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SRS Relative pair #487082268
details
property
value
status
complete
benchmark
139310.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n137.star.cs.uiowa.edu
space
ICFP_2010_relative
run statistics
property
value
solver
MultumNonMulta 20 June 2020 20G sparse
configuration
default
runtime (wallclock)
2.10294 seconds
cpu usage
6.26
user time
5.8
system time
0.46
max virtual memory
2.536172E7
max residence set size
1257364.0
stage attributes
key
value
starexec-result
YES
output
YES After renaming modulo { 0->0, 1->1, 2->2, 3->3 }, it remains to prove termination of the 81-rule system { 0 0 0 1 2 0 0 3 3 1 2 2 1 1 2 2 3 1 -> 0 3 0 1 2 3 2 2 0 0 1 2 2 3 1 1 0 1 , 0 0 0 3 3 1 3 0 2 3 1 1 2 2 2 0 2 0 -> 0 1 0 0 0 1 2 3 2 1 3 3 2 0 2 3 2 0 , 0 0 1 0 1 3 2 3 3 2 1 0 1 0 2 2 1 0 -> 0 3 1 1 3 2 2 3 2 0 0 0 0 1 1 2 1 0 , 0 1 0 1 0 2 2 0 0 1 3 1 2 3 0 2 2 2 -> 0 1 0 1 1 2 3 1 2 0 0 2 2 3 0 2 0 2 , 0 1 0 1 3 1 3 0 1 2 3 0 0 3 1 3 1 1 -> 0 1 1 3 2 3 0 3 1 1 0 0 3 1 0 3 1 1 , 0 1 0 2 0 0 0 3 3 0 1 1 2 2 0 0 0 0 -> 0 1 0 1 3 3 0 2 0 2 0 0 1 0 2 0 0 0 , 0 1 3 2 2 1 3 1 0 3 1 2 0 0 0 1 0 2 -> 0 1 3 0 2 0 3 0 1 2 2 1 1 1 3 0 0 2 , 0 1 3 3 0 3 0 2 3 2 2 1 1 2 1 2 2 2 -> 1 2 3 1 1 0 2 3 0 2 1 2 3 0 2 2 3 2 , 0 2 1 2 2 0 0 3 3 0 1 1 1 0 1 0 0 2 -> 0 2 1 0 1 2 0 1 3 0 0 1 2 1 3 0 0 2 , 0 2 2 1 3 2 0 1 3 3 3 1 3 0 0 3 2 3 -> 0 2 3 3 2 3 0 1 1 2 3 1 3 0 3 0 2 3 , 0 2 2 3 0 2 1 0 1 3 0 1 2 0 0 3 0 1 -> 0 2 3 2 3 1 3 2 0 0 0 0 2 0 0 1 1 1 , 0 2 2 3 3 1 1 3 1 3 3 1 3 2 1 1 0 3 -> 0 3 3 2 3 2 3 1 3 1 1 0 1 1 3 2 1 3 , 0 3 0 0 0 0 1 3 1 2 3 3 2 1 2 1 0 2 -> 3 1 0 3 3 2 3 2 1 1 0 1 0 0 2 0 0 2 , 0 3 1 1 3 1 3 1 2 0 0 0 0 0 3 3 1 1 -> 3 3 0 0 1 1 3 3 2 0 0 1 3 1 0 0 1 1 , 0 3 1 3 2 1 1 0 1 3 1 3 1 1 2 2 3 1 -> 3 1 0 3 2 3 2 3 1 1 1 1 3 2 0 1 1 1 , 0 3 3 0 3 0 1 2 1 0 3 0 0 2 1 3 1 1 -> 0 0 1 0 0 2 3 3 3 2 3 0 0 1 1 3 1 1 , 0 3 3 3 1 0 1 0 3 2 2 1 0 3 3 0 3 0 -> 3 0 1 3 3 1 3 2 0 0 1 0 3 2 0 3 3 0 , 0 3 3 3 1 0 2 1 0 3 3 0 3 1 2 2 3 3 -> 0 2 0 0 1 2 3 3 3 2 3 3 0 3 1 1 3 3 , 0 3 3 3 3 0 3 2 1 3 0 0 1 3 0 2 2 1 -> 0 3 3 3 1 1 0 0 0 3 2 3 0 2 3 2 3 1 , 1 0 0 1 1 1 0 2 3 0 3 2 2 2 3 3 3 0 -> 0 3 2 3 2 3 3 2 0 0 1 1 2 1 1 3 0 0 , 1 0 0 2 0 1 0 3 2 2 2 0 1 3 0 3 2 3 -> 3 1 2 0 1 1 0 0 2 3 2 0 0 0 2 3 2 3 , 1 0 2 0 0 2 2 1 0 3 1 1 3 3 0 1 1 2 -> 0 2 3 0 2 0 0 1 1 1 1 2 1 1 3 3 0 2 , 1 0 2 0 1 0 0 3 3 2 1 2 1 2 1 2 0 1 -> 1 2 1 0 1 2 3 2 0 0 2 3 1 0 2 1 0 1 , 1 0 2 0 1 1 2 2 1 0 3 1 0 3 1 0 1 0 -> 1 1 2 0 2 1 0 1 2 0 3 1 0 0 3 1 1 0 , 1 0 2 0 1 3 3 3 3 1 0 3 1 2 2 2 2 2 -> 1 2 1 1 2 3 0 3 2 0 2 0 3 2 3 1 3 2 , 1 0 2 2 0 2 2 2 2 0 2 0 2 3 1 2 0 3 -> 1 0 2 2 2 2 0 2 1 2 2 3 2 0 0 2 0 3 , 1 0 2 2 2 0 1 1 1 0 3 3 0 1 3 1 1 1 -> 2 3 1 0 0 1 1 3 2 3 0 2 1 1 0 1 1 1 , 1 0 3 0 1 2 2 2 1 1 0 1 0 1 0 3 2 1 -> 0 0 1 2 1 0 1 1 1 2 0 0 2 3 3 1 2 1 , 1 0 3 0 3 0 0 3 1 2 2 2 3 3 1 1 2 3 -> 3 3 2 0 1 1 1 3 0 2 2 0 1 3 0 3 2 3 , 1 0 3 2 2 3 1 2 1 0 0 1 2 2 2 3 0 2 -> 1 1 2 0 0 2 2 1 2 3 2 0 3 2 0 1 3 2 , 1 1 0 0 3 3 0 3 1 3 2 2 3 2 0 2 0 2 -> 1 2 3 2 0 3 0 1 2 0 1 3 2 0 3 3 0 2 , 1 1 3 2 1 0 2 3 0 0 3 1 3 0 3 3 2 2 -> 1 3 2 0 1 0 1 3 3 1 3 3 2 0 0 3 2 2 , 1 2 2 1 0 1 3 2 2 1 1 3 0 2 3 1 3 2 -> 1 1 3 2 3 1 2 1 1 2 0 3 1 0 2 2 3 2 , 1 2 2 2 3 0 1 2 1 0 2 3 0 0 0 1 1 2 -> 1 1 2 0 0 2 3 2 0 1 2 1 1 2 0 3 0 2 , 1 2 2 3 0 1 3 1 2 1 2 0 3 2 0 0 3 0 -> 1 2 1 1 1 2 3 3 2 0 2 3 2 3 0 0 0 0 , 1 3 2 2 2 1 0 1 0 0 2 0 3 2 1 0 1 0 -> 1 0 3 0 2 0 2 1 2 3 2 0 1 2 0 1 1 0 , 1 3 2 3 1 2 1 2 3 0 0 1 1 0 3 1 2 2 -> 1 3 2 1 1 2 3 1 0 0 2 3 0 3 1 1 2 2 , 2 0 0 2 2 2 0 1 1 2 2 1 0 3 1 3 2 2 -> 2 0 0 2 1 3 1 1 0 1 2 2 0 2 2 3 2 2 , 2 0 2 0 2 1 0 3 3 0 0 3 3 1 3 3 0 3 -> 2 0 0 0 1 3 0 3 2 3 2 0 3 3 0 3 1 3 , 2 0 2 1 1 0 3 1 0 0 2 2 1 0 2 2 1 2 -> 2 0 1 2 0 2 0 2 2 1 2 0 1 1 0 3 1 2 , 2 0 2 2 2 2 0 2 0 1 2 3 0 0 0 3 0 0 -> 2 3 0 0 2 0 3 2 0 2 0 2 1 0 0 2 2 0 , 2 1 0 1 1 3 2 2 1 1 3 2 3 0 3 1 2 3 -> 2 3 3 0 2 3 1 1 2 0 1 1 1 3 2 1 2 3 , 2 1 0 2 1 2 0 0 3 1 2 2 2 1 2 1 3 0 -> 2 1 3 1 0 2 1 2 0 2 1 2 1 2 3 0 2 0 , 2 1 1 2 2 2 1 0 2 3 0 0 3 2 1 3 2 2 -> 2 0 0 2 3 2 2 1 2 2 1 0 1 3 1 3 2 2 , 2 1 2 0 1 1 1 1 2 2 1 0 2 1 3 3 0 0 -> 2 0 1 1 3 2 2 0 1 1 0 2 1 1 2 3 1 0 , 2 2 0 2 2 0 3 3 3 3 3 0 2 2 3 0 1 2 -> 2 3 0 3 2 2 0 1 2 0 3 2 3 2 3 3 0 2 , 2 2 1 1 1 2 3 2 0 3 3 3 0 1 3 3 2 1 -> 2 0 1 2 3 3 0 1 2 3 2 1 3 1 3 3 2 1 , 2 2 1 2 2 1 3 0 1 1 3 0 2 1 0 0 1 2 -> 2 1 3 1 2 2 0 0 1 3 2 1 0 2 1 0 1 2 , 2 2 2 0 2 2 2 2 1 2 0 0 1 3 1 1 2 0 -> 2 1 2 0 1 2 0 2 3 2 2 2 1 1 0 2 2 0 , 2 2 2 1 0 1 3 1 2 0 1 0 1 0 2 2 0 0 -> 2 3 2 1 2 0 2 0 1 2 0 1 2 1 1 0 0 0 , 2 2 2 1 2 2 3 2 3 0 1 0 0 1 3 3 0 3 -> 2 3 0 3 2 1 2 1 3 2 0 2 0 0 3 2 1 3 , 2 2 2 1 3 1 2 1 0 2 2 2 0 1 0 2 2 2 -> 2 2 2 2 2 2 0 2 1 2 3 1 0 1 2 1 0 2 , 2 2 2 2 0 2 0 0 1 3 0 1 3 3 1 2 1 2 -> 2 2 1 1 1 2 3 0 0 3 0 3 2 1 2 2 0 2 , 2 2 2 2 3 0 2 3 1 3 3 2 2 1 1 1 0 2 -> 2 2 0 1 2 2 1 3 2 3 3 1 2 3 2 0 1 2 , 2 2 2 2 3 2 0 3 3 3 3 0 2 2 3 3 0 2 -> 2 3 3 3 3 3 2 3 2 2 2 3 2 0 0 0 2 2 , 2 2 2 3 2 3 3 3 3 2 2 0 1 0 2 1 1 2 -> 2 0 1 2 3 2 1 1 3 2 0 2 3 3 2 2 3 2 , 2 2 3 1 2 0 2 1 2 2 1 0 1 3 3 1 1 0 -> 2 1 1 3 2 3 2 0 2 1 2 1 1 0 0 2 3 1 , 2 3 0 2 0 0 1 3 0 0 0 1 2 0 3 2 2 2 -> 2 0 0 2 0 3 1 3 1 0 0 2 2 0 3 2 0 2 , 2 3 1 0 2 2 1 2 3 0 2 1 3 1 1 3 2 2 -> 2 0 2 3 2 3 1 1 3 2 1 3 2 1 0 1 2 2 , 2 3 3 0 0 1 0 0 0 0 2 1 2 2 2 1 2 2 -> 2 2 0 0 2 2 0 1 2 1 0 1 0 3 3 0 2 2 , 2 3 3 1 0 2 2 0 3 2 2 1 3 2 1 2 0 2 -> 2 3 2 2 2 0 1 1 3 3 2 1 3 2 0 2 0 2 , 3 0 0 0 0 0 2 2 1 2 0 1 1 2 1 1 2 2 -> 0 2 0 0 2 1 1 1 2 0 2 1 3 1 0 0 2 2 , 3 0 0 1 3 0 2 2 1 0 2 0 1 3 1 3 2 2 -> 3 0 2 0 2 0 0 2 1 1 2 3 3 1 0 3 1 2 , 3 0 3 1 2 2 2 2 1 2 1 0 3 0 1 0 3 0 -> 3 0 1 2 0 0 2 3 0 1 3 0 2 3 1 1 2 2 , 3 1 0 2 2 2 3 0 2 0 2 2 2 2 3 3 0 2 -> 3 2 3 2 3 2 0 1 2 2 3 2 0 0 0 2 2 2 , 3 1 0 3 2 0 3 3 3 3 3 3 2 2 1 2 1 3 -> 3 2 3 0 3 2 1 0 1 3 3 2 3 3 3 2 1 3 , 3 1 0 3 2 1 2 2 0 2 0 0 0 3 0 0 0 0 -> 0 2 3 2 3 2 0 0 1 0 0 2 0 3 0 1 0 0 , 3 1 2 2 0 3 0 0 1 1 0 0 3 0 1 0 3 1 -> 3 3 2 3 2 1 1 0 0 0 1 0 0 0 0 1 3 1 , 3 1 2 2 2 1 0 2 3 1 0 0 0 0 2 2 1 1 -> 0 2 3 1 2 2 1 0 0 1 0 0 2 2 3 2 1 1 , 3 1 3 1 3 2 2 2 2 3 3 3 1 3 2 2 0 0 -> 3 2 3 3 2 0 2 1 2 1 3 2 2 1 3 3 3 0 , 3 1 3 3 2 2 3 1 2 3 3 1 2 1 3 3 3 1 -> 3 3 3 2 1 3 3 1 1 2 3 2 3 3 2 3 1 1 , 3 1 3 3 3 3 3 0 3 3 1 2 3 1 2 1 2 2 -> 3 3 3 0 2 3 1 2 3 3 1 3 1 1 3 2 3 2 , 3 2 1 1 2 3 3 0 3 1 3 1 3 0 0 2 3 3 -> 3 2 3 1 3 0 3 3 2 3 1 0 1 0 2 1 3 3 , 3 2 2 2 2 2 2 2 3 3 1 0 3 2 2 2 0 2 -> 3 2 2 3 1 0 2 2 2 2 3 2 0 2 3 2 2 2 , 3 2 3 0 3 0 0 3 1 3 0 1 0 2 2 2 1 2 -> 1 1 0 0 2 3 2 3 0 2 0 0 2 3 1 3 3 2 , 3 3 0 0 1 3 0 2 2 1 0 3 3 3 0 1 3 0 -> 0 1 0 1 3 2 3 1 0 0 2 3 3 0 3 3 3 0 , 3 3 3 0 2 2 0 1 3 3 1 2 0 1 0 2 1 2 -> 3 3 1 3 0 3 2 0 1 2 1 3 2 1 2 0 0 2 , 3 3 3 1 2 3 1 2 1 1 0 2 2 2 1 3 2 1 -> 3 3 2 3 1 2 3 1 1 0 1 2 2 2 1 3 2 1 , 3 3 3 2 2 1 0 0 2 2 3 0 3 3 3 1 3 0 -> 3 3 1 3 2 0 2 3 0 0 1 2 3 2 3 3 3 0 , 3 3 3 3 3 1 3 1 1 3 0 2 0 2 1 0 1 3 -> 3 3 0 3 3 1 1 2 3 3 1 3 0 2 1 0 1 3 , 0 1 2 3 ->= 0 1 2 3 } 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, 2]->2, [2, 0]->3, [0, 3]->4, [3, 3]->5, [3, 1]->6, [2, 2]->7, [2, 1]->8, [1, 1]->9, [2, 3]->10, [1, 0]->11, [3, 0]->12, [3, 2]->13, [1, 3]->14, [0, 2]->15 }, it remains to prove termination of the 1296-rule system { 0 0 0 1 2 3 0 4 5 6 2 7 8 9 2 7 10 6 11 -> 0 4 12 1 2 10 13 7 3 0 1 2 7 10 6 9 11 1 11 , 0 0 0 4 5 6 14 12 15 10 6 9 2 7 7 3 15 3 0 -> 0 1 11 0 0 1 2 10 13 8 14 5 13 3 15 10 13 3 0 , 0 0 1 11 1 14 13 10 5 13 8 11 1 11 15 7 8 11 0 -> 0 4 6 9 14 13 7 10 13 3 0 0 0 1 9 2 8 11 0 , 0 1 11 1 11 15 7 3 0 1 14 6 2 10 12 15 7 7 3 -> 0 1 11 1 9 2 10 6 2 3 0 15 7 10 12 15 3 15 3 , 0 1 11 1 14 6 14 12 1 2 10 12 0 4 6 14 6 9 11 -> 0 1 9 14 13 10 12 4 6 9 11 0 4 6 11 4 6 9 11 , 0 1 11 15 3 0 0 4 5 12 1 9 2 7 3 0 0 0 0 -> 0 1 11 1 14 5 12 15 3 15 3 0 1 11 15 3 0 0 0 , 0 1 14 13 7 8 14 6 11 4 6 2 3 0 0 1 11 15 3 -> 0 1 14 12 15 3 4 12 1 2 7 8 9 9 14 12 0 15 3 ,
popout
output may be truncated. 'popout' for the full output.
job log
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all output
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