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SRS Relative pair #487082133
details
property
value
status
complete
benchmark
rel09.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Zantema_06_relative
run statistics
property
value
solver
MultumNonMulta 20 June 2020 20G sparse
configuration
default
runtime (wallclock)
9.44967 seconds
cpu usage
32.9607
user time
31.2897
system time
1.67101
max virtual memory
2.558622E7
max residence set size
4219680.0
stage attributes
key
value
starexec-result
YES
output
YES After renaming modulo { b->0, q->1, p->2, 0->3, 1->4 }, it remains to prove termination of the 6-rule system { 0 1 0 -> 0 2 0 , 3 2 3 ->= 1 , 4 2 4 ->= 1 , 3 1 3 ->= 1 , 4 1 4 ->= 1 , 2 ->= 4 2 4 3 4 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 4: 0 is interpreted by / \ | 1 0 0 0 | | 0 1 0 0 | | 0 0 0 0 | | 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 | | 0 1 0 0 | | 0 0 0 0 | | 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 | | 0 1 0 0 | | 0 0 0 1 | | 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 | | 0 1 0 0 | | 0 0 0 0 | | 0 1 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 | | 0 1 0 0 | | 0 0 0 0 | | 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 4->3, 3->4 }, it remains to prove termination of the 5-rule system { 0 1 0 -> 0 2 0 , 3 2 3 ->= 1 , 4 1 4 ->= 1 , 3 1 3 ->= 1 , 2 ->= 3 2 3 4 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, 0]->2, [0, 2]->3, [2, 0]->4, [0, 3]->5, [3, 2]->6, [2, 3]->7, [3, 0]->8, [0, 4]->9, [4, 1]->10, [1, 4]->11, [4, 0]->12, [3, 1]->13, [1, 3]->14, [3, 4]->15, [4, 3]->16, [1, 1]->17, [2, 1]->18, [1, 2]->19, [4, 2]->20, [2, 2]->21, [3, 3]->22, [4, 4]->23, [2, 4]->24 }, it remains to prove termination of the 125-rule system { 0 1 2 0 -> 0 3 4 0 , 5 6 7 8 ->= 1 2 , 9 10 11 12 ->= 1 2 , 5 13 14 8 ->= 1 2 , 3 4 ->= 5 6 7 15 16 8 , 0 1 2 1 -> 0 3 4 1 , 5 6 7 13 ->= 1 17 , 9 10 11 10 ->= 1 17 , 5 13 14 13 ->= 1 17 , 3 18 ->= 5 6 7 15 16 13 , 0 1 2 3 -> 0 3 4 3 , 5 6 7 6 ->= 1 19 , 9 10 11 20 ->= 1 19 , 5 13 14 6 ->= 1 19 , 3 21 ->= 5 6 7 15 16 6 , 0 1 2 5 -> 0 3 4 5 , 5 6 7 22 ->= 1 14 , 9 10 11 16 ->= 1 14 , 5 13 14 22 ->= 1 14 , 3 7 ->= 5 6 7 15 16 22 , 0 1 2 9 -> 0 3 4 9 , 5 6 7 15 ->= 1 11 , 9 10 11 23 ->= 1 11 , 5 13 14 15 ->= 1 11 , 3 24 ->= 5 6 7 15 16 15 , 2 1 2 0 -> 2 3 4 0 , 14 6 7 8 ->= 17 2 , 11 10 11 12 ->= 17 2 , 14 13 14 8 ->= 17 2 , 19 4 ->= 14 6 7 15 16 8 , 2 1 2 1 -> 2 3 4 1 , 14 6 7 13 ->= 17 17 , 11 10 11 10 ->= 17 17 , 14 13 14 13 ->= 17 17 ,
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