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SRS Relative pair #487521237
details
property
value
status
complete
benchmark
random-45.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_19
run statistics
property
value
solver
MultumNonMulta 3.16 29 June 2020 60G
configuration
default
runtime (wallclock)
5.17115998268 seconds
cpu usage
18.947549354
max memory
3.919654912E9
stage attributes
key
value
output-size
41356
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES After renaming modulo { c->0, a->1, b->2 }, it remains to prove termination of the 6-rule system { 0 0 0 -> 0 1 1 , 2 1 2 -> 2 2 0 , 0 1 1 -> 0 2 1 , 2 1 1 -> 1 2 0 , 2 2 0 -> 1 1 0 , 1 0 0 ->= 2 1 0 } 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, 0]->3, [0, 2]->4, [2, 1]->5, [1, 2]->6, [2, 0]->7, [2, 2]->8 }, it remains to prove termination of the 54-rule system { 0 0 0 0 -> 0 1 2 3 , 4 5 6 7 -> 4 8 7 0 , 0 1 2 3 -> 0 4 5 3 , 4 5 2 3 -> 1 6 7 0 , 4 8 7 0 -> 1 2 3 0 , 1 3 0 0 ->= 4 5 3 0 , 0 0 0 1 -> 0 1 2 2 , 4 5 6 5 -> 4 8 7 1 , 0 1 2 2 -> 0 4 5 2 , 4 5 2 2 -> 1 6 7 1 , 4 8 7 1 -> 1 2 3 1 , 1 3 0 1 ->= 4 5 3 1 , 0 0 0 4 -> 0 1 2 6 , 4 5 6 8 -> 4 8 7 4 , 0 1 2 6 -> 0 4 5 6 , 4 5 2 6 -> 1 6 7 4 , 4 8 7 4 -> 1 2 3 4 , 1 3 0 4 ->= 4 5 3 4 , 3 0 0 0 -> 3 1 2 3 , 6 5 6 7 -> 6 8 7 0 , 3 1 2 3 -> 3 4 5 3 , 6 5 2 3 -> 2 6 7 0 , 6 8 7 0 -> 2 2 3 0 , 2 3 0 0 ->= 6 5 3 0 , 3 0 0 1 -> 3 1 2 2 , 6 5 6 5 -> 6 8 7 1 , 3 1 2 2 -> 3 4 5 2 , 6 5 2 2 -> 2 6 7 1 , 6 8 7 1 -> 2 2 3 1 , 2 3 0 1 ->= 6 5 3 1 , 3 0 0 4 -> 3 1 2 6 , 6 5 6 8 -> 6 8 7 4 , 3 1 2 6 -> 3 4 5 6 , 6 5 2 6 -> 2 6 7 4 , 6 8 7 4 -> 2 2 3 4 , 2 3 0 4 ->= 6 5 3 4 , 7 0 0 0 -> 7 1 2 3 , 8 5 6 7 -> 8 8 7 0 , 7 1 2 3 -> 7 4 5 3 , 8 5 2 3 -> 5 6 7 0 , 8 8 7 0 -> 5 2 3 0 , 5 3 0 0 ->= 8 5 3 0 , 7 0 0 1 -> 7 1 2 2 , 8 5 6 5 -> 8 8 7 1 , 7 1 2 2 -> 7 4 5 2 , 8 5 2 2 -> 5 6 7 1 , 8 8 7 1 -> 5 2 3 1 , 5 3 0 1 ->= 8 5 3 1 , 7 0 0 4 -> 7 1 2 6 , 8 5 6 8 -> 8 8 7 4 , 7 1 2 6 -> 7 4 5 6 , 8 5 2 6 -> 5 6 7 4 , 8 8 7 4 -> 5 2 3 4 , 5 3 0 4 ->= 8 5 3 4 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 1 | | 0 1 | \ / 1 is interpreted by / \ | 1 0 | | 0 1 | \ / 2 is interpreted by / \ | 1 1 | | 0 1 | \ / 3 is interpreted by / \
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