(4(2(3(3(2(0(x1))))))))))) ->
4(2(4(2(5(3(3(0(1(2(0(x1)))))))))))
, 4(0(2(5(4(4(0(2(1(4(3(x1))))))))))) ->
5(1(5(2(4(3(2(0(0(3(x1))))))))))
, 4(0(2(2(4(5(1(2(1(1(3(x1))))))))))) ->
4(4(1(4(4(3(1(0(2(0(x1))))))))))
, 3(5(2(5(3(5(2(3(4(4(3(x1))))))))))) ->
2(0(1(0(5(2(2(2(0(3(x1))))))))))
, 3(1(0(4(5(4(3(2(2(0(3(x1))))))))))) ->
5(4(2(1(4(3(2(0(3(5(x1))))))))))
, 3(0(5(3(4(4(5(3(2(5(4(x1))))))))))) ->
5(5(4(0(3(4(1(0(4(5(x1))))))))))
, 3(0(2(0(0(5(0(3(3(4(1(x1))))))))))) ->
0(4(2(4(4(1(4(5(1(4(x1))))))))))
, 2(5(3(1(1(3(4(5(3(2(4(x1))))))))))) ->
3(4(1(3(3(0(2(4(3(4(x1))))))))))
, 2(2(1(0(3(4(3(4(4(4(5(x1))))))))))) ->
5(4(5(5(4(4(5(0(5(3(x1))))))))))
, 2(1(2(3(2(4(1(5(0(3(2(x1))))))))))) ->
2(2(5(4(4(4(2(3(2(0(x1))))))))))
, 2(1(0(2(2(5(0(0(2(3(3(x1))))))))))) ->
5(2(4(0(4(3(4(5(0(3(x1))))))))))
, 1(4(2(4(4(0(2(3(5(5(1(x1))))))))))) ->
1(2(0(4(4(2(0(2(0(1(x1))))))))))
, 1(4(2(1(1(1(5(2(5(0(5(x1))))))))))) ->
2(4(0(2(1(0(5(1(4(1(x1))))))))))
, 1(3(4(3(3(4(2(4(0(2(2(x1))))))))))) ->
1(4(4(2(1(0(5(2(0(2(x1))))))))))
, 1(1(5(3(0(1(5(0(0(2(3(x1))))))))))) ->
5(4(3(5(1(0(0(3(4(0(x1))))))))))
, 1(1(3(0(5(3(3(3(3(2(0(x1))))))))))) ->
4(2(3(3(2(5(0(4(2(1(x1))))))))))
, 0(4(3(1(5(5(1(5(1(1(3(x1))))))))))) ->
0(1(5(2(2(4(5(2(3(3(x1))))))))))
, 0(4(1(1(4(0(5(3(2(4(0(x1))))))))))) ->
4(4(0(4(5(0(5(2(2(5(x1))))))))))
, 0(2(5(1(2(3(5(0(5(5(4(x1))))))))))) ->
5(0(1(0(5(4(2(4(0(0(x1))))))))))
, 5(0(3(5(1(5(3(2(3(1(x1)))))))))) ->
5(4(1(5(5(4(4(5(1(1(x1))))))))))
, 4(4(5(3(3(2(4(1(3(5(x1)))))))))) ->
0(0(3(5(0(5(1(5(5(2(x1))))))))))
, 4(2(2(2(1(2(2(5(5(3(x1)))))))))) ->
1(2(0(2(1(1(0(2(5(3(x1))))))))))
, 4(2(2(1(4(3(4(0(1(2(x1)))))))))) ->
2(3(0(0(1(4(4(2(4(2(x1))))))))))
, 3(3(2(3(3(2(1(3(3(2(x1)))))))))) ->
3(0(4(2(1(4(5(1(3(3(x1))))))))))
, 1(4(2(5(2(2(5(0(3(1(x1)))))))))) ->
0(5(0(0(3(5(2(5(5(0(x1))))))))))
, 1(0(5(4(5(0(0(0(1(4(x1)))))))))) ->
1(5(0(5(0(4(0(0(1(4(x1))))))))))
, 4(3(0(5(5(0(1(1(2(x1))))))))) -> 4(3(0(5(5(1(0(1(2(x1)))))))))
, 3(2(5(0(1(3(4(5(3(x1))))))))) -> 3(2(5(1(0(3(4(5(3(x1)))))))))
, 3(0(2(4(1(0(3(3(x1)))))))) -> 3(0(2(1(4(0(3(3(x1))))))))
, 0(1(1(2(3(0(1(1(x1)))))))) -> 0(1(1(2(1(3(0(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:
{ 3(0(1(4(4(3(4(2(3(1(2(0(0(4(0(3(5(5(0(1(4(2(1(4(0(1(4(4(1(4(x1))))))))))))))))))))))))))))))
->
3(0(1(4(4(3(4(2(3(1(2(0(0(4(0(3(5(5(0(1(4(2(1(4(0(4(1(4(1(4(x1))))))))))))))))))))))))))))))
, 3(3(4(4(5(0(2(0(4(0(2(4(2(0(1(5(3(0(5(1(5(0(3(1(1(4(0(2(4(x1)))))))))))))))))))))))))))))
->
3(3(4(4(5(0(0(2(4(0(2(4(2(0(1(5(3(0(5(1(5(0(3(1(1(4(0(2(4(x1)))))))))))))))))))))))))))))
, 4(1(5(0(0(3(0(5(5(3(1(2(2(4(5(3(3(4(0(1(2(5(0(3(5(3(0(5(x1))))))))))))))))))))))))))))
->
4(1(5(0(0(3(0(5(5(3(1(2(2(4(5(3(4(3(0(1(2(5(0(3(5(3(0(5(x1))))))))))))))))))))))))))))
, 1(2(1(4(5(1(3(2(3(2(3(2(0(5(3(4(2(5(4(0(1(4(4(1(4(0(1(3(x1))))))))))))))))))))))))))))
->
1(2(1(4(5(1(3(2(3(2(3(2(5(0(3(4(2(5(4(0(1(4(4(1(4(0(1(3(x1))))))))))))))))))))))))))))
, 3(0(3(4(0(5(5(4(4(2(3(2(0(5(1(4(4(4(1(0(2(1(4(3(1(5(5(x1)))))))))))))))))))))))))))
->
3(0(3(4(0(5(5(4(2(4(3(2(0(5(1(4(4(4(1(0(2(1(4(3(1(5(5(x1)))))))))))))))))))))))))))
, 2(4(0(5(5(3(5(5(3(5(1(5(3(1(2(4(5(2(5(2(0(4(2(2(0(1(1(x1)))))))))))))))))))))))))))
->
2(4(0(5(5(3(5(5(3(5(1(5(3(1(2(5(4(2(5(2(0(4(2(2(0(1(1(x1)))))))))))))))))))))))))))
, 2(0(5(3(0(0(0(0(4(3(1(2(1(2(2(3(0(3(1(1(4(4(1(3(5(5(5(x1)))))))))))))))))))))))))))
->
2(0(5(0(3(0(0(0(4(3(1(2(1(2(2(3(0(3(1(1(4(4(1(3(5(5(5(x1)))))))))))))))))))))))))))
, 5(3(2(2(5(5(4(4(4(3(5(2(3(3(5(1(5(0(4(3(0(4(3(5(0(5(x1))))))))))))))))))))))))))
->
5(3(2(2(5(5(4(4(3(4(5(2(3(3(5(1(5(0(4(3(0(4(3(5(0(5(x1))))))))))))))))))))))))))
, 4(2(1(1(2(5(4(0(2(4(4(4(2(3(4(0(5(4(2(1(1(0(1(3(3(0(x1))))))))))))))))))))))))))
->
4(2(1(1(2(5(4(0(2(4(4(4(2(4(3(0(5(4(2(1(1(0(1(3(3(0(x1))))))))))))))))))))))))))
, 1(4(3(5(4(1(0(5(1(2(1(5(3(5(3(1(4(3(4(4(3(4(5(0(2(4(x1))))))))))))))))))))))))))
->
1(4(3(5(4(1(0(1(5(2(1(5(3(5(3(1(4(3(4(4(3(4(5(0(2(4(x1))))))))))))))))))))))))))
, 5(0(4(4(2(1(3(1(3(2(2(4(4(2(0(5(1(2(4(1(2(2(0(5(3(x1)))))))))))))))))))))))))
->
5(0(4(4(2(1(3(1(3(2(2(4(4(2(0(5(2(1(4(1(2(2(0(5(3(x1)))))))))))))))))))))))))
, 4(4(1(4(2(0(0(3(2(3(4(2(3(3(4(3(2(5(0(5(5(2(5(4(2(x1)))))))))))))))))))))))))
->
4(2(4(3(3(0(1(4(2(3(2(0(0(3(3(2(4(4(5(2(5(5(5(4(2(x1)))))))))))))))))))))))))
, 0(2(2(0(2(5(4(3(0(3(0(1(4(1(1(5(4(5(5(4(1(3(2(0(2(x1)))))))))))))))))))))))))
->
2(0(0(2(4(2(3(1(5(0(4(0(3(4(5(1(1(5(4(1(5(2(3(0(2(x1)))))))))))))))))))))))))
, 3(3(1(4(1(4(4(1(3(4(3(4(5(4(0(0(2(5(4(4(5(0(0(1(x1))))))))))))))))))))))))
->
3(3(1(4(1(4(4(1(3(4(3(4(4(5(0(0(2(5(4(4(5(0(0(1(x1))))))))))))))))))))))))
, 2(2(2(4(5(3(4(2(3(4(2(5(0(2(2(5(2(0(5(3(5(3(3(x1)))))))))))))))))))))))
->
2(2(2(4(5(3(4(3(2(4(2(5(0(2(2(5(2(0(5(3(5(3(3(x1)))))))))))))))))))))))
, 1(1(4(3(5(0(0(1(5(0(3(0(5(3(0(1(1(4(5(4(5(3(1(x1)))))))))))))))))))))))
->
1(1(4(3(5(0(0(1(5(0(3(5(0(3(0(1(1(4(5(4(5(3(1(x1)))))))))))))))))))))))
, 5(1(5(0(3(3(1(4(4(3(2(3(1(2(2(3(2(0(0(5(5(x1)))))))))))))))))))))
->
5(4(1(3(3(3(5(1(5(4(2(2(0(0(2(1(2(3(0(3(5(x1)))))))))))))))))))))
, 4(1(5(2(2(2(0(4(2(0(5(1(3(3(1(0(1(5(0(0(4(x1)))))))))))))))))))))
->
4(1(5(2(2(2(0(4(2(0(1(5(3(3(1(0(1(5(0(0(4(x1)))))))))))))))))))))
, 1(4(4(1(4(3(1(0(5(5(4(1(3(3(3(2(3(0(4(4(4(x1)))))))))))))))))))))
->
1(4(4(1(4(3(1(0(5(5(4(1(3(3(2(3(3(0(4(4(4(x1)))))))))))))))))))))
, 1(1(5(2(4(2(5(3(5(2(3(3(4(0(4(4(5(0(5(3(2(x1)))))))))))))))))))))
->
1(1(2(5(4(2(5(3(5(2(3(3(4(0(4(4(5(0(3(5(2(x1)))))))))))))))))))))
, 1(0(0(3(1(0(5(2(3(1(3(0(2(3(0(5(1(1(0(2(5(x1)))))))))))))))))))))
->
1(3(2(0(0(1(0(3(5(1(1(0(2(3(0(2(1(3(0(5(5(x1)))))))))))))))))))))
, 0(5(4(3(4(2(4(0(5(4(1(5(2(0(3(0(3(2(0(1(3(x1)))))))))))))))))))))
->
0(5(4(3(2(4(4(5(0(4(1(5(2(0(3(0(3(1(2(0(3(x1)))))))))))))))))))))
, 3(4(4(5(4(3(5(3(2(2(5(4(1(4(5(5(4(5(4(4(x1)))))))))))))))))))) ->
3(4(4(5(3(4(5(3(2(5(2(1(4(4(5(5(5(4(4(4(x1))))))))))))))))))))
, 3(4(3(3(5(3(5(4(0(5(5(3(5(2(0(1(0(4(3(x1))))))))))))))))))) ->
3(4(3(3(5(3(5(4(0(5(5(5(3(2(0(1(0(4(3(x1)))))))))))))))))))
, 2(1(4(5(3(0(0(5(0(3(0(5(2(5(1(5(3(2(0(x1))))))))))))))))))) ->
2(1(4(5(3(0(0(5(0(0(3(5(2(5(1(5(3(2(0(x1)))))))))))))))))))
, 0(5(4(0(3(2(4(1(5(2(0(5(3(2(5(1(3(1(4(x1))))))))))))))))))) ->
0(5(4(0(3(4(2(1(5(2(0(5(3(2(5(1(3(1(4(x1)))))))))))))))))))
, 4(4(0(5(0(1(4(1(1(4(3(2(2(3(0(4(5(4(x1)))))))))))))))))) ->
4(4(0(5(0(4(1(1(1(4(3(2(2(3(0(4(5(4(x1))))))))))))))))))
, 3(4(1(4(1(0(4(4(4(0(3(4(1(3(4(4(5(3(x1)))))))))))))))))) ->
3(4(1(1(4(0(4(4(4(0(3(4(1(3(4(4(5(3(x1))))))))))))))))))
, 2(2(2(4(3(3(5(3(2(4(1(5(2(0(4(5(5(x1))))))))))))))))) ->
2(2(2(4(3(3(5(2(3(4(1(5(2(0(4(5(5(x1)))))))))))))))))
, 0(0(4(3(3(3(5(0(3(0(1(2(2(2(2(2(2(x1))))))))))))))))) ->
0(0(4(3(3(3(5(3(0(0(1(2(2(2(2(2(2(x1)))))))))))))))))
, 4(4(4(4(2(1(2(3(2(0(2(2(3(5(4(3(x1)))))))))))))))) ->
4(4(4(4(2(1(2(3(0(2(2(2(3(5(4(3(x1))))))))))))))))
, 3(3(5(5(3(0(4(1(3(4(1(2(5(2(4(0(x1)))))))))))))))) ->
3(3(5(5(3(0(4(1(3(4(2(1(5(2(4(0(x1))))))))))))))))
, 4(1(4(2(4(1(1(0(5(4(1(0(5(3(x1)))))))))))))) ->
0(4(1(1(2(4(4(5(4(1(1(0(3(5(x1))))))))))))))
, 3(2(2(0(2(2(4(1(5(0(3(1(1(4(x1)))))))))))))) ->
3(2(2(0(2(2(1(5(4(0(1(3(1(4(x1))))))))))))))
, 3(2(2(1(1(3(1(5(5(5(5(0(1(x1))))))))))))) ->
3(2(1(2(1(3(1(5(5(5(5(0(1(x1)))))))))))))
, 5(2(2(2(2(0(0(0(2(5(0(5(x1)))))))))))) ->
2(1(1(1(4(0(3(5(3(1(x1))))))))))
, 5(2(0(2(5(3(5(5(5(3(0(3(x1)))))))))))) ->
5(1(3(0(1(3(2(2(2(4(x1))))))))))
, 5(1(4(0(0(1(4(3(5(1(2(5(x1)))))))))))) ->
4(4(3(2(3(2(3(1(2(2(x1))))))))))
, 5(0(1(3(4(3(0(4(4(0(0(1(x1)))))))))))) ->
1(3(5(2(3(2(1(1(5(2(x1))))))))))
, 4(0(1(0(4(2(4(0(1(2(2(1(x1)))))))))))) ->
3(3(3(2(4(1(2(3(4(5(x1))))))))))
, 3(1(2(1(2(4(5(4(0(0(4(5(x1)))))))))))) ->
5(5(4(0(1(2(4(2(3(1(x1))))))))))
, 2(5(0(2(1(0(0(2(1(2(4(1(x1)))))))))))) ->
1(2(3(5(4(1(3(1(5(1(x1))))))))))
, 2(0(1(5(2(1(5(0(4(4(2(0(x1)))))))))))) ->
5(2(4(5(4(1(2(3(4(1(x1))))))))))
, 1(4(1(0(0(4(0(5(1(4(1(0(x1)))))))))))) ->
0(0(2(2(5(5(5(4(3(3(x1))))))))))
, 1(3(4(1(5(4(4(1(5(3(5(0(x1)))))))))))) ->
5(1(2(0(4(5(3(4(3(3(x1))))))))))
, 1(3(3(3(3(2(5(0(0(1(0(0(x1)))))))))))) ->
1(0(0(3(0(1(0(3(1(1(x1))))))))))
, 1(2(5(4(2(5(2(4(4(2(1(3(x1)))))))))))) ->
1(5(4(1(2(3(1(4(4(0(x1))))))))))
, 1(2(5(2(3(2(5(0(3(5(4(4(x1)))))))))))) ->
4(1(0(1(3(4(3(2(3(0(x1))))))))))
, 1(0(0(0(2(4(4(5(3(1(3(0(x1)))))))))))) ->
3(2(1(2(4(0(0(0(5(5(x1))))))))))
, 0(5(5(1(5(4(4(3(5(0(2(1(x1)))))))))))) ->
2(2(5(2(2(2(5(4(1(0(x1))))))))))
, 0(4(1(5(5(3(1(0(3(2(0(0(x1)))))))))))) ->
5(2(5(5(1(0(5(0(5(1(x1))))))))))
, 0(4(1(1(3(5(2(5(4(2(0(0(x1)))))))))))) ->
2(5(2(5(3(3(1(2(1(5(x1))))))))))
, 5(5(5(2(4(2(3(1(5(4(2(x1))))))))))) ->
2(1(0(1(0(0(3(2(2(1(x1))))))))))
, 5(2(3(4(0(3(0(2(4(3(5(x1))))))))))) ->
5(2(4(5(4(3(0(1(5(1(x1))))))))))
, 5(2(2(1(5(4(5(4(2(1(5(x1))))))))))) ->
3(5(3(4(3(5(3(4(0(4(x1))))))))))
, 5(0(3(2(0(1(5(1(5(5(0(x1))))))))))) ->
5(1(0(5(5(4(4(2(4(3(x1))))))))))
, 4(5(1(5(2(0(2(5(3(4(1(x1))))))))))) ->
0(1(2(5(5(5(5(4(5(4(x1))))))))))
, 4(4(0(1(4(1(2(0(3(4(0(x1))))))))))) ->
0(5(0(4(2(0(2(5(5(5(x1))))))))))
, 4(3(5(1(3(4(4(3(0(1(3(x1))))))))))) ->
2(0(1(3(1(3(4(3(1(1(x1))))))))))
, 4(3(1(4(0(3(4(0(1(5(2(x1))))))))))) ->
2(5(3(0(4(1(4(4(2(1(x1))))))))))
, 4(2(2(0(1(4(2(2(1(1(2(x1))))))))))) ->
5(5(4(3(2(1(3(3(0(1(x1))))))))))
, 4(2(0(5(1(4(2(3(3(2(0(x1))))))))))) ->
4(2(4(2(5(3(3(0(1(2(0(x1)))))))))))
, 4(0(2(5(4(4(0(2(1(4(3(x1))))))))))) ->
5(1(5(2(4(3(2(0(0(3(x1))))))))))
, 4(0(2(2(4(5(1(2(1(1(3(x1))))))))))) ->
4(4(1(4(4(3(1(0(2(0(x1))))))))))
, 3(5(2(5(3(5(2(3(4(4(3(x1))))))))))) ->
2(0(1(0(5(2(2(2(0(3(x1))))))))))
, 3(1(0(4(5(4(3(2(2(0(3(x1))))))))))) ->
5(4(2(1(4(3(2(0(3(5(x1))))))))))
, 3(0(5(3(4(4(5(3(2(5(4(x1))))))))))) ->
5(5(4(0(3(4(1(0(4(5(x1))))))))))
, 3(0(2(0(0(5(0(3(3(4(1(x1))))))))))) ->
0(4(2(4(4(1(4(5(1(4(x1))))))))))
, 2(5(3(1(1(3(4(5(3(2(4(x1))))))))))) ->
3(4(1(3(3(0(2(4(3(4(x1))))))))))
, 2(2(1(0(3(4(3(4(4(4(5(x1))))))))))) ->
5(4(5(5(4(4(5(0(5(3(x1))))))))))
, 2(1(2(3(2(4(1(5(0(3(2(x1))))))))))) ->
2(2(5(4(4(4(2(3(2(0(x1))))))))))
, 2(1(0(2(2(5(0(0(2(3(3(x1))))))))))) ->
5(2(4(0(4(3(4(5(0(3(x1))))))))))
, 1(4(2(4(4(0(2(3(5(5(1(x1))))))))))) ->
1(2(0(4(4(2(0(2(0(1(x1))))))))))
, 1(4(2(1(1(1(5(2(5(0(5(x1))))))))))) ->
2(4(0(2(1(0(5(1(4(1(x1))))))))))
, 1(3(4(3(3(4(2(4(0(2(2(x1))))))))))) ->
1(4(4(2(1(0(5(2(0(2(x1))))))))))
, 1(1(5(3(0(1(5(0(0(2(3(x1))))))))))) ->
5(4(3(5(1(0(0(3(4(0(x1))))))))))
, 1(1(3(0(5(3(3(3(3(2(0(x1))))))))))) ->
4(2(3(3(2(5(0(4(2(1(x1))))))))))
, 0(4(3(1(5(5(1(5(1(1(3(x1))))))))))) ->
0(1(5(2(2(4(5(2(3(3(x1))))))))))
, 0(4(1(1(4(0(5(3(2(4(0(x1))))))))))) ->
4(4(0(4(5(0(5(2(2(5(x1))))))))))
, 0(2(5(1(2(3(5(0(5(5(4(x1))))))))))) ->
5(0(1(0(5(4(2(4(0(0(x1))))))))))
, 5(0(3(5(1(5(3(2(3(1(x1)))))))))) ->
5(4(1(5(5(4(4(5(1(1(x1))))))))))
, 4(4(5(3(3(2(4(1(3(5(x1)))))))))) ->
0(0(3(5(0(5(1(5(5(2(x1))))))))))
, 4(2(2(2(1(2(2(5(5(3(x1)))))))))) ->
1(2(0(2(1(1(0(2(5(3(x1))))))))))
, 4(2(2(1(4(3(4(0(1(2(x1)))))))))) ->
2(3(0(0(1(4(4(2(4(2(x1))))))))))
, 3(3(2(3(3(2(1(3(3(2(x1)))))))))) ->
3(0(4(2(1(4(5(1(3(3(x1))))))))))
, 1(4(2(5(2(2(5(0(3(1(x1)))))))))) ->
0(5(0(0(3(5(2(5(5(0(x1))))))))))
, 1(0(5(4(5(0(0(0(1(4(x1)))))))))) ->
1(5(0(5(0(4(0(0(1(4(x1))))))))))
, 4(3(0(5(5(0(1(1(2(x1))))))))) -> 4(3(0(5(5(1(0(1(2(x1)))))))))
, 3(2(5(0(1(3(4(5(3(x1))))))))) -> 3(2(5(1(0(3(4(5(3(x1)))))))))
, 3(0(2(4(1(0(3(3(x1)))))))) -> 3(0(2(1(4(0(3(3(x1))))))))
, 0(1(1(2(3(0(1(1(x1)))))))) -> 0(1(1(2(1(3(0(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:
{ 3(0(1(4(4(3(4(2(3(1(2(0(0(4(0(3(5(5(0(1(4(2(1(4(0(1(4(4(1(4(x1))))))))))))))))))))))))))))))
->
3(0(1(4(4(3(4(2(3(1(2(0(0(4(0(3(5(5(0(1(4(2(1(4(0(4(1(4(1(4(x1))))))))))))))))))))))))))))))
, 3(3(4(4(5(0(2(0(4(0(2(4(2(0(1(5(3(0(5(1(5(0(3(1(1(4(0(2(4(x1)))))))))))))))))))))))))))))
->
3(3(4(4(5(0(0(2(4(0(2(4(2(0(1(5(3(0(5(1(5(0(3(1(1(4(0(2(4(x1)))))))))))))))))))))))))))))
, 4(1(5(0(0(3(0(5(5(3(1(2(2(4(5(3(3(4(0(1(2(5(0(3(5(3(0(5(x1))))))))))))))))))))))))))))
->
4(1(5(0(0(3(0(5(5(3(1(2(2(4(5(3(4(3(0(1(2(5(0(3(5(3(0(5(x1))))))))))))))))))))))))))))
, 1(2(1(4(5(1(3(2(3(2(3(2(0(5(3(4(2(5(4(0(1(4(4(1(4(0(1(3(x1))))))))))))))))))))))))))))
->
1(2(1(4(5(1(3(2(3(2(3(2(5(0(3(4(2(5(4(0(1(4(4(1(4(0(1(3(x1))))))))))))))))))))))))))))
, 3(0(3(4(0(5(5(4(4(2(3(2(0(5(1(4(4(4(1(0(2(1(4(3(1(5(5(x1)))))))))))))))))))))))))))
->
3(0(3(4(0(5(5(4(2(4(3(2(0(5(1(4(4(4(1(0(2(1(4(3(1(5(5(x1)))))))))))))))))))))))))))
, 2(4(0(5(5(3(5(5(3(5(1(5(3(1(2(4(5(2(5(2(0(4(2(2(0(1(1(x1)))))))))))))))))))))))))))
->
2(4(0(5(5(3(5(5(3(5(1(5(3(1(2(5(4(2(5(2(0(4(2(2(0(1(1(x1)))))))))))))))))))))))))))
, 2(0(5(3(0(0(0(0(4(3(1(2(1(2(2(3(0(3(1(1(4(4(1(3(5(5(5(x1)))))))))))))))))))))))))))
->
2(0(5(0(3(0(0(0(4(3(1(2(1(2(2(3(0(3(1(1(4(4(1(3(5(5(5(x1)))))))))))))))))))))))))))
, 5(3(2(2(5(5(4(4(4(3(5(2(3(3(5(1(5(0(4(3(0(4(3(5(0(5(x1))))))))))))))))))))))))))
->
5(3(2(2(5(5(4(4(3(4(5(2(3(3(5(1(5(0(4(3(0(4(3(5(0(5(x1))))))))))))))))))))))))))
, 4(2(1(1(2(5(4(0(2(4(4(4(2(3(4(0(5(4(2(1(1(0(1(3(3(0(x1))))))))))))))))))))))))))
->
4(2(1(1(2(5(4(0(2(4(4(4(2(4(3(0(5(4(2(1(1(0(1(3(3(0(x1))))))))))))))))))))))))))
, 1(4(3(5(4(1(0(5(1(2(1(5(3(5(3(1(4(3(4(4(3(4(5(0(2(4(x1))))))))))))))))))))))))))
->
1(4(3(5(4(1(0(1(5(2(1(5(3(5(3(1(4(3(4(4(3(4(5(0(2(4(x1))))))))))))))))))))))))))
, 5(0(4(4(2(1(3(1(3(2(2(4(4(2(0(5(1(2(4(1(2(2(0(5(3(x1)))))))))))))))))))))))))
->
5(0(4(4(2(1(3(1(3(2(2(4(4(2(0(5(2(1(4(1(2(2(0(5(3(x1)))))))))))))))))))))))))
, 4(4(1(4(2(0(0(3(2(3(4(2(3(3(4(3(2(5(0(5(5(2(5(4(2(x1)))))))))))))))))))))))))
->
4(2(4(3(3(0(1(4(2(3(2(0(0(3(3(2(4(4(5(2(5(5(5(4(2(x1)))))))))))))))))))))))))
, 0(2(2(0(2(5(4(3(0(3(0(1(4(1(1(5(4(5(5(4(1(3(2(0(2(x1)))))))))))))))))))))))))
->
2(0(0(2(4(2(3(1(5(0(4(0(3(4(5(1(1(5(4(1(5(2(3(0(2(x1)))))))))))))))))))))))))
, 3(3(1(4(1(4(4(1(3(4(3(4(5(4(0(0(2(5(4(4(5(0(0(1(x1))))))))))))))))))))))))
->
3(3(1(4(1(4(4(1(3(4(3(4(4(5(0(0(2(5(4(4(5(0(0(1(x1))))))))))))))))))))))))
, 2(2(2(4(5(3(4(2(3(4(2(5(0(2(2(5(2(0(5(3(5(3(3(x1)))))))))))))))))))))))
->
2(2(2(4(5(3(4(3(2(4(2(5(0(2(2(5(2(0(5(3(5(3(3(x1)))))))))))))))))))))))
, 1(1(4(3(5(0(0(1(5(0(3(0(5(3(0(1(1(4(5(4(5(3(1(x1)))))))))))))))))))))))
->
1(1(4(3(5(0(0(1(5(0(3(5(0(3(0(1(1(4(5(4(5(3(1(x1)))))))))))))))))))))))
, 5(1(5(0(3(3(1(4(4(3(2(3(1(2(2(3(2(0(0(5(5(x1)))))))))))))))))))))
->
5(4(1(3(3(3(5(1(5(4(2(2(0(0(2(1(2(3(0(3(5(x1)))))))))))))))))))))
, 4(1(5(2(2(2(0(4(2(0(5(1(3(3(1(0(1(5(0(0(4(x1)))))))))))))))))))))
->
4(1(5(2(2(2(0(4(2(0(1(5(3(3(1(0(1(5(0(0(4(x1)))))))))))))))))))))
, 1(4(4(1(4(3(1(0(5(5(4(1(3(3(3(2(3(0(4(4(4(x1)))))))))))))))))))))
->
1(4(4(1(4(3(1(0(5(5(4(1(3(3(2(3(3(0(4(4(4(x1)))))))))))))))))))))
, 1(1(5(2(4(2(5(3(5(2(3(3(4(0(4(4(5(0(5(3(2(x1)))))))))))))))))))))
->
1(1(2(5(4(2(5(3(5(2(3(3(4(0(4(4(5(0(3(5(2(x1)))))))))))))))))))))
, 1(0(0(3(1(0(5(2(3(1(3(0(2(3(0(5(1(1(0(2(5(x1)))))))))))))))))))))
->
1(3(2(0(0(1(0(3(5(1(1(0(2(3(0(2(1(3(0(5(5(x1)))))))))))))))))))))
, 0(5(4(3(4(2(4(0(5(4(1(5(2(0(3(0(3(2(0(1(3(x1)))))))))))))))))))))
->
0(5(4(3(2(4(4(5(0(4(1(5(2(0(3(0(3(1(2(0(3(x1)))))))))))))))))))))
, 3(4(4(5(4(3(5(3(2(2(5(4(1(4(5(5(4(5(4(4(x1)))))))))))))))))))) ->
3(4(4(5(3(4(5(3(2(5(2(1(4(4(5(5(5(4(4(4(x1))))))))))))))))))))
, 3(4(3(3(5(3(5(4(0(5(5(3(5(2(0(1(0(4(3(x1))))))))))))))))))) ->
3(4(3(3(5(3(5(4(0(5(5(5(3(2(0(1(0(4(3(x1)))))))))))))))))))
, 2(1(4(5(3(0(0(5(0(3(0(5(2(5(1(5(3(2(0(x1))))))))))))))))))) ->
2(1(4(5(3(0(0(5(0(0(3(5(2(5(1(5(3(2(0(x1)))))))))))))))))))
, 0(5(4(0(3(2(4(1(5(2(0(5(3(2(5(1(3(1(4(x1))))))))))))))))))) ->
0(5(4(0(3(4(2(1(5(2(0(5(3(2(5(1(3(1(4(x1)))))))))))))))))))
, 4(4(0(5(0(1(4(1(1(4(3(2(2(3(0(4(5(4(x1)))))))))))))))))) ->
4(4(0(5(0(4(1(1(1(4(3(2(2(3(0(4(5(4(x1))))))))))))))))))
, 3(4(1(4(1(0(4(4(4(0(3(4(1(3(4(4(5(3(x1)))))))))))))))))) ->
3(4(1(1(4(0(4(4(4(0(3(4(1(3(4(4(5(3(x1))))))))))))))))))
, 2(2(2(4(3(3(5(3(2(4(1(5(2(0(4(5(5(x1))))))))))))))))) ->
2(2(2(4(3(3(5(2(3(4(1(5(2(0(4(5(5(x1)))))))))))))))))
, 0(0(4(3(3(3(5(0(3(0(1(2(2(2(2(2(2(x1))))))))))))))))) ->
0(0(4(3(3(3(5(3(0(0(1(2(2(2(2(2(2(x1)))))))))))))))))
, 4(4(4(4(2(1(2(3(2(0(2(2(3(5(4(3(x1)))))))))))))))) ->
4(4(4(4(2(1(2(3(0(2(2(2(3(5(4(3(x1))))))))))))))))
, 3(3(5(5(3(0(4(1(3(4(1(2(5(2(4(0(x1)))))))))))))))) ->
3(3(5(5(3(0(4(1(3(4(2(1(5(2(4(0(x1))))))))))))))))
, 4(1(4(2(4(1(1(0(5(4(1(0(5(3(x1)))))))))))))) ->
0(4(1(1(2(4(4(5(4(1(1(0(3(5(x1))))))))))))))
, 3(2(2(0(2(2(4(1(5(0(3(1(1(4(x1)))))))))))))) ->
3(2(2(0(2(2(1(5(4(0(1(3(1(4(x1))))))))))))))
, 3(2(2(1(1(3(1(5(5(5(5(0(1(x1))))))))))))) ->
3(2(1(2(1(3(1(5(5(5(5(0(1(x1)))))))))))))
, 5(2(2(2(2(0(0(0(2(5(0(5(x1)))))))))))) ->
2(1(1(1(4(0(3(5(3(1(x1))))))))))
, 5(2(0(2(5(3(5(5(5(3(0(3(x1)))))))))))) ->
5(1(3(0(1(3(2(2(2(4(x1))))))))))
, 5(1(4(0(0(1(4(3(5(1(2(5(x1)))))))))))) ->
4(4(3(2(3(2(3(1(2(2(x1))))))))))
, 5(0(1(3(4(3(0(4(4(0(0(1(x1)))))))))))) ->
1(3(5(2(3(2(1(1(5(2(x1))))))))))
, 4(0(1(0(4(2(4(0(1(2(2(1(x1)))))))))))) ->
3(3(3(2(4(1(2(3(4(5(x1))))))))))
, 3(1(2(1(2(4(5(4(0(0(4(5(x1)))))))))))) ->
5(5(4(0(1(2(4(2(3(1(x1))))))))))
, 2(5(0(2(1(0(0(2(1(2(4(1(x1)))))))))))) ->
1(2(3(5(4(1(3(1(5(1(x1))))))))))
, 2(0(1(5(2(1(5(0(4(4(2(0(x1)))))))))))) ->
5(2(4(5(4(1(2(3(4(1(x1))))))))))
, 1(4(1(0(0(4(0(5(1(4(1(0(x1)))))))))))) ->
0(0(2(2(5(5(5(4(3(3(x1))))))))))
, 1(3(4(1(5(4(4(1(5(3(5(0(x1)))))))))))) ->
5(1(2(0(4(5(3(4(3(3(x1))))))))))
, 1(3(3(3(3(2(5(0(0(1(0(0(x1)))))))))))) ->
1(0(0(3(0(1(0(3(1(1(x1))))))))))
, 1(2(5(4(2(5(2(4(4(2(1(3(x1)))))))))))) ->
1(5(4(1(2(3(1(4(4(0(x1))))))))))
, 1(2(5(2(3(2(5(0(3(5(4(4(x1)))))))))))) ->
4(1(0(1(3(4(3(2(3(0(x1))))))))))
, 1(0(0(0(2(4(4(5(3(1(3(0(x1)))))))))))) ->
3(2(1(2(4(0(0(0(5(5(x1))))))))))
, 0(5(5(1(5(4(4(3(5(0(2(1(x1)))))))))))) ->
2(2(5(2(2(2(5(4(1(0(x1))))))))))
, 0(4(1(5(5(3(1(0(3(2(0(0(x1)))))))))))) ->
5(2(5(5(1(0(5(0(5(1(x1))))))))))
, 0(4(1(1(3(5(2(5(4(2(0(0(x1)))))))))))) ->
2(5(2(5(3(3(1(2(1(5(x1))))))))))
, 5(5(5(2(4(2(3(1(5(4(2(x1))))))))))) ->
2(1(0(1(0(0(3(2(2(1(x1))))))))))
, 5(2(3(4(0(3(0(2(4(3(5(x1))))))))))) ->
5(2(4(5(4(3(0(1(5(1(x1))))))))))
, 5(2(2(1(5(4(5(4(2(1(5(x1))))))))))) ->
3(5(3(4(3(5(3(4(0(4(x1))))))))))
, 5(0(3(2(0(1(5(1(5(5(0(x1))))))))))) ->
5(1(0(5(5(4(4(2(4(3(x1))))))))))
, 4(5(1(5(2(0(2(5(3(4(1(x1))))))))))) ->
0(1(2(5(5(5(5(4(5(4(x1))))))))))
, 4(4(0(1(4(1(2(0(3(4(0(x1))))))))))) ->
0(5(0(4(2(0(2(5(5(5(x1))))))))))
, 4(3(5(1(3(4(4(3(0(1(3(x1))))))))))) ->
2(0(1(3(1(3(4(3(1(1(x1))))))))))
, 4(3(1(4(0(3(4(0(1(5(2(x1))))))))))) ->
2(5(3(0(4(1(4(4(2(1(x1))))))))))
, 4(2(2(0(1(4(2(2(1(1(2(x1))))))))))) ->
5(5(4(3(2(1(3(3(0(1(x1))))))))))
, 4(2(0(5(1(4(2(3(3(2(0(x1))))))))))) ->
4(2(4(2(5(3(3(0(1(2(0(x1)))))))))))
, 4(0(2(5(4(4(0(2(1(4(3(x1))))))))))) ->
5(1(5(2(4(3(2(0(0(3(x1))))))))))
, 4(0(2(2(4(5(1(2(1(1(3(x1))))))))))) ->
4(4(1(4(4(3(1(0(2(0(x1))))))))))
, 3(5(2(5(3(5(2(3(4(4(3(x1))))))))))) ->
2(0(1(0(5(2(2(2(0(3(x1))))))))))
, 3(1(0(4(5(4(3(2(2(0(3(x1))))))))))) ->
5(4(2(1(4(3(2(0(3(5(x1))))))))))
, 3(0(5(3(4(4(5(3(2(5(4(x1))))))))))) ->
5(5(4(0(3(4(1(0(4(5(x1))))))))))
, 3(0(2(0(0(5(0(3(3(4(1(x1))))))))))) ->
0(4(2(4(4(1(4(5(1(4(x1))))))))))
, 2(5(3(1(1(3(4(5(3(2(4(x1))))))))))) ->
3(4(1(3(3(0(2(4(3(4(x1))))))))))
, 2(2(1(0(3(4(3(4(4(4(5(x1))))))))))) ->
5(4(5(5(4(4(5(0(5(3(x1))))))))))
, 2(1(2(3(2(4(1(5(0(3(2(x1))))))))))) ->
2(2(5(4(4(4(2(3(2(0(x1))))))))))
, 2(1(0(2(2(5(0(0(2(3(3(x1))))))))))) ->
5(2(4(0(4(3(4(5(0(3(x1))))))))))
, 1(4(2(4(4(0(2(3(5(5(1(x1))))))))))) ->
1(2(0(4(4(2(0(2(0(1(x1))))))))))
, 1(4(2(1(1(1(5(2(5(0(5(x1))))))))))) ->
2(4(0(2(1(0(5(1(4(1(x1))))))))))
, 1(3(4(3(3(4(2(4(0(2(2(x1))))))))))) ->
1(4(4(2(1(0(5(2(0(2(x1))))))))))
, 1(1(5(3(0(1(5(0(0(2(3(x1))))))))))) ->
5(4(3(5(1(0(0(3(4(0(x1))))))))))
, 1(1(3(0(5(3(3(3(3(2(0(x1))))))))))) ->
4(2(3(3(2(5(0(4(2(1(x1))))))))))
, 0(4(3(1(5(5(1(5(1(1(3(x1))))))))))) ->
0(1(5(2(2(4(5(2(3(3(x1))))))))))
, 0(4(1(1(4(0(5(3(2(4(0(x1))))))))))) ->
4(4(0(4(5(0(5(2(2(5(x1))))))))))
, 0(2(5(1(2(3(5(0(5(5(4(x1))))))))))) ->
5(0(1(0(5(4(2(4(0(0(x1))))))))))
, 5(0(3(5(1(5(3(2(3(1(x1)))))))))) ->
5(4(1(5(5(4(4(5(1(1(x1))))))))))
, 4(4(5(3(3(2(4(1(3(5(x1)))))))))) ->
0(0(3(5(0(5(1(5(5(2(x1))))))))))
, 4(2(2(2(1(2(2(5(5(3(x1)))))))))) ->
1(2(0(2(1(1(0(2(5(3(x1))))))))))
, 4(2(2(1(4(3(4(0(1(2(x1)))))))))) ->
2(3(0(0(1(4(4(2(4(2(x1))))))))))
, 3(3(2(3(3(2(1(3(3(2(x1)))))))))) ->
3(0(4(2(1(4(5(1(3(3(x1))))))))))
, 1(4(2(5(2(2(5(0(3(1(x1)))))))))) ->
0(5(0(0(3(5(2(5(5(0(x1))))))))))
, 1(0(5(4(5(0(0(0(1(4(x1)))))))))) ->
1(5(0(5(0(4(0(0(1(4(x1))))))))))
, 4(3(0(5(5(0(1(1(2(x1))))))))) -> 4(3(0(5(5(1(0(1(2(x1)))))))))
, 3(2(5(0(1(3(4(5(3(x1))))))))) -> 3(2(5(1(0(3(4(5(3(x1)))))))))
, 3(0(2(4(1(0(3(3(x1)))))))) -> 3(0(2(1(4(0(3(3(x1))))))))
, 0(1(1(2(3(0(1(1(x1)))))))) -> 0(1(1(2(1(3(0(1(x1))))))))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..