Problem ICFP 2010 132611

Tool Bounds

Execution Time	9.12945ms
Answer	YES(?,O(n^1))
Input	ICFP 2010 132611

stdout:

YES(?,O(n^1))

We consider the following Problem:

  Strict Trs:
    {  4(4(3(0(0(2(2(5(5(3(1(1(x1)))))))))))) ->
       5(5(4(4(0(4(2(5(4(2(4(1(4(1(1(x1)))))))))))))))
     , 4(3(3(2(0(1(1(2(0(1(5(5(x1)))))))))))) ->
       3(0(2(4(1(4(4(4(5(4(4(4(5(0(4(x1)))))))))))))))
     , 4(1(5(0(2(2(1(3(0(0(3(1(x1)))))))))))) ->
       4(5(4(1(4(1(4(4(5(5(4(4(3(4(4(3(2(4(x1))))))))))))))))))
     , 4(1(3(3(0(0(3(3(3(3(3(0(x1)))))))))))) ->
       4(0(2(1(4(0(5(1(0(4(2(4(5(2(x1))))))))))))))
     , 4(1(3(1(1(1(1(2(1(0(4(3(x1)))))))))))) ->
       0(5(4(2(4(4(5(4(2(4(0(0(4(4(4(4(5(x1)))))))))))))))))
     , 4(0(1(3(1(2(3(3(1(1(2(2(x1)))))))))))) ->
       1(4(5(3(0(1(4(3(2(4(1(5(3(4(0(x1)))))))))))))))
     , 4(0(0(3(1(3(5(0(3(3(2(4(x1)))))))))))) ->
       4(0(2(4(0(1(2(4(4(0(4(1(4(2(4(4(x1))))))))))))))))
     , 4(0(0(0(2(5(0(2(0(5(5(0(x1)))))))))))) ->
       4(5(3(4(3(4(2(4(4(3(0(4(1(2(5(x1)))))))))))))))
     , 3(5(5(0(2(3(5(0(5(0(4(0(x1)))))))))))) ->
       0(0(4(5(4(5(2(1(3(0(5(4(4(2(x1))))))))))))))
     , 3(5(1(2(1(0(3(2(2(2(0(1(x1)))))))))))) ->
       1(5(5(4(1(2(5(5(4(4(4(4(2(1(2(5(4(5(x1))))))))))))))))))
     , 3(3(2(3(0(1(3(3(5(1(1(2(x1)))))))))))) ->
       2(5(5(5(4(4(2(5(4(1(5(5(4(1(4(5(2(x1)))))))))))))))))
     , 3(3(1(2(5(1(2(0(5(5(0(0(x1)))))))))))) ->
       3(4(4(5(4(1(3(1(4(4(0(5(4(3(2(0(2(x1)))))))))))))))))
     , 3(3(1(2(3(0(2(0(3(0(1(0(x1)))))))))))) ->
       3(0(1(3(0(4(5(5(1(0(5(2(4(1(2(4(x1))))))))))))))))
     , 3(3(1(2(2(1(3(3(0(2(0(4(x1)))))))))))) ->
       2(5(4(3(1(4(4(4(0(4(2(3(0(2(x1))))))))))))))
     , 3(3(1(1(2(3(5(5(2(4(0(0(x1)))))))))))) ->
       0(1(5(5(4(5(5(2(4(4(4(1(2(5(4(5(4(x1)))))))))))))))))
     , 3(3(0(2(4(3(0(1(5(5(3(0(x1)))))))))))) ->
       5(1(4(3(4(5(3(4(4(0(1(3(1(4(0(x1)))))))))))))))
     , 3(2(2(5(1(5(0(3(4(2(4(3(x1)))))))))))) ->
       1(5(4(5(2(4(1(5(4(4(4(2(4(4(5(4(0(4(x1))))))))))))))))))
     , 3(2(0(0(3(0(2(3(1(3(3(2(x1)))))))))))) ->
       1(4(5(4(4(0(3(1(5(4(3(3(0(4(4(5(4(x1)))))))))))))))))
     , 3(1(5(0(0(1(0(4(2(1(5(3(x1)))))))))))) ->
       1(5(0(0(4(1(4(5(4(5(4(1(4(4(0(4(x1))))))))))))))))
     , 3(1(1(2(0(2(5(5(3(3(1(3(x1)))))))))))) ->
       4(2(1(5(1(5(4(0(3(3(0(4(2(4(x1))))))))))))))
     , 3(1(1(1(3(0(3(1(0(3(4(0(x1)))))))))))) ->
       0(5(3(1(4(4(1(5(5(5(5(4(1(5(x1))))))))))))))
     , 3(1(1(1(2(0(1(0(0(5(0(4(x1)))))))))))) ->
       5(0(1(5(5(5(0(1(5(4(4(3(2(0(4(x1)))))))))))))))
     , 3(1(0(5(1(1(3(0(5(1(2(1(x1)))))))))))) ->
       4(0(4(4(5(4(4(3(4(5(4(4(2(1(0(1(x1))))))))))))))))
     , 3(1(0(0(5(4(3(2(2(3(3(2(x1)))))))))))) ->
       5(2(1(4(1(5(3(3(4(4(0(5(2(5(1(x1)))))))))))))))
     , 3(0(3(3(4(0(5(1(3(2(3(1(x1)))))))))))) ->
       3(4(5(2(1(1(3(4(4(4(3(5(5(0(4(4(5(x1)))))))))))))))))
     , 3(0(3(0(0(3(0(3(5(1(3(2(x1)))))))))))) ->
       3(4(0(5(4(4(4(5(4(1(0(2(1(4(1(5(3(4(x1))))))))))))))))))
     , 3(0(2(3(3(0(5(3(4(5(0(0(x1)))))))))))) ->
       5(4(4(0(4(5(3(3(5(3(5(0(4(4(4(x1)))))))))))))))
     , 3(0(1(4(2(0(3(0(5(1(4(2(x1)))))))))))) ->
       0(5(4(5(2(1(5(5(4(3(5(4(5(5(4(3(2(x1)))))))))))))))))
     , 3(0(0(3(1(1(3(3(1(2(0(3(x1)))))))))))) ->
       5(0(1(4(5(3(0(5(0(0(4(4(2(4(4(2(5(3(x1))))))))))))))))))
     , 3(0(0(0(2(2(4(1(2(1(1(1(x1)))))))))))) ->
       4(0(5(2(5(4(3(2(5(4(3(5(4(2(5(4(3(x1)))))))))))))))))
     , 2(5(1(5(1(4(3(3(0(4(1(1(x1)))))))))))) ->
       4(3(5(5(5(3(1(3(4(0(3(5(4(2(x1))))))))))))))
     , 2(5(1(3(0(0(4(5(3(1(3(4(x1)))))))))))) ->
       0(4(1(5(4(0(5(4(0(2(4(0(1(2(x1))))))))))))))
     , 2(4(0(0(0(3(1(1(2(3(2(3(x1)))))))))))) ->
       0(0(3(5(4(2(5(4(3(3(4(4(1(0(3(x1)))))))))))))))
     , 2(3(3(2(4(3(0(2(3(3(5(1(x1)))))))))))) ->
       0(0(4(3(4(4(3(0(4(1(0(1(4(4(x1))))))))))))))
     , 2(3(3(1(1(0(0(2(2(1(2(5(x1)))))))))))) ->
       5(3(4(4(1(5(2(1(1(5(0(4(5(3(x1))))))))))))))
     , 2(3(2(2(3(2(0(3(4(5(2(1(x1)))))))))))) ->
       3(4(1(5(0(0(2(5(2(0(5(3(4(2(x1))))))))))))))
     , 2(3(2(1(2(3(1(5(5(2(3(0(x1)))))))))))) ->
       2(4(5(2(4(1(4(0(1(4(3(2(3(4(1(x1)))))))))))))))
     , 2(3(1(3(5(1(4(5(1(1(5(1(x1)))))))))))) ->
       5(0(4(0(4(1(0(4(1(5(5(3(4(4(3(x1)))))))))))))))
     , 2(3(1(2(1(1(2(0(4(5(1(3(x1)))))))))))) ->
       4(0(4(1(4(1(4(5(3(3(3(4(1(5(0(4(1(x1)))))))))))))))))
     , 2(3(1(1(3(0(3(0(4(0(5(3(x1)))))))))))) ->
       2(0(1(2(4(3(4(1(4(4(3(4(1(4(4(0(3(x1)))))))))))))))))
     , 2(3(0(2(0(3(0(0(3(2(2(3(x1)))))))))))) ->
       4(5(4(0(2(3(4(5(5(4(1(3(3(1(5(1(1(x1)))))))))))))))))
     , 2(2(3(5(0(2(2(2(3(3(2(2(x1)))))))))))) ->
       3(4(0(5(3(2(0(4(5(4(0(1(5(4(1(2(4(x1)))))))))))))))))
     , 2(2(3(4(3(3(5(1(2(4(2(2(x1)))))))))))) ->
       3(4(3(5(3(4(1(4(0(4(5(5(0(2(x1))))))))))))))
     , 2(2(3(0(4(2(3(1(1(0(4(5(x1)))))))))))) ->
       4(1(3(2(5(5(5(3(3(5(2(4(1(5(x1))))))))))))))
     , 2(2(2(4(1(1(0(1(1(1(4(0(x1)))))))))))) ->
       3(3(5(4(1(4(4(3(5(4(4(4(1(4(4(1(4(4(x1))))))))))))))))))
     , 2(2(2(0(4(2(0(1(3(1(2(2(x1)))))))))))) ->
       4(4(5(4(0(4(2(5(4(3(0(4(4(4(4(5(3(2(x1))))))))))))))))))
     , 2(2(2(0(3(1(0(2(5(0(0(1(x1)))))))))))) ->
       5(3(0(5(1(4(4(5(2(4(4(2(4(4(0(5(x1))))))))))))))))
     , 2(2(1(1(0(2(0(0(2(3(0(1(x1)))))))))))) ->
       5(4(1(1(4(3(5(5(0(1(4(3(5(4(1(1(4(x1)))))))))))))))))
     , 2(2(1(0(2(5(1(2(1(5(4(5(x1)))))))))))) ->
       4(4(3(5(4(5(4(0(2(2(0(1(3(4(4(3(5(x1)))))))))))))))))
     , 2(2(0(3(2(0(1(0(2(3(3(2(x1)))))))))))) ->
       5(5(5(0(2(2(4(1(4(4(3(3(0(0(2(x1)))))))))))))))
     , 2(1(5(1(1(5(0(2(5(1(3(0(x1)))))))))))) ->
       3(5(4(2(3(4(4(3(3(4(0(5(2(0(5(4(x1))))))))))))))))
     , 2(1(3(0(0(1(0(3(3(1(0(4(x1)))))))))))) ->
       4(4(5(3(3(4(2(3(5(4(2(4(4(5(3(3(x1))))))))))))))))
     , 2(1(1(0(0(5(5(0(0(2(5(5(x1)))))))))))) ->
       2(2(5(2(3(2(5(4(1(1(4(4(5(5(x1))))))))))))))
     , 2(1(0(2(2(1(1(3(1(1(1(3(x1)))))))))))) ->
       5(5(4(5(5(2(2(0(1(0(4(4(2(5(2(0(x1))))))))))))))))
     , 2(1(0(2(1(3(1(2(5(1(3(5(x1)))))))))))) ->
       2(5(1(3(5(1(4(4(3(1(0(1(4(5(x1))))))))))))))
     , 2(1(0(0(0(3(3(3(3(0(1(1(x1)))))))))))) ->
       5(3(2(2(4(2(2(4(0(4(5(3(4(2(5(x1)))))))))))))))
     , 2(0(3(3(2(2(3(1(2(3(0(3(x1)))))))))))) ->
       5(4(5(5(1(5(4(4(4(5(4(0(2(1(2(0(2(x1)))))))))))))))))
     , 2(0(3(2(2(0(2(2(3(0(0(1(x1)))))))))))) ->
       5(4(3(4(4(1(5(4(2(4(1(5(4(5(3(0(0(x1)))))))))))))))))
     , 2(0(2(4(5(1(2(2(5(3(5(0(x1)))))))))))) ->
       0(0(0(5(4(1(5(4(1(4(3(4(5(3(4(5(2(x1)))))))))))))))))
     , 1(5(3(3(4(0(3(1(1(2(1(0(x1)))))))))))) ->
       4(4(4(2(4(2(2(4(4(5(4(5(4(0(0(5(2(x1)))))))))))))))))
     , 1(5(2(2(1(1(5(0(3(3(0(4(x1)))))))))))) ->
       4(2(4(5(4(5(4(3(5(5(4(4(4(1(1(2(x1))))))))))))))))
     , 1(5(1(1(1(5(1(3(2(3(1(5(x1)))))))))))) ->
       1(3(4(4(4(5(3(3(3(5(2(1(5(4(1(5(2(5(x1))))))))))))))))))
     , 1(3(3(1(0(0(0(2(5(1(1(1(x1)))))))))))) ->
       2(1(2(4(4(4(4(1(2(1(3(5(4(5(0(5(2(x1)))))))))))))))))
     , 1(3(1(2(0(2(0(3(3(1(1(1(x1)))))))))))) ->
       1(5(4(4(5(4(4(4(3(0(1(5(4(1(x1))))))))))))))
     , 1(3(1(1(3(0(3(3(3(5(1(5(x1)))))))))))) ->
       5(3(3(3(4(4(2(5(0(0(4(4(4(1(1(x1)))))))))))))))
     , 1(3(0(0(2(3(0(4(2(0(2(5(x1)))))))))))) ->
       0(2(1(4(2(1(4(5(0(5(5(4(5(5(4(1(4(5(x1))))))))))))))))))
     , 1(2(5(0(2(3(0(0(2(0(5(2(x1)))))))))))) ->
       5(2(2(1(4(0(4(5(4(1(0(1(5(4(1(3(5(4(x1))))))))))))))))))
     , 1(2(2(2(3(2(0(2(5(3(5(3(x1)))))))))))) ->
       1(4(0(5(3(3(5(3(3(4(3(4(2(1(x1))))))))))))))
     , 1(2(1(1(3(0(2(2(4(1(1(3(x1)))))))))))) ->
       1(4(5(4(1(1(5(1(1(2(5(4(1(1(3(4(x1))))))))))))))))
     , 1(1(1(3(1(2(2(4(3(0(0(2(x1)))))))))))) ->
       5(2(4(3(4(4(1(1(3(1(4(5(2(4(0(2(x1))))))))))))))))
     , 1(1(0(2(3(2(2(2(0(5(1(4(x1)))))))))))) ->
       4(4(4(1(4(4(4(4(5(5(2(1(4(3(0(5(4(2(x1))))))))))))))))))
     , 1(1(0(0(5(2(3(2(1(1(0(5(x1)))))))))))) ->
       5(4(5(4(0(1(2(1(2(3(3(0(4(1(x1))))))))))))))
     , 1(0(3(3(2(2(1(1(0(2(3(1(x1)))))))))))) ->
       2(4(3(4(4(1(4(5(1(5(1(0(5(4(3(x1)))))))))))))))
     , 1(0(3(2(0(2(2(2(1(2(3(2(x1)))))))))))) ->
       3(3(2(4(4(0(3(4(0(1(4(5(2(2(4(x1)))))))))))))))
     , 1(0(2(2(5(1(3(1(3(3(2(5(x1)))))))))))) ->
       3(5(3(5(0(5(2(3(0(2(4(0(2(3(4(x1)))))))))))))))
     , 1(0(2(0(3(3(3(3(3(4(3(3(x1)))))))))))) ->
       5(1(5(3(1(4(4(5(3(1(5(4(5(4(4(1(2(x1)))))))))))))))))
     , 1(0(0(2(4(2(2(2(2(4(2(0(x1)))))))))))) ->
       5(1(5(3(5(4(5(0(3(3(4(1(4(4(x1))))))))))))))
     , 1(0(0(1(3(3(3(2(0(3(0(4(x1)))))))))))) ->
       4(4(3(0(4(5(0(5(4(4(0(4(0(0(x1))))))))))))))
     , 0(5(3(1(3(2(5(2(0(0(2(1(x1)))))))))))) ->
       0(4(4(5(4(3(5(2(5(5(2(5(4(5(5(4(5(x1)))))))))))))))))
     , 0(4(3(3(2(2(3(4(5(3(2(1(x1)))))))))))) ->
       0(5(4(1(4(4(4(3(5(4(5(2(4(4(2(2(1(x1)))))))))))))))))
     , 0(3(5(2(1(3(0(3(2(3(1(0(x1)))))))))))) ->
       5(2(5(3(1(3(4(0(4(0(0(4(4(3(2(x1)))))))))))))))
     , 0(3(5(1(0(3(1(1(1(0(2(2(x1)))))))))))) ->
       4(3(4(4(0(3(2(1(2(4(2(5(5(5(4(5(4(4(x1))))))))))))))))))
     , 0(3(3(1(3(0(4(2(2(3(1(0(x1)))))))))))) ->
       5(5(4(5(3(3(4(5(4(5(0(1(0(3(0(1(x1))))))))))))))))
     , 0(2(5(5(0(3(0(3(2(2(0(1(x1)))))))))))) ->
       0(4(5(2(4(2(5(4(1(2(2(2(0(5(4(1(x1))))))))))))))))
     , 0(2(5(1(5(0(2(0(2(3(2(0(x1)))))))))))) ->
       5(2(3(4(4(1(4(5(4(5(0(0(1(4(5(5(1(1(x1))))))))))))))))))
     , 0(2(3(3(1(0(5(2(2(0(0(0(x1)))))))))))) ->
       1(1(4(5(3(5(2(2(3(1(4(5(4(4(3(x1)))))))))))))))
     , 0(2(2(2(2(0(4(0(2(3(5(1(x1)))))))))))) ->
       3(2(1(4(5(2(5(5(4(4(5(5(0(0(4(1(x1))))))))))))))))
     , 0(2(2(0(1(1(0(1(3(0(3(5(x1)))))))))))) ->
       4(2(1(3(3(4(5(2(5(4(5(5(4(4(2(3(4(1(x1))))))))))))))))))
     , 0(2(0(1(1(1(1(2(5(1(2(2(x1)))))))))))) ->
       5(3(3(0(3(2(4(4(2(3(4(1(5(4(4(4(0(4(x1))))))))))))))))))
     , 0(1(5(1(5(1(2(4(5(2(0(0(x1)))))))))))) ->
       3(4(4(5(5(5(4(1(0(3(4(0(4(5(4(5(3(x1)))))))))))))))))
     , 0(1(4(0(3(2(2(2(4(2(2(3(x1)))))))))))) ->
       4(4(4(4(4(1(3(1(5(5(4(4(1(3(4(4(x1))))))))))))))))
     , 0(1(3(1(3(3(1(1(0(5(1(0(x1)))))))))))) ->
       4(4(3(5(2(1(5(2(5(4(3(4(1(3(5(4(x1))))))))))))))))
     , 0(1(2(3(2(3(5(1(3(3(5(3(x1)))))))))))) ->
       0(4(5(0(4(2(4(1(4(4(4(5(5(1(5(x1)))))))))))))))
     , 0(1(0(1(3(5(0(2(0(5(0(4(x1)))))))))))) ->
       0(1(4(4(5(4(1(4(3(0(0(1(5(2(5(4(4(4(x1))))))))))))))))))
     , 0(0(2(2(1(1(2(3(1(5(1(2(x1)))))))))))) ->
       0(5(4(5(4(4(5(2(0(0(5(5(4(0(2(4(5(1(x1))))))))))))))))))
     , 0(0(2(0(1(1(1(1(3(3(2(3(x1)))))))))))) ->
       3(2(4(0(0(5(4(4(0(4(4(4(1(3(1(4(5(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:
  {  3_0(1) -> 1
   , 3_1(1) -> 342
   , 3_1(2) -> 342
   , 3_1(16) -> 1
   , 3_1(16) -> 15
   , 3_1(16) -> 29
   , 3_1(16) -> 57
   , 3_1(16) -> 87
   , 3_1(16) -> 161
   , 3_1(16) -> 280
   , 3_1(16) -> 281
   , 3_1(16) -> 282
   , 3_1(16) -> 341
   , 3_1(16) -> 342
   , 3_1(16) -> 397
   , 3_1(16) -> 496
   , 3_1(16) -> 781
   , 3_1(16) -> 784
   , 3_1(16) -> 827
   , 3_1(16) -> 953
   , 3_1(16) -> 1208
   , 3_1(16) -> 1255
   , 3_1(28) -> 1383
   , 3_1(29) -> 319
   , 3_1(30) -> 342
   , 3_1(42) -> 41
   , 3_1(45) -> 44
   , 3_1(55) -> 964
   , 3_1(57) -> 342
   , 3_1(58) -> 342
   , 3_1(73) -> 694
   , 3_1(74) -> 342
   , 3_1(77) -> 76
   , 3_1(81) -> 80
   , 3_1(86) -> 85
   , 3_1(98) -> 1864
   , 3_1(99) -> 31
   , 3_1(101) -> 100
   , 3_1(106) -> 105
   , 3_1(110) -> 342
   , 3_1(117) -> 116
   , 3_1(120) -> 426
   , 3_1(135) -> 342
   , 3_1(136) -> 342
   , 3_1(153) -> 152
   , 3_1(160) -> 159
   , 3_1(161) -> 181
   , 3_1(162) -> 342
   , 3_1(163) -> 162
   , 3_1(174) -> 173
   , 3_1(182) -> 342
   , 3_1(195) -> 1245
   , 3_1(196) -> 342
   , 3_1(198) -> 197
   , 3_1(201) -> 200
   , 3_1(206) -> 205
   , 3_1(207) -> 342
   , 3_1(223) -> 222
   , 3_1(227) -> 226
   , 3_1(228) -> 227
   , 3_1(247) -> 246
   , 3_1(248) -> 247
   , 3_1(250) -> 59
   , 3_1(270) -> 269
   , 3_1(276) -> 275
   , 3_1(282) -> 1687
   , 3_1(288) -> 287
   , 3_1(289) -> 288
   , 3_1(299) -> 298
   , 3_1(303) -> 302
   , 3_1(320) -> 342
   , 3_1(325) -> 324
   , 3_1(326) -> 325
   , 3_1(328) -> 327
   , 3_1(337) -> 336
   , 3_1(342) -> 827
   , 3_1(345) -> 344
   , 3_1(353) -> 929
   , 3_1(360) -> 359
   , 3_1(364) -> 363
   , 3_1(367) -> 30
   , 3_1(371) -> 370
   , 3_1(373) -> 372
   , 3_1(376) -> 375
   , 3_1(377) -> 342
   , 3_1(378) -> 16
   , 3_1(388) -> 110
   , 3_1(394) -> 393
   , 3_1(395) -> 394
   , 3_1(399) -> 111
   , 3_1(402) -> 401
   , 3_1(404) -> 917
   , 3_1(406) -> 2
   , 3_1(416) -> 342
   , 3_1(496) -> 495
   , 3_1(498) -> 497
   , 3_1(508) -> 507
   , 3_1(514) -> 513
   , 3_1(515) -> 514
   , 3_1(516) -> 515
   , 3_1(519) -> 1383
   , 3_1(521) -> 342
   , 3_1(524) -> 523
   , 3_1(529) -> 528
   , 3_1(531) -> 1864
   , 3_1(535) -> 534
   , 3_1(541) -> 540
   , 3_1(542) -> 541
   , 3_1(546) -> 307
   , 3_1(572) -> 74
   , 3_1(576) -> 575
   , 3_1(600) -> 599
   , 3_1(605) -> 604
   , 3_1(606) -> 605
   , 3_1(608) -> 16
   , 3_1(614) -> 613
   , 3_1(620) -> 1429
   , 3_1(629) -> 628
   , 3_1(648) -> 647
   , 3_1(654) -> 653
   , 3_1(658) -> 621
   , 3_1(674) -> 673
   , 3_1(783) -> 782
   , 3_1(784) -> 783
   , 3_1(788) -> 787
   , 3_1(791) -> 790
   , 3_1(792) -> 791
   , 3_1(797) -> 622
   , 3_1(798) -> 797
   , 3_1(801) -> 800
   , 3_1(893) -> 892
   , 3_1(911) -> 269
   , 3_1(913) -> 912
   , 3_1(918) -> 917
   , 3_1(920) -> 1979
   , 3_1(941) -> 320
   , 3_1(952) -> 782
   , 3_1(953) -> 952
   , 3_1(954) -> 342
   , 3_1(962) -> 961
   , 3_1(1010) -> 1009
   , 3_1(1182) -> 1181
   , 3_1(1183) -> 1182
   , 3_1(1184) -> 1183
   , 3_1(1191) -> 16
   , 3_1(1200) -> 1199
   , 3_1(1208) -> 1207
   , 3_1(1211) -> 406
   , 3_1(1212) -> 1211
   , 3_1(1243) -> 1934
   , 3_1(1248) -> 1247
   , 3_1(1249) -> 1248
   , 3_1(1251) -> 1250
   , 3_1(1252) -> 1251
   , 3_1(1254) -> 1253
   , 3_1(1266) -> 1265
   , 3_1(1271) -> 1270
   , 3_1(1292) -> 1291
   , 3_1(1383) -> 1382
   , 3_1(1384) -> 487
   , 3_1(1397) -> 1396
   , 3_1(1403) -> 785
   , 3_1(1408) -> 1407
   , 3_1(1414) -> 1413
   , 3_1(1419) -> 1418
   , 3_1(1429) -> 1428
   , 3_1(1581) -> 1580
   , 3_1(1593) -> 1592
   , 3_1(1601) -> 1600
   , 3_1(1603) -> 1602
   , 3_1(1612) -> 1611
   , 3_1(1679) -> 901
   , 3_1(1680) -> 1679
   , 3_1(1698) -> 283
   , 3_1(1712) -> 1711
   , 3_1(1716) -> 1715
   , 3_1(1732) -> 241
   , 3_1(1733) -> 1732
   , 3_1(1797) -> 1796
   , 3_1(1802) -> 1801
   , 3_1(1820) -> 1819
   , 3_1(1858) -> 1857
   , 3_1(1952) -> 1951
   , 2_0(1) -> 1
   , 2_1(1) -> 57
   , 2_1(2) -> 57
   , 2_1(8) -> 7
   , 2_1(11) -> 10
   , 2_1(15) -> 1255
   , 2_1(16) -> 57
   , 2_1(17) -> 57
   , 2_1(18) -> 17
   , 2_1(28) -> 270
   , 2_1(29) -> 45
   , 2_1(30) -> 57
   , 2_1(45) -> 1402
   , 2_1(46) -> 57
   , 2_1(47) -> 46
   , 2_1(55) -> 54
   , 2_1(57) -> 280
   , 2_1(58) -> 57
   , 2_1(59) -> 57
   , 2_1(60) -> 57
   , 2_1(61) -> 60
   , 2_1(66) -> 65
   , 2_1(73) -> 109
   , 2_1(74) -> 57
   , 2_1(75) -> 57
   , 2_1(82) -> 81
   , 2_1(86) -> 45
   , 2_1(87) -> 911
   , 2_1(91) -> 90
   , 2_1(98) -> 97
   , 2_1(103) -> 102
   , 2_1(110) -> 57
   , 2_1(115) -> 114
   , 2_1(119) -> 1596
   , 2_1(125) -> 124
   , 2_1(132) -> 131
   , 2_1(134) -> 133
   , 2_1(135) -> 1
   , 2_1(135) -> 15
   , 2_1(135) -> 57
   , 2_1(135) -> 280
   , 2_1(135) -> 281
   , 2_1(135) -> 342
   , 2_1(135) -> 397
   , 2_1(135) -> 496
   , 2_1(135) -> 827
   , 2_1(135) -> 1255
   , 2_1(141) -> 140
   , 2_1(148) -> 57
   , 2_1(161) -> 160
   , 2_1(162) -> 57
   , 2_1(171) -> 170
   , 2_1(181) -> 180
   , 2_1(182) -> 57
   , 2_1(188) -> 187
   , 2_1(193) -> 192
   , 2_1(195) -> 133
   , 2_1(196) -> 57
   , 2_1(197) -> 57
   , 2_1(209) -> 208
   , 2_1(216) -> 215
   , 2_1(240) -> 30
   , 2_1(250) -> 57
   , 2_1(258) -> 607
   , 2_1(260) -> 57
   , 2_1(278) -> 1596
   , 2_1(281) -> 280
   , 2_1(283) -> 2
   , 2_1(284) -> 57
   , 2_1(294) -> 293
   , 2_1(296) -> 295
   , 2_1(297) -> 57
   , 2_1(315) -> 314
   , 2_1(319) -> 1412
   , 2_1(320) -> 57
   , 2_1(332) -> 331
   , 2_1(340) -> 366
   , 2_1(342) -> 496
   , 2_1(352) -> 351
   , 2_1(355) -> 354
   , 2_1(357) -> 356
   , 2_1(361) -> 360
   , 2_1(377) -> 57
   , 2_1(378) -> 57
   , 2_1(385) -> 384
   , 2_1(391) -> 390
   , 2_1(406) -> 57
   , 2_1(411) -> 410
   , 2_1(416) -> 57
   , 2_1(422) -> 421
   , 2_1(424) -> 423
   , 2_1(487) -> 57
   , 2_1(489) -> 488
   , 2_1(497) -> 496
   , 2_1(498) -> 607
   , 2_1(500) -> 57
   , 2_1(520) -> 57
   , 2_1(521) -> 57
   , 2_1(522) -> 521
   , 2_1(534) -> 533
   , 2_1(547) -> 546
   , 2_1(601) -> 600
   , 2_1(608) -> 57
   , 2_1(626) -> 625
   , 2_1(639) -> 638
   , 2_1(642) -> 641
   , 2_1(644) -> 795
   , 2_1(646) -> 57
   , 2_1(670) -> 669
   , 2_1(671) -> 670
   , 2_1(777) -> 776
   , 2_1(778) -> 777
   , 2_1(787) -> 786
   , 2_1(795) -> 1695
   , 2_1(796) -> 795
   , 2_1(800) -> 799
   , 2_1(804) -> 803
   , 2_1(890) -> 135
   , 2_1(892) -> 891
   , 2_1(894) -> 893
   , 2_1(903) -> 902
   , 2_1(904) -> 903
   , 2_1(910) -> 909
   , 2_1(921) -> 406
   , 2_1(922) -> 921
   , 2_1(924) -> 923
   , 2_1(925) -> 924
   , 2_1(940) -> 939
   , 2_1(947) -> 946
   , 2_1(966) -> 965
   , 2_1(968) -> 967
   , 2_1(969) -> 968
   , 2_1(1178) -> 57
   , 2_1(1186) -> 1185
   , 2_1(1191) -> 57
   , 2_1(1192) -> 1191
   , 2_1(1198) -> 1197
   , 2_1(1215) -> 1214
   , 2_1(1220) -> 58
   , 2_1(1223) -> 1222
   , 2_1(1232) -> 10
   , 2_1(1233) -> 283
   , 2_1(1246) -> 57
   , 2_1(1255) -> 1599
   , 2_1(1261) -> 1260
   , 2_1(1275) -> 1274
   , 2_1(1289) -> 1288
   , 2_1(1380) -> 1379
   , 2_1(1382) -> 1381
   , 2_1(1393) -> 608
   , 2_1(1407) -> 1406
   , 2_1(1410) -> 1409
   , 2_1(1578) -> 57
   , 2_1(1583) -> 1582
   , 2_1(1586) -> 1585
   , 2_1(1597) -> 1596
   , 2_1(1613) -> 1612
   , 2_1(1615) -> 1614
   , 2_1(1617) -> 1616
   , 2_1(1621) -> 1956
   , 2_1(1689) -> 1688
   , 2_1(1691) -> 1690
   , 2_1(1695) -> 1694
   , 2_1(1696) -> 1695
   , 2_1(1697) -> 1696
   , 2_1(1714) -> 1713
   , 2_1(1715) -> 1714
   , 2_1(1719) -> 16
   , 2_1(1723) -> 1722
   , 2_1(1742) -> 1741
   , 2_1(1798) -> 1797
   , 2_1(1801) -> 1800
   , 2_1(1913) -> 659
   , 2_1(1916) -> 1915
   , 2_1(1939) -> 1938
   , 2_1(1957) -> 1956
   , 2_1(1961) -> 1960
   , 2_1(1968) -> 1967
   , 1_0(1) -> 1
   , 1_1(1) -> 15
   , 1_1(2) -> 15
   , 1_1(13) -> 12
   , 1_1(15) -> 14
   , 1_1(16) -> 15
   , 1_1(17) -> 15
   , 1_1(20) -> 19
   , 1_1(29) -> 657
   , 1_1(30) -> 15
   , 1_1(33) -> 32
   , 1_1(35) -> 34
   , 1_1(45) -> 172
   , 1_1(48) -> 47
   , 1_1(52) -> 51
   , 1_1(55) -> 147
   , 1_1(56) -> 1189
   , 1_1(57) -> 387
   , 1_1(58) -> 15
   , 1_1(59) -> 15
   , 1_1(71) -> 206
   , 1_1(72) -> 920
   , 1_1(73) -> 259
   , 1_1(74) -> 1
   , 1_1(74) -> 15
   , 1_1(74) -> 29
   , 1_1(74) -> 86
   , 1_1(74) -> 87
   , 1_1(74) -> 161
   , 1_1(74) -> 259
   , 1_1(74) -> 269
   , 1_1(74) -> 342
   , 1_1(74) -> 387
   , 1_1(74) -> 542
   , 1_1(74) -> 694
   , 1_1(79) -> 78
   , 1_1(84) -> 83
   , 1_1(85) -> 1264
   , 1_1(86) -> 206
   , 1_1(87) -> 281
   , 1_1(90) -> 89
   , 1_1(96) -> 95
   , 1_1(98) -> 206
   , 1_1(109) -> 108
   , 1_1(116) -> 115
   , 1_1(121) -> 15
   , 1_1(124) -> 123
   , 1_1(133) -> 132
   , 1_1(135) -> 15
   , 1_1(144) -> 143
   , 1_1(152) -> 151
   , 1_1(154) -> 153
   , 1_1(160) -> 940
   , 1_1(162) -> 17
   , 1_1(168) -> 167
   , 1_1(175) -> 174
   , 1_1(182) -> 58
   , 1_1(192) -> 191
   , 1_1(195) -> 259
   , 1_1(196) -> 2
   , 1_1(205) -> 204
   , 1_1(206) -> 896
   , 1_1(211) -> 210
   , 1_1(224) -> 223
   , 1_1(233) -> 232
   , 1_1(239) -> 238
   , 1_1(241) -> 240
   , 1_1(243) -> 242
   , 1_1(249) -> 95
   , 1_1(251) -> 250
   , 1_1(254) -> 253
   , 1_1(261) -> 260
   , 1_1(266) -> 265
   , 1_1(282) -> 281
   , 1_1(284) -> 283
   , 1_1(286) -> 285
   , 1_1(297) -> 296
   , 1_1(298) -> 297
   , 1_1(313) -> 312
   , 1_1(316) -> 315
   , 1_1(318) -> 317
   , 1_1(319) -> 1264
   , 1_1(333) -> 332
   , 1_1(372) -> 371
   , 1_1(377) -> 1
   , 1_1(378) -> 377
   , 1_1(387) -> 1031
   , 1_1(398) -> 397
   , 1_1(405) -> 404
   , 1_1(406) -> 15
   , 1_1(409) -> 408
   , 1_1(412) -> 411
   , 1_1(413) -> 412
   , 1_1(416) -> 74
   , 1_1(491) -> 490
   , 1_1(494) -> 493
   , 1_1(498) -> 12
   , 1_1(502) -> 501
   , 1_1(505) -> 504
   , 1_1(507) -> 672
   , 1_1(509) -> 271
   , 1_1(511) -> 510
   , 1_1(518) -> 517
   , 1_1(520) -> 15
   , 1_1(521) -> 520
   , 1_1(526) -> 525
   , 1_1(531) -> 530
   , 1_1(540) -> 539
   , 1_1(543) -> 542
   , 1_1(561) -> 560
   , 1_1(572) -> 15
   , 1_1(582) -> 581
   , 1_1(599) -> 30
   , 1_1(611) -> 610
   , 1_1(619) -> 618
   , 1_1(632) -> 897
   , 1_1(635) -> 634
   , 1_1(645) -> 320
   , 1_1(646) -> 645
   , 1_1(652) -> 651
   , 1_1(657) -> 656
   , 1_1(673) -> 672
   , 1_1(780) -> 779
   , 1_1(785) -> 15
   , 1_1(890) -> 15
   , 1_1(897) -> 896
   , 1_1(898) -> 897
   , 1_1(906) -> 905
   , 1_1(912) -> 136
   , 1_1(915) -> 914
   , 1_1(919) -> 918
   , 1_1(932) -> 931
   , 1_1(944) -> 943
   , 1_1(949) -> 948
   , 1_1(957) -> 956
   , 1_1(960) -> 959
   , 1_1(1187) -> 1186
   , 1_1(1190) -> 1189
   , 1_1(1191) -> 135
   , 1_1(1192) -> 15
   , 1_1(1197) -> 1196
   , 1_1(1199) -> 1198
   , 1_1(1210) -> 1209
   , 1_1(1221) -> 1220
   , 1_1(1224) -> 1223
   , 1_1(1234) -> 1233
   , 1_1(1240) -> 1239
   , 1_1(1242) -> 1241
   , 1_1(1245) -> 1244
   , 1_1(1256) -> 220
   , 1_1(1257) -> 1256
   , 1_1(1259) -> 1258
   , 1_1(1260) -> 1259
   , 1_1(1264) -> 1263
   , 1_1(1269) -> 1268
   , 1_1(1270) -> 1269
   , 1_1(1272) -> 1271
   , 1_1(1276) -> 965
   , 1_1(1290) -> 1289
   , 1_1(1379) -> 1378
   , 1_1(1381) -> 1380
   , 1_1(1387) -> 1386
   , 1_1(1390) -> 1389
   , 1_1(1392) -> 1391
   , 1_1(1393) -> 15
   , 1_1(1400) -> 1399
   , 1_1(1403) -> 15
   , 1_1(1413) -> 15
   , 1_1(1415) -> 1414
   , 1_1(1420) -> 1419
   , 1_1(1589) -> 60
   , 1_1(1602) -> 1601
   , 1_1(1614) -> 1613
   , 1_1(1686) -> 1685
   , 1_1(1688) -> 15
   , 1_1(1694) -> 1693
   , 1_1(1701) -> 1700
   , 1_1(1708) -> 1707
   , 1_1(1717) -> 1716
   , 1_1(1718) -> 265
   , 1_1(1719) -> 15
   , 1_1(1720) -> 1719
   , 1_1(1804) -> 1803
   , 1_1(1818) -> 1817
   , 1_1(1857) -> 1856
   , 1_1(1859) -> 1858
   , 1_1(1864) -> 1863
   , 1_1(1914) -> 1913
   , 1_1(1941) -> 1940
   , 1_1(1950) -> 1949
   , 1_1(1955) -> 1954
   , 1_1(1979) -> 1978
   , 0_0(1) -> 1
   , 0_1(1) -> 87
   , 0_1(2) -> 16
   , 0_1(6) -> 5
   , 0_1(15) -> 282
   , 0_1(16) -> 87
   , 0_1(17) -> 16
   , 0_1(28) -> 1729
   , 0_1(29) -> 28
   , 0_1(30) -> 87
   , 0_1(46) -> 30
   , 0_1(50) -> 49
   , 0_1(53) -> 52
   , 0_1(56) -> 988
   , 0_1(57) -> 161
   , 0_1(58) -> 1
   , 0_1(58) -> 15
   , 0_1(58) -> 28
   , 0_1(58) -> 29
   , 0_1(58) -> 45
   , 0_1(58) -> 57
   , 0_1(58) -> 87
   , 0_1(58) -> 109
   , 0_1(58) -> 160
   , 0_1(58) -> 161
   , 0_1(58) -> 282
   , 0_1(58) -> 293
   , 0_1(58) -> 342
   , 0_1(58) -> 386
   , 0_1(58) -> 496
   , 0_1(58) -> 498
   , 0_1(58) -> 644
   , 0_1(58) -> 694
   , 0_1(58) -> 784
   , 0_1(58) -> 827
   , 0_1(58) -> 911
   , 0_1(58) -> 953
   , 0_1(58) -> 1687
   , 0_1(59) -> 16
   , 0_1(60) -> 87
   , 0_1(68) -> 67
   , 0_1(69) -> 68
   , 0_1(71) -> 305
   , 0_1(72) -> 414
   , 0_1(73) -> 644
   , 0_1(74) -> 87
   , 0_1(78) -> 77
   , 0_1(86) -> 28
   , 0_1(87) -> 953
   , 0_1(89) -> 88
   , 0_1(94) -> 93
   , 0_1(98) -> 305
   , 0_1(107) -> 106
   , 0_1(110) -> 58
   , 0_1(118) -> 117
   , 0_1(135) -> 16
   , 0_1(157) -> 156
   , 0_1(161) -> 784
   , 0_1(162) -> 87
   , 0_1(164) -> 163
   , 0_1(169) -> 168
   , 0_1(179) -> 178
   , 0_1(182) -> 87
   , 0_1(195) -> 796
   , 0_1(204) -> 203
   , 0_1(206) -> 405
   , 0_1(222) -> 221
   , 0_1(229) -> 228
   , 0_1(230) -> 121
   , 0_1(231) -> 230
   , 0_1(246) -> 245
   , 0_1(249) -> 248
   , 0_1(259) -> 1208
   , 0_1(260) -> 2
   , 0_1(261) -> 87
   , 0_1(265) -> 264
   , 0_1(292) -> 291
   , 0_1(306) -> 148
   , 0_1(314) -> 313
   , 0_1(320) -> 87
   , 0_1(322) -> 321
   , 0_1(329) -> 1216
   , 0_1(330) -> 329
   , 0_1(340) -> 1392
   , 0_1(342) -> 398
   , 0_1(346) -> 345
   , 0_1(348) -> 347
   , 0_1(349) -> 348
   , 0_1(375) -> 374
   , 0_1(376) -> 1292
   , 0_1(377) -> 87
   , 0_1(381) -> 380
   , 0_1(384) -> 383
   , 0_1(387) -> 386
   , 0_1(403) -> 402
   , 0_1(415) -> 414
   , 0_1(420) -> 419
   , 0_1(421) -> 420
   , 0_1(425) -> 424
   , 0_1(487) -> 46
   , 0_1(493) -> 492
   , 0_1(498) -> 519
   , 0_1(500) -> 499
   , 0_1(503) -> 502
   , 0_1(508) -> 1607
   , 0_1(519) -> 1729
   , 0_1(520) -> 135
   , 0_1(521) -> 58
   , 0_1(533) -> 32
   , 0_1(548) -> 547
   , 0_1(560) -> 559
   , 0_1(572) -> 87
   , 0_1(588) -> 587
   , 0_1(608) -> 58
   , 0_1(624) -> 623
   , 0_1(630) -> 629
   , 0_1(633) -> 406
   , 0_1(651) -> 650
   , 0_1(657) -> 919
   , 0_1(669) -> 668
   , 0_1(672) -> 671
   , 0_1(776) -> 775
   , 0_1(794) -> 793
   , 0_1(890) -> 16
   , 0_1(899) -> 587
   , 0_1(905) -> 904
   , 0_1(907) -> 906
   , 0_1(920) -> 919
   , 0_1(927) -> 926
   , 0_1(939) -> 938
   , 0_1(954) -> 110
   , 0_1(988) -> 987
   , 0_1(1191) -> 46
   , 0_1(1209) -> 1208
   , 0_1(1210) -> 1697
   , 0_1(1217) -> 1216
   , 0_1(1218) -> 1217
   , 0_1(1227) -> 1226
   , 0_1(1236) -> 1235
   , 0_1(1241) -> 1240
   , 0_1(1246) -> 75
   , 0_1(1378) -> 1377
   , 0_1(1396) -> 1395
   , 0_1(1399) -> 1398
   , 0_1(1405) -> 1404
   , 0_1(1409) -> 1408
   , 0_1(1412) -> 1411
   , 0_1(1428) -> 1427
   , 0_1(1430) -> 658
   , 0_1(1439) -> 1438
   , 0_1(1451) -> 1450
   , 0_1(1605) -> 1604
   , 0_1(1607) -> 1606
   , 0_1(1611) -> 1610
   , 0_1(1685) -> 1684
   , 0_1(1687) -> 1686
   , 0_1(1706) -> 1705
   , 0_1(1707) -> 1706
   , 0_1(1796) -> 1211
   , 0_1(1819) -> 1818
   , 0_1(1822) -> 1821
   , 0_1(1937) -> 1688
   , 0_1(1953) -> 1952
   , 0_1(1954) -> 1953
   , 0_1(1962) -> 1961
   , 0_1(1963) -> 1962
   , 0_1(1967) -> 1966
   , 0_1(1970) -> 1969
   , 0_1(1971) -> 1970
   , 0_1(1975) -> 1974
   , 5_0(1) -> 1
   , 5_1(1) -> 73
   , 5_1(2) -> 1
   , 5_1(2) -> 14
   , 5_1(2) -> 15
   , 5_1(2) -> 29
   , 5_1(2) -> 57
   , 5_1(2) -> 87
   , 5_1(2) -> 98
   , 5_1(2) -> 108
   , 5_1(2) -> 161
   , 5_1(2) -> 181
   , 5_1(2) -> 280
   , 5_1(2) -> 281
   , 5_1(2) -> 342
   , 5_1(2) -> 387
   , 5_1(2) -> 398
   , 5_1(2) -> 496
   , 5_1(2) -> 508
   , 5_1(2) -> 827
   , 5_1(2) -> 911
   , 5_1(2) -> 952
   , 5_1(2) -> 1255
   , 5_1(2) -> 1599
   , 5_1(3) -> 2
   , 5_1(9) -> 8
   , 5_1(13) -> 654
   , 5_1(14) -> 543
   , 5_1(15) -> 294
   , 5_1(16) -> 73
   , 5_1(24) -> 23
   , 5_1(28) -> 27
   , 5_1(29) -> 195
   , 5_1(31) -> 30
   , 5_1(38) -> 37
   , 5_1(39) -> 38
   , 5_1(45) -> 606
   , 5_1(46) -> 73
   , 5_1(51) -> 50
   , 5_1(55) -> 193
   , 5_1(57) -> 56
   , 5_1(58) -> 73
   , 5_1(59) -> 58
   , 5_1(64) -> 63
   , 5_1(72) -> 134
   , 5_1(73) -> 900
   , 5_1(74) -> 73
   , 5_1(76) -> 75
   , 5_1(85) -> 84
   , 5_1(86) -> 340
   , 5_1(98) -> 1621
   , 5_1(109) -> 1190
   , 5_1(112) -> 111
   , 5_1(114) -> 113
   , 5_1(119) -> 118
   , 5_1(120) -> 376
   , 5_1(121) -> 74
   , 5_1(122) -> 121
   , 5_1(126) -> 125
   , 5_1(127) -> 126
   , 5_1(134) -> 1588
   , 5_1(135) -> 56
   , 5_1(136) -> 135
   , 5_1(137) -> 136
   , 5_1(138) -> 137
   , 5_1(142) -> 141
   , 5_1(145) -> 144
   , 5_1(146) -> 145
   , 5_1(150) -> 149
   , 5_1(158) -> 157
   , 5_1(161) -> 594
   , 5_1(163) -> 73
   , 5_1(166) -> 165
   , 5_1(167) -> 166
   , 5_1(170) -> 169
   , 5_1(171) -> 561
   , 5_1(182) -> 73
   , 5_1(183) -> 182
   , 5_1(184) -> 183
   , 5_1(186) -> 185
   , 5_1(187) -> 186
   , 5_1(194) -> 193
   , 5_1(195) -> 1588
   , 5_1(200) -> 199
   , 5_1(208) -> 207
   , 5_1(212) -> 211
   , 5_1(219) -> 218
   , 5_1(225) -> 224
   , 5_1(235) -> 234
   , 5_1(237) -> 236
   , 5_1(242) -> 241
   , 5_1(244) -> 243
   , 5_1(255) -> 254
   , 5_1(256) -> 255
   , 5_1(257) -> 256
   , 5_1(258) -> 257
   , 5_1(259) -> 1945
   , 5_1(260) -> 73
   , 5_1(262) -> 261
   , 5_1(263) -> 262
   , 5_1(264) -> 263
   , 5_1(267) -> 266
   , 5_1(273) -> 272
   , 5_1(278) -> 277
   , 5_1(287) -> 286
   , 5_1(293) -> 292
   , 5_1(295) -> 148
   , 5_1(304) -> 303
   , 5_1(305) -> 304
   , 5_1(306) -> 73
   , 5_1(307) -> 306
   , 5_1(311) -> 310
   , 5_1(319) -> 318
   , 5_1(324) -> 323
   , 5_1(327) -> 326
   , 5_1(329) -> 328
   , 5_1(330) -> 1957
   , 5_1(331) -> 60
   , 5_1(334) -> 333
   , 5_1(335) -> 334
   , 5_1(338) -> 337
   , 5_1(340) -> 339
   , 5_1(341) -> 340
   , 5_1(342) -> 355
   , 5_1(344) -> 343
   , 5_1(347) -> 346
   , 5_1(356) -> 46
   , 5_1(358) -> 357
   , 5_1(362) -> 361
   , 5_1(365) -> 364
   , 5_1(367) -> 73
   , 5_1(368) -> 367
   , 5_1(369) -> 368
   , 5_1(370) -> 369
   , 5_1(377) -> 58
   , 5_1(378) -> 1
   , 5_1(379) -> 378
   , 5_1(382) -> 381
   , 5_1(389) -> 388
   , 5_1(392) -> 391
   , 5_1(406) -> 73
   , 5_1(410) -> 409
   , 5_1(414) -> 413
   , 5_1(415) -> 1851
   , 5_1(416) -> 73
   , 5_1(419) -> 416
   , 5_1(423) -> 422
   , 5_1(426) -> 425
   , 5_1(487) -> 73
   , 5_1(488) -> 487
   , 5_1(498) -> 1210
   , 5_1(506) -> 505
   , 5_1(507) -> 506
   , 5_1(508) -> 1718
   , 5_1(513) -> 512
   , 5_1(519) -> 518
   , 5_1(521) -> 73
   , 5_1(531) -> 1718
   , 5_1(537) -> 536
   , 5_1(538) -> 537
   , 5_1(543) -> 1709
   , 5_1(558) -> 557
   , 5_1(575) -> 572
   , 5_1(594) -> 593
   , 5_1(602) -> 601
   , 5_1(603) -> 602
   , 5_1(604) -> 603
   , 5_1(607) -> 606
   , 5_1(609) -> 608
   , 5_1(615) -> 614
   , 5_1(622) -> 621
   , 5_1(627) -> 626
   , 5_1(634) -> 633
   , 5_1(638) -> 637
   , 5_1(649) -> 648
   , 5_1(650) -> 649
   , 5_1(655) -> 654
   , 5_1(659) -> 658
   , 5_1(667) -> 666
   , 5_1(775) -> 3
   , 5_1(785) -> 16
   , 5_1(795) -> 794
   , 5_1(802) -> 801
   , 5_1(827) -> 826
   , 5_1(891) -> 890
   , 5_1(895) -> 894
   , 5_1(901) -> 4
   , 5_1(902) -> 901
   , 5_1(911) -> 910
   , 5_1(914) -> 913
   , 5_1(929) -> 928
   , 5_1(930) -> 320
   , 5_1(931) -> 930
   , 5_1(933) -> 932
   , 5_1(937) -> 936
   , 5_1(945) -> 944
   , 5_1(950) -> 949
   , 5_1(952) -> 951
   , 5_1(955) -> 954
   , 5_1(958) -> 957
   , 5_1(964) -> 963
   , 5_1(984) -> 983
   , 5_1(986) -> 985
   , 5_1(988) -> 1202
   , 5_1(1006) -> 1005
   , 5_1(1008) -> 1007
   , 5_1(1011) -> 1010
   , 5_1(1012) -> 1011
   , 5_1(1181) -> 1180
   , 5_1(1185) -> 1184
   , 5_1(1188) -> 1187
   , 5_1(1191) -> 73
   , 5_1(1201) -> 1200
   , 5_1(1204) -> 1203
   , 5_1(1216) -> 1215
   , 5_1(1221) -> 73
   , 5_1(1226) -> 1225
   , 5_1(1228) -> 1227
   , 5_1(1229) -> 1228
   , 5_1(1231) -> 1230
   , 5_1(1232) -> 1231
   , 5_1(1238) -> 1237
   , 5_1(1243) -> 1242
   , 5_1(1247) -> 1246
   , 5_1(1250) -> 1249
   , 5_1(1258) -> 1257
   , 5_1(1262) -> 1261
   , 5_1(1274) -> 1273
   , 5_1(1287) -> 1286
   , 5_1(1288) -> 1287
   , 5_1(1389) -> 1388
   , 5_1(1391) -> 1390
   , 5_1(1402) -> 1401
   , 5_1(1403) -> 73
   , 5_1(1404) -> 1403
   , 5_1(1406) -> 1405
   , 5_1(1413) -> 196
   , 5_1(1418) -> 1417
   , 5_1(1421) -> 1420
   , 5_1(1423) -> 1422
   , 5_1(1425) -> 1414
   , 5_1(1427) -> 1426
   , 5_1(1438) -> 1437
   , 5_1(1440) -> 1439
   , 5_1(1579) -> 1578
   , 5_1(1582) -> 1581
   , 5_1(1584) -> 1583
   , 5_1(1585) -> 1584
   , 5_1(1587) -> 1586
   , 5_1(1594) -> 1593
   , 5_1(1596) -> 1595
   , 5_1(1600) -> 283
   , 5_1(1618) -> 1617
   , 5_1(1619) -> 1618
   , 5_1(1620) -> 1619
   , 5_1(1682) -> 1681
   , 5_1(1684) -> 1683
   , 5_1(1688) -> 377
   , 5_1(1692) -> 1691
   , 5_1(1703) -> 1702
   , 5_1(1705) -> 1704
   , 5_1(1711) -> 1710
   , 5_1(1713) -> 1712
   , 5_1(1722) -> 1721
   , 5_1(1724) -> 1723
   , 5_1(1725) -> 1724
   , 5_1(1728) -> 1727
   , 5_1(1729) -> 1728
   , 5_1(1741) -> 1740
   , 5_1(1743) -> 1742
   , 5_1(1753) -> 1752
   , 5_1(1754) -> 1753
   , 5_1(1805) -> 1804
   , 5_1(1815) -> 76
   , 5_1(1816) -> 1815
   , 5_1(1860) -> 1859
   , 5_1(1861) -> 1860
   , 5_1(1915) -> 1914
   , 5_1(1917) -> 1916
   , 5_1(1937) -> 73
   , 5_1(1945) -> 1944
   , 5_1(1948) -> 1947
   , 5_1(1956) -> 1955
   , 5_1(1960) -> 1959
   , 5_1(1964) -> 1963
   , 5_1(1965) -> 1964
   , 5_1(1972) -> 1971
   , 4_0(1) -> 1
   , 4_1(1) -> 29
   , 4_1(2) -> 29
   , 4_1(3) -> 29
   , 4_1(4) -> 3
   , 4_1(5) -> 4
   , 4_1(7) -> 6
   , 4_1(10) -> 9
   , 4_1(12) -> 11
   , 4_1(13) -> 1219
   , 4_1(14) -> 13
   , 4_1(15) -> 498
   , 4_1(16) -> 86
   , 4_1(17) -> 29
   , 4_1(19) -> 18
   , 4_1(21) -> 20
   , 4_1(22) -> 21
   , 4_1(23) -> 22
   , 4_1(25) -> 24
   , 4_1(26) -> 25
   , 4_1(27) -> 26
   , 4_1(28) -> 219
   , 4_1(29) -> 98
   , 4_1(30) -> 1
   , 4_1(30) -> 14
   , 4_1(30) -> 15
   , 4_1(30) -> 29
   , 4_1(30) -> 57
   , 4_1(30) -> 86
   , 4_1(30) -> 87
   , 4_1(30) -> 109
   , 4_1(30) -> 161
   , 4_1(30) -> 180
   , 4_1(30) -> 258
   , 4_1(30) -> 259
   , 4_1(30) -> 280
   , 4_1(30) -> 281
   , 4_1(30) -> 282
   , 4_1(30) -> 293
   , 4_1(30) -> 342
   , 4_1(30) -> 405
   , 4_1(30) -> 496
   , 4_1(30) -> 498
   , 4_1(30) -> 919
   , 4_1(30) -> 952
   , 4_1(30) -> 1189
   , 4_1(30) -> 1255
   , 4_1(30) -> 1451
   , 4_1(30) -> 1599
   , 4_1(32) -> 31
   , 4_1(34) -> 33
   , 4_1(36) -> 35
   , 4_1(37) -> 36
   , 4_1(40) -> 39
   , 4_1(41) -> 40
   , 4_1(43) -> 42
   , 4_1(44) -> 43
   , 4_1(45) -> 249
   , 4_1(46) -> 16
   , 4_1(49) -> 48
   , 4_1(54) -> 53
   , 4_1(56) -> 55
   , 4_1(57) -> 120
   , 4_1(58) -> 29
   , 4_1(59) -> 29
   , 4_1(60) -> 59
   , 4_1(62) -> 61
   , 4_1(63) -> 62
   , 4_1(65) -> 64
   , 4_1(67) -> 66
   , 4_1(70) -> 69
   , 4_1(71) -> 70
   , 4_1(72) -> 71
   , 4_1(73) -> 72
   , 4_1(74) -> 16
   , 4_1(75) -> 74
   , 4_1(80) -> 79
   , 4_1(83) -> 82
   , 4_1(86) -> 531
   , 4_1(87) -> 86
   , 4_1(88) -> 47
   , 4_1(92) -> 91
   , 4_1(93) -> 92
   , 4_1(95) -> 94
   , 4_1(97) -> 96
   , 4_1(98) -> 330
   , 4_1(100) -> 99
   , 4_1(102) -> 101
   , 4_1(104) -> 103
   , 4_1(105) -> 104
   , 4_1(108) -> 107
   , 4_1(109) -> 353
   , 4_1(110) -> 29
   , 4_1(111) -> 110
   , 4_1(113) -> 112
   , 4_1(120) -> 119
   , 4_1(122) -> 29
   , 4_1(123) -> 122
   , 4_1(128) -> 127
   , 4_1(129) -> 128
   , 4_1(130) -> 129
   , 4_1(131) -> 130
   , 4_1(132) -> 190
   , 4_1(134) -> 1822
   , 4_1(135) -> 29
   , 4_1(136) -> 29
   , 4_1(139) -> 138
   , 4_1(140) -> 139
   , 4_1(143) -> 142
   , 4_1(147) -> 146
   , 4_1(148) -> 16
   , 4_1(149) -> 148
   , 4_1(151) -> 150
   , 4_1(155) -> 154
   , 4_1(156) -> 155
   , 4_1(159) -> 158
   , 4_1(161) -> 1275
   , 4_1(162) -> 1
   , 4_1(162) -> 87
   , 4_1(162) -> 398
   , 4_1(163) -> 29
   , 4_1(165) -> 164
   , 4_1(172) -> 171
   , 4_1(173) -> 136
   , 4_1(176) -> 175
   , 4_1(177) -> 176
   , 4_1(178) -> 177
   , 4_1(180) -> 179
   , 4_1(182) -> 1
   , 4_1(184) -> 29
   , 4_1(185) -> 184
   , 4_1(189) -> 188
   , 4_1(190) -> 189
   , 4_1(191) -> 190
   , 4_1(194) -> 229
   , 4_1(195) -> 194
   , 4_1(196) -> 16
   , 4_1(197) -> 196
   , 4_1(199) -> 198
   , 4_1(202) -> 201
   , 4_1(203) -> 202
   , 4_1(206) -> 620
   , 4_1(207) -> 121
   , 4_1(210) -> 209
   , 4_1(213) -> 212
   , 4_1(214) -> 213
   , 4_1(215) -> 214
   , 4_1(217) -> 216
   , 4_1(218) -> 217
   , 4_1(219) -> 239
   , 4_1(220) -> 76
   , 4_1(221) -> 220
   , 4_1(226) -> 225
   , 4_1(231) -> 29
   , 4_1(232) -> 231
   , 4_1(234) -> 233
   , 4_1(236) -> 235
   , 4_1(238) -> 237
   , 4_1(239) -> 1805
   , 4_1(245) -> 244
   , 4_1(252) -> 251
   , 4_1(253) -> 252
   , 4_1(259) -> 258
   , 4_1(260) -> 29
   , 4_1(268) -> 267
   , 4_1(269) -> 268
   , 4_1(271) -> 46
   , 4_1(272) -> 271
   , 4_1(274) -> 273
   , 4_1(275) -> 274
   , 4_1(277) -> 276
   , 4_1(279) -> 278
   , 4_1(280) -> 279
   , 4_1(281) -> 396
   , 4_1(283) -> 29
   , 4_1(285) -> 284
   , 4_1(290) -> 289
   , 4_1(291) -> 290
   , 4_1(294) -> 1968
   , 4_1(300) -> 299
   , 4_1(301) -> 300
   , 4_1(302) -> 301
   , 4_1(308) -> 307
   , 4_1(309) -> 308
   , 4_1(310) -> 309
   , 4_1(312) -> 311
   , 4_1(317) -> 316
   , 4_1(320) -> 2
   , 4_1(321) -> 320
   , 4_1(323) -> 322
   , 4_1(336) -> 335
   , 4_1(339) -> 338
   , 4_1(341) -> 508
   , 4_1(342) -> 341
   , 4_1(343) -> 261
   , 4_1(350) -> 349
   , 4_1(351) -> 350
   , 4_1(353) -> 352
   , 4_1(354) -> 353
   , 4_1(355) -> 415
   , 4_1(359) -> 358
   , 4_1(363) -> 362
   , 4_1(366) -> 365
   , 4_1(367) -> 29
   , 4_1(374) -> 373
   , 4_1(377) -> 58
   , 4_1(378) -> 29
   , 4_1(379) -> 29
   , 4_1(380) -> 379
   , 4_1(383) -> 382
   , 4_1(386) -> 385
   , 4_1(387) -> 1424
   , 4_1(390) -> 389
   , 4_1(393) -> 392
   , 4_1(396) -> 395
   , 4_1(397) -> 396
   , 4_1(398) -> 532
   , 4_1(400) -> 399
   , 4_1(401) -> 400
   , 4_1(404) -> 403
   , 4_1(406) -> 86
   , 4_1(407) -> 406
   , 4_1(408) -> 407
   , 4_1(415) -> 632
   , 4_1(425) -> 927
   , 4_1(487) -> 135
   , 4_1(490) -> 489
   , 4_1(492) -> 491
   , 4_1(495) -> 494
   , 4_1(496) -> 1761
   , 4_1(499) -> 260
   , 4_1(501) -> 500
   , 4_1(504) -> 503
   , 4_1(507) -> 40
   , 4_1(510) -> 509
   , 4_1(512) -> 511
   , 4_1(517) -> 516
   , 4_1(520) -> 16
   , 4_1(521) -> 29
   , 4_1(523) -> 522
   , 4_1(525) -> 524
   , 4_1(527) -> 526
   , 4_1(528) -> 527
   , 4_1(530) -> 529
   , 4_1(532) -> 531
   , 4_1(536) -> 535
   , 4_1(539) -> 538
   , 4_1(557) -> 548
   , 4_1(559) -> 558
   , 4_1(572) -> 29
   , 4_1(581) -> 576
   , 4_1(587) -> 582
   , 4_1(593) -> 588
   , 4_1(606) -> 1272
   , 4_1(608) -> 29
   , 4_1(610) -> 609
   , 4_1(612) -> 611
   , 4_1(613) -> 612
   , 4_1(616) -> 615
   , 4_1(617) -> 616
   , 4_1(618) -> 617
   , 4_1(620) -> 619
   , 4_1(621) -> 30
   , 4_1(623) -> 622
   , 4_1(625) -> 624
   , 4_1(628) -> 627
   , 4_1(631) -> 630
   , 4_1(632) -> 631
   , 4_1(636) -> 635
   , 4_1(637) -> 636
   , 4_1(640) -> 639
   , 4_1(641) -> 640
   , 4_1(643) -> 642
   , 4_1(644) -> 643
   , 4_1(647) -> 646
   , 4_1(653) -> 652
   , 4_1(656) -> 655
   , 4_1(657) -> 1232
   , 4_1(666) -> 659
   , 4_1(668) -> 667
   , 4_1(693) -> 674
   , 4_1(694) -> 693
   , 4_1(779) -> 778
   , 4_1(781) -> 780
   , 4_1(782) -> 781
   , 4_1(786) -> 785
   , 4_1(789) -> 788
   , 4_1(790) -> 789
   , 4_1(793) -> 792
   , 4_1(799) -> 798
   , 4_1(803) -> 802
   , 4_1(825) -> 804
   , 4_1(826) -> 825
   , 4_1(827) -> 781
   , 4_1(890) -> 29
   , 4_1(896) -> 895
   , 4_1(899) -> 898
   , 4_1(900) -> 899
   , 4_1(908) -> 907
   , 4_1(909) -> 908
   , 4_1(913) -> 29
   , 4_1(916) -> 915
   , 4_1(917) -> 916
   , 4_1(918) -> 403
   , 4_1(920) -> 1232
   , 4_1(923) -> 922
   , 4_1(926) -> 925
   , 4_1(928) -> 927
   , 4_1(934) -> 933
   , 4_1(935) -> 934
   , 4_1(936) -> 935
   , 4_1(938) -> 937
   , 4_1(942) -> 941
   , 4_1(943) -> 942
   , 4_1(946) -> 945
   , 4_1(948) -> 947
   , 4_1(951) -> 950
   , 4_1(953) -> 1451
   , 4_1(956) -> 955
   , 4_1(959) -> 958
   , 4_1(961) -> 960
   , 4_1(963) -> 962
   , 4_1(965) -> 621
   , 4_1(967) -> 966
   , 4_1(982) -> 969
   , 4_1(983) -> 982
   , 4_1(985) -> 984
   , 4_1(987) -> 986
   , 4_1(1005) -> 240
   , 4_1(1007) -> 1006
   , 4_1(1009) -> 1008
   , 4_1(1029) -> 1012
   , 4_1(1030) -> 1029
   , 4_1(1031) -> 1030
   , 4_1(1178) -> 572
   , 4_1(1179) -> 1178
   , 4_1(1180) -> 1179
   , 4_1(1189) -> 1188
   , 4_1(1191) -> 1
   , 4_1(1192) -> 29
   , 4_1(1193) -> 1192
   , 4_1(1194) -> 1193
   , 4_1(1195) -> 1194
   , 4_1(1196) -> 1195
   , 4_1(1202) -> 1201
   , 4_1(1203) -> 207
   , 4_1(1205) -> 1204
   , 4_1(1206) -> 1205
   , 4_1(1207) -> 1206
   , 4_1(1213) -> 1212
   , 4_1(1214) -> 1213
   , 4_1(1219) -> 1218
   , 4_1(1222) -> 1221
   , 4_1(1225) -> 1224
   , 4_1(1230) -> 1229
   , 4_1(1235) -> 1234
   , 4_1(1237) -> 1236
   , 4_1(1239) -> 1238
   , 4_1(1244) -> 1243
   , 4_1(1246) -> 16
   , 4_1(1253) -> 1252
   , 4_1(1254) -> 278
   , 4_1(1255) -> 1254
   , 4_1(1263) -> 1262
   , 4_1(1265) -> 283
   , 4_1(1267) -> 1266
   , 4_1(1268) -> 1267
   , 4_1(1273) -> 1272
   , 4_1(1283) -> 1276
   , 4_1(1284) -> 1283
   , 4_1(1285) -> 1284
   , 4_1(1286) -> 1285
   , 4_1(1291) -> 1290
   , 4_1(1377) -> 930
   , 4_1(1384) -> 29
   , 4_1(1385) -> 1384
   , 4_1(1386) -> 1385
   , 4_1(1388) -> 1387
   , 4_1(1393) -> 29
   , 4_1(1394) -> 1393
   , 4_1(1395) -> 1394
   , 4_1(1398) -> 1397
   , 4_1(1401) -> 1400
   , 4_1(1411) -> 1410
   , 4_1(1416) -> 1415
   , 4_1(1417) -> 1416
   , 4_1(1422) -> 1421
   , 4_1(1424) -> 1423
   , 4_1(1426) -> 1425
   , 4_1(1437) -> 1430
   , 4_1(1449) -> 1440
   , 4_1(1450) -> 1449
   , 4_1(1578) -> 377
   , 4_1(1580) -> 1579
   , 4_1(1588) -> 1587
   , 4_1(1590) -> 1589
   , 4_1(1591) -> 1590
   , 4_1(1592) -> 1591
   , 4_1(1595) -> 1594
   , 4_1(1598) -> 1597
   , 4_1(1599) -> 1598
   , 4_1(1604) -> 1603
   , 4_1(1606) -> 1605
   , 4_1(1609) -> 163
   , 4_1(1610) -> 1609
   , 4_1(1616) -> 1615
   , 4_1(1621) -> 1620
   , 4_1(1681) -> 1680
   , 4_1(1683) -> 1682
   , 4_1(1690) -> 1689
   , 4_1(1693) -> 1692
   , 4_1(1699) -> 1698
   , 4_1(1700) -> 1699
   , 4_1(1702) -> 1701
   , 4_1(1704) -> 1703
   , 4_1(1709) -> 1708
   , 4_1(1710) -> 416
   , 4_1(1718) -> 1717
   , 4_1(1719) -> 29
   , 4_1(1721) -> 1720
   , 4_1(1726) -> 1725
   , 4_1(1727) -> 1726
   , 4_1(1740) -> 1733
   , 4_1(1752) -> 1743
   , 4_1(1761) -> 1754
   , 4_1(1799) -> 1798
   , 4_1(1800) -> 1799
   , 4_1(1803) -> 1802
   , 4_1(1817) -> 1816
   , 4_1(1821) -> 1820
   , 4_1(1851) -> 1822
   , 4_1(1855) -> 965
   , 4_1(1856) -> 1855
   , 4_1(1862) -> 1861
   , 4_1(1863) -> 1862
   , 4_1(1934) -> 1917
   , 4_1(1938) -> 1937
   , 4_1(1940) -> 1939
   , 4_1(1942) -> 1941
   , 4_1(1943) -> 1942
   , 4_1(1944) -> 1943
   , 4_1(1946) -> 182
   , 4_1(1947) -> 1946
   , 4_1(1949) -> 1948
   , 4_1(1951) -> 1950
   , 4_1(1958) -> 331
   , 4_1(1959) -> 1958
   , 4_1(1966) -> 1965
   , 4_1(1969) -> 1719
   , 4_1(1973) -> 1972
   , 4_1(1974) -> 1973
   , 4_1(1976) -> 1975
   , 4_1(1977) -> 1976
   , 4_1(1978) -> 1977}

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

Tool CDI

Execution Time	60.08135ms
Answer	TIMEOUT
Input	ICFP 2010 132611

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	60.5642ms
Answer	TIMEOUT
Input	ICFP 2010 132611

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool IDA

Execution Time	60.508392ms
Answer	TIMEOUT
Input	ICFP 2010 132611

stdout:

Tool TRI

Execution Time	60.539646ms
Answer	TIMEOUT
Input	ICFP 2010 132611