SRS Stand 10685 pair #381724141

details
property	value
status	complete
benchmark	58301.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n034.star.cs.uiowa.edu
space	ICFP_2010
run statistics
property	value
solver	MultumNonMulta3.12_29June2018A
configuration	default
runtime (wallclock)	143.291626215 seconds
cpu usage	569.449781242
max memory	6.03004928E10
stage attributes
key	value
output-size	614873
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


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})

Remains to prove termination of the 5040-rule system
{ [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 3] [3, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 4] [4, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 0] [0, 2] [2, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 0] [0, 2] [2, 3] [3, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 0] [0, 2] [2, 5] [5, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 0] [0, 3] [3, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 2] [2, 0] [0, 3] [3, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 2] [2, 0] [0, 4] [4, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 3] [3, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 5] [5, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 1] [1, 3] [3, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 0] [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 0] [0, 1] [1, 3] [3, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 4] [4, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 0] [0, 2] [2, 1] [1, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 0] [0, 2] [2, 3] [3, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 0] [0, 2] [2, 5] [5, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 1] [1, 0] [0, 2] [2, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 1] [1, 0] [0, 2] [2, 5] [5, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 1] [1, 2] [2, 0] [0, 4] [4, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 1] [1, 4] [4, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 1] [1, 4] [4, 0] [0, 4] [4, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 2] [2, 0] [0, 4] [4, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 3] [3, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 0] [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 0] [0, 1] [1, 0] -> [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 0] [0, 0] -> [0, 0] [0, 0] [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 2] [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 1] [1, 1] [1, 0] -> [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 3] [3, 1] [1, 0] -> [0, 2] [2, 0] [0, 1] [1, 3] [3, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 3] [3, 1] [1, 0] -> [0, 2] [2, 0] [0, 1] [1, 3] [3, 0] [0, 2] [2, 0] ,
  [0, 0] [0, 0] [0, 3] [3, 1] [1, 0] -> [0, 2] [2, 0] [0, 2] [2, 3] [3, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 3] [3, 1] [1, 0] -> [0, 2] [2, 1] [1, 0] [0, 2] [2, 0] [0, 3] [3, 0] ,
  [0, 0] [0, 0] [0, 3] [3, 1] [1, 0] -> [0, 3] [3, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 5] [5, 1] [1, 0] -> [0, 0] [0, 2] [2, 5] [5, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 5] [5, 1] [1, 0] -> [0, 0] [0, 5] [5, 0] [0, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 5] [5, 1] [1, 0] -> [0, 2] [2, 5] [5, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 0] [0, 5] [5, 1] [1, 0] -> [0, 2] [2, 5] [5, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 5] [5, 1] [1, 0] -> [0, 0] [0, 1] [1, 2] [2, 5] [5, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 5] [5, 1] [1, 0] -> [0, 0] [0, 2] [2, 1] [1, 2] [2, 5] [5, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 5] [5, 1] [1, 0] -> [0, 0] [0, 2] [2, 1] [1, 4] [4, 5] [5, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 5] [5, 1] [1, 0] -> [0, 1] [1, 2] [2, 0] [0, 0] [0, 2] [2, 5] [5, 0] ,
  [0, 0] [0, 0] [0, 5] [5, 1] [1, 0] -> [0, 2] [2, 0] [0, 2] [2, 1] [1, 0] [0, 5] [5, 0] ,
  [0, 0] [0, 0] [0, 5] [5, 1] [1, 0] -> [0, 2] [2, 1] [1, 0] [0, 4] [4, 5] [5, 0] [0, 0] ,
  [0, 0] [0, 0] [0, 5] [5, 1] [1, 0] -> [0, 2] [2, 5] [5, 0] [0, 2] [2, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 2] [2, 1] [1, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 0] [0, 0] [0, 1] [1, 1] [1, 2] [2, 2] [2, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 0] [0, 1] [1, 1] [1, 3] [3, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 1] [1, 1] [1, 3] [3, 2] [2, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 2] [2, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 5] [5, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 2] [2, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 1] [1, 0] [0, 1] [1, 0] -> [0, 3] [3, 1] [1, 2] [2, 1] [1, 0] [0, 0] [0, 0] ,
  [0, 0] [0, 3] [3, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 3] [3, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 3] [3, 0] [0, 1] [1, 0] -> [0, 3] [3, 1] [1, 2] [2, 0] [0, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 5] [5, 0] [0, 1] [1, 0] -> [0, 2] [2, 5] [5, 0] [0, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 5] [5, 0] [0, 1] [1, 0] -> [0, 0] [0, 0] [0, 2] [2, 1] [1, 2] [2, 5] [5, 0] ,
  [0, 0] [0, 5] [5, 0] [0, 1] [1, 0] -> [0, 0] [0, 0] [0, 2] [2, 5] [5, 2] [2, 1] [1, 0] ,
  [0, 0] [0, 5] [5, 0] [0, 1] [1, 0] -> [0, 0] [0, 1] [1, 2] [2, 0] [0, 2] [2, 5] [5, 0] ,
  [0, 0] [0, 5] [5, 0] [0, 1] [1, 0] -> [0, 1] [1, 2] [2, 0] [0, 2] [2, 5] [5, 0] [0, 0] ,
  [0, 0] [0, 5] [5, 0] [0, 1] [1, 0] -> [0, 2] [2, 0] [0, 0] [0, 1] [1, 2] [2, 5] [5, 0] ,
  [0, 0] [0, 5] [5, 0] [0, 1] [1, 0] -> [0, 2] [2, 0] [0, 1] [1, 5] [5, 2] [2, 0] [0, 0] ,
  [0, 0] [0, 5] [5, 0] [0, 1] [1, 0] -> [0, 2] [2, 0] [0, 2] [2, 1] [1, 5] [5, 0] [0, 0] ,
  [0, 0] [0, 5] [5, 0] [0, 1] [1, 0] -> [0, 2] [2, 5] [5, 0] [0, 0] [0, 1] [1, 2] [2, 0] ,
  [0, 0] [0, 5] [5, 0] [0, 1] [1, 0] -> [0, 2] [2, 5] [5, 0] [0, 2] [2, 0] [0, 1] [1, 0] ,
  [0, 0] [0, 5] [5, 1] [1, 1] [1, 0] -> [0, 1] [1, 2] [2, 5] [5, 1] [1, 0] [0, 0] ,
  [0, 0] [0, 5] [5, 1] [1, 1] [1, 0] -> [0, 2] [2, 5] [5, 0] [0, 1] [1, 1] [1, 0] ,
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