Problem ICFP 2010 137623

Tool Bounds

Execution Time	6.801065ms
Answer	YES(?,O(n^1))
Input	ICFP 2010 137623

stdout:

YES(?,O(n^1))

We consider the following Problem:

  Strict Trs:
    {  5(5(5(5(5(3(2(5(2(0(5(5(x1)))))))))))) ->
       5(3(5(3(3(1(5(5(4(1(3(4(0(1(x1))))))))))))))
     , 5(5(4(5(5(2(5(3(1(2(1(1(x1)))))))))))) ->
       0(3(0(2(2(4(4(3(1(4(4(2(5(0(0(0(x1))))))))))))))))
     , 5(5(3(4(0(2(5(5(3(2(4(1(x1)))))))))))) ->
       2(4(3(0(4(0(1(3(2(4(1(1(0(1(1(1(0(1(x1))))))))))))))))))
     , 5(5(3(3(5(3(3(0(4(5(3(0(x1)))))))))))) ->
       4(4(0(2(4(0(3(4(1(4(1(3(3(4(4(4(4(3(x1))))))))))))))))))
     , 5(5(3(1(0(3(3(0(2(3(5(3(x1)))))))))))) ->
       2(4(5(2(2(2(0(0(4(4(3(0(4(0(0(2(4(4(x1))))))))))))))))))
     , 5(5(2(5(3(3(1(0(1(4(5(5(x1)))))))))))) ->
       2(4(3(0(5(2(3(0(5(4(4(0(3(2(3(2(5(x1)))))))))))))))))
     , 5(5(1(5(2(5(1(5(1(1(1(4(x1)))))))))))) ->
       1(4(1(3(4(4(5(4(0(5(4(5(0(4(3(5(2(x1)))))))))))))))))
     , 5(5(1(5(1(5(3(4(2(5(4(5(x1)))))))))))) ->
       0(5(4(0(4(0(4(1(2(2(1(1(3(4(4(0(3(3(x1))))))))))))))))))
     , 5(5(1(3(3(2(0(5(5(1(0(0(x1)))))))))))) ->
       5(0(4(0(3(4(5(1(2(4(4(4(3(0(0(0(1(x1)))))))))))))))))
     , 5(5(1(2(5(2(5(3(3(3(4(5(x1)))))))))))) ->
       3(5(1(3(1(5(2(4(0(2(3(3(4(4(2(x1)))))))))))))))
     , 5(5(0(0(3(4(3(2(3(4(5(5(x1)))))))))))) ->
       0(2(1(0(1(2(4(0(0(5(3(2(2(2(0(x1)))))))))))))))
     , 5(4(3(3(3(2(5(2(4(1(4(2(x1)))))))))))) ->
       3(0(4(4(4(0(4(4(1(4(4(1(1(2(2(4(5(4(x1))))))))))))))))))
     , 5(4(3(3(0(3(2(5(4(0(5(5(x1)))))))))))) ->
       1(1(4(1(3(2(2(0(1(2(2(0(0(1(1(4(3(x1)))))))))))))))))
     , 5(3(5(4(4(5(1(3(4(5(5(5(x1)))))))))))) ->
       5(3(4(4(0(4(4(0(1(5(0(5(2(2(3(4(0(4(x1))))))))))))))))))
     , 5(3(5(2(5(5(2(4(2(1(2(2(x1)))))))))))) ->
       0(1(3(4(4(4(0(1(5(0(1(1(2(1(x1))))))))))))))
     , 5(3(3(3(1(5(2(0(1(5(4(0(x1)))))))))))) ->
       3(5(0(3(5(0(0(4(2(3(4(0(1(2(2(3(0(0(x1))))))))))))))))))
     , 5(3(3(2(1(1(3(3(2(5(5(1(x1)))))))))))) ->
       3(1(4(0(1(4(2(0(3(0(0(3(1(2(4(x1)))))))))))))))
     , 5(3(2(0(2(0(4(2(5(1(5(2(x1)))))))))))) ->
       4(3(0(4(5(0(3(4(0(3(5(1(1(1(4(x1)))))))))))))))
     , 5(2(5(4(4(2(3(5(0(5(2(5(x1)))))))))))) ->
       4(1(4(2(3(4(3(4(4(4(2(1(4(0(0(0(1(x1)))))))))))))))))
     , 5(2(4(3(0(2(5(2(1(1(5(0(x1)))))))))))) ->
       0(1(1(0(0(0(0(0(4(0(0(5(4(5(x1))))))))))))))
     , 5(2(3(5(3(0(3(3(1(4(0(2(x1)))))))))))) ->
       4(5(4(0(0(2(1(1(0(3(4(4(4(3(x1))))))))))))))
     , 5(2(1(5(5(0(3(5(5(5(3(0(x1)))))))))))) ->
       2(3(4(1(1(0(2(3(0(4(1(0(2(0(0(0(3(3(x1))))))))))))))))))
     , 5(2(1(4(3(5(3(1(5(3(5(1(x1)))))))))))) ->
       0(1(1(1(1(2(0(5(0(0(0(2(3(0(0(1(x1))))))))))))))))
     , 5(1(5(1(3(2(4(5(3(5(4(0(x1)))))))))))) ->
       0(1(4(0(0(4(0(5(2(1(4(4(4(3(3(3(x1))))))))))))))))
     , 5(1(2(3(3(1(1(2(3(1(5(1(x1)))))))))))) ->
       5(2(0(3(3(5(2(4(4(1(4(4(3(4(1(x1)))))))))))))))
     , 5(1(2(2(5(2(4(1(3(2(3(1(x1)))))))))))) ->
       2(1(4(4(2(4(4(0(0(4(4(4(3(1(4(0(3(1(x1))))))))))))))))))
     , 5(1(1(4(3(1(2(5(5(4(2(2(x1)))))))))))) ->
       0(1(0(0(2(4(0(2(5(0(0(5(0(0(x1))))))))))))))
     , 5(1(1(0(3(1(5(3(1(1(0(5(x1)))))))))))) ->
       4(1(0(5(4(0(4(5(2(1(5(1(4(0(3(x1)))))))))))))))
     , 5(1(0(3(1(5(5(3(0(3(5(1(x1)))))))))))) ->
       5(4(1(1(0(4(0(3(3(1(3(0(4(0(1(4(4(4(x1))))))))))))))))))
     , 5(0(5(5(3(1(5(5(3(3(5(0(x1)))))))))))) ->
       0(4(4(5(4(0(3(5(3(4(3(5(0(4(1(3(1(2(x1))))))))))))))))))
     , 4(5(5(3(2(1(0(1(1(0(5(5(x1)))))))))))) ->
       0(5(0(4(0(3(0(1(2(2(3(2(3(4(x1))))))))))))))
     , 4(5(5(2(3(2(5(0(2(0(3(1(x1)))))))))))) ->
       1(0(0(3(4(1(5(1(0(4(4(0(3(4(0(0(x1))))))))))))))))
     , 4(5(0(5(0(1(1(2(1(2(4(0(x1)))))))))))) ->
       4(2(0(0(0(5(4(2(3(0(4(4(0(1(x1))))))))))))))
     , 4(3(5(2(5(3(5(1(3(0(5(2(x1)))))))))))) ->
       2(5(0(4(4(1(4(4(0(4(0(0(4(2(4(1(3(x1)))))))))))))))))
     , 4(3(0(0(1(5(5(3(0(3(3(2(x1)))))))))))) ->
       3(1(3(5(0(0(0(3(1(4(5(0(4(0(x1))))))))))))))
     , 4(2(5(5(3(4(5(4(2(5(2(0(x1)))))))))))) ->
       0(2(2(2(5(1(4(0(4(0(2(1(5(0(x1))))))))))))))
     , 4(2(5(3(3(3(3(2(1(5(4(5(x1)))))))))))) ->
       3(0(3(4(3(0(1(1(4(3(4(2(0(4(1(3(1(2(x1))))))))))))))))))
     , 4(1(2(4(5(4(1(5(5(5(2(1(x1)))))))))))) ->
       4(4(3(0(4(1(1(2(1(1(0(4(1(3(0(4(0(0(x1))))))))))))))))))
     , 4(1(1(5(5(5(3(5(5(2(3(5(x1)))))))))))) ->
       4(0(1(5(1(0(2(4(1(2(0(4(2(2(3(4(0(0(x1))))))))))))))))))
     , 3(5(3(2(3(3(5(3(2(5(3(4(x1)))))))))))) ->
       4(1(1(3(0(4(2(1(2(1(0(4(4(1(1(1(2(x1)))))))))))))))))
     , 3(5(3(2(1(3(2(1(5(5(3(5(x1)))))))))))) ->
       3(3(2(1(4(2(1(2(1(5(0(1(0(4(x1))))))))))))))
     , 3(5(1(5(3(3(1(3(3(2(4(5(x1)))))))))))) ->
       2(3(4(5(1(0(0(2(4(2(3(1(3(1(4(4(x1))))))))))))))))
     , 3(5(1(5(0(1(4(4(3(5(5(1(x1)))))))))))) ->
       4(4(2(5(0(4(0(2(2(4(0(0(4(2(0(1(2(4(x1))))))))))))))))))
     , 3(4(5(3(5(3(1(5(3(1(1(1(x1)))))))))))) ->
       1(2(3(0(4(4(4(4(4(1(4(4(4(0(5(x1)))))))))))))))
     , 3(4(3(3(4(5(2(5(4(2(4(5(x1)))))))))))) ->
       4(0(0(3(5(1(0(0(4(2(4(4(3(5(0(2(2(x1)))))))))))))))))
     , 3(4(1(5(3(1(2(3(1(0(1(3(x1)))))))))))) ->
       1(3(4(3(3(5(4(0(4(0(4(4(5(0(1(x1)))))))))))))))
     , 3(4(0(5(3(4(0(0(4(5(2(4(x1)))))))))))) ->
       0(0(0(5(4(5(4(4(0(4(2(4(4(0(0(x1)))))))))))))))
     , 3(3(3(1(0(2(4(3(3(4(4(5(x1)))))))))))) ->
       0(2(0(4(4(4(0(5(5(0(1(3(3(5(x1))))))))))))))
     , 3(3(1(1(4(5(3(4(3(5(1(5(x1)))))))))))) ->
       2(4(1(2(5(0(1(3(0(5(0(4(2(0(x1))))))))))))))
     , 3(2(5(5(5(4(4(3(2(3(1(0(x1)))))))))))) ->
       0(0(2(2(4(5(4(0(4(5(5(4(0(5(x1))))))))))))))
     , 3(2(5(4(3(5(2(5(1(5(2(2(x1)))))))))))) ->
       4(2(3(3(0(5(3(5(1(0(0(2(1(5(0(4(x1))))))))))))))))
     , 3(2(5(3(2(5(4(0(3(1(2(2(x1)))))))))))) ->
       0(2(3(0(4(5(0(5(4(4(4(4(1(4(2(3(0(1(x1))))))))))))))))))
     , 3(2(3(1(5(2(0(3(3(4(0(5(x1)))))))))))) ->
       3(0(0(0(4(0(3(0(2(3(3(2(1(4(1(x1)))))))))))))))
     , 3(2(1(1(5(4(1(5(0(2(3(5(x1)))))))))))) ->
       2(5(4(2(3(0(0(4(5(4(4(2(4(0(0(0(2(x1)))))))))))))))))
     , 3(1(3(5(3(5(5(2(5(3(0(1(x1)))))))))))) ->
       2(3(1(2(0(3(2(3(5(4(0(0(0(5(0(0(x1))))))))))))))))
     , 3(1(1(5(0(3(2(3(3(3(3(4(x1)))))))))))) ->
       2(0(2(4(4(5(0(5(4(3(1(0(0(3(x1))))))))))))))
     , 3(0(5(5(5(2(0(3(1(2(5(0(x1)))))))))))) ->
       0(4(0(4(2(2(2(0(1(3(4(4(1(0(5(x1)))))))))))))))
     , 2(5(4(5(1(5(3(1(5(2(4(1(x1)))))))))))) ->
       2(4(1(0(4(1(5(2(1(1(1(4(0(5(2(3(4(0(x1))))))))))))))))))
     , 2(5(3(3(3(3(5(2(1(4(2(0(x1)))))))))))) ->
       0(1(3(4(0(5(5(3(0(2(2(4(3(2(3(x1)))))))))))))))
     , 2(5(2(0(5(3(4(1(5(2(5(5(x1)))))))))))) ->
       1(2(2(0(1(4(1(2(1(2(5(1(3(0(0(4(4(1(x1))))))))))))))))))
     , 2(5(1(5(5(5(5(3(4(0(2(4(x1)))))))))))) ->
       4(2(4(4(2(2(4(5(0(4(2(2(1(0(x1))))))))))))))
     , 2(5(1(5(5(1(1(0(5(5(5(5(x1)))))))))))) ->
       3(3(2(4(4(4(0(2(5(1(0(2(5(1(3(x1)))))))))))))))
     , 2(5(0(5(5(2(4(3(2(5(1(5(x1)))))))))))) ->
       3(4(1(4(0(1(1(0(4(1(1(0(0(2(4(4(5(2(x1))))))))))))))))))
     , 2(4(3(5(2(1(5(5(2(1(5(2(x1)))))))))))) ->
       4(2(1(4(1(0(4(5(0(4(2(1(2(3(5(x1)))))))))))))))
     , 2(3(4(3(2(5(3(5(1(0(1(4(x1)))))))))))) ->
       2(0(0(4(4(5(0(2(3(5(1(2(2(2(4(x1)))))))))))))))
     , 2(3(3(0(2(5(5(2(2(4(5(4(x1)))))))))))) ->
       4(0(0(0(1(0(0(5(4(1(4(1(4(2(1(x1)))))))))))))))
     , 2(2(4(1(5(5(3(3(5(2(5(5(x1)))))))))))) ->
       5(0(5(0(4(4(1(2(1(3(3(4(2(4(4(x1)))))))))))))))
     , 2(2(1(5(5(3(4(3(2(5(3(2(x1)))))))))))) ->
       2(2(2(1(3(3(4(0(0(4(3(3(1(3(x1))))))))))))))
     , 2(2(0(3(2(1(0(3(5(5(5(5(x1)))))))))))) ->
       4(1(2(2(3(4(0(2(4(1(0(4(2(4(0(0(4(3(x1))))))))))))))))))
     , 2(2(0(1(2(5(5(2(1(1(1(3(x1)))))))))))) ->
       2(4(4(0(4(1(3(0(0(5(2(0(4(0(4(4(4(0(x1))))))))))))))))))
     , 2(2(0(1(2(5(0(3(2(5(1(2(x1)))))))))))) ->
       3(2(1(4(4(4(2(1(0(1(2(0(0(0(4(0(4(5(x1))))))))))))))))))
     , 2(1(1(1(3(1(1(3(2(0(3(2(x1)))))))))))) ->
       2(2(1(0(0(0(2(1(2(2(2(1(4(4(x1))))))))))))))
     , 2(0(5(4(2(2(3(3(2(5(2(5(x1)))))))))))) ->
       4(5(3(2(0(4(4(0(1(2(2(1(0(2(0(0(4(x1)))))))))))))))))
     , 2(0(0(1(5(1(2(5(3(2(1(4(x1)))))))))))) ->
       2(5(4(0(0(2(2(1(4(1(0(4(4(1(3(0(x1))))))))))))))))
     , 1(5(5(0(5(1(5(3(5(0(3(4(x1)))))))))))) ->
       4(1(2(0(0(1(3(1(1(0(5(4(2(3(2(x1)))))))))))))))
     , 1(5(3(5(3(3(3(2(2(0(1(1(x1)))))))))))) ->
       2(4(0(2(2(0(0(4(1(1(5(3(5(1(3(4(1(x1)))))))))))))))))
     , 1(5(3(1(1(2(3(3(2(5(1(1(x1)))))))))))) ->
       3(1(1(3(1(2(4(0(0(2(5(1(2(0(0(4(x1))))))))))))))))
     , 1(5(2(0(3(3(5(3(1(5(2(3(x1)))))))))))) ->
       5(2(4(0(5(4(5(0(5(3(4(2(0(3(x1))))))))))))))
     , 1(5(1(3(3(2(2(1(5(1(5(5(x1)))))))))))) ->
       0(2(1(1(1(4(1(2(4(5(2(2(0(1(2(4(x1))))))))))))))))
     , 1(5(0(5(5(1(5(5(3(5(3(0(x1)))))))))))) ->
       1(0(5(5(2(0(4(0(5(4(1(1(0(4(0(5(0(4(x1))))))))))))))))))
     , 1(5(0(5(1(4(5(4(3(5(0(2(x1)))))))))))) ->
       0(1(5(4(0(1(5(0(4(4(4(4(2(0(0(2(x1))))))))))))))))
     , 1(3(5(5(1(3(2(4(2(3(2(5(x1)))))))))))) ->
       1(2(0(3(0(4(4(1(4(0(1(5(1(1(x1))))))))))))))
     , 1(3(3(1(5(2(3(3(5(5(5(5(x1)))))))))))) ->
       0(2(4(0(1(4(0(4(4(4(5(2(4(3(1(5(2(3(x1))))))))))))))))))
     , 1(3(0(5(5(0(1(2(5(1(5(4(x1)))))))))))) ->
       4(0(4(3(0(3(0(4(0(1(0(4(5(4(x1))))))))))))))
     , 1(2(4(1(5(3(1(1(0(5(4(2(x1)))))))))))) ->
       2(0(1(2(0(4(2(2(1(1(4(4(1(0(0(4(4(0(x1))))))))))))))))))
     , 1(2(2(5(3(1(4(5(1(3(4(1(x1)))))))))))) ->
       2(3(4(0(4(0(4(5(1(2(0(0(4(5(0(5(x1))))))))))))))))
     , 1(1(2(5(0(1(2(3(5(5(3(4(x1)))))))))))) ->
       2(4(2(4(4(3(3(2(2(3(2(1(4(0(x1))))))))))))))
     , 1(0(3(3(5(5(0(5(4(5(1(0(x1)))))))))))) ->
       2(3(4(0(3(0(1(4(0(3(4(1(2(4(2(x1)))))))))))))))
     , 0(5(5(3(2(4(0(5(4(4(0(4(x1)))))))))))) ->
       2(1(0(4(4(3(0(1(0(4(0(2(2(4(4(4(x1))))))))))))))))
     , 0(5(3(2(2(1(2(3(3(2(5(0(x1)))))))))))) ->
       3(0(5(5(4(3(1(1(5(4(0(1(4(0(x1))))))))))))))
     , 0(3(1(2(1(2(3(1(5(3(3(5(x1)))))))))))) ->
       0(1(4(4(2(2(0(0(5(4(2(3(1(0(2(1(0(2(x1))))))))))))))))))
     , 0(3(0(2(5(2(5(3(3(3(5(4(x1)))))))))))) ->
       2(4(4(2(0(4(4(2(4(4(2(3(1(2(1(1(1(5(x1))))))))))))))))))
     , 0(2(5(3(5(1(5(1(5(5(5(5(x1)))))))))))) ->
       2(0(4(0(4(1(5(1(0(4(5(1(1(1(1(0(3(2(x1))))))))))))))))))
     , 0(2(2(4(5(0(1(3(3(2(5(5(x1)))))))))))) ->
       1(0(4(0(0(4(3(4(2(1(1(4(4(0(2(3(x1))))))))))))))))
     , 0(1(5(5(4(4(2(5(4(2(5(1(x1)))))))))))) ->
       0(0(0(5(0(5(3(4(1(0(4(2(2(4(x1))))))))))))))
     , 0(0(2(5(3(2(2(5(3(5(3(2(x1)))))))))))) ->
       2(0(0(0(3(0(4(0(0(3(0(2(5(0(5(2(0(2(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:
  {  2_0(1) -> 1
   , 2_1(1) -> 87
   , 2_1(2) -> 87
   , 2_1(14) -> 209
   , 2_1(15) -> 87
   , 2_1(18) -> 17
   , 2_1(19) -> 18
   , 2_1(26) -> 25
   , 2_1(29) -> 156
   , 2_1(30) -> 1
   , 2_1(30) -> 14
   , 2_1(30) -> 28
   , 2_1(30) -> 29
   , 2_1(30) -> 60
   , 2_1(30) -> 61
   , 2_1(30) -> 76
   , 2_1(30) -> 86
   , 2_1(30) -> 87
   , 2_1(30) -> 88
   , 2_1(30) -> 101
   , 2_1(30) -> 103
   , 2_1(30) -> 118
   , 2_1(30) -> 155
   , 2_1(30) -> 156
   , 2_1(30) -> 209
   , 2_1(30) -> 233
   , 2_1(30) -> 358
   , 2_1(30) -> 359
   , 2_1(30) -> 438
   , 2_1(30) -> 519
   , 2_1(30) -> 592
   , 2_1(30) -> 700
   , 2_1(30) -> 778
   , 2_1(30) -> 791
   , 2_1(30) -> 866
   , 2_1(30) -> 998
   , 2_1(30) -> 999
   , 2_1(30) -> 1070
   , 2_1(30) -> 1125
   , 2_1(30) -> 1220
   , 2_1(30) -> 1503
   , 2_1(38) -> 37
   , 2_1(45) -> 87
   , 2_1(48) -> 47
   , 2_1(61) -> 1070
   , 2_1(62) -> 87
   , 2_1(63) -> 62
   , 2_1(64) -> 63
   , 2_1(65) -> 64
   , 2_1(74) -> 1585
   , 2_1(75) -> 74
   , 2_1(76) -> 234
   , 2_1(78) -> 77
   , 2_1(86) -> 85
   , 2_1(87) -> 791
   , 2_1(88) -> 87
   , 2_1(89) -> 234
   , 2_1(90) -> 87
   , 2_1(105) -> 87
   , 2_1(111) -> 110
   , 2_1(112) -> 111
   , 2_1(119) -> 87
   , 2_1(126) -> 125
   , 2_1(133) -> 87
   , 2_1(138) -> 137
   , 2_1(141) -> 140
   , 2_1(144) -> 1576
   , 2_1(145) -> 15
   , 2_1(149) -> 148
   , 2_1(155) -> 154
   , 2_1(156) -> 155
   , 2_1(169) -> 168
   , 2_1(170) -> 169
   , 2_1(173) -> 87
   , 2_1(176) -> 175
   , 2_1(177) -> 176
   , 2_1(180) -> 179
   , 2_1(181) -> 180
   , 2_1(185) -> 87
   , 2_1(195) -> 194
   , 2_1(196) -> 195
   , 2_1(199) -> 234
   , 2_1(210) -> 87
   , 2_1(216) -> 215
   , 2_1(221) -> 220
   , 2_1(222) -> 221
   , 2_1(228) -> 227
   , 2_1(234) -> 1192
   , 2_1(249) -> 248
   , 2_1(256) -> 255
   , 2_1(268) -> 87
   , 2_1(272) -> 271
   , 2_1(281) -> 280
   , 2_1(287) -> 286
   , 2_1(291) -> 290
   , 2_1(297) -> 296
   , 2_1(304) -> 303
   , 2_1(333) -> 2
   , 2_1(338) -> 337
   , 2_1(348) -> 347
   , 2_1(356) -> 1568
   , 2_1(358) -> 1430
   , 2_1(362) -> 361
   , 2_1(365) -> 364
   , 2_1(395) -> 394
   , 2_1(410) -> 1586
   , 2_1(421) -> 644
   , 2_1(517) -> 516
   , 2_1(518) -> 517
   , 2_1(520) -> 519
   , 2_1(526) -> 87
   , 2_1(536) -> 688
   , 2_1(538) -> 45
   , 2_1(544) -> 543
   , 2_1(559) -> 558
   , 2_1(581) -> 145
   , 2_1(583) -> 581
   , 2_1(592) -> 591
   , 2_1(670) -> 669
   , 2_1(682) -> 681
   , 2_1(685) -> 684
   , 2_1(688) -> 687
   , 2_1(693) -> 692
   , 2_1(695) -> 694
   , 2_1(702) -> 701
   , 2_1(707) -> 706
   , 2_1(709) -> 708
   , 2_1(749) -> 748
   , 2_1(751) -> 750
   , 2_1(754) -> 1298
   , 2_1(755) -> 46
   , 2_1(760) -> 759
   , 2_1(761) -> 760
   , 2_1(765) -> 1438
   , 2_1(766) -> 765
   , 2_1(767) -> 89
   , 2_1(786) -> 785
   , 2_1(821) -> 820
   , 2_1(866) -> 1182
   , 2_1(881) -> 880
   , 2_1(892) -> 210
   , 2_1(893) -> 892
   , 2_1(938) -> 937
   , 2_1(963) -> 962
   , 2_1(975) -> 974
   , 2_1(978) -> 977
   , 2_1(988) -> 987
   , 2_1(996) -> 995
   , 2_1(998) -> 1468
   , 2_1(999) -> 1706
   , 2_1(1001) -> 1000
   , 2_1(1004) -> 1003
   , 2_1(1009) -> 1008
   , 2_1(1020) -> 1019
   , 2_1(1021) -> 1020
   , 2_1(1022) -> 1021
   , 2_1(1056) -> 1055
   , 2_1(1067) -> 1066
   , 2_1(1068) -> 1067
   , 2_1(1103) -> 767
   , 2_1(1108) -> 1107
   , 2_1(1110) -> 1109
   , 2_1(1118) -> 1117
   , 2_1(1119) -> 1118
   , 2_1(1124) -> 1123
   , 2_1(1125) -> 1124
   , 2_1(1132) -> 1131
   , 2_1(1142) -> 1141
   , 2_1(1161) -> 1160
   , 2_1(1181) -> 1180
   , 2_1(1188) -> 1187
   , 2_1(1192) -> 1191
   , 2_1(1207) -> 1206
   , 2_1(1211) -> 30
   , 2_1(1212) -> 1211
   , 2_1(1221) -> 247
   , 2_1(1222) -> 1221
   , 2_1(1226) -> 1225
   , 2_1(1231) -> 1230
   , 2_1(1242) -> 1241
   , 2_1(1247) -> 104
   , 2_1(1253) -> 1252
   , 2_1(1257) -> 1256
   , 2_1(1295) -> 1294
   , 2_1(1297) -> 1296
   , 2_1(1298) -> 1297
   , 2_1(1299) -> 276
   , 2_1(1316) -> 1315
   , 2_1(1317) -> 1316
   , 2_1(1326) -> 1325
   , 2_1(1362) -> 1361
   , 2_1(1363) -> 1362
   , 2_1(1379) -> 1378
   , 2_1(1380) -> 1379
   , 2_1(1402) -> 1401
   , 2_1(1406) -> 1405
   , 2_1(1436) -> 1435
   , 2_1(1448) -> 87
   , 2_1(1449) -> 1448
   , 2_1(1516) -> 1515
   , 2_1(1540) -> 1539
   , 2_1(1543) -> 1542
   , 2_1(1544) -> 1543
   , 2_1(1557) -> 1556
   , 2_1(1561) -> 31
   , 2_1(1566) -> 1565
   , 2_1(1567) -> 1566
   , 2_1(1577) -> 87
   , 2_1(1586) -> 1585
   , 2_1(1620) -> 1619
   , 2_1(1621) -> 1620
   , 2_1(1626) -> 1625
   , 2_1(1630) -> 1629
   , 2_1(1644) -> 1234
   , 2_1(1648) -> 1647
   , 2_1(1651) -> 1650
   , 2_1(1654) -> 1653
   , 2_1(1675) -> 1674
   , 2_1(1703) -> 1702
   , 3_0(1) -> 1
   , 3_1(1) -> 61
   , 3_1(2) -> 61
   , 3_1(3) -> 2
   , 3_1(5) -> 4
   , 3_1(6) -> 5
   , 3_1(12) -> 11
   , 3_1(13) -> 963
   , 3_1(14) -> 359
   , 3_1(15) -> 61
   , 3_1(16) -> 15
   , 3_1(22) -> 21
   , 3_1(28) -> 222
   , 3_1(29) -> 222
   , 3_1(30) -> 61
   , 3_1(32) -> 31
   , 3_1(37) -> 36
   , 3_1(45) -> 866
   , 3_1(51) -> 50
   , 3_1(56) -> 55
   , 3_1(57) -> 56
   , 3_1(58) -> 275
   , 3_1(61) -> 118
   , 3_1(70) -> 69
   , 3_1(75) -> 142
   , 3_1(76) -> 520
   , 3_1(79) -> 78
   , 3_1(85) -> 84
   , 3_1(87) -> 86
   , 3_1(88) -> 866
   , 3_1(92) -> 91
   , 3_1(103) -> 102
   , 3_1(104) -> 1
   , 3_1(104) -> 29
   , 3_1(104) -> 61
   , 3_1(104) -> 76
   , 3_1(104) -> 87
   , 3_1(104) -> 144
   , 3_1(104) -> 155
   , 3_1(104) -> 778
   , 3_1(104) -> 791
   , 3_1(104) -> 866
   , 3_1(105) -> 61
   , 3_1(115) -> 114
   , 3_1(118) -> 315
   , 3_1(122) -> 121
   , 3_1(130) -> 129
   , 3_1(131) -> 297
   , 3_1(132) -> 1
   , 3_1(132) -> 14
   , 3_1(132) -> 60
   , 3_1(132) -> 61
   , 3_1(132) -> 76
   , 3_1(132) -> 86
   , 3_1(132) -> 88
   , 3_1(132) -> 171
   , 3_1(132) -> 592
   , 3_1(132) -> 1069
   , 3_1(133) -> 61
   , 3_1(135) -> 134
   , 3_1(142) -> 141
   , 3_1(143) -> 142
   , 3_1(145) -> 61
   , 3_1(154) -> 153
   , 3_1(157) -> 61
   , 3_1(175) -> 174
   , 3_1(197) -> 196
   , 3_1(200) -> 199
   , 3_1(211) -> 210
   , 3_1(217) -> 216
   , 3_1(230) -> 229
   , 3_1(233) -> 232
   , 3_1(235) -> 45
   , 3_1(240) -> 239
   , 3_1(243) -> 242
   , 3_1(250) -> 249
   , 3_1(252) -> 251
   , 3_1(267) -> 343
   , 3_1(268) -> 61
   , 3_1(276) -> 30
   , 3_1(282) -> 281
   , 3_1(333) -> 61
   , 3_1(335) -> 334
   , 3_1(336) -> 335
   , 3_1(344) -> 343
   , 3_1(356) -> 355
   , 3_1(357) -> 536
   , 3_1(403) -> 402
   , 3_1(404) -> 403
   , 3_1(406) -> 405
   , 3_1(416) -> 415
   , 3_1(418) -> 417
   , 3_1(420) -> 419
   , 3_1(438) -> 437
   , 3_1(506) -> 61
   , 3_1(510) -> 509
   , 3_1(519) -> 518
   , 3_1(528) -> 527
   , 3_1(537) -> 536
   , 3_1(539) -> 61
   , 3_1(545) -> 544
   , 3_1(560) -> 1220
   , 3_1(568) -> 223
   , 3_1(573) -> 572
   , 3_1(632) -> 506
   , 3_1(635) -> 634
   , 3_1(643) -> 642
   , 3_1(665) -> 46
   , 3_1(676) -> 675
   , 3_1(677) -> 61
   , 3_1(690) -> 689
   , 3_1(701) -> 104
   , 3_1(752) -> 751
   , 3_1(754) -> 753
   , 3_1(767) -> 61
   , 3_1(768) -> 767
   , 3_1(769) -> 61
   , 3_1(780) -> 779
   , 3_1(789) -> 788
   , 3_1(792) -> 89
   , 3_1(794) -> 793
   , 3_1(795) -> 794
   , 3_1(866) -> 865
   , 3_1(885) -> 884
   , 3_1(888) -> 1428
   , 3_1(929) -> 538
   , 3_1(930) -> 929
   , 3_1(933) -> 932
   , 3_1(941) -> 145
   , 3_1(973) -> 972
   , 3_1(976) -> 975
   , 3_1(977) -> 976
   , 3_1(989) -> 988
   , 3_1(1003) -> 1002
   , 3_1(1005) -> 1004
   , 3_1(1008) -> 61
   , 3_1(1016) -> 1015
   , 3_1(1032) -> 1031
   , 3_1(1065) -> 1064
   , 3_1(1070) -> 1069
   , 3_1(1113) -> 1112
   , 3_1(1189) -> 1188
   , 3_1(1209) -> 1208
   , 3_1(1210) -> 1209
   , 3_1(1214) -> 1213
   , 3_1(1215) -> 1214
   , 3_1(1220) -> 1219
   , 3_1(1223) -> 1222
   , 3_1(1238) -> 1237
   , 3_1(1247) -> 61
   , 3_1(1373) -> 1372
   , 3_1(1387) -> 1386
   , 3_1(1400) -> 1399
   , 3_1(1429) -> 1428
   , 3_1(1447) -> 1
   , 3_1(1448) -> 30
   , 3_1(1449) -> 61
   , 3_1(1495) -> 1494
   , 3_1(1518) -> 1517
   , 3_1(1532) -> 1531
   , 3_1(1534) -> 1533
   , 3_1(1564) -> 1563
   , 3_1(1565) -> 1564
   , 3_1(1568) -> 1567
   , 3_1(1569) -> 1551
   , 3_1(1574) -> 1573
   , 3_1(1580) -> 1579
   , 3_1(1592) -> 1591
   , 3_1(1627) -> 1626
   , 3_1(1652) -> 1651
   , 3_1(1673) -> 1672
   , 3_1(1688) -> 1687
   , 3_1(1696) -> 1695
   , 3_1(1701) -> 1700
   , 5_0(1) -> 1
   , 5_1(1) -> 88
   , 5_1(2) -> 1
   , 5_1(2) -> 14
   , 5_1(2) -> 87
   , 5_1(2) -> 88
   , 5_1(2) -> 592
   , 5_1(2) -> 791
   , 5_1(2) -> 1192
   , 5_1(4) -> 3
   , 5_1(8) -> 7
   , 5_1(9) -> 8
   , 5_1(13) -> 802
   , 5_1(15) -> 88
   , 5_1(27) -> 26
   , 5_1(28) -> 368
   , 5_1(29) -> 593
   , 5_1(30) -> 45
   , 5_1(45) -> 88
   , 5_1(62) -> 31
   , 5_1(76) -> 171
   , 5_1(77) -> 33
   , 5_1(81) -> 80
   , 5_1(87) -> 103
   , 5_1(89) -> 88
   , 5_1(95) -> 94
   , 5_1(98) -> 97
   , 5_1(100) -> 99
   , 5_1(104) -> 15
   , 5_1(119) -> 88
   , 5_1(124) -> 123
   , 5_1(133) -> 132
   , 5_1(137) -> 136
   , 5_1(153) -> 152
   , 5_1(156) -> 1705
   , 5_1(172) -> 88
   , 5_1(192) -> 191
   , 5_1(194) -> 193
   , 5_1(198) -> 939
   , 5_1(206) -> 205
   , 5_1(212) -> 211
   , 5_1(238) -> 237
   , 5_1(244) -> 243
   , 5_1(247) -> 88
   , 5_1(267) -> 266
   , 5_1(268) -> 45
   , 5_1(293) -> 292
   , 5_1(303) -> 302
   , 5_1(333) -> 88
   , 5_1(337) -> 336
   , 5_1(356) -> 396
   , 5_1(366) -> 365
   , 5_1(390) -> 389
   , 5_1(394) -> 393
   , 5_1(397) -> 88
   , 5_1(413) -> 412
   , 5_1(417) -> 416
   , 5_1(421) -> 420
   , 5_1(526) -> 88
   , 5_1(531) -> 530
   , 5_1(542) -> 541
   , 5_1(547) -> 30
   , 5_1(548) -> 88
   , 5_1(560) -> 1142
   , 5_1(569) -> 568
   , 5_1(579) -> 578
   , 5_1(585) -> 583
   , 5_1(679) -> 678
   , 5_1(688) -> 1061
   , 5_1(711) -> 710
   , 5_1(745) -> 277
   , 5_1(756) -> 755
   , 5_1(767) -> 45
   , 5_1(777) -> 905
   , 5_1(778) -> 1560
   , 5_1(781) -> 780
   , 5_1(790) -> 789
   , 5_1(796) -> 795
   , 5_1(807) -> 806
   , 5_1(811) -> 810
   , 5_1(855) -> 854
   , 5_1(856) -> 855
   , 5_1(882) -> 881
   , 5_1(887) -> 886
   , 5_1(897) -> 896
   , 5_1(905) -> 904
   , 5_1(932) -> 931
   , 5_1(934) -> 933
   , 5_1(946) -> 945
   , 5_1(948) -> 947
   , 5_1(993) -> 992
   , 5_1(1006) -> 1005
   , 5_1(1012) -> 1011
   , 5_1(1014) -> 1013
   , 5_1(1055) -> 1054
   , 5_1(1063) -> 1062
   , 5_1(1064) -> 1063
   , 5_1(1070) -> 1519
   , 5_1(1111) -> 1110
   , 5_1(1121) -> 1120
   , 5_1(1133) -> 1132
   , 5_1(1147) -> 88
   , 5_1(1178) -> 1177
   , 5_1(1186) -> 1185
   , 5_1(1190) -> 1189
   , 5_1(1197) -> 1196
   , 5_1(1202) -> 119
   , 5_1(1241) -> 1240
   , 5_1(1377) -> 1376
   , 5_1(1386) -> 1385
   , 5_1(1388) -> 1387
   , 5_1(1407) -> 1406
   , 5_1(1424) -> 1423
   , 5_1(1426) -> 1425
   , 5_1(1428) -> 1427
   , 5_1(1438) -> 1437
   , 5_1(1447) -> 526
   , 5_1(1448) -> 1447
   , 5_1(1453) -> 1452
   , 5_1(1459) -> 199
   , 5_1(1463) -> 1462
   , 5_1(1503) -> 1502
   , 5_1(1515) -> 1514
   , 5_1(1555) -> 1554
   , 5_1(1587) -> 506
   , 5_1(1588) -> 1587
   , 5_1(1597) -> 1596
   , 5_1(1624) -> 1623
   , 5_1(1660) -> 1659
   , 5_1(1664) -> 1663
   , 5_1(1687) -> 1686
   , 5_1(1704) -> 1703
   , 5_1(1706) -> 1705
   , 0_0(1) -> 1
   , 0_1(1) -> 29
   , 0_1(2) -> 29
   , 0_1(13) -> 131
   , 0_1(14) -> 13
   , 0_1(15) -> 1
   , 0_1(15) -> 14
   , 0_1(15) -> 29
   , 0_1(15) -> 61
   , 0_1(15) -> 76
   , 0_1(15) -> 86
   , 0_1(15) -> 87
   , 0_1(15) -> 88
   , 0_1(15) -> 103
   , 0_1(15) -> 118
   , 0_1(15) -> 144
   , 0_1(15) -> 222
   , 0_1(15) -> 267
   , 0_1(15) -> 315
   , 0_1(15) -> 358
   , 0_1(15) -> 560
   , 0_1(15) -> 592
   , 0_1(15) -> 593
   , 0_1(15) -> 1502
   , 0_1(15) -> 1560
   , 0_1(17) -> 16
   , 0_1(28) -> 27
   , 0_1(29) -> 28
   , 0_1(30) -> 29
   , 0_1(31) -> 29
   , 0_1(33) -> 32
   , 0_1(35) -> 34
   , 0_1(42) -> 41
   , 0_1(45) -> 29
   , 0_1(47) -> 46
   , 0_1(50) -> 49
   , 0_1(60) -> 1233
   , 0_1(61) -> 358
   , 0_1(66) -> 65
   , 0_1(67) -> 66
   , 0_1(71) -> 70
   , 0_1(73) -> 72
   , 0_1(74) -> 73
   , 0_1(76) -> 198
   , 0_1(80) -> 79
   , 0_1(84) -> 83
   , 0_1(86) -> 1668
   , 0_1(87) -> 999
   , 0_1(88) -> 778
   , 0_1(89) -> 29
   , 0_1(90) -> 28
   , 0_1(97) -> 96
   , 0_1(101) -> 100
   , 0_1(104) -> 29
   , 0_1(105) -> 29
   , 0_1(106) -> 105
   , 0_1(108) -> 107
   , 0_1(117) -> 288
   , 0_1(118) -> 117
   , 0_1(119) -> 2
   , 0_1(121) -> 120
   , 0_1(131) -> 130
   , 0_1(132) -> 778
   , 0_1(133) -> 1
   , 0_1(133) -> 13
   , 0_1(133) -> 29
   , 0_1(133) -> 61
   , 0_1(133) -> 86
   , 0_1(133) -> 520
   , 0_1(133) -> 536
   , 0_1(134) -> 29
   , 0_1(140) -> 139
   , 0_1(147) -> 146
   , 0_1(151) -> 150
   , 0_1(152) -> 151
   , 0_1(157) -> 132
   , 0_1(161) -> 160
   , 0_1(170) -> 1538
   , 0_1(171) -> 265
   , 0_1(172) -> 29
   , 0_1(178) -> 177
   , 0_1(182) -> 181
   , 0_1(183) -> 182
   , 0_1(185) -> 29
   , 0_1(187) -> 186
   , 0_1(190) -> 189
   , 0_1(193) -> 192
   , 0_1(198) -> 1326
   , 0_1(199) -> 29
   , 0_1(204) -> 203
   , 0_1(207) -> 206
   , 0_1(209) -> 590
   , 0_1(210) -> 133
   , 0_1(213) -> 212
   , 0_1(214) -> 213
   , 0_1(219) -> 218
   , 0_1(221) -> 295
   , 0_1(223) -> 29
   , 0_1(225) -> 224
   , 0_1(229) -> 228
   , 0_1(231) -> 230
   , 0_1(232) -> 231
   , 0_1(233) -> 766
   , 0_1(234) -> 790
   , 0_1(236) -> 235
   , 0_1(239) -> 238
   , 0_1(242) -> 241
   , 0_1(246) -> 1598
   , 0_1(247) -> 28
   , 0_1(259) -> 258
   , 0_1(260) -> 259
   , 0_1(261) -> 260
   , 0_1(262) -> 261
   , 0_1(263) -> 262
   , 0_1(265) -> 264
   , 0_1(266) -> 265
   , 0_1(267) -> 1261
   , 0_1(270) -> 269
   , 0_1(271) -> 270
   , 0_1(275) -> 274
   , 0_1(280) -> 279
   , 0_1(283) -> 282
   , 0_1(286) -> 285
   , 0_1(288) -> 287
   , 0_1(292) -> 291
   , 0_1(294) -> 293
   , 0_1(295) -> 294
   , 0_1(296) -> 295
   , 0_1(299) -> 298
   , 0_1(300) -> 299
   , 0_1(302) -> 301
   , 0_1(334) -> 333
   , 0_1(345) -> 29
   , 0_1(346) -> 28
   , 0_1(351) -> 350
   , 0_1(352) -> 351
   , 0_1(356) -> 1598
   , 0_1(357) -> 579
   , 0_1(358) -> 1017
   , 0_1(359) -> 358
   , 0_1(360) -> 199
   , 0_1(361) -> 360
   , 0_1(364) -> 363
   , 0_1(366) -> 1007
   , 0_1(367) -> 366
   , 0_1(368) -> 367
   , 0_1(389) -> 247
   , 0_1(392) -> 391
   , 0_1(400) -> 399
   , 0_1(402) -> 401
   , 0_1(407) -> 406
   , 0_1(409) -> 408
   , 0_1(415) -> 414
   , 0_1(422) -> 421
   , 0_1(506) -> 104
   , 0_1(509) -> 508
   , 0_1(511) -> 510
   , 0_1(526) -> 89
   , 0_1(527) -> 526
   , 0_1(533) -> 532
   , 0_1(536) -> 535
   , 0_1(537) -> 676
   , 0_1(538) -> 29
   , 0_1(539) -> 538
   , 0_1(540) -> 539
   , 0_1(541) -> 540
   , 0_1(546) -> 545
   , 0_1(547) -> 29
   , 0_1(548) -> 547
   , 0_1(554) -> 553
   , 0_1(556) -> 555
   , 0_1(557) -> 556
   , 0_1(570) -> 569
   , 0_1(571) -> 570
   , 0_1(572) -> 571
   , 0_1(589) -> 588
   , 0_1(591) -> 590
   , 0_1(636) -> 635
   , 0_1(666) -> 665
   , 0_1(673) -> 672
   , 0_1(677) -> 45
   , 0_1(681) -> 680
   , 0_1(686) -> 685
   , 0_1(691) -> 690
   , 0_1(697) -> 696
   , 0_1(702) -> 29
   , 0_1(712) -> 711
   , 0_1(747) -> 746
   , 0_1(748) -> 747
   , 0_1(757) -> 756
   , 0_1(759) -> 758
   , 0_1(763) -> 762
   , 0_1(764) -> 763
   , 0_1(769) -> 768
   , 0_1(775) -> 1244
   , 0_1(779) -> 677
   , 0_1(783) -> 782
   , 0_1(784) -> 783
   , 0_1(791) -> 790
   , 0_1(792) -> 29
   , 0_1(798) -> 797
   , 0_1(800) -> 799
   , 0_1(806) -> 210
   , 0_1(819) -> 818
   , 0_1(849) -> 145
   , 0_1(854) -> 853
   , 0_1(857) -> 856
   , 0_1(866) -> 358
   , 0_1(880) -> 28
   , 0_1(883) -> 882
   , 0_1(886) -> 885
   , 0_1(888) -> 887
   , 0_1(903) -> 902
   , 0_1(931) -> 930
   , 0_1(936) -> 935
   , 0_1(937) -> 936
   , 0_1(939) -> 1458
   , 0_1(943) -> 941
   , 0_1(947) -> 946
   , 0_1(967) -> 157
   , 0_1(969) -> 967
   , 0_1(972) -> 971
   , 0_1(974) -> 973
   , 0_1(978) -> 1598
   , 0_1(990) -> 989
   , 0_1(991) -> 990
   , 0_1(998) -> 997
   , 0_1(999) -> 998
   , 0_1(1002) -> 1001
   , 0_1(1008) -> 30
   , 0_1(1013) -> 1012
   , 0_1(1017) -> 287
   , 0_1(1018) -> 411
   , 0_1(1023) -> 1022
   , 0_1(1052) -> 880
   , 0_1(1061) -> 1060
   , 0_1(1062) -> 201
   , 0_1(1066) -> 1065
   , 0_1(1070) -> 1679
   , 0_1(1104) -> 1103
   , 0_1(1114) -> 1113
   , 0_1(1115) -> 1114
   , 0_1(1122) -> 1121
   , 0_1(1131) -> 1130
   , 0_1(1141) -> 1140
   , 0_1(1149) -> 1148
   , 0_1(1155) -> 1154
   , 0_1(1159) -> 1158
   , 0_1(1160) -> 1159
   , 0_1(1176) -> 1175
   , 0_1(1179) -> 1178
   , 0_1(1183) -> 1008
   , 0_1(1187) -> 1186
   , 0_1(1193) -> 779
   , 0_1(1195) -> 1194
   , 0_1(1196) -> 1195
   , 0_1(1203) -> 1202
   , 0_1(1211) -> 29
   , 0_1(1217) -> 1216
   , 0_1(1218) -> 1217
   , 0_1(1225) -> 1224
   , 0_1(1229) -> 1228
   , 0_1(1233) -> 1232
   , 0_1(1235) -> 1234
   , 0_1(1239) -> 1238
   , 0_1(1240) -> 1239
   , 0_1(1243) -> 1242
   , 0_1(1245) -> 1244
   , 0_1(1246) -> 1550
   , 0_1(1247) -> 29
   , 0_1(1250) -> 28
   , 0_1(1255) -> 1254
   , 0_1(1258) -> 1257
   , 0_1(1259) -> 1258
   , 0_1(1260) -> 1259
   , 0_1(1292) -> 1291
   , 0_1(1293) -> 1292
   , 0_1(1294) -> 1293
   , 0_1(1303) -> 1299
   , 0_1(1308) -> 1307
   , 0_1(1325) -> 1324
   , 0_1(1360) -> 987
   , 0_1(1361) -> 1360
   , 0_1(1367) -> 1366
   , 0_1(1368) -> 421
   , 0_1(1370) -> 1221
   , 0_1(1371) -> 1370
   , 0_1(1376) -> 1375
   , 0_1(1378) -> 31
   , 0_1(1381) -> 1380
   , 0_1(1382) -> 1381
   , 0_1(1404) -> 1403
   , 0_1(1405) -> 1404
   , 0_1(1422) -> 29
   , 0_1(1423) -> 1422
   , 0_1(1427) -> 1426
   , 0_1(1447) -> 778
   , 0_1(1448) -> 1
   , 0_1(1450) -> 1449
   , 0_1(1452) -> 1451
   , 0_1(1457) -> 1456
   , 0_1(1460) -> 28
   , 0_1(1461) -> 1460
   , 0_1(1464) -> 1463
   , 0_1(1494) -> 767
   , 0_1(1496) -> 1495
   , 0_1(1501) -> 1500
   , 0_1(1505) -> 29
   , 0_1(1506) -> 1505
   , 0_1(1511) -> 1510
   , 0_1(1533) -> 1532
   , 0_1(1535) -> 1534
   , 0_1(1537) -> 1536
   , 0_1(1541) -> 1540
   , 0_1(1550) -> 1549
   , 0_1(1551) -> 277
   , 0_1(1553) -> 1552
   , 0_1(1558) -> 1557
   , 0_1(1559) -> 1558
   , 0_1(1570) -> 1569
   , 0_1(1573) -> 1572
   , 0_1(1577) -> 345
   , 0_1(1581) -> 1580
   , 0_1(1583) -> 1582
   , 0_1(1585) -> 1584
   , 0_1(1622) -> 1621
   , 0_1(1623) -> 1622
   , 0_1(1629) -> 1628
   , 0_1(1645) -> 1644
   , 0_1(1657) -> 1656
   , 0_1(1662) -> 1661
   , 0_1(1670) -> 1669
   , 0_1(1671) -> 1670
   , 0_1(1686) -> 807
   , 0_1(1694) -> 1693
   , 0_1(1695) -> 1183
   , 0_1(1697) -> 1696
   , 0_1(1699) -> 1698
   , 0_1(1700) -> 1699
   , 0_1(1702) -> 1701
   , 0_1(1705) -> 1704
   , 4_0(1) -> 1
   , 4_1(1) -> 76
   , 4_1(2) -> 76
   , 4_1(3) -> 76
   , 4_1(4) -> 76
   , 4_1(10) -> 9
   , 4_1(12) -> 546
   , 4_1(13) -> 12
   , 4_1(14) -> 344
   , 4_1(15) -> 76
   , 4_1(20) -> 19
   , 4_1(21) -> 20
   , 4_1(24) -> 23
   , 4_1(25) -> 24
   , 4_1(28) -> 537
   , 4_1(29) -> 357
   , 4_1(30) -> 76
   , 4_1(31) -> 30
   , 4_1(34) -> 33
   , 4_1(39) -> 38
   , 4_1(45) -> 1
   , 4_1(45) -> 14
   , 4_1(45) -> 61
   , 4_1(45) -> 76
   , 4_1(45) -> 86
   , 4_1(45) -> 87
   , 4_1(45) -> 88
   , 4_1(45) -> 103
   , 4_1(45) -> 155
   , 4_1(45) -> 156
   , 4_1(45) -> 234
   , 4_1(45) -> 267
   , 4_1(45) -> 344
   , 4_1(45) -> 520
   , 4_1(45) -> 560
   , 4_1(45) -> 592
   , 4_1(45) -> 791
   , 4_1(45) -> 866
   , 4_1(45) -> 1070
   , 4_1(45) -> 1369
   , 4_1(45) -> 1502
   , 4_1(45) -> 1519
   , 4_1(45) -> 1559
   , 4_1(46) -> 45
   , 4_1(49) -> 48
   , 4_1(52) -> 51
   , 4_1(54) -> 53
   , 4_1(58) -> 57
   , 4_1(59) -> 58
   , 4_1(60) -> 59
   , 4_1(61) -> 60
   , 4_1(62) -> 76
   , 4_1(68) -> 67
   , 4_1(69) -> 68
   , 4_1(72) -> 71
   , 4_1(74) -> 1210
   , 4_1(75) -> 410
   , 4_1(76) -> 75
   , 4_1(82) -> 81
   , 4_1(83) -> 82
   , 4_1(85) -> 1377
   , 4_1(87) -> 144
   , 4_1(88) -> 267
   , 4_1(89) -> 76
   , 4_1(90) -> 89
   , 4_1(93) -> 92
   , 4_1(94) -> 93
   , 4_1(96) -> 95
   , 4_1(99) -> 98
   , 4_1(102) -> 101
   , 4_1(103) -> 1162
   , 4_1(104) -> 76
   , 4_1(105) -> 104
   , 4_1(107) -> 106
   , 4_1(109) -> 108
   , 4_1(116) -> 115
   , 4_1(117) -> 116
   , 4_1(118) -> 314
   , 4_1(120) -> 119
   , 4_1(123) -> 122
   , 4_1(127) -> 126
   , 4_1(128) -> 127
   , 4_1(129) -> 128
   , 4_1(130) -> 257
   , 4_1(132) -> 76
   , 4_1(133) -> 76
   , 4_1(134) -> 76
   , 4_1(139) -> 138
   , 4_1(143) -> 1465
   , 4_1(144) -> 143
   , 4_1(150) -> 149
   , 4_1(156) -> 888
   , 4_1(157) -> 76
   , 4_1(158) -> 157
   , 4_1(159) -> 158
   , 4_1(160) -> 159
   , 4_1(162) -> 161
   , 4_1(163) -> 162
   , 4_1(165) -> 164
   , 4_1(166) -> 165
   , 4_1(171) -> 170
   , 4_1(172) -> 76
   , 4_1(173) -> 172
   , 4_1(185) -> 3
   , 4_1(186) -> 185
   , 4_1(188) -> 187
   , 4_1(189) -> 188
   , 4_1(198) -> 197
   , 4_1(199) -> 76
   , 4_1(201) -> 200
   , 4_1(202) -> 201
   , 4_1(203) -> 202
   , 4_1(209) -> 1201
   , 4_1(215) -> 214
   , 4_1(218) -> 217
   , 4_1(224) -> 223
   , 4_1(227) -> 226
   , 4_1(237) -> 236
   , 4_1(241) -> 240
   , 4_1(248) -> 247
   , 4_1(249) -> 76
   , 4_1(251) -> 250
   , 4_1(253) -> 252
   , 4_1(254) -> 253
   , 4_1(255) -> 254
   , 4_1(264) -> 263
   , 4_1(268) -> 76
   , 4_1(269) -> 268
   , 4_1(277) -> 276
   , 4_1(284) -> 283
   , 4_1(298) -> 199
   , 4_1(301) -> 300
   , 4_1(313) -> 312
   , 4_1(314) -> 313
   , 4_1(315) -> 314
   , 4_1(333) -> 76
   , 4_1(339) -> 338
   , 4_1(340) -> 339
   , 4_1(342) -> 341
   , 4_1(343) -> 342
   , 4_1(344) -> 1115
   , 4_1(346) -> 345
   , 4_1(347) -> 346
   , 4_1(349) -> 348
   , 4_1(350) -> 349
   , 4_1(353) -> 352
   , 4_1(354) -> 353
   , 4_1(355) -> 354
   , 4_1(357) -> 1246
   , 4_1(358) -> 357
   , 4_1(363) -> 362
   , 4_1(391) -> 390
   , 4_1(393) -> 392
   , 4_1(397) -> 2
   , 4_1(401) -> 400
   , 4_1(408) -> 407
   , 4_1(410) -> 57
   , 4_1(411) -> 15
   , 4_1(412) -> 411
   , 4_1(414) -> 413
   , 4_1(419) -> 418
   , 4_1(435) -> 422
   , 4_1(506) -> 76
   , 4_1(508) -> 506
   , 4_1(529) -> 528
   , 4_1(534) -> 533
   , 4_1(535) -> 534
   , 4_1(537) -> 821
   , 4_1(538) -> 76
   , 4_1(543) -> 542
   , 4_1(547) -> 76
   , 4_1(549) -> 548
   , 4_1(550) -> 549
   , 4_1(552) -> 551
   , 4_1(553) -> 552
   , 4_1(555) -> 554
   , 4_1(558) -> 557
   , 4_1(560) -> 559
   , 4_1(578) -> 577
   , 4_1(588) -> 587
   , 4_1(590) -> 589
   , 4_1(634) -> 632
   , 4_1(642) -> 641
   , 4_1(644) -> 643
   , 4_1(667) -> 666
   , 4_1(674) -> 673
   , 4_1(677) -> 75
   , 4_1(683) -> 682
   , 4_1(687) -> 686
   , 4_1(692) -> 691
   , 4_1(698) -> 697
   , 4_1(699) -> 698
   , 4_1(706) -> 705
   , 4_1(711) -> 1535
   , 4_1(750) -> 749
   , 4_1(758) -> 757
   , 4_1(762) -> 761
   , 4_1(765) -> 764
   , 4_1(767) -> 76
   , 4_1(770) -> 769
   , 4_1(771) -> 770
   , 4_1(772) -> 771
   , 4_1(773) -> 772
   , 4_1(774) -> 773
   , 4_1(776) -> 775
   , 4_1(777) -> 776
   , 4_1(778) -> 777
   , 4_1(785) -> 784
   , 4_1(787) -> 786
   , 4_1(788) -> 787
   , 4_1(793) -> 792
   , 4_1(797) -> 796
   , 4_1(799) -> 798
   , 4_1(801) -> 800
   , 4_1(802) -> 801
   , 4_1(810) -> 807
   , 4_1(817) -> 811
   , 4_1(818) -> 817
   , 4_1(820) -> 819
   , 4_1(851) -> 849
   , 4_1(852) -> 851
   , 4_1(853) -> 852
   , 4_1(888) -> 143
   , 4_1(896) -> 893
   , 4_1(902) -> 897
   , 4_1(904) -> 903
   , 4_1(945) -> 943
   , 4_1(953) -> 948
   , 4_1(955) -> 953
   , 4_1(957) -> 955
   , 4_1(959) -> 957
   , 4_1(962) -> 961
   , 4_1(971) -> 969
   , 4_1(987) -> 547
   , 4_1(992) -> 991
   , 4_1(994) -> 993
   , 4_1(995) -> 994
   , 4_1(997) -> 996
   , 4_1(1007) -> 1006
   , 4_1(1010) -> 1009
   , 4_1(1011) -> 1010
   , 4_1(1015) -> 1014
   , 4_1(1019) -> 1018
   , 4_1(1033) -> 1032
   , 4_1(1034) -> 1033
   , 4_1(1053) -> 1052
   , 4_1(1060) -> 1059
   , 4_1(1069) -> 1068
   , 4_1(1106) -> 1105
   , 4_1(1116) -> 538
   , 4_1(1117) -> 1116
   , 4_1(1120) -> 1119
   , 4_1(1123) -> 1122
   , 4_1(1128) -> 702
   , 4_1(1129) -> 1128
   , 4_1(1130) -> 1129
   , 4_1(1148) -> 1147
   , 4_1(1156) -> 1155
   , 4_1(1162) -> 1161
   , 4_1(1174) -> 1173
   , 4_1(1177) -> 1176
   , 4_1(1180) -> 1179
   , 4_1(1184) -> 1183
   , 4_1(1185) -> 1184
   , 4_1(1192) -> 1694
   , 4_1(1198) -> 1197
   , 4_1(1200) -> 1199
   , 4_1(1204) -> 1203
   , 4_1(1205) -> 1204
   , 4_1(1211) -> 76
   , 4_1(1216) -> 1215
   , 4_1(1219) -> 1218
   , 4_1(1224) -> 1223
   , 4_1(1227) -> 1226
   , 4_1(1230) -> 1229
   , 4_1(1232) -> 1231
   , 4_1(1234) -> 31
   , 4_1(1236) -> 1235
   , 4_1(1244) -> 1243
   , 4_1(1246) -> 1245
   , 4_1(1247) -> 76
   , 4_1(1250) -> 1249
   , 4_1(1251) -> 1250
   , 4_1(1252) -> 1251
   , 4_1(1261) -> 1260
   , 4_1(1306) -> 1303
   , 4_1(1307) -> 1306
   , 4_1(1365) -> 1364
   , 4_1(1368) -> 1367
   , 4_1(1369) -> 1368
   , 4_1(1383) -> 1382
   , 4_1(1403) -> 1402
   , 4_1(1422) -> 333
   , 4_1(1425) -> 1424
   , 4_1(1429) -> 1466
   , 4_1(1430) -> 1429
   , 4_1(1434) -> 1433
   , 4_1(1437) -> 1436
   , 4_1(1447) -> 76
   , 4_1(1448) -> 76
   , 4_1(1451) -> 1450
   , 4_1(1454) -> 1453
   , 4_1(1458) -> 1457
   , 4_1(1460) -> 1459
   , 4_1(1465) -> 1464
   , 4_1(1466) -> 1465
   , 4_1(1467) -> 1466
   , 4_1(1468) -> 1467
   , 4_1(1497) -> 1496
   , 4_1(1498) -> 1497
   , 4_1(1500) -> 1499
   , 4_1(1505) -> 145
   , 4_1(1510) -> 1509
   , 4_1(1512) -> 1511
   , 4_1(1513) -> 1512
   , 4_1(1514) -> 1513
   , 4_1(1517) -> 1516
   , 4_1(1531) -> 677
   , 4_1(1536) -> 1535
   , 4_1(1542) -> 1541
   , 4_1(1547) -> 1546
   , 4_1(1548) -> 1547
   , 4_1(1552) -> 1551
   , 4_1(1554) -> 1553
   , 4_1(1560) -> 1559
   , 4_1(1562) -> 1561
   , 4_1(1563) -> 1562
   , 4_1(1572) -> 1571
   , 4_1(1575) -> 1574
   , 4_1(1578) -> 1577
   , 4_1(1579) -> 1578
   , 4_1(1584) -> 1583
   , 4_1(1591) -> 1588
   , 4_1(1598) -> 1597
   , 4_1(1619) -> 298
   , 4_1(1625) -> 1624
   , 4_1(1646) -> 1645
   , 4_1(1647) -> 1646
   , 4_1(1649) -> 1648
   , 4_1(1650) -> 1649
   , 4_1(1656) -> 1008
   , 4_1(1658) -> 1657
   , 4_1(1663) -> 1662
   , 4_1(1669) -> 526
   , 4_1(1672) -> 1671
   , 4_1(1674) -> 1673
   , 4_1(1678) -> 1677
   , 4_1(1679) -> 1678
   , 4_1(1690) -> 1688
   , 4_1(1698) -> 1697
   , 1_0(1) -> 1
   , 1_1(1) -> 14
   , 1_1(2) -> 14
   , 1_1(7) -> 6
   , 1_1(11) -> 10
   , 1_1(13) -> 44
   , 1_1(14) -> 1503
   , 1_1(15) -> 14
   , 1_1(23) -> 22
   , 1_1(29) -> 1125
   , 1_1(30) -> 14
   , 1_1(31) -> 14
   , 1_1(36) -> 35
   , 1_1(40) -> 39
   , 1_1(41) -> 40
   , 1_1(43) -> 42
   , 1_1(44) -> 43
   , 1_1(45) -> 14
   , 1_1(53) -> 52
   , 1_1(55) -> 54
   , 1_1(60) -> 184
   , 1_1(61) -> 560
   , 1_1(75) -> 754
   , 1_1(76) -> 246
   , 1_1(87) -> 438
   , 1_1(88) -> 592
   , 1_1(89) -> 1
   , 1_1(89) -> 14
   , 1_1(89) -> 29
   , 1_1(89) -> 61
   , 1_1(89) -> 76
   , 1_1(89) -> 87
   , 1_1(89) -> 88
   , 1_1(89) -> 171
   , 1_1(89) -> 267
   , 1_1(89) -> 343
   , 1_1(89) -> 520
   , 1_1(89) -> 560
   , 1_1(89) -> 592
   , 1_1(89) -> 790
   , 1_1(89) -> 999
   , 1_1(91) -> 90
   , 1_1(104) -> 14
   , 1_1(110) -> 109
   , 1_1(113) -> 112
   , 1_1(114) -> 113
   , 1_1(125) -> 124
   , 1_1(132) -> 14
   , 1_1(133) -> 14
   , 1_1(134) -> 133
   , 1_1(135) -> 14
   , 1_1(136) -> 135
   , 1_1(146) -> 145
   , 1_1(148) -> 147
   , 1_1(164) -> 163
   , 1_1(167) -> 166
   , 1_1(168) -> 167
   , 1_1(172) -> 89
   , 1_1(174) -> 173
   , 1_1(179) -> 178
   , 1_1(184) -> 183
   , 1_1(191) -> 190
   , 1_1(198) -> 712
   , 1_1(199) -> 15
   , 1_1(200) -> 14
   , 1_1(205) -> 204
   , 1_1(208) -> 207
   , 1_1(209) -> 208
   , 1_1(210) -> 14
   , 1_1(220) -> 219
   , 1_1(222) -> 1369
   , 1_1(223) -> 132
   , 1_1(226) -> 225
   , 1_1(234) -> 233
   , 1_1(245) -> 244
   , 1_1(246) -> 245
   , 1_1(247) -> 45
   , 1_1(257) -> 256
   , 1_1(258) -> 199
   , 1_1(266) -> 592
   , 1_1(269) -> 14
   , 1_1(273) -> 272
   , 1_1(274) -> 273
   , 1_1(278) -> 277
   , 1_1(279) -> 278
   , 1_1(285) -> 284
   , 1_1(289) -> 258
   , 1_1(290) -> 289
   , 1_1(312) -> 304
   , 1_1(341) -> 340
   , 1_1(343) -> 1388
   , 1_1(344) -> 978
   , 1_1(345) -> 30
   , 1_1(357) -> 356
   , 1_1(396) -> 395
   , 1_1(397) -> 14
   , 1_1(398) -> 397
   , 1_1(399) -> 398
   , 1_1(405) -> 404
   , 1_1(410) -> 409
   , 1_1(437) -> 435
   , 1_1(438) -> 700
   , 1_1(516) -> 511
   , 1_1(520) -> 1388
   , 1_1(527) -> 14
   , 1_1(530) -> 529
   , 1_1(532) -> 531
   , 1_1(547) -> 14
   , 1_1(551) -> 550
   , 1_1(577) -> 573
   , 1_1(587) -> 585
   , 1_1(592) -> 1655
   , 1_1(593) -> 592
   , 1_1(640) -> 636
   , 1_1(641) -> 640
   , 1_1(668) -> 667
   , 1_1(669) -> 668
   , 1_1(671) -> 670
   , 1_1(672) -> 671
   , 1_1(675) -> 674
   , 1_1(677) -> 14
   , 1_1(678) -> 677
   , 1_1(680) -> 679
   , 1_1(684) -> 683
   , 1_1(689) -> 247
   , 1_1(694) -> 693
   , 1_1(696) -> 695
   , 1_1(700) -> 699
   , 1_1(705) -> 702
   , 1_1(708) -> 707
   , 1_1(710) -> 709
   , 1_1(746) -> 745
   , 1_1(753) -> 752
   , 1_1(775) -> 774
   , 1_1(778) -> 1034
   , 1_1(782) -> 781
   , 1_1(792) -> 14
   , 1_1(865) -> 857
   , 1_1(880) -> 31
   , 1_1(884) -> 883
   , 1_1(935) -> 934
   , 1_1(939) -> 938
   , 1_1(961) -> 959
   , 1_1(999) -> 1630
   , 1_1(1000) -> 276
   , 1_1(1017) -> 1016
   , 1_1(1031) -> 1023
   , 1_1(1054) -> 1053
   , 1_1(1057) -> 1056
   , 1_1(1058) -> 1057
   , 1_1(1059) -> 1058
   , 1_1(1103) -> 14
   , 1_1(1105) -> 1104
   , 1_1(1107) -> 1106
   , 1_1(1109) -> 1108
   , 1_1(1112) -> 1111
   , 1_1(1125) -> 43
   , 1_1(1140) -> 1133
   , 1_1(1147) -> 105
   , 1_1(1153) -> 1149
   , 1_1(1154) -> 1153
   , 1_1(1157) -> 1156
   , 1_1(1158) -> 1157
   , 1_1(1173) -> 538
   , 1_1(1175) -> 1174
   , 1_1(1182) -> 1181
   , 1_1(1191) -> 1190
   , 1_1(1194) -> 1193
   , 1_1(1199) -> 1198
   , 1_1(1201) -> 1200
   , 1_1(1206) -> 1205
   , 1_1(1208) -> 1207
   , 1_1(1211) -> 14
   , 1_1(1213) -> 1212
   , 1_1(1228) -> 1227
   , 1_1(1237) -> 1236
   , 1_1(1249) -> 1247
   , 1_1(1254) -> 1253
   , 1_1(1256) -> 1255
   , 1_1(1291) -> 1211
   , 1_1(1296) -> 1295
   , 1_1(1315) -> 1308
   , 1_1(1324) -> 1317
   , 1_1(1325) -> 1407
   , 1_1(1364) -> 1363
   , 1_1(1366) -> 1365
   , 1_1(1372) -> 1371
   , 1_1(1374) -> 1373
   , 1_1(1375) -> 1374
   , 1_1(1378) -> 14
   , 1_1(1384) -> 1383
   , 1_1(1385) -> 1384
   , 1_1(1399) -> 223
   , 1_1(1401) -> 1400
   , 1_1(1432) -> 146
   , 1_1(1433) -> 1432
   , 1_1(1435) -> 1434
   , 1_1(1447) -> 14
   , 1_1(1448) -> 14
   , 1_1(1455) -> 1454
   , 1_1(1456) -> 1455
   , 1_1(1462) -> 1461
   , 1_1(1499) -> 1498
   , 1_1(1502) -> 1501
   , 1_1(1509) -> 1506
   , 1_1(1519) -> 1518
   , 1_1(1538) -> 1537
   , 1_1(1539) -> 1008
   , 1_1(1545) -> 1544
   , 1_1(1546) -> 1545
   , 1_1(1549) -> 1548
   , 1_1(1556) -> 1555
   , 1_1(1571) -> 1570
   , 1_1(1576) -> 1575
   , 1_1(1582) -> 1581
   , 1_1(1595) -> 1592
   , 1_1(1596) -> 1595
   , 1_1(1628) -> 1627
   , 1_1(1653) -> 1652
   , 1_1(1655) -> 1654
   , 1_1(1659) -> 1658
   , 1_1(1661) -> 1660
   , 1_1(1665) -> 1664
   , 1_1(1666) -> 1665
   , 1_1(1667) -> 1666
   , 1_1(1668) -> 1667
   , 1_1(1676) -> 1675
   , 1_1(1677) -> 1676
   , 1_1(1693) -> 1690}

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

Tool CDI

Execution Time	60.07748ms
Answer	TIMEOUT
Input	ICFP 2010 137623

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	61.604645ms
Answer	TIMEOUT
Input	ICFP 2010 137623

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool IDA

Execution Time	60.558147ms
Answer	TIMEOUT
Input	ICFP 2010 137623

stdout:

Tool TRI

Execution Time	60.32942ms
Answer	TIMEOUT
Input	ICFP 2010 137623