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SRS Relative pair #487082053
details
property
value
status
complete
benchmark
r3.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
Waldmann_06_relative
run statistics
property
value
solver
MultumNonMulta 20 June 2020 20G sparse
configuration
default
runtime (wallclock)
0.558305 seconds
cpu usage
1.06684
user time
0.903683
system time
0.163161
max virtual memory
113188.0
max residence set size
174736.0
stage attributes
key
value
starexec-result
YES
output
YES After renaming modulo { a->0, b->1 }, it remains to prove termination of the 2-rule system { 0 0 -> , 0 0 ->= 1 0 0 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, 0]->2, [1, 1]->3 }, it remains to prove termination of the 8-rule system { 0 0 0 -> 0 , 0 0 0 ->= 1 2 0 0 1 2 , 0 0 1 -> 1 , 0 0 1 ->= 1 2 0 0 1 3 , 2 0 0 -> 2 , 2 0 0 ->= 3 2 0 0 1 2 , 2 0 1 -> 3 , 2 0 1 ->= 3 2 0 0 1 3 } 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 1 0 | | 0 1 0 0 | | 0 0 0 1 | | 0 1 1 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 0 | | 0 0 0 0 | \ / 3 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, 3->3 }, it remains to prove termination of the 6-rule system { 0 0 1 -> 1 , 0 0 1 ->= 1 2 0 0 1 3 , 2 0 0 -> 2 , 2 0 0 ->= 3 2 0 0 1 2 , 2 0 1 -> 3 , 2 0 1 ->= 3 2 0 0 1 3 } 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 1 | | 0 0 1 0 | \ / 1 is interpreted by / \ | 1 0 0 0 | | 0 1 0 0 | | 0 0 0 0 | | 0 1 0 0 | \ / 2 is interpreted by / \ | 1 0 1 0 | | 0 1 0 0 | | 0 0 0 0 | | 0 0 0 0 | \ / 3 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, 3->3 }, it remains to prove termination of the 4-rule system
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