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SRS Relative pair #487082373
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
n150.star.cs.uiowa.edu
space
ICFP_2010_relative
run statistics
property
value
solver
MultumNonMulta 20 June 2020 20G sparse
configuration
default
runtime (wallclock)
50.205 seconds
cpu usage
160.712
user time
153.575
system time
7.13622
max virtual memory
2.5464648E7
max residence set size
1.9364152E7
stage attributes
key
value
starexec-result
YES
output
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 , 29 24 1 2 28 31 11 0 -> 25 14 9 0 29 7 7 7 24 0 0 , 29 19 30 33 16 2 1 2 -> 25 14 9 25 26 8 15 24 0 25 18 , 29 7 34 33 8 32 33 24 -> 1 17 13 14 23 13 18 0 0 25 18 , 29 8 23 30 27 17 18 0 -> 29 16 21 15 19 14 22 4 5 2 0 , 29 8 15 19 18 3 22 9 -> 29 8 15 8 15 16 6 7 16 17 18 , 29 34 12 26 34 33 8 9 -> 29 34 11 1 6 16 5 17 14 23 18 ,
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