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SRS Relative pair #487521417
details
property
value
status
complete
benchmark
random-86.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
MultumNonMulta 3.16 29 June 2020 60G
configuration
default
runtime (wallclock)
0.944118976593 seconds
cpu usage
2.414855454
max memory
5.74959616E8
stage attributes
key
value
output-size
9176
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 { c->0, a->1, b->2 }, it remains to prove termination of the 6-rule system { 0 0 1 -> 2 1 0 , 2 2 2 -> 1 1 1 , 0 1 2 ->= 1 1 1 , 0 1 2 ->= 1 0 1 , 0 2 0 ->= 0 2 2 , 2 1 2 ->= 2 2 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, 0]->2, [0, 2]->3, [2, 1]->4, [2, 2]->5, [2, 0]->6, [1, 1]->7, [1, 2]->8 }, it remains to prove termination of the 54-rule system { 0 0 1 2 -> 3 4 2 0 , 3 5 5 6 -> 1 7 7 2 , 0 1 8 6 ->= 1 7 7 2 , 0 1 8 6 ->= 1 2 1 2 , 0 3 6 0 ->= 0 3 5 6 , 3 4 8 6 ->= 3 5 6 0 , 0 0 1 7 -> 3 4 2 1 , 3 5 5 4 -> 1 7 7 7 , 0 1 8 4 ->= 1 7 7 7 , 0 1 8 4 ->= 1 2 1 7 , 0 3 6 1 ->= 0 3 5 4 , 3 4 8 4 ->= 3 5 6 1 , 0 0 1 8 -> 3 4 2 3 , 3 5 5 5 -> 1 7 7 8 , 0 1 8 5 ->= 1 7 7 8 , 0 1 8 5 ->= 1 2 1 8 , 0 3 6 3 ->= 0 3 5 5 , 3 4 8 5 ->= 3 5 6 3 , 2 0 1 2 -> 8 4 2 0 , 8 5 5 6 -> 7 7 7 2 , 2 1 8 6 ->= 7 7 7 2 , 2 1 8 6 ->= 7 2 1 2 , 2 3 6 0 ->= 2 3 5 6 , 8 4 8 6 ->= 8 5 6 0 , 2 0 1 7 -> 8 4 2 1 , 8 5 5 4 -> 7 7 7 7 , 2 1 8 4 ->= 7 7 7 7 , 2 1 8 4 ->= 7 2 1 7 , 2 3 6 1 ->= 2 3 5 4 , 8 4 8 4 ->= 8 5 6 1 , 2 0 1 8 -> 8 4 2 3 , 8 5 5 5 -> 7 7 7 8 , 2 1 8 5 ->= 7 7 7 8 , 2 1 8 5 ->= 7 2 1 8 , 2 3 6 3 ->= 2 3 5 5 , 8 4 8 5 ->= 8 5 6 3 , 6 0 1 2 -> 5 4 2 0 , 5 5 5 6 -> 4 7 7 2 , 6 1 8 6 ->= 4 7 7 2 , 6 1 8 6 ->= 4 2 1 2 , 6 3 6 0 ->= 6 3 5 6 , 5 4 8 6 ->= 5 5 6 0 , 6 0 1 7 -> 5 4 2 1 , 5 5 5 4 -> 4 7 7 7 , 6 1 8 4 ->= 4 7 7 7 , 6 1 8 4 ->= 4 2 1 7 , 6 3 6 1 ->= 6 3 5 4 , 5 4 8 4 ->= 5 5 6 1 , 6 0 1 8 -> 5 4 2 3 , 5 5 5 5 -> 4 7 7 8 , 6 1 8 5 ->= 4 7 7 8 , 6 1 8 5 ->= 4 2 1 8 , 6 3 6 3 ->= 6 3 5 5 , 5 4 8 5 ->= 5 5 6 3 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 5: 0 is interpreted by / \ | 1 0 0 0 0 | | 0 1 0 0 0 | | 0 0 1 0 0 | | 0 0 0 0 0 | | 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 | | 0 1 0 0 0 | | 0 0 0 1 0 | | 0 0 0 0 0 | | 0 0 0 0 0 | \ / 2 is interpreted by
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