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SRS Relative pair #487521137
details
property
value
status
complete
benchmark
random-78.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
MultumNonMulta 3.16 29 June 2020 60G
configuration
default
runtime (wallclock)
2.5565469265 seconds
cpu usage
8.406544992
max memory
2.22425088E9
stage attributes
key
value
output-size
21439
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 { a->0, c->1, b->2 }, it remains to prove termination of the 7-rule system { 0 1 2 -> 2 0 2 , 0 2 1 -> 2 2 1 , 0 2 1 ->= 1 1 2 , 2 0 1 ->= 1 0 1 , 0 0 1 ->= 0 0 2 , 2 1 0 ->= 0 1 2 , 0 0 0 ->= 1 0 2 } The system was reversed. After renaming modulo { 2->0, 1->1, 0->2 }, it remains to prove termination of the 7-rule system { 0 1 2 -> 0 2 0 , 1 0 2 -> 1 0 0 , 1 0 2 ->= 0 1 1 , 1 2 0 ->= 1 2 1 , 1 2 2 ->= 0 2 2 , 2 1 0 ->= 0 1 2 , 2 2 2 ->= 0 2 1 } 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 0 | | 0 1 | \ / 1 is interpreted by / \ | 1 0 | | 0 1 | \ / 2 is interpreted by / \ | 1 1 | | 0 1 | \ / After renaming modulo { 0->0, 1->1, 2->2 }, it remains to prove termination of the 4-rule system { 0 1 2 -> 0 2 0 , 1 2 0 ->= 1 2 1 , 1 2 2 ->= 0 2 2 , 2 1 0 ->= 0 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, 2]->2, [2, 0]->3, [0, 2]->4, [2, 1]->5, [1, 0]->6, [2, 2]->7, [1, 1]->8 }, it remains to prove termination of the 36-rule system { 0 1 2 3 -> 0 4 3 0 , 1 2 3 0 ->= 1 2 5 6 , 1 2 7 3 ->= 0 4 7 3 , 4 5 6 0 ->= 0 1 2 3 , 0 1 2 5 -> 0 4 3 1 , 1 2 3 1 ->= 1 2 5 8 , 1 2 7 5 ->= 0 4 7 5 , 4 5 6 1 ->= 0 1 2 5 , 0 1 2 7 -> 0 4 3 4 , 1 2 3 4 ->= 1 2 5 2 , 1 2 7 7 ->= 0 4 7 7 , 4 5 6 4 ->= 0 1 2 7 , 6 1 2 3 -> 6 4 3 0 , 8 2 3 0 ->= 8 2 5 6 , 8 2 7 3 ->= 6 4 7 3 , 2 5 6 0 ->= 6 1 2 3 , 6 1 2 5 -> 6 4 3 1 , 8 2 3 1 ->= 8 2 5 8 , 8 2 7 5 ->= 6 4 7 5 , 2 5 6 1 ->= 6 1 2 5 , 6 1 2 7 -> 6 4 3 4 , 8 2 3 4 ->= 8 2 5 2 , 8 2 7 7 ->= 6 4 7 7 , 2 5 6 4 ->= 6 1 2 7 , 3 1 2 3 -> 3 4 3 0 , 5 2 3 0 ->= 5 2 5 6 , 5 2 7 3 ->= 3 4 7 3 , 7 5 6 0 ->= 3 1 2 3 , 3 1 2 5 -> 3 4 3 1 , 5 2 3 1 ->= 5 2 5 8 , 5 2 7 5 ->= 3 4 7 5 , 7 5 6 1 ->= 3 1 2 5 , 3 1 2 7 -> 3 4 3 4 , 5 2 3 4 ->= 5 2 5 2 , 5 2 7 7 ->= 3 4 7 7 ,
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