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SRS Relative pair #487521482
details
property
value
status
complete
benchmark
random-134.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n093.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
MultumNonMulta 3.16 29 June 2020 60G
configuration
default
runtime (wallclock)
0.597357988358 seconds
cpu usage
1.018751601
max memory
3.6337664E8
stage attributes
key
value
output-size
5190
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, c->1, b->2 }, it remains to prove termination of the 6-rule system { 0 0 1 -> 1 1 1 , 0 1 2 -> 0 0 1 , 2 1 0 -> 2 0 2 , 0 2 1 -> 2 0 1 , 2 1 2 ->= 0 2 1 , 0 1 2 ->= 1 1 2 } 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, [1, 2]->4, [2, 0]->5, [0, 2]->6, [2, 1]->7, [2, 2]->8 }, it remains to prove termination of the 54-rule system { 0 0 1 2 -> 1 3 3 2 , 0 1 4 5 -> 0 0 1 2 , 6 7 2 0 -> 6 5 6 5 , 0 6 7 2 -> 6 5 1 2 , 6 7 4 5 ->= 0 6 7 2 , 0 1 4 5 ->= 1 3 4 5 , 0 0 1 3 -> 1 3 3 3 , 0 1 4 7 -> 0 0 1 3 , 6 7 2 1 -> 6 5 6 7 , 0 6 7 3 -> 6 5 1 3 , 6 7 4 7 ->= 0 6 7 3 , 0 1 4 7 ->= 1 3 4 7 , 0 0 1 4 -> 1 3 3 4 , 0 1 4 8 -> 0 0 1 4 , 6 7 2 6 -> 6 5 6 8 , 0 6 7 4 -> 6 5 1 4 , 6 7 4 8 ->= 0 6 7 4 , 0 1 4 8 ->= 1 3 4 8 , 2 0 1 2 -> 3 3 3 2 , 2 1 4 5 -> 2 0 1 2 , 4 7 2 0 -> 4 5 6 5 , 2 6 7 2 -> 4 5 1 2 , 4 7 4 5 ->= 2 6 7 2 , 2 1 4 5 ->= 3 3 4 5 , 2 0 1 3 -> 3 3 3 3 , 2 1 4 7 -> 2 0 1 3 , 4 7 2 1 -> 4 5 6 7 , 2 6 7 3 -> 4 5 1 3 , 4 7 4 7 ->= 2 6 7 3 , 2 1 4 7 ->= 3 3 4 7 , 2 0 1 4 -> 3 3 3 4 , 2 1 4 8 -> 2 0 1 4 , 4 7 2 6 -> 4 5 6 8 , 2 6 7 4 -> 4 5 1 4 , 4 7 4 8 ->= 2 6 7 4 , 2 1 4 8 ->= 3 3 4 8 , 5 0 1 2 -> 7 3 3 2 , 5 1 4 5 -> 5 0 1 2 , 8 7 2 0 -> 8 5 6 5 , 5 6 7 2 -> 8 5 1 2 , 8 7 4 5 ->= 5 6 7 2 , 5 1 4 5 ->= 7 3 4 5 , 5 0 1 3 -> 7 3 3 3 , 5 1 4 7 -> 5 0 1 3 , 8 7 2 1 -> 8 5 6 7 , 5 6 7 3 -> 8 5 1 3 , 8 7 4 7 ->= 5 6 7 3 , 5 1 4 7 ->= 7 3 4 7 , 5 0 1 4 -> 7 3 3 4 , 5 1 4 8 -> 5 0 1 4 , 8 7 2 6 -> 8 5 6 8 , 5 6 7 4 -> 8 5 1 4 , 8 7 4 8 ->= 5 6 7 4 , 5 1 4 8 ->= 7 3 4 8 } 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 1 | | 0 1 | \ / 2 is interpreted by / \ | 1 1 | | 0 1 | \ / 3 is interpreted by / \
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