Problem ICFP 2010 96224

Tool Bounds

Execution Time	0.18983102ms
Answer	YES(?,O(n^1))
Input	ICFP 2010 96224

stdout:

YES(?,O(n^1))

We consider the following Problem:

  Strict Trs:
    {  4(2(4(1(0(5(0(4(1(0(3(0(2(5(4(3(5(3(5(3(x1))))))))))))))))))))
       -> 4(2(5(4(4(2(4(5(0(0(3(1(5(0(2(0(2(2(1(x1)))))))))))))))))))
     , 3(3(2(2(3(3(4(0(0(0(2(5(0(5(3(0(0(1(1(4(x1)))))))))))))))))))) ->
       3(1(1(0(3(3(5(4(2(2(1(0(1(1(0(5(0(3(4(0(x1))))))))))))))))))))
     , 2(3(3(2(1(5(0(5(0(1(3(3(2(5(1(5(0(3(0(5(x1)))))))))))))))))))) ->
       3(4(0(2(5(5(2(4(2(4(3(1(1(4(4(5(5(3(5(x1)))))))))))))))))))
     , 2(0(3(3(3(4(1(1(0(4(4(0(3(3(3(0(0(1(5(3(x1)))))))))))))))))))) ->
       5(3(3(1(4(0(4(5(4(4(4(2(4(3(1(1(1(5(4(x1)))))))))))))))))))
     , 1(1(4(1(0(1(0(3(3(4(4(1(5(4(0(4(4(5(5(3(x1)))))))))))))))))))) ->
       1(3(0(3(2(2(4(4(2(0(3(3(4(0(3(0(4(3(4(0(x1))))))))))))))))))))
     , 0(1(4(4(3(2(0(4(1(4(3(4(4(1(5(3(4(4(x1)))))))))))))))))) ->
       0(2(4(2(3(1(0(1(1(1(3(0(2(4(4(1(1(2(x1))))))))))))))))))
     , 5(1(1(4(1(5(3(0(4(3(2(5(4(1(3(3(5(x1))))))))))))))))) ->
       5(0(1(0(4(0(2(4(5(1(5(4(1(5(3(3(5(x1)))))))))))))))))
     , 3(0(0(4(2(5(5(1(3(0(2(3(3(5(1(4(5(x1))))))))))))))))) ->
       3(4(0(1(0(5(5(3(1(4(0(3(5(3(2(2(5(x1)))))))))))))))))
     , 2(2(0(0(2(1(0(5(3(2(2(1(4(0(5(x1))))))))))))))) ->
       0(0(3(5(3(0(4(3(1(3(0(2(5(5(x1))))))))))))))
     , 4(4(3(0(3(1(5(3(5(1(3(1(5(3(x1)))))))))))))) ->
       0(2(4(5(0(0(0(5(1(0(5(4(4(x1)))))))))))))
     , 2(4(5(0(1(1(3(3(5(3(0(0(x1)))))))))))) ->
       4(4(2(2(1(0(4(0(1(3(2(0(x1))))))))))))
     , 5(4(0(4(3(3(1(2(5(3(0(x1))))))))))) ->
       5(5(2(5(3(1(5(0(3(5(2(x1)))))))))))
     , 2(1(1(3(4(3(1(1(5(x1))))))))) -> 1(0(2(3(1(0(5(1(5(x1)))))))))
     , 0(2(2(2(0(5(2(5(4(x1))))))))) -> 0(0(0(3(4(3(0(1(0(x1)))))))))
     , 0(1(2(2(3(0(4(4(x1)))))))) -> 0(4(5(0(3(4(0(4(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:
  {  4_0(1) -> 1
   , 4_1(1) -> 73
   , 4_1(2) -> 1
   , 4_1(2) -> 73
   , 4_1(2) -> 106
   , 4_1(5) -> 4
   , 4_1(6) -> 5
   , 4_1(8) -> 7
   , 4_1(20) -> 73
   , 4_1(27) -> 26
   , 4_1(34) -> 90
   , 4_1(36) -> 89
   , 4_1(38) -> 37
   , 4_1(39) -> 20
   , 4_1(45) -> 44
   , 4_1(47) -> 46
   , 4_1(51) -> 50
   , 4_1(52) -> 51
   , 4_1(57) -> 73
   , 4_1(60) -> 59
   , 4_1(62) -> 61
   , 4_1(64) -> 63
   , 4_1(65) -> 64
   , 4_1(66) -> 65
   , 4_1(68) -> 67
   , 4_1(73) -> 150
   , 4_1(80) -> 79
   , 4_1(81) -> 80
   , 4_1(86) -> 85
   , 4_1(92) -> 91
   , 4_1(103) -> 102
   , 4_1(104) -> 103
   , 4_1(110) -> 109
   , 4_1(113) -> 112
   , 4_1(117) -> 116
   , 4_1(126) -> 125
   , 4_1(137) -> 136
   , 4_1(151) -> 2
   , 4_1(156) -> 155
   , 4_1(176) -> 175
   , 4_1(179) -> 90
   , 4_1(183) -> 182
   , 0_0(1) -> 1
   , 0_1(1) -> 38
   , 0_1(2) -> 38
   , 0_1(10) -> 9
   , 0_1(11) -> 10
   , 0_1(15) -> 14
   , 0_1(17) -> 16
   , 0_1(20) -> 38
   , 0_1(23) -> 22
   , 0_1(31) -> 30
   , 0_1(34) -> 33
   , 0_1(36) -> 35
   , 0_1(40) -> 39
   , 0_1(57) -> 38
   , 0_1(61) -> 60
   , 0_1(73) -> 183
   , 0_1(76) -> 75
   , 0_1(83) -> 82
   , 0_1(87) -> 86
   , 0_1(89) -> 88
   , 0_1(90) -> 1
   , 0_1(90) -> 38
   , 0_1(90) -> 73
   , 0_1(90) -> 106
   , 0_1(90) -> 150
   , 0_1(96) -> 95
   , 0_1(101) -> 100
   , 0_1(107) -> 56
   , 0_1(109) -> 108
   , 0_1(111) -> 110
   , 0_1(121) -> 120
   , 0_1(127) -> 126
   , 0_1(132) -> 90
   , 0_1(136) -> 135
   , 0_1(141) -> 140
   , 0_1(144) -> 143
   , 0_1(145) -> 144
   , 0_1(146) -> 145
   , 0_1(149) -> 148
   , 0_1(155) -> 154
   , 0_1(157) -> 156
   , 0_1(166) -> 165
   , 0_1(168) -> 74
   , 0_1(172) -> 171
   , 0_1(174) -> 132
   , 0_1(178) -> 177
   , 0_1(181) -> 180
   , 3_0(1) -> 1
   , 3_1(12) -> 11
   , 3_1(20) -> 1
   , 3_1(20) -> 106
   , 3_1(24) -> 23
   , 3_1(25) -> 24
   , 3_1(37) -> 36
   , 3_1(48) -> 47
   , 3_1(54) -> 119
   , 3_1(55) -> 54
   , 3_1(57) -> 56
   , 3_1(58) -> 57
   , 3_1(69) -> 68
   , 3_1(75) -> 74
   , 3_1(77) -> 76
   , 3_1(84) -> 83
   , 3_1(85) -> 84
   , 3_1(88) -> 87
   , 3_1(94) -> 93
   , 3_1(100) -> 99
   , 3_1(124) -> 123
   , 3_1(128) -> 127
   , 3_1(130) -> 129
   , 3_1(133) -> 132
   , 3_1(135) -> 134
   , 3_1(138) -> 137
   , 3_1(140) -> 139
   , 3_1(159) -> 158
   , 3_1(163) -> 162
   , 3_1(167) -> 166
   , 3_1(170) -> 169
   , 3_1(175) -> 174
   , 3_1(177) -> 176
   , 3_1(182) -> 181
   , 2_0(1) -> 1
   , 2_1(1) -> 106
   , 2_1(2) -> 106
   , 2_1(3) -> 2
   , 2_1(7) -> 6
   , 2_1(16) -> 15
   , 2_1(18) -> 17
   , 2_1(19) -> 18
   , 2_1(28) -> 27
   , 2_1(29) -> 28
   , 2_1(38) -> 159
   , 2_1(41) -> 40
   , 2_1(44) -> 43
   , 2_1(46) -> 45
   , 2_1(55) -> 131
   , 2_1(67) -> 66
   , 2_1(78) -> 77
   , 2_1(79) -> 78
   , 2_1(82) -> 81
   , 2_1(90) -> 159
   , 2_1(91) -> 90
   , 2_1(93) -> 92
   , 2_1(102) -> 101
   , 2_1(112) -> 111
   , 2_1(131) -> 130
   , 2_1(142) -> 141
   , 2_1(151) -> 106
   , 2_1(152) -> 151
   , 2_1(153) -> 152
   , 2_1(161) -> 160
   , 2_1(169) -> 168
   , 1_0(1) -> 1
   , 1_1(1) -> 19
   , 1_1(13) -> 12
   , 1_1(20) -> 19
   , 1_1(21) -> 20
   , 1_1(22) -> 21
   , 1_1(30) -> 29
   , 1_1(32) -> 31
   , 1_1(33) -> 32
   , 1_1(38) -> 178
   , 1_1(49) -> 48
   , 1_1(50) -> 49
   , 1_1(55) -> 173
   , 1_1(57) -> 19
   , 1_1(59) -> 58
   , 1_1(70) -> 69
   , 1_1(71) -> 70
   , 1_1(72) -> 71
   , 1_1(74) -> 1
   , 1_1(74) -> 18
   , 1_1(74) -> 19
   , 1_1(74) -> 106
   , 1_1(95) -> 94
   , 1_1(97) -> 96
   , 1_1(98) -> 97
   , 1_1(99) -> 98
   , 1_1(105) -> 104
   , 1_1(106) -> 105
   , 1_1(108) -> 107
   , 1_1(115) -> 114
   , 1_1(118) -> 117
   , 1_1(120) -> 40
   , 1_1(125) -> 124
   , 1_1(139) -> 138
   , 1_1(148) -> 147
   , 1_1(154) -> 153
   , 1_1(158) -> 157
   , 1_1(164) -> 163
   , 1_1(171) -> 170
   , 5_0(1) -> 1
   , 5_1(1) -> 55
   , 5_1(4) -> 3
   , 5_1(9) -> 8
   , 5_1(14) -> 13
   , 5_1(26) -> 25
   , 5_1(35) -> 34
   , 5_1(42) -> 41
   , 5_1(43) -> 42
   , 5_1(53) -> 52
   , 5_1(54) -> 53
   , 5_1(55) -> 142
   , 5_1(56) -> 1
   , 5_1(56) -> 55
   , 5_1(56) -> 72
   , 5_1(56) -> 106
   , 5_1(56) -> 159
   , 5_1(63) -> 62
   , 5_1(73) -> 72
   , 5_1(106) -> 167
   , 5_1(114) -> 113
   , 5_1(116) -> 115
   , 5_1(119) -> 118
   , 5_1(122) -> 121
   , 5_1(123) -> 122
   , 5_1(129) -> 128
   , 5_1(134) -> 133
   , 5_1(143) -> 92
   , 5_1(147) -> 146
   , 5_1(150) -> 149
   , 5_1(159) -> 167
   , 5_1(160) -> 56
   , 5_1(162) -> 161
   , 5_1(165) -> 164
   , 5_1(173) -> 172
   , 5_1(180) -> 179}

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

Tool EDA

Execution Time	60.103207ms
Answer	TIMEOUT
Input	ICFP 2010 96224

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  4(2(4(1(0(5(0(4(1(0(3(0(2(5(4(3(5(3(5(3(x1))))))))))))))))))))
       -> 4(2(5(4(4(2(4(5(0(0(3(1(5(0(2(0(2(2(1(x1)))))))))))))))))))
     , 3(3(2(2(3(3(4(0(0(0(2(5(0(5(3(0(0(1(1(4(x1)))))))))))))))))))) ->
       3(1(1(0(3(3(5(4(2(2(1(0(1(1(0(5(0(3(4(0(x1))))))))))))))))))))
     , 2(3(3(2(1(5(0(5(0(1(3(3(2(5(1(5(0(3(0(5(x1)))))))))))))))))))) ->
       3(4(0(2(5(5(2(4(2(4(3(1(1(4(4(5(5(3(5(x1)))))))))))))))))))
     , 2(0(3(3(3(4(1(1(0(4(4(0(3(3(3(0(0(1(5(3(x1)))))))))))))))))))) ->
       5(3(3(1(4(0(4(5(4(4(4(2(4(3(1(1(1(5(4(x1)))))))))))))))))))
     , 1(1(4(1(0(1(0(3(3(4(4(1(5(4(0(4(4(5(5(3(x1)))))))))))))))))))) ->
       1(3(0(3(2(2(4(4(2(0(3(3(4(0(3(0(4(3(4(0(x1))))))))))))))))))))
     , 0(1(4(4(3(2(0(4(1(4(3(4(4(1(5(3(4(4(x1)))))))))))))))))) ->
       0(2(4(2(3(1(0(1(1(1(3(0(2(4(4(1(1(2(x1))))))))))))))))))
     , 5(1(1(4(1(5(3(0(4(3(2(5(4(1(3(3(5(x1))))))))))))))))) ->
       5(0(1(0(4(0(2(4(5(1(5(4(1(5(3(3(5(x1)))))))))))))))))
     , 3(0(0(4(2(5(5(1(3(0(2(3(3(5(1(4(5(x1))))))))))))))))) ->
       3(4(0(1(0(5(5(3(1(4(0(3(5(3(2(2(5(x1)))))))))))))))))
     , 2(2(0(0(2(1(0(5(3(2(2(1(4(0(5(x1))))))))))))))) ->
       0(0(3(5(3(0(4(3(1(3(0(2(5(5(x1))))))))))))))
     , 4(4(3(0(3(1(5(3(5(1(3(1(5(3(x1)))))))))))))) ->
       0(2(4(5(0(0(0(5(1(0(5(4(4(x1)))))))))))))
     , 2(4(5(0(1(1(3(3(5(3(0(0(x1)))))))))))) ->
       4(4(2(2(1(0(4(0(1(3(2(0(x1))))))))))))
     , 5(4(0(4(3(3(1(2(5(3(0(x1))))))))))) ->
       5(5(2(5(3(1(5(0(3(5(2(x1)))))))))))
     , 2(1(1(3(4(3(1(1(5(x1))))))))) -> 1(0(2(3(1(0(5(1(5(x1)))))))))
     , 0(2(2(2(0(5(2(5(4(x1))))))))) -> 0(0(0(3(4(3(0(1(0(x1)))))))))
     , 0(1(2(2(3(0(4(4(x1)))))))) -> 0(4(5(0(3(4(0(4(x1))))))))}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool IDA

Execution Time	60.107483ms
Answer	TIMEOUT
Input	ICFP 2010 96224

stdout:

Tool TRI

Execution Time	60.082756ms
Answer	TIMEOUT
Input	ICFP 2010 96224

stdout:

Tool TRI2

Execution Time	60.07457ms
Answer	TIMEOUT
Input	ICFP 2010 96224