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SRS Relative pair #487082693
details
property
value
status
complete
benchmark
5109.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
ICFP_2010_relative
run statistics
property
value
solver
MultumNonMulta 20 June 2020 20G sparse
configuration
default
runtime (wallclock)
2.33172 seconds
cpu usage
7.76734
user time
6.80739
system time
0.959953
max virtual memory
2.5604336E7
max residence set size
1218660.0
stage attributes
key
value
starexec-result
YES
output
YES After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, it remains to prove termination of the 60-rule system { 0 0 0 1 -> 2 3 2 2 4 2 2 4 0 5 , 1 0 5 0 -> 1 2 2 4 4 4 2 2 1 1 , 0 3 0 1 4 -> 2 2 4 2 4 0 5 5 1 4 , 0 4 0 1 0 -> 2 0 5 1 1 1 1 3 3 5 , 0 5 0 0 1 -> 0 5 1 1 1 4 4 3 1 5 , 0 0 3 4 5 2 -> 2 3 4 2 4 1 4 2 1 1 , 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 0 0 4 5 1 0 -> 3 1 4 4 3 1 2 4 1 1 , 0 0 4 5 1 4 -> 3 4 2 4 1 4 2 0 5 4 , 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 0 3 0 0 2 5 -> 2 4 0 3 2 4 2 5 2 5 , 0 4 0 0 2 2 -> 2 2 4 0 3 2 3 0 2 2 , 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 0 5 0 0 3 4 -> 2 4 2 0 1 4 5 2 2 4 , 0 5 0 3 4 1 -> 2 4 3 2 1 4 3 1 3 1 , 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 2 1 0 4 5 4 -> 2 2 4 2 1 0 2 3 3 4 , 4 1 0 0 5 0 -> 4 1 5 1 4 4 1 1 5 1 , 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 5 0 0 0 4 5 -> 5 0 5 4 1 1 4 4 3 5 , 5 0 3 5 0 0 -> 5 2 2 3 1 5 1 1 5 5 , 5 0 4 0 5 0 -> 0 5 4 4 4 2 4 4 2 0 , 5 0 4 5 4 4 -> 2 1 5 2 4 4 4 1 4 2 , 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 0 0 0 3 4 0 5 -> 0 1 5 4 1 1 5 1 1 5 , 0 0 3 4 5 0 4 -> 3 2 1 1 5 4 5 3 5 3 , 0 1 0 3 0 5 3 -> 2 2 0 2 1 4 3 5 5 3 , 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 0 2 5 0 3 0 5 -> 2 4 5 2 4 0 0 1 1 5 , 0 3 2 0 4 0 1 -> 3 2 0 0 4 2 4 1 3 1 , 0 3 5 2 0 0 3 -> 2 0 2 3 3 4 3 4 2 3 , 0 5 3 0 4 0 2 -> 2 2 1 0 5 1 3 2 1 4 , 0 5 3 2 2 5 0 -> 2 3 2 1 2 2 4 1 5 1 , 1 0 0 1 0 4 0 -> 1 4 1 3 2 2 1 5 4 5 , 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 1 0 1 1 1 0 4 -> 1 4 1 1 4 0 3 3 0 2 , 1 0 1 4 5 0 5 -> 4 1 1 1 1 4 1 0 1 5 , 1 0 4 5 4 5 0 -> 2 2 1 2 0 2 5 3 1 1 , 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 1 5 0 0 3 0 5 -> 1 1 4 1 5 0 5 5 1 5 , 2 5 1 3 3 0 1 -> 2 1 3 4 3 2 4 5 5 5 , 4 0 0 1 0 3 4 -> 4 3 2 3 3 1 5 5 2 0 , 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 5 1 3 0 4 0 0 -> 5 1 4 1 4 5 2 2 3 5 , 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 , 0 1 0 4 4 1 ->= 2 2 0 2 4 5 5 4 3 1 , 0 1 0 5 3 4 ->= 0 1 3 3 2 4 1 3 2 4 , 1 3 5 2 0 4 ->= 1 5 2 2 4 2 2 1 5 2 , 2 0 3 0 1 2 ->= 2 2 1 5 2 4 2 1 0 2 , 4 0 4 0 3 4 ->= 4 2 1 4 2 2 4 5 3 2 , 0 1 0 0 5 0 4 ->= 2 0 5 2 3 0 3 2 5 2 , 0 5 2 5 0 0 2 ->= 0 3 1 5 1 5 4 4 5 2 , 4 0 0 5 2 1 4 ->= 4 2 5 2 3 2 2 4 1 4 , 5 3 4 5 4 5 4 ->= 4 4 2 4 4 0 3 1 3 4 } 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, 3]->4, [3, 2]->5, [2, 2]->6, [2, 4]->7, [4, 2]->8, [4, 0]->9, [0, 5]->10, [5, 0]->11, [1, 2]->12, [4, 4]->13, [2, 1]->14, [1, 1]->15, [0, 3]->16, [3, 0]->17, [1, 4]->18, [5, 5]->19, [5, 1]->20, [0, 4]->21, [2, 0]->22, [1, 3]->23, [3, 3]->24, [3, 5]->25, [4, 3]->26, [3, 1]->27, [1, 5]->28, [3, 4]->29, [4, 5]->30, [5, 2]->31, [4, 1]->32, [2, 5]->33, [5, 4]->34, [5, 3]->35 }, it remains to prove termination of the 2160-rule system { 0 0 0 1 2 -> 3 4 5 6 7 8 6 7 9 10 11 , 1 2 10 11 0 -> 1 12 6 7 13 13 8 6 14 15 2 , 0 16 17 1 18 9 -> 3 6 7 8 7 9 10 19 20 18 9 , 0 21 9 1 2 0 -> 3 22 10 20 15 15 15 23 24 25 11 , 0 10 11 0 1 2 -> 0 10 20 15 15 18 13 26 27 28 11 , 0 0 16 29 30 31 22 -> 3 4 29 8 7 32 18 8 14 15 2 , 0 0 16 25 31 33 11 -> 3 7 32 15 12 6 33 31 4 25 11 , 0 0 21 30 20 2 0 -> 16 27 18 13 26 27 12 7 32 15 2 , 0 0 21 30 20 18 9 -> 16 29 8 7 32 18 8 22 10 34 9 , 0 1 18 30 19 35 17 -> 3 6 7 13 13 30 11 16 5 7 9 , 0 16 17 0 3 33 11 -> 3 7 9 16 5 7 8 33 31 33 11 , 0 21 9 0 3 6 22 -> 3 6 7 9 16 5 4 17 3 6 22 , 0 21 26 27 2 3 22 -> 3 6 6 7 32 15 2 16 25 31 22 , 0 10 11 0 16 29 9 -> 3 7 8 22 1 18 30 31 6 7 9 , 0 10 11 16 29 32 2 -> 3 7 26 5 14 18 26 27 23 27 2 , 1 28 11 0 0 3 22 -> 1 15 15 28 19 20 28 31 6 7 9 , 1 28 19 11 21 32 2 -> 1 15 18 13 8 7 26 24 5 14 2 , 3 14 2 21 30 34 9 -> 3 6 7 8 14 2 3 4 24 29 9 , 21 32 2 0 10 11 0 -> 21 32 28 20 18 13 32 15 28 20 2 , 21 30 11 16 5 6 22 -> 21 8 6 7 8 33 31 6 7 8 22 , 10 11 0 0 21 30 11 -> 10 11 10 34 32 15 18 13 26 25 11 , 10 11 16 25 11 0 0 -> 10 31 6 4 27 28 20 15 28 19 11 , 10 11 21 9 10 11 0 -> 0 10 34 13 13 8 7 13 8 22 0 , 10 11 21 30 34 13 9 -> 3 14 28 31 7 13 13 32 18 8 22 , 10 20 23 25 19 11 0 -> 10 31 4 5 14 28 34 13 13 32 2 , 10 31 33 11 1 12 22 -> 10 31 7 8 7 9 1 28 31 7 9 , 0 0 0 16 29 9 10 11 -> 0 1 28 34 32 15 28 20 15 28 11 , 0 0 16 29 30 11 21 9 -> 16 5 14 15 28 34 30 35 25 35 17 ,
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