SRS Relative pair #487521897

details

property	value
status	complete
benchmark	4943.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n095.star.cs.uiowa.edu
space	ICFP_2010_relative

run statistics

property	value
solver	MultumNonMulta 3.16 29 June 2020 60G
configuration	default
runtime (wallclock)	50.9364919662 seconds
cpu usage	163.273590756
max memory	4.7340544E10

stage attributes

key	value
output-size	2195093
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

After renaming modulo { 1->0, 0->1, 4->2, 3->3, 5->4, 2->5 }, 
it remains to prove termination of the 60-rule system
{ 0 0 1 -> 2 1 0 0 2 1 1 3 3 2 ,
  1 4 0 1 -> 1 4 5 5 2 3 1 5 5 5 ,
  0 1 0 1 -> 0 1 3 5 1 2 2 5 2 5 ,
  0 1 3 0 -> 0 5 3 3 5 2 2 3 1 0 ,
  5 0 1 4 -> 5 3 2 2 5 1 5 3 1 4 ,
  1 0 1 5 0 -> 5 5 1 1 1 2 1 0 5 0 ,
  0 1 4 1 0 -> 4 1 5 5 3 2 1 5 1 0 ,
  3 0 1 4 5 -> 5 0 2 1 5 4 4 5 5 3 ,
  2 2 4 3 1 -> 2 3 0 0 3 5 1 3 3 1 ,
  1 3 4 4 5 1 -> 5 5 1 0 5 1 1 5 3 2 ,
  0 1 1 3 4 2 -> 0 1 3 3 2 0 3 3 2 2 ,
  0 4 3 1 3 0 -> 0 5 5 0 3 1 2 2 3 0 ,
  0 4 2 0 5 4 -> 0 2 2 1 5 2 5 1 3 4 ,
  3 1 2 4 0 1 -> 2 0 2 5 3 2 2 5 2 1 ,
  3 1 4 3 5 4 -> 2 3 0 0 3 3 5 1 1 4 ,
  3 1 4 3 2 0 -> 2 5 2 3 1 3 0 0 2 0 ,
  2 0 5 0 0 1 -> 2 4 3 3 1 0 0 2 1 5 ,
  2 2 2 4 1 4 -> 3 2 3 3 5 2 5 2 0 2 ,
  4 5 1 2 4 0 -> 4 5 5 5 3 0 1 2 1 3 ,
  1 4 2 4 3 1 4 -> 1 2 5 2 2 2 3 1 1 4 ,
  0 1 4 4 3 5 4 -> 3 4 4 3 3 1 5 1 2 4 ,
  3 1 4 3 4 3 1 -> 0 0 5 2 0 5 1 0 2 1 ,
  3 0 1 0 4 4 0 -> 5 2 0 0 3 3 3 3 0 0 ,
  3 5 4 3 1 0 1 -> 5 2 0 5 3 2 3 0 0 5 ,
  3 3 4 3 2 4 3 -> 1 5 5 2 5 5 0 0 0 5 ,
  3 2 5 4 1 5 0 -> 3 1 2 3 5 2 2 1 1 0 ,
  3 2 3 5 0 2 2 -> 3 2 3 2 3 1 3 3 1 5 ,
  3 4 5 3 4 3 2 -> 3 4 0 1 3 1 1 5 2 5 ,
  2 2 4 3 5 0 1 -> 2 1 4 2 0 5 5 5 3 1 ,
  2 4 0 1 1 4 0 -> 4 4 5 5 5 4 4 4 0 2 ,
  2 4 0 3 0 5 3 -> 4 2 0 0 0 5 3 2 1 5 ,
  4 0 2 4 5 4 3 -> 4 4 0 2 5 3 1 1 3 2 ,
  4 0 4 2 5 4 0 -> 4 4 5 3 1 3 2 5 0 1 ,
  4 2 4 1 4 5 3 -> 4 0 0 2 5 3 1 0 3 1 ,
  1 0 ->= 5 3 3 5 5 3 3 2 2 5 ,
  3 1 ->= 0 2 5 5 5 1 3 1 1 5 ,
  0 1 3 ->= 0 4 5 5 3 0 3 1 5 1 ,
  5 1 4 ->= 5 2 3 5 3 5 2 3 5 0 ,
  5 0 4 ->= 5 5 2 1 1 5 2 1 0 4 ,
  5 3 2 ->= 5 3 2 3 5 2 1 2 2 5 ,
  3 1 1 ->= 3 3 2 5 2 2 2 5 3 5 ,
  4 2 5 ->= 4 2 2 5 5 1 5 5 2 3 ,
  1 1 3 0 ->= 1 3 2 5 5 3 1 1 0 0 ,
  1 4 2 1 ->= 5 4 4 4 5 3 3 3 5 3 ,
  0 1 0 5 ->= 0 5 5 5 4 4 5 5 3 2 ,
  5 1 4 1 ->= 5 2 0 3 2 3 2 0 4 3 ,
  5 2 5 4 ->= 5 3 2 1 1 5 1 1 3 4 ,
  3 1 4 3 ->= 0 3 5 1 2 1 3 1 3 2 ,
  4 5 1 1 ->= 4 2 1 3 1 2 5 5 3 1 ,
  1 5 0 1 3 ->= 1 5 0 5 3 2 3 5 3 1 ,
  5 2 0 4 0 ->= 3 3 5 5 2 2 0 3 3 0 ,
  4 0 0 4 1 ->= 4 4 5 5 1 1 0 2 0 3 ,
  0 0 0 0 2 4 ->= 0 2 1 3 2 3 5 5 0 3 ,
  0 2 4 0 2 5 ->= 0 1 2 3 2 3 5 3 2 5 ,
  5 2 4 5 3 4 ->= 5 2 2 1 1 0 0 0 5 0 ,
  0 1 3 4 4 3 3 ->= 3 4 5 3 3 3 0 5 3 3 ,
  5 2 3 0 1 0 1 ->= 5 1 5 3 3 1 0 5 0 1 ,
  3 1 1 4 5 5 4 ->= 0 0 2 3 4 5 5 5 0 2 ,
  3 2 1 4 3 2 5 ->= 3 0 2 4 1 3 1 5 3 1 ,
  2 1 4 2 5 0 5 ->= 0 5 5 5 0 3 0 3 2 5 }


Applying context closure of depth 1 in the following form: System R over Sigma
maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2,
where fold(a_1...a_n) = (a_1,a_2)...(a_{n-1},a_{n})

After renaming modulo { [0, 0]->0, [0, 1]->1, [1, 0]->2, [0, 2]->3, [2, 1]->4, [1, 1]->5, [1, 3]->6, [3, 3]->7, [3, 2]->8, [2, 0]->9, [1, 4]->10, [4, 0]->11, [4, 5]->12, [5, 5]->13, [5, 2]->14, [2, 3]->15, [3, 1]->16, [1, 5]->17, [5, 0]->18, [3, 5]->19, [5, 1]->20, [1, 2]->21, [2, 2]->22, [2, 5]->23, [3, 0]->24, [0, 5]->25, [5, 3]->26, [4, 1]->27, [0, 4]->28, [0, 3]->29, [5, 4]->30, [4, 4]->31, [2, 4]->32, [4, 3]->33, [3, 4]->34, [4, 2]->35 },
it remains to prove termination of the 2160-rule system
{ 0 0 1 2 -> 3 4 2 0 3 4 5 6 7 8 9 ,
  1 10 11 1 2 -> 1 10 12 13 14 15 16 17 13 13 18 ,
  0 1 2 1 2 -> 0 1 6 19 20 21 22 23 14 23 18 ,
  0 1 6 24 0 -> 0 25 26 7 19 14 22 15 16 2 0 ,
  25 18 1 10 11 -> 25 26 8 22 23 20 17 26 16 10 11 ,
  1 2 1 17 18 0 -> 25 13 20 5 5 21 4 2 25 18 0 ,
  0 1 10 27 2 0 -> 28 27 17 13 26 8 4 17 20 2 0 ,
  29 24 1 10 12 18 -> 25 18 3 4 17 30 31 12 13 26 24 ,
  3 22 32 33 16 2 -> 3 15 24 0 29 19 20 6 7 16 2 ,
  1 6 34 31 12 20 2 -> 25 13 20 2 25 20 5 17 26 8 9 ,
  0 1 5 6 34 35 9 -> 0 1 6 7 8 9 29 7 8 22 9 ,
  0 28 33 16 6 24 0 -> 0 25 13 18 29 16 21 22 15 24 0 ,
  0 28 35 9 25 30 11 -> 0 3 22 4 17 14 23 20 6 34 11 ,
  29 16 21 32 11 1 2 -> 3 9 3 23 26 8 22 23 14 4 2 ,
  29 16 10 33 19 30 11 -> 3 15 24 0 29 7 19 20 5 10 11 ,
  29 16 10 33 8 9 0 -> 3 23 14 15 16 6 24 0 3 9 0 ,
  3 9 25 18 0 1 2 -> 3 32 33 7 16 2 0 3 4 17 18 ,
  3 22 22 32 27 10 11 -> 29 8 15 7 19 14 23 14 9 3 9 ,
  28 12 20 21 32 11 0 -> 28 12 13 13 26 24 1 21 4 6 24 ,
  1 10 35 32 33 16 10 11 -> 1 21 23 14 22 22 15 16 5 10 11 ,
  0 1 10 31 33 19 30 11 -> 29 34 31 33 7 16 17 20 21 32 11 ,
  29 16 10 33 34 33 16 2 -> 0 0 25 14 9 25 20 2 3 4 2 ,

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