Problem ICFP 2010 88156

Tool Bounds

Execution Time	2.0862331ms
Answer	YES(?,O(n^1))
Input	ICFP 2010 88156

stdout:

YES(?,O(n^1))

We consider the following Problem:

  Strict Trs:
    {  3(2(2(2(0(1(3(0(2(2(3(3(0(x1))))))))))))) ->
       1(1(0(1(0(0(3(0(1(2(1(1(0(0(1(0(0(x1)))))))))))))))))
     , 3(0(0(1(3(1(2(0(2(0(3(3(3(x1))))))))))))) ->
       0(0(1(0(1(2(0(0(3(0(2(2(2(0(0(1(3(x1)))))))))))))))))
     , 2(3(0(2(2(0(2(0(3(2(3(2(3(x1))))))))))))) ->
       1(0(0(3(2(0(3(3(0(0(3(0(0(2(0(0(2(x1)))))))))))))))))
     , 2(3(0(0(0(2(3(3(2(0(3(0(3(x1))))))))))))) ->
       2(2(0(0(0(1(2(0(0(0(3(0(2(0(3(2(0(x1)))))))))))))))))
     , 2(2(0(1(0(1(0(3(3(2(1(2(3(x1))))))))))))) ->
       0(3(0(1(2(0(1(2(0(2(2(1(2(1(0(0(0(x1)))))))))))))))))
     , 2(1(1(0(3(2(1(2(0(0(3(1(3(x1))))))))))))) ->
       2(2(0(1(0(0(0(0(2(2(0(0(2(2(1(3(3(x1)))))))))))))))))
     , 2(0(3(3(1(2(2(0(0(2(1(0(1(x1))))))))))))) ->
       3(2(0(1(0(0(2(0(3(1(0(0(0(2(1(0(2(x1)))))))))))))))))
     , 2(0(2(2(1(2(2(3(2(0(1(1(2(x1))))))))))))) ->
       0(2(3(1(3(1(0(0(0(0(0(0(1(2(2(1(0(x1)))))))))))))))))
     , 2(0(2(1(2(2(3(2(2(2(2(1(0(x1))))))))))))) ->
       1(0(0(0(0(1(0(0(2(0(3(1(0(0(2(3(0(x1)))))))))))))))))
     , 1(3(3(2(2(2(3(2(2(0(2(3(0(x1))))))))))))) ->
       3(0(3(2(2(0(2(2(1(0(2(2(3(1(2(0(0(x1)))))))))))))))))
     , 1(3(3(0(2(3(0(3(2(0(0(1(1(x1))))))))))))) ->
       3(2(0(3(0(3(0(0(2(0(0(0(1(0(2(3(1(x1)))))))))))))))))
     , 1(3(2(1(0(1(0(3(0(1(3(0(0(x1))))))))))))) ->
       0(3(1(0(0(0(3(0(0(2(3(2(1(0(1(0(0(x1)))))))))))))))))
     , 1(3(1(3(1(0(2(0(1(3(0(0(1(x1))))))))))))) ->
       2(2(0(0(0(1(0(0(2(0(0(1(3(3(3(0(1(x1)))))))))))))))))
     , 1(3(1(1(3(0(0(1(0(0(2(3(0(x1))))))))))))) ->
       2(1(0(2(0(3(2(0(0(0(0(2(0(1(1(3(0(x1)))))))))))))))))
     , 1(3(1(0(1(3(1(2(0(1(3(1(0(x1))))))))))))) ->
       1(2(0(3(1(3(0(0(3(3(1(0(3(0(0(0(0(x1)))))))))))))))))
     , 1(3(0(0(3(2(2(2(2(1(0(2(3(x1))))))))))))) ->
       3(0(0(2(2(0(3(2(0(3(0(2(3(1(2(0(0(x1)))))))))))))))))
     , 1(2(3(1(0(2(1(0(0(1(1(1(0(x1))))))))))))) ->
       0(3(0(1(0(1(2(0(3(0(0(0(1(0(1(3(0(x1)))))))))))))))))
     , 1(2(2(1(2(2(0(0(1(2(2(0(1(x1))))))))))))) ->
       0(0(3(0(0(1(2(2(0(3(2(0(2(0(1(0(3(x1)))))))))))))))))
     , 1(1(2(0(2(2(0(0(1(3(2(3(2(x1))))))))))))) ->
       2(0(0(0(0(1(2(3(0(1(0(0(3(2(0(0(1(x1)))))))))))))))))
     , 1(0(3(0(2(1(1(0(1(1(1(2(2(x1))))))))))))) ->
       0(3(2(0(0(2(0(0(3(0(0(0(3(3(3(3(3(x1)))))))))))))))))
     , 1(0(0(3(2(0(1(0(1(2(2(1(1(x1))))))))))))) ->
       0(0(3(3(1(0(0(0(2(0(2(0(1(0(0(1(2(x1)))))))))))))))))
     , 0(2(3(2(2(3(1(0(2(0(3(1(3(x1))))))))))))) ->
       0(0(3(0(2(1(1(0(0(2(2(0(2(0(2(2(3(x1)))))))))))))))))
     , 0(2(3(1(1(0(2(0(0(2(1(3(2(x1))))))))))))) ->
       0(2(2(0(0(3(2(2(0(1(2(2(0(0(2(2(0(x1)))))))))))))))))
     , 0(2(3(0(2(2(3(2(2(1(1(2(3(x1))))))))))))) ->
       1(0(0(2(3(2(0(2(0(1(3(0(2(0(1(1(2(x1)))))))))))))))))
     , 0(2(2(3(2(2(1(2(0(3(2(0(3(x1))))))))))))) ->
       0(3(2(1(0(2(3(0(0(1(0(2(1(0(0(3(0(x1)))))))))))))))))
     , 0(2(0(2(0(2(3(2(3(1(1(3(1(x1))))))))))))) ->
       0(0(1(3(0(0(3(0(3(2(3(0(0(2(2(1(0(x1)))))))))))))))))
     , 0(1(3(2(1(0(3(0(0(1(1(1(1(x1))))))))))))) ->
       0(3(1(3(1(0(0(3(2(0(3(0(3(0(0(1(0(x1)))))))))))))))))
     , 0(1(1(0(0(1(3(1(2(0(3(1(2(x1))))))))))))) ->
       0(2(0(2(0(1(3(0(2(0(0(0(0(1(2(2(0(x1)))))))))))))))))
     , 0(1(0(3(1(0(2(2(1(1(0(2(1(x1))))))))))))) ->
       0(0(2(2(3(0(0(0(0(1(0(1(0(3(0(1(2(x1)))))))))))))))))
     , 0(0(1(1(2(0(3(0(1(2(0(1(1(x1))))))))))))) ->
       0(0(3(0(0(2(0(2(2(0(0(1(0(0(0(1(0(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) -> 154
   , 1_1(2) -> 1
   , 1_1(2) -> 17
   , 1_1(2) -> 32
   , 1_1(2) -> 33
   , 1_1(2) -> 47
   , 1_1(2) -> 48
   , 1_1(2) -> 62
   , 1_1(2) -> 63
   , 1_1(2) -> 126
   , 1_1(2) -> 127
   , 1_1(2) -> 128
   , 1_1(2) -> 151
   , 1_1(2) -> 152
   , 1_1(2) -> 154
   , 1_1(2) -> 639
   , 1_1(3) -> 2
   , 1_1(5) -> 4
   , 1_1(10) -> 9
   , 1_1(12) -> 11
   , 1_1(13) -> 12
   , 1_1(14) -> 164
   , 1_1(16) -> 15
   , 1_1(17) -> 116
   , 1_1(20) -> 19
   , 1_1(22) -> 21
   , 1_1(31) -> 227
   , 1_1(32) -> 184
   , 1_1(33) -> 32
   , 1_1(47) -> 102
   , 1_1(48) -> 572
   , 1_1(49) -> 15
   , 1_1(54) -> 53
   , 1_1(61) -> 346
   , 1_1(62) -> 32
   , 1_1(63) -> 140
   , 1_1(66) -> 65
   , 1_1(69) -> 68
   , 1_1(74) -> 73
   , 1_1(76) -> 75
   , 1_1(77) -> 51
   , 1_1(88) -> 87
   , 1_1(89) -> 3
   , 1_1(90) -> 15
   , 1_1(92) -> 91
   , 1_1(98) -> 97
   , 1_1(105) -> 104
   , 1_1(107) -> 106
   , 1_1(114) -> 113
   , 1_1(119) -> 118
   , 1_1(125) -> 124
   , 1_1(126) -> 150
   , 1_1(128) -> 185
   , 1_1(136) -> 135
   , 1_1(141) -> 140
   , 1_1(151) -> 150
   , 1_1(155) -> 64
   , 1_1(170) -> 169
   , 1_1(173) -> 49
   , 1_1(184) -> 184
   , 1_1(185) -> 184
   , 1_1(189) -> 188
   , 1_1(195) -> 194
   , 1_1(207) -> 206
   , 1_1(228) -> 227
   , 1_1(325) -> 324
   , 1_1(347) -> 346
   , 1_1(441) -> 440
   , 1_1(445) -> 444
   , 1_1(484) -> 169
   , 1_1(562) -> 561
   , 1_1(570) -> 569
   , 1_1(572) -> 750
   , 1_1(630) -> 629
   , 1_1(631) -> 630
   , 1_1(688) -> 687
   , 1_1(692) -> 1002
   , 1_1(746) -> 745
   , 1_1(751) -> 449
   , 1_1(757) -> 756
   , 1_1(760) -> 759
   , 1_1(904) -> 903
   , 1_1(976) -> 975
   , 1_1(1071) -> 1070
   , 1_1(1073) -> 1072
   , 1_1(1299) -> 1298
   , 0_0(1) -> 1
   , 0_1(1) -> 17
   , 0_1(2) -> 16
   , 0_1(3) -> 1
   , 0_1(3) -> 14
   , 0_1(3) -> 17
   , 0_1(3) -> 345
   , 0_1(4) -> 3
   , 0_1(6) -> 5
   , 0_1(7) -> 6
   , 0_1(9) -> 8
   , 0_1(13) -> 1299
   , 0_1(14) -> 13
   , 0_1(15) -> 14
   , 0_1(16) -> 76
   , 0_1(17) -> 16
   , 0_1(18) -> 1
   , 0_1(18) -> 14
   , 0_1(18) -> 17
   , 0_1(18) -> 18
   , 0_1(18) -> 31
   , 0_1(18) -> 32
   , 0_1(18) -> 33
   , 0_1(18) -> 47
   , 0_1(18) -> 48
   , 0_1(18) -> 63
   , 0_1(18) -> 85
   , 0_1(18) -> 86
   , 0_1(18) -> 114
   , 0_1(18) -> 115
   , 0_1(18) -> 116
   , 0_1(18) -> 126
   , 0_1(18) -> 127
   , 0_1(18) -> 128
   , 0_1(18) -> 151
   , 0_1(18) -> 154
   , 0_1(18) -> 346
   , 0_1(18) -> 572
   , 0_1(18) -> 636
   , 0_1(18) -> 637
   , 0_1(18) -> 638
   , 0_1(18) -> 639
   , 0_1(18) -> 692
   , 0_1(18) -> 923
   , 0_1(19) -> 18
   , 0_1(21) -> 20
   , 0_1(24) -> 23
   , 0_1(25) -> 24
   , 0_1(27) -> 26
   , 0_1(31) -> 30
   , 0_1(32) -> 31
   , 0_1(33) -> 347
   , 0_1(34) -> 2
   , 0_1(35) -> 34
   , 0_1(38) -> 37
   , 0_1(41) -> 40
   , 0_1(42) -> 41
   , 0_1(44) -> 43
   , 0_1(45) -> 44
   , 0_1(47) -> 46
   , 0_1(48) -> 47
   , 0_1(49) -> 17
   , 0_1(51) -> 50
   , 0_1(52) -> 51
   , 0_1(53) -> 52
   , 0_1(56) -> 55
   , 0_1(57) -> 56
   , 0_1(58) -> 57
   , 0_1(60) -> 59
   , 0_1(61) -> 760
   , 0_1(62) -> 61
   , 0_1(64) -> 3
   , 0_1(65) -> 64
   , 0_1(68) -> 67
   , 0_1(71) -> 70
   , 0_1(76) -> 197
   , 0_1(78) -> 77
   , 0_1(79) -> 78
   , 0_1(80) -> 79
   , 0_1(81) -> 80
   , 0_1(84) -> 83
   , 0_1(85) -> 84
   , 0_1(89) -> 1
   , 0_1(89) -> 13
   , 0_1(89) -> 14
   , 0_1(89) -> 15
   , 0_1(89) -> 16
   , 0_1(89) -> 17
   , 0_1(89) -> 47
   , 0_1(89) -> 116
   , 0_1(89) -> 126
   , 0_1(89) -> 154
   , 0_1(89) -> 572
   , 0_1(89) -> 759
   , 0_1(90) -> 17
   , 0_1(91) -> 90
   , 0_1(93) -> 92
   , 0_1(94) -> 93
   , 0_1(96) -> 95
   , 0_1(99) -> 98
   , 0_1(100) -> 99
   , 0_1(101) -> 100
   , 0_1(104) -> 1
   , 0_1(106) -> 1
   , 0_1(107) -> 2
   , 0_1(108) -> 107
   , 0_1(109) -> 108
   , 0_1(110) -> 109
   , 0_1(111) -> 110
   , 0_1(112) -> 111
   , 0_1(113) -> 112
   , 0_1(114) -> 869
   , 0_1(116) -> 14
   , 0_1(117) -> 35
   , 0_1(118) -> 117
   , 0_1(120) -> 119
   , 0_1(121) -> 120
   , 0_1(123) -> 122
   , 0_1(126) -> 125
   , 0_1(127) -> 126
   , 0_1(128) -> 761
   , 0_1(129) -> 89
   , 0_1(130) -> 1
   , 0_1(133) -> 132
   , 0_1(137) -> 136
   , 0_1(138) -> 205
   , 0_1(142) -> 3
   , 0_1(143) -> 142
   , 0_1(144) -> 1
   , 0_1(145) -> 144
   , 0_1(146) -> 145
   , 0_1(148) -> 147
   , 0_1(149) -> 148
   , 0_1(150) -> 149
   , 0_1(152) -> 151
   , 0_1(154) -> 14
   , 0_1(156) -> 155
   , 0_1(157) -> 156
   , 0_1(158) -> 157
   , 0_1(160) -> 159
   , 0_1(161) -> 160
   , 0_1(164) -> 226
   , 0_1(165) -> 54
   , 0_1(166) -> 165
   , 0_1(168) -> 167
   , 0_1(169) -> 168
   , 0_1(174) -> 173
   , 0_1(176) -> 175
   , 0_1(179) -> 178
   , 0_1(180) -> 179
   , 0_1(181) -> 180
   , 0_1(182) -> 181
   , 0_1(184) -> 183
   , 0_1(185) -> 228
   , 0_1(186) -> 17
   , 0_1(187) -> 186
   , 0_1(191) -> 190
   , 0_1(192) -> 191
   , 0_1(196) -> 195
   , 0_1(198) -> 129
   , 0_1(201) -> 200
   , 0_1(204) -> 203
   , 0_1(206) -> 66
   , 0_1(209) -> 208
   , 0_1(225) -> 224
   , 0_1(226) -> 225
   , 0_1(227) -> 226
   , 0_1(323) -> 130
   , 0_1(324) -> 323
   , 0_1(328) -> 327
   , 0_1(344) -> 343
   , 0_1(346) -> 345
   , 0_1(437) -> 49
   , 0_1(438) -> 437
   , 0_1(439) -> 438
   , 0_1(440) -> 439
   , 0_1(444) -> 443
   , 0_1(446) -> 445
   , 0_1(447) -> 446
   , 0_1(450) -> 449
   , 0_1(451) -> 450
   , 0_1(453) -> 452
   , 0_1(454) -> 453
   , 0_1(456) -> 455
   , 0_1(457) -> 456
   , 0_1(458) -> 457
   , 0_1(561) -> 2
   , 0_1(563) -> 562
   , 0_1(564) -> 563
   , 0_1(565) -> 564
   , 0_1(567) -> 566
   , 0_1(569) -> 568
   , 0_1(571) -> 570
   , 0_1(572) -> 571
   , 0_1(632) -> 631
   , 0_1(633) -> 632
   , 0_1(636) -> 635
   , 0_1(638) -> 637
   , 0_1(639) -> 126
   , 0_1(675) -> 674
   , 0_1(676) -> 675
   , 0_1(687) -> 686
   , 0_1(691) -> 690
   , 0_1(692) -> 691
   , 0_1(743) -> 742
   , 0_1(745) -> 744
   , 0_1(748) -> 747
   , 0_1(750) -> 749
   , 0_1(752) -> 751
   , 0_1(755) -> 754
   , 0_1(756) -> 755
   , 0_1(758) -> 757
   , 0_1(761) -> 760
   , 0_1(852) -> 851
   , 0_1(853) -> 852
   , 0_1(861) -> 860
   , 0_1(869) -> 868
   , 0_1(905) -> 904
   , 0_1(906) -> 905
   , 0_1(921) -> 920
   , 0_1(923) -> 922
   , 0_1(975) -> 974
   , 0_1(997) -> 996
   , 0_1(999) -> 998
   , 0_1(1000) -> 999
   , 0_1(1001) -> 1000
   , 0_1(1002) -> 1001
   , 0_1(1067) -> 1066
   , 0_1(1068) -> 1067
   , 0_1(1069) -> 1068
   , 0_1(1070) -> 1069
   , 0_1(1072) -> 1071
   , 0_1(1074) -> 1073
   , 0_1(1294) -> 1293
   , 0_1(1297) -> 1296
   , 0_1(1298) -> 1297
   , 2_0(1) -> 1
   , 2_1(1) -> 48
   , 2_1(2) -> 48
   , 2_1(3) -> 48
   , 2_1(11) -> 10
   , 2_1(13) -> 448
   , 2_1(15) -> 115
   , 2_1(16) -> 141
   , 2_1(17) -> 63
   , 2_1(23) -> 22
   , 2_1(28) -> 27
   , 2_1(29) -> 28
   , 2_1(30) -> 29
   , 2_1(32) -> 86
   , 2_1(33) -> 639
   , 2_1(37) -> 36
   , 2_1(46) -> 45
   , 2_1(48) -> 18
   , 2_1(49) -> 1
   , 2_1(49) -> 32
   , 2_1(49) -> 48
   , 2_1(49) -> 127
   , 2_1(49) -> 154
   , 2_1(49) -> 639
   , 2_1(49) -> 750
   , 2_1(50) -> 49
   , 2_1(55) -> 54
   , 2_1(61) -> 60
   , 2_1(62) -> 127
   , 2_1(63) -> 692
   , 2_1(67) -> 66
   , 2_1(70) -> 69
   , 2_1(72) -> 71
   , 2_1(73) -> 72
   , 2_1(75) -> 74
   , 2_1(82) -> 81
   , 2_1(83) -> 82
   , 2_1(84) -> 636
   , 2_1(86) -> 85
   , 2_1(87) -> 86
   , 2_1(89) -> 48
   , 2_1(90) -> 89
   , 2_1(95) -> 94
   , 2_1(102) -> 101
   , 2_1(103) -> 18
   , 2_1(105) -> 18
   , 2_1(107) -> 18
   , 2_1(115) -> 114
   , 2_1(116) -> 115
   , 2_1(122) -> 121
   , 2_1(128) -> 127
   , 2_1(131) -> 130
   , 2_1(132) -> 131
   , 2_1(134) -> 133
   , 2_1(135) -> 134
   , 2_1(138) -> 137
   , 2_1(139) -> 138
   , 2_1(147) -> 146
   , 2_1(153) -> 152
   , 2_1(155) -> 48
   , 2_1(162) -> 161
   , 2_1(164) -> 163
   , 2_1(167) -> 166
   , 2_1(173) -> 48
   , 2_1(175) -> 174
   , 2_1(178) -> 177
   , 2_1(183) -> 182
   , 2_1(186) -> 2
   , 2_1(199) -> 198
   , 2_1(200) -> 199
   , 2_1(203) -> 202
   , 2_1(208) -> 207
   , 2_1(226) -> 344
   , 2_1(326) -> 325
   , 2_1(327) -> 326
   , 2_1(343) -> 342
   , 2_1(345) -> 344
   , 2_1(442) -> 441
   , 2_1(448) -> 28
   , 2_1(449) -> 64
   , 2_1(452) -> 451
   , 2_1(562) -> 18
   , 2_1(566) -> 565
   , 2_1(568) -> 567
   , 2_1(629) -> 323
   , 2_1(634) -> 633
   , 2_1(635) -> 634
   , 2_1(637) -> 636
   , 2_1(639) -> 638
   , 2_1(674) -> 103
   , 2_1(685) -> 684
   , 2_1(686) -> 685
   , 2_1(689) -> 688
   , 2_1(690) -> 689
   , 2_1(740) -> 35
   , 2_1(742) -> 741
   , 2_1(744) -> 743
   , 2_1(749) -> 748
   , 2_1(751) -> 48
   , 2_1(753) -> 752
   , 2_1(759) -> 758
   , 2_1(867) -> 866
   , 2_1(920) -> 919
   , 2_1(974) -> 91
   , 2_1(998) -> 997
   , 2_1(1060) -> 449
   , 2_1(1293) -> 324
   , 2_1(1295) -> 1294
   , 2_1(1296) -> 1295
   , 3_0(1) -> 1
   , 3_1(1) -> 33
   , 3_1(2) -> 62
   , 3_1(3) -> 128
   , 3_1(8) -> 7
   , 3_1(13) -> 923
   , 3_1(14) -> 172
   , 3_1(17) -> 128
   , 3_1(18) -> 128
   , 3_1(26) -> 25
   , 3_1(33) -> 88
   , 3_1(36) -> 35
   , 3_1(39) -> 38
   , 3_1(40) -> 39
   , 3_1(43) -> 42
   , 3_1(48) -> 62
   , 3_1(49) -> 33
   , 3_1(50) -> 33
   , 3_1(59) -> 58
   , 3_1(63) -> 62
   , 3_1(64) -> 18
   , 3_1(76) -> 196
   , 3_1(77) -> 33
   , 3_1(88) -> 484
   , 3_1(89) -> 1
   , 3_1(89) -> 32
   , 3_1(89) -> 48
   , 3_1(89) -> 63
   , 3_1(89) -> 87
   , 3_1(89) -> 154
   , 3_1(89) -> 185
   , 3_1(97) -> 96
   , 3_1(104) -> 103
   , 3_1(105) -> 33
   , 3_1(106) -> 105
   , 3_1(107) -> 3
   , 3_1(124) -> 123
   , 3_1(125) -> 158
   , 3_1(128) -> 171
   , 3_1(130) -> 129
   , 3_1(140) -> 139
   , 3_1(142) -> 91
   , 3_1(144) -> 143
   , 3_1(154) -> 153
   , 3_1(155) -> 2
   , 3_1(159) -> 158
   , 3_1(163) -> 162
   , 3_1(171) -> 170
   , 3_1(172) -> 171
   , 3_1(173) -> 33
   , 3_1(177) -> 176
   , 3_1(188) -> 187
   , 3_1(190) -> 189
   , 3_1(193) -> 192
   , 3_1(194) -> 193
   , 3_1(197) -> 196
   , 3_1(202) -> 201
   , 3_1(205) -> 204
   , 3_1(224) -> 209
   , 3_1(342) -> 328
   , 3_1(443) -> 442
   , 3_1(448) -> 447
   , 3_1(455) -> 454
   , 3_1(481) -> 458
   , 3_1(484) -> 481
   , 3_1(561) -> 130
   , 3_1(571) -> 1074
   , 3_1(684) -> 676
   , 3_1(741) -> 740
   , 3_1(747) -> 746
   , 3_1(754) -> 753
   , 3_1(851) -> 20
   , 3_1(860) -> 853
   , 3_1(866) -> 861
   , 3_1(868) -> 867
   , 3_1(903) -> 155
   , 3_1(919) -> 906
   , 3_1(922) -> 921
   , 3_1(996) -> 976
   , 3_1(1066) -> 1060}

Hurray, we answered YES(?,O(n^1))

Tool CDI

Execution Time	60.05421ms
Answer	TIMEOUT
Input	ICFP 2010 88156

stdout:

TIMEOUT

Statistics:
Number of monomials: 0
Last formula building started for bound 0
Last SAT solving started for bound 0

Tool EDA

Execution Time	60.1528ms
Answer	TIMEOUT
Input	ICFP 2010 88156

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  3(2(2(2(0(1(3(0(2(2(3(3(0(x1))))))))))))) ->
       1(1(0(1(0(0(3(0(1(2(1(1(0(0(1(0(0(x1)))))))))))))))))
     , 3(0(0(1(3(1(2(0(2(0(3(3(3(x1))))))))))))) ->
       0(0(1(0(1(2(0(0(3(0(2(2(2(0(0(1(3(x1)))))))))))))))))
     , 2(3(0(2(2(0(2(0(3(2(3(2(3(x1))))))))))))) ->
       1(0(0(3(2(0(3(3(0(0(3(0(0(2(0(0(2(x1)))))))))))))))))
     , 2(3(0(0(0(2(3(3(2(0(3(0(3(x1))))))))))))) ->
       2(2(0(0(0(1(2(0(0(0(3(0(2(0(3(2(0(x1)))))))))))))))))
     , 2(2(0(1(0(1(0(3(3(2(1(2(3(x1))))))))))))) ->
       0(3(0(1(2(0(1(2(0(2(2(1(2(1(0(0(0(x1)))))))))))))))))
     , 2(1(1(0(3(2(1(2(0(0(3(1(3(x1))))))))))))) ->
       2(2(0(1(0(0(0(0(2(2(0(0(2(2(1(3(3(x1)))))))))))))))))
     , 2(0(3(3(1(2(2(0(0(2(1(0(1(x1))))))))))))) ->
       3(2(0(1(0(0(2(0(3(1(0(0(0(2(1(0(2(x1)))))))))))))))))
     , 2(0(2(2(1(2(2(3(2(0(1(1(2(x1))))))))))))) ->
       0(2(3(1(3(1(0(0(0(0(0(0(1(2(2(1(0(x1)))))))))))))))))
     , 2(0(2(1(2(2(3(2(2(2(2(1(0(x1))))))))))))) ->
       1(0(0(0(0(1(0(0(2(0(3(1(0(0(2(3(0(x1)))))))))))))))))
     , 1(3(3(2(2(2(3(2(2(0(2(3(0(x1))))))))))))) ->
       3(0(3(2(2(0(2(2(1(0(2(2(3(1(2(0(0(x1)))))))))))))))))
     , 1(3(3(0(2(3(0(3(2(0(0(1(1(x1))))))))))))) ->
       3(2(0(3(0(3(0(0(2(0(0(0(1(0(2(3(1(x1)))))))))))))))))
     , 1(3(2(1(0(1(0(3(0(1(3(0(0(x1))))))))))))) ->
       0(3(1(0(0(0(3(0(0(2(3(2(1(0(1(0(0(x1)))))))))))))))))
     , 1(3(1(3(1(0(2(0(1(3(0(0(1(x1))))))))))))) ->
       2(2(0(0(0(1(0(0(2(0(0(1(3(3(3(0(1(x1)))))))))))))))))
     , 1(3(1(1(3(0(0(1(0(0(2(3(0(x1))))))))))))) ->
       2(1(0(2(0(3(2(0(0(0(0(2(0(1(1(3(0(x1)))))))))))))))))
     , 1(3(1(0(1(3(1(2(0(1(3(1(0(x1))))))))))))) ->
       1(2(0(3(1(3(0(0(3(3(1(0(3(0(0(0(0(x1)))))))))))))))))
     , 1(3(0(0(3(2(2(2(2(1(0(2(3(x1))))))))))))) ->
       3(0(0(2(2(0(3(2(0(3(0(2(3(1(2(0(0(x1)))))))))))))))))
     , 1(2(3(1(0(2(1(0(0(1(1(1(0(x1))))))))))))) ->
       0(3(0(1(0(1(2(0(3(0(0(0(1(0(1(3(0(x1)))))))))))))))))
     , 1(2(2(1(2(2(0(0(1(2(2(0(1(x1))))))))))))) ->
       0(0(3(0(0(1(2(2(0(3(2(0(2(0(1(0(3(x1)))))))))))))))))
     , 1(1(2(0(2(2(0(0(1(3(2(3(2(x1))))))))))))) ->
       2(0(0(0(0(1(2(3(0(1(0(0(3(2(0(0(1(x1)))))))))))))))))
     , 1(0(3(0(2(1(1(0(1(1(1(2(2(x1))))))))))))) ->
       0(3(2(0(0(2(0(0(3(0(0(0(3(3(3(3(3(x1)))))))))))))))))
     , 1(0(0(3(2(0(1(0(1(2(2(1(1(x1))))))))))))) ->
       0(0(3(3(1(0(0(0(2(0(2(0(1(0(0(1(2(x1)))))))))))))))))
     , 0(2(3(2(2(3(1(0(2(0(3(1(3(x1))))))))))))) ->
       0(0(3(0(2(1(1(0(0(2(2(0(2(0(2(2(3(x1)))))))))))))))))
     , 0(2(3(1(1(0(2(0(0(2(1(3(2(x1))))))))))))) ->
       0(2(2(0(0(3(2(2(0(1(2(2(0(0(2(2(0(x1)))))))))))))))))
     , 0(2(3(0(2(2(3(2(2(1(1(2(3(x1))))))))))))) ->
       1(0(0(2(3(2(0(2(0(1(3(0(2(0(1(1(2(x1)))))))))))))))))
     , 0(2(2(3(2(2(1(2(0(3(2(0(3(x1))))))))))))) ->
       0(3(2(1(0(2(3(0(0(1(0(2(1(0(0(3(0(x1)))))))))))))))))
     , 0(2(0(2(0(2(3(2(3(1(1(3(1(x1))))))))))))) ->
       0(0(1(3(0(0(3(0(3(2(3(0(0(2(2(1(0(x1)))))))))))))))))
     , 0(1(3(2(1(0(3(0(0(1(1(1(1(x1))))))))))))) ->
       0(3(1(3(1(0(0(3(2(0(3(0(3(0(0(1(0(x1)))))))))))))))))
     , 0(1(1(0(0(1(3(1(2(0(3(1(2(x1))))))))))))) ->
       0(2(0(2(0(1(3(0(2(0(0(0(0(1(2(2(0(x1)))))))))))))))))
     , 0(1(0(3(1(0(2(2(1(1(0(2(1(x1))))))))))))) ->
       0(0(2(2(3(0(0(0(0(1(0(1(0(3(0(1(2(x1)))))))))))))))))
     , 0(0(1(1(2(0(3(0(1(2(0(1(1(x1))))))))))))) ->
       0(0(3(0(0(2(0(2(2(0(0(1(0(0(0(1(0(x1)))))))))))))))))}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool IDA

Execution Time	60.14663ms
Answer	TIMEOUT
Input	ICFP 2010 88156

stdout:

Tool TRI

Execution Time	60.14419ms
Answer	TIMEOUT
Input	ICFP 2010 88156