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SRS Relative pair #487521077
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
n149.star.cs.uiowa.edu
space
Waldmann_06_relative
run statistics
property
value
solver
MultumNonMulta 3.16 29 June 2020 60G
configuration
default
runtime (wallclock)
0.769243001938 seconds
cpu usage
1.629226096
max memory
4.53779456E8
stage attributes
key
value
output-size
2894
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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 } The system was reversed. After renaming modulo { 0->0, 1->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 |
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