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SRS Relative pair #487521232
details
property
value
status
complete
benchmark
random-39.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
MultumNonMulta 3.16 29 June 2020 60G
configuration
default
runtime (wallclock)
0.761173963547 seconds
cpu usage
1.814343019
max memory
4.53332992E8
stage attributes
key
value
output-size
8301
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 -> 0 1 1 , 2 2 1 -> 0 2 2 , 1 1 2 ->= 0 1 0 , 2 0 1 ->= 1 0 1 , 1 2 1 ->= 2 2 2 , 2 2 0 ->= 2 0 1 } The length-preserving system was inverted. After renaming modulo { 0->0, 1->1, 2->2 }, it remains to prove termination of the 6-rule system { 0 1 1 -> 0 0 1 , 0 2 2 -> 2 2 1 , 0 1 0 ->= 1 1 2 , 1 0 1 ->= 2 0 1 , 2 2 2 ->= 1 2 1 , 2 0 1 ->= 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, 1]->2, [1, 0]->3, [0, 2]->4, [2, 2]->5, [2, 0]->6, [2, 1]->7, [1, 2]->8 }, it remains to prove termination of the 54-rule system { 0 1 2 3 -> 0 0 1 3 , 0 4 5 6 -> 4 5 7 3 , 0 1 3 0 ->= 1 2 8 6 , 1 3 1 3 ->= 4 6 1 3 , 4 5 5 6 ->= 1 8 7 3 , 4 6 1 3 ->= 4 5 6 0 , 0 1 2 2 -> 0 0 1 2 , 0 4 5 7 -> 4 5 7 2 , 0 1 3 1 ->= 1 2 8 7 , 1 3 1 2 ->= 4 6 1 2 , 4 5 5 7 ->= 1 8 7 2 , 4 6 1 2 ->= 4 5 6 1 , 0 1 2 8 -> 0 0 1 8 , 0 4 5 5 -> 4 5 7 8 , 0 1 3 4 ->= 1 2 8 5 , 1 3 1 8 ->= 4 6 1 8 , 4 5 5 5 ->= 1 8 7 8 , 4 6 1 8 ->= 4 5 6 4 , 3 1 2 3 -> 3 0 1 3 , 3 4 5 6 -> 8 5 7 3 , 3 1 3 0 ->= 2 2 8 6 , 2 3 1 3 ->= 8 6 1 3 , 8 5 5 6 ->= 2 8 7 3 , 8 6 1 3 ->= 8 5 6 0 , 3 1 2 2 -> 3 0 1 2 , 3 4 5 7 -> 8 5 7 2 , 3 1 3 1 ->= 2 2 8 7 , 2 3 1 2 ->= 8 6 1 2 , 8 5 5 7 ->= 2 8 7 2 , 8 6 1 2 ->= 8 5 6 1 , 3 1 2 8 -> 3 0 1 8 , 3 4 5 5 -> 8 5 7 8 , 3 1 3 4 ->= 2 2 8 5 , 2 3 1 8 ->= 8 6 1 8 , 8 5 5 5 ->= 2 8 7 8 , 8 6 1 8 ->= 8 5 6 4 , 6 1 2 3 -> 6 0 1 3 , 6 4 5 6 -> 5 5 7 3 , 6 1 3 0 ->= 7 2 8 6 , 7 3 1 3 ->= 5 6 1 3 , 5 5 5 6 ->= 7 8 7 3 , 5 6 1 3 ->= 5 5 6 0 , 6 1 2 2 -> 6 0 1 2 , 6 4 5 7 -> 5 5 7 2 , 6 1 3 1 ->= 7 2 8 7 , 7 3 1 2 ->= 5 6 1 2 , 5 5 5 7 ->= 7 8 7 2 , 5 6 1 2 ->= 5 5 6 1 , 6 1 2 8 -> 6 0 1 8 , 6 4 5 5 -> 5 5 7 8 , 6 1 3 4 ->= 7 2 8 5 , 7 3 1 8 ->= 5 6 1 8 , 5 5 5 5 ->= 7 8 7 8 , 5 6 1 8 ->= 5 5 6 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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