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SRS Relative pair #487521607
details
property
value
status
complete
benchmark
random-172.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_19
run statistics
property
value
solver
MultumNonMulta 3.16 29 June 2020 60G
configuration
default
runtime (wallclock)
0.683598041534 seconds
cpu usage
1.318234664
max memory
3.95169792E8
stage attributes
key
value
output-size
3081
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 -> 2 2 1 , 2 0 1 -> 0 0 2 , 0 1 0 ->= 0 2 2 , 2 2 2 ->= 1 1 2 , 2 0 1 ->= 0 0 1 , 1 0 0 ->= 0 0 0 } The length-preserving system was inverted. After renaming modulo { 2->0, 1->1, 0->2 }, it remains to prove termination of the 6-rule system { 0 0 1 -> 2 2 1 , 2 2 0 -> 0 2 1 , 2 0 0 ->= 2 1 2 , 1 1 0 ->= 0 0 0 , 2 2 1 ->= 0 2 1 , 2 2 2 ->= 1 2 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, [0, 2]->3, [2, 2]->4, [2, 1]->5, [2, 0]->6, [1, 2]->7, [1, 1]->8 }, it remains to prove termination of the 54-rule system { 0 0 1 2 -> 3 4 5 2 , 3 4 6 0 -> 0 3 5 2 , 3 6 0 0 ->= 3 5 7 6 , 1 8 2 0 ->= 0 0 0 0 , 3 4 5 2 ->= 0 3 5 2 , 3 4 4 6 ->= 1 7 4 6 , 0 0 1 8 -> 3 4 5 8 , 3 4 6 1 -> 0 3 5 8 , 3 6 0 1 ->= 3 5 7 5 , 1 8 2 1 ->= 0 0 0 1 , 3 4 5 8 ->= 0 3 5 8 , 3 4 4 5 ->= 1 7 4 5 , 0 0 1 7 -> 3 4 5 7 , 3 4 6 3 -> 0 3 5 7 , 3 6 0 3 ->= 3 5 7 4 , 1 8 2 3 ->= 0 0 0 3 , 3 4 5 7 ->= 0 3 5 7 , 3 4 4 4 ->= 1 7 4 4 , 2 0 1 2 -> 7 4 5 2 , 7 4 6 0 -> 2 3 5 2 , 7 6 0 0 ->= 7 5 7 6 , 8 8 2 0 ->= 2 0 0 0 , 7 4 5 2 ->= 2 3 5 2 , 7 4 4 6 ->= 8 7 4 6 , 2 0 1 8 -> 7 4 5 8 , 7 4 6 1 -> 2 3 5 8 , 7 6 0 1 ->= 7 5 7 5 , 8 8 2 1 ->= 2 0 0 1 , 7 4 5 8 ->= 2 3 5 8 , 7 4 4 5 ->= 8 7 4 5 , 2 0 1 7 -> 7 4 5 7 , 7 4 6 3 -> 2 3 5 7 , 7 6 0 3 ->= 7 5 7 4 , 8 8 2 3 ->= 2 0 0 3 , 7 4 5 7 ->= 2 3 5 7 , 7 4 4 4 ->= 8 7 4 4 , 6 0 1 2 -> 4 4 5 2 , 4 4 6 0 -> 6 3 5 2 , 4 6 0 0 ->= 4 5 7 6 , 5 8 2 0 ->= 6 0 0 0 , 4 4 5 2 ->= 6 3 5 2 , 4 4 4 6 ->= 5 7 4 6 , 6 0 1 8 -> 4 4 5 8 , 4 4 6 1 -> 6 3 5 8 , 4 6 0 1 ->= 4 5 7 5 , 5 8 2 1 ->= 6 0 0 1 , 4 4 5 8 ->= 6 3 5 8 , 4 4 4 5 ->= 5 7 4 5 , 6 0 1 7 -> 4 4 5 7 , 4 4 6 3 -> 6 3 5 7 , 4 6 0 3 ->= 4 5 7 4 , 5 8 2 3 ->= 6 0 0 3 , 4 4 5 7 ->= 6 3 5 7 , 4 4 4 4 ->= 5 7 4 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 | \ /
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