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SRS Relative pair #487082298
details
property
value
status
complete
benchmark
88143.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
ICFP_2010_relative
run statistics
property
value
solver
MultumNonMulta 20 June 2020 20G sparse
configuration
default
runtime (wallclock)
0.880959 seconds
cpu usage
2.32083
user time
2.05802
system time
0.262809
max virtual memory
2.5121136E7
max residence set size
463588.0
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 29-rule system { 0 0 0 1 1 1 2 3 3 1 3 3 2 -> 0 2 2 1 0 1 2 3 0 0 3 2 2 3 1 2 2 , 0 0 0 3 3 1 1 1 3 3 1 3 2 -> 3 0 2 1 0 3 3 3 1 2 2 2 1 2 1 2 2 , 0 0 2 0 3 1 3 2 1 0 0 2 3 -> 0 2 2 2 1 3 3 3 2 2 0 3 1 3 2 1 2 , 0 1 0 0 3 3 2 1 2 0 1 2 3 -> 3 2 2 1 2 2 0 3 0 2 2 2 1 2 2 3 1 , 0 1 2 0 1 1 0 2 2 1 2 0 2 -> 2 0 3 3 2 2 1 0 3 3 3 3 2 2 2 3 3 , 0 1 2 1 1 1 2 2 0 1 3 2 0 -> 2 3 2 0 1 2 3 0 3 3 2 1 3 3 1 3 3 , 0 2 2 0 0 3 1 0 3 2 1 3 0 -> 3 1 2 2 1 3 3 2 2 3 0 2 2 1 1 1 0 , 0 2 3 3 1 0 3 3 0 2 3 1 1 -> 2 1 3 2 2 2 0 2 2 2 3 3 2 2 2 0 3 , 0 3 0 3 0 2 3 0 0 3 1 2 1 -> 3 1 1 2 2 3 0 1 2 2 2 2 3 2 2 2 0 , 0 3 0 3 1 0 1 2 2 0 3 1 3 -> 2 3 2 2 3 0 3 0 3 3 2 2 1 2 2 0 3 , 1 0 0 1 2 2 2 3 2 3 2 0 1 -> 1 2 1 0 2 2 1 2 1 0 3 3 2 2 2 3 3 , 1 0 2 3 0 3 2 3 2 2 3 2 3 -> 1 3 2 2 1 2 2 2 3 3 2 2 3 1 2 1 2 , 1 3 1 0 1 1 3 2 2 1 1 2 1 -> 1 2 3 2 3 2 1 2 2 2 2 2 2 0 1 2 2 , 2 0 0 1 3 0 3 1 3 0 1 2 1 -> 2 2 3 3 0 1 0 0 3 3 3 1 0 2 2 1 2 , 2 0 0 2 3 0 3 1 0 0 2 1 3 -> 2 0 2 1 2 2 2 2 3 2 3 1 3 3 1 3 1 , 2 1 0 2 2 0 0 1 3 2 0 3 3 -> 2 0 2 2 1 3 2 1 1 1 2 2 1 3 3 3 3 , 2 1 0 3 0 3 0 3 3 0 2 1 1 -> 2 2 0 1 2 1 1 0 2 2 2 3 2 3 0 2 2 , 2 1 1 2 0 1 1 3 0 2 3 0 1 -> 2 2 3 3 3 3 3 2 1 0 1 2 2 3 3 2 2 , 2 1 1 3 3 0 3 2 3 2 1 1 3 -> 2 3 2 3 2 2 3 3 2 1 2 2 3 3 0 1 3 , 2 1 1 3 3 3 0 3 0 3 0 0 2 -> 2 0 2 2 0 2 1 3 3 3 2 3 3 2 3 3 2 , 2 2 0 0 1 0 2 3 0 3 0 1 0 -> 2 2 2 1 0 2 0 1 3 1 3 0 3 3 3 3 2 , 2 2 0 0 3 0 2 2 3 0 1 3 3 -> 2 2 1 1 0 1 2 1 2 0 2 2 2 0 2 2 2 , 2 2 0 3 0 1 0 2 3 2 3 1 2 -> 2 2 0 2 2 2 1 0 0 3 1 3 1 3 3 2 2 , 2 2 1 0 2 1 2 1 1 0 1 2 0 -> 2 2 0 2 0 3 1 2 2 0 1 2 2 2 2 2 2 , 2 3 1 1 0 2 3 1 2 3 3 1 1 -> 2 2 2 1 2 1 1 2 0 2 0 0 3 0 1 3 3 , 2 3 2 0 3 0 1 3 2 2 2 0 2 -> 2 1 2 2 3 0 0 1 3 2 2 3 2 2 3 3 2 , 2 3 2 1 1 1 3 2 3 2 3 2 1 -> 2 2 2 0 3 2 2 0 2 3 2 3 0 2 2 0 2 , 3 0 2 3 0 1 0 3 3 0 0 1 0 -> 3 0 0 1 2 2 3 3 3 2 0 1 2 0 3 3 2 , 1 3 2 0 2 1 2 1 2 2 1 2 0 ->= 3 2 1 2 1 2 2 1 2 2 0 2 2 0 2 2 2 } The system was reversed. After renaming modulo { 2->0, 3->1, 1->2, 0->3 }, it remains to prove termination of the 29-rule system { 0 1 1 2 1 1 0 2 2 2 3 3 3 -> 0 0 2 1 0 0 1 3 3 1 0 2 3 2 0 0 3 , 0 1 2 1 1 2 2 2 1 1 3 3 3 -> 0 0 2 0 2 0 0 0 2 1 1 1 3 2 0 3 1 , 1 0 3 3 2 0 1 2 1 3 0 3 3 -> 0 2 0 1 2 1 3 0 0 1 1 1 2 0 0 0 3 , 1 0 2 3 0 2 0 1 1 3 3 2 3 -> 2 1 0 0 2 0 0 0 3 1 3 0 0 2 0 0 1 , 0 3 0 2 0 0 3 2 2 3 0 2 3 -> 1 1 0 0 0 1 1 1 1 3 2 0 0 1 1 3 0 , 3 0 1 2 3 0 0 2 2 2 0 2 3 -> 1 1 2 1 1 2 0 1 1 3 1 0 2 3 0 1 0 , 3 1 2 0 1 3 2 1 3 3 0 0 3 -> 3 2 2 2 0 0 3 1 0 0 1 1 2 0 0 2 1 , 2 2 1 0 3 1 1 3 2 1 1 0 3 -> 1 3 0 0 0 1 1 0 0 0 3 0 0 0 1 2 0 , 2 0 2 1 3 3 1 0 3 1 3 1 3 -> 3 0 0 0 1 0 0 0 0 2 3 1 0 0 2 2 1 , 1 2 1 3 0 0 2 3 2 1 3 1 3 -> 1 3 0 0 2 0 0 1 1 3 1 3 1 0 0 1 0 , 2 3 0 1 0 1 0 0 0 2 3 3 2 -> 1 1 0 0 0 1 1 3 2 0 2 0 0 3 2 0 2 , 1 0 1 0 0 1 0 1 3 1 0 3 2 -> 0 2 0 2 1 0 0 1 1 0 0 0 2 0 0 1 2 , 2 0 2 2 0 0 1 2 2 3 2 1 2 -> 0 0 2 3 0 0 0 0 0 0 2 0 1 0 1 0 2 , 2 0 2 3 1 2 1 3 1 2 3 3 0 -> 0 2 0 0 3 2 1 1 1 3 3 2 3 1 1 0 0 , 1 2 0 3 3 2 1 3 1 0 3 3 0 -> 2 1 2 1 1 2 1 0 1 0 0 0 0 2 0 3 0 , 1 1 3 0 1 2 3 3 0 0 3 2 0 -> 1 1 1 1 2 0 0 2 2 2 0 1 2 0 0 3 0 , 2 2 0 3 1 1 3 1 3 1 3 2 0 -> 0 0 3 1 0 1 0 0 0 3 2 2 0 2 3 0 0 , 2 3 1 0 3 1 2 2 3 0 2 2 0 -> 0 0 1 1 0 0 2 3 2 0 1 1 1 1 1 0 0 , 1 2 2 0 1 0 1 3 1 1 2 2 0 -> 1 2 3 1 1 0 0 2 0 1 1 0 0 1 0 1 0 , 0 3 3 1 3 1 3 1 1 1 2 2 0 -> 0 1 1 0 1 1 0 1 1 1 2 0 3 0 0 3 0 , 3 2 3 1 3 1 0 3 2 3 3 0 0 -> 0 1 1 1 1 3 1 2 1 2 3 0 3 2 0 0 0 , 1 1 2 3 1 0 0 3 1 3 3 0 0 -> 0 0 0 3 0 0 0 3 0 2 0 2 3 2 2 0 0 , 0 2 1 0 1 0 3 2 3 1 3 0 0 -> 0 0 1 1 2 1 2 1 3 3 2 0 0 0 3 0 0 , 3 0 2 3 2 2 0 2 0 3 2 0 0 -> 0 0 0 0 0 0 2 3 0 0 2 1 3 0 3 0 0 , 2 2 1 1 0 2 1 0 3 2 2 1 0 -> 1 1 2 3 1 3 3 0 3 0 2 2 0 2 0 0 0 , 0 3 0 0 0 1 2 3 1 3 0 1 0 -> 0 1 1 0 0 1 0 0 1 2 3 3 1 0 0 2 0 , 2 0 1 0 1 0 1 2 2 2 0 1 0 -> 0 3 0 0 3 1 0 1 0 3 0 0 1 3 0 0 0 , 3 2 3 3 1 1 3 2 3 1 0 3 1 -> 0 1 1 3 0 2 3 0 1 1 1 0 0 2 3 3 1 , 3 0 2 0 0 2 0 2 0 3 0 1 2 ->= 0 0 0 3 0 0 3 0 0 2 0 0 2 0 2 0 1 } 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, 1]->2, [1, 2]->3, [2, 1]->4, [1, 0]->5, [0, 2]->6, [2, 2]->7, [2, 3]->8, [3, 3]->9, [3, 0]->10, [1, 3]->11, [3, 1]->12, [3, 2]->13, [2, 0]->14, [0, 3]->15 }, it remains to prove termination of the 464-rule system { 0 1 2 3 4 2 5 6 7 7 8 9 9 10 -> 0 0 6 4 5 0 1 11 9 12 5 6 8 13 14 0 15 10 , 0 1 3 4 2 3 7 7 4 2 11 9 9 10 -> 0 0 6 14 6 14 0 0 6 4 2 2 11 13 14 15 12 5 , 1 5 15 9 13 14 1 3 4 11 10 15 9 10 -> 0 6 14 1 3 4 11 10 0 1 2 2 3 14 0 0 15 10 , 1 5 6 8 10 6 14 1 2 11 9 13 8 10 -> 6 4 5 0 6 14 0 0 15 12 11 10 0 6 14 0 1 5 , 0 15 10 6 14 0 15 13 7 8 10 6 8 10 -> 1 2 5 0 0 1 2 2 2 11 13 14 0 1 2 11 10 0 , 15 10 1 3 8 10 0 6 7 7 14 6 8 10 -> 1 2 3 4 2 3 14 1 2 11 12 5 6 8 10 1 5 0 , 15 12 3 14 1 11 13 4 11 9 10 0 15 10 -> 15 13 7 7 14 0 15 12 5 0 1 2 3 14 0 6 4 5 , 6 7 4 5 15 12 2 11 13 4 2 5 15 10 -> 1 11 10 0 0 1 2 5 0 0 15 10 0 0 1 3 14 0 , 6 14 6 4 11 9 12 5 15 12 11 12 11 10 -> 15 10 0 0 1 5 0 0 0 6 8 12 5 0 6 7 4 5 , 1 3 4 11 10 0 6 8 13 4 11 12 11 10 -> 1 11 10 0 6 14 0 1 2 11 12 11 12 5 0 1 5 0 , 6 8 10 1 5 1 5 0 0 6 8 9 13 14 -> 1 2 5 0 0 1 2 11 13 14 6 14 0 15 13 14 6 14 , 1 5 1 5 0 1 5 1 11 12 5 15 13 14 -> 0 6 14 6 4 5 0 1 2 5 0 0 6 14 0 1 3 14 , 6 14 6 7 14 0 1 3 7 8 13 4 3 14 -> 0 0 6 8 10 0 0 0 0 0 6 14 1 5 1 5 6 14 , 6 14 6 8 12 3 4 11 12 3 8 9 10 0 -> 0 6 14 0 15 13 4 2 2 11 9 13 8 12 2 5 0 0 , 1 3 14 15 9 13 4 11 12 5 15 9 10 0 -> 6 4 3 4 2 3 4 5 1 5 0 0 0 6 14 15 10 0 , 1 2 11 10 1 3 8 9 10 0 15 13 14 0 -> 1 2 2 2 3 14 0 6 7 7 14 1 3 14 0 15 10 0 , 6 7 14 15 12 2 11 12 11 12 11 13 14 0 -> 0 0 15 12 5 1 5 0 0 15 13 7 14 6 8 10 0 0 , 6 8 12 5 15 12 3 7 8 10 6 7 14 0 -> 0 0 1 2 5 0 6 8 13 14 1 2 2 2 2 5 0 0 , 1 3 7 14 1 5 1 11 12 2 3 7 14 0 -> 1 3 8 12 2 5 0 6 14 1 2 5 0 1 5 1 5 0 , 0 15 9 12 11 12 11 12 2 2 3 7 14 0 -> 0 1 2 5 1 2 5 1 2 2 3 14 15 10 0 15 10 0 , 15 13 8 12 11 12 5 15 13 8 9 10 0 0 -> 0 1 2 2 2 11 12 3 4 3 8 10 15 13 14 0 0 0 , 1 2 3 8 12 5 0 15 12 11 9 10 0 0 -> 0 0 0 15 10 0 0 15 10 6 14 6 8 13 7 14 0 0 , 0 6 4 5 1 5 15 13 8 12 11 10 0 0 -> 0 0 1 2 3 4 3 4 11 9 13 14 0 0 15 10 0 0 , 15 10 6 8 13 7 14 6 14 15 13 14 0 0 -> 0 0 0 0 0 0 6 8 10 0 6 4 11 10 15 10 0 0 ,
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