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SRS_Standard 2019-03-29 03.29 pair #432292755
details
property
value
status
complete
benchmark
abbaaaaa-aaaaaabbabb.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n075.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
MultumNonMulta 3.12 20G
configuration
default
runtime (wallclock)
0.974079 seconds
cpu usage
2.88381
user time
2.66543
system time
0.218385
max virtual memory
2.5187036E7
max residence set size
702008.0
stage attributes
key
value
starexec-result
YES
output
2.58/0.86 YES 2.58/0.90 2.58/0.90 2.58/0.90 Applying context closure of depth 1 in the following form: System R over Sigma 2.58/0.90 maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2, 2.58/0.90 where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n}) 2.58/0.90 2.58/0.90 Remains to prove termination of the 4-rule system 2.58/0.90 { [a, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, a] , 2.58/0.90 [a, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, b] -> [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, b] , 2.58/0.90 [b, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, a] , 2.58/0.90 [b, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, b] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, b] } 2.58/0.90 2.58/0.90 2.58/0.90 2.58/0.90 The system was filtered by the following matrix interpretation 2.58/0.90 of type E_J with J = {1,...,2} and dimension 10: 2.58/0.90 2.58/0.90 [a, a] is interpreted by 2.58/0.90 / \ 2.58/0.90 | 1 0 1 0 0 0 0 0 0 0 | 2.58/0.90 | 0 1 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 1 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 1 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 1 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 1 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 \ / 2.58/0.90 [a, b] is interpreted by 2.58/0.90 / \ 2.58/0.90 | 1 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 1 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 1 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 1 0 0 0 0 0 0 0 0 | 2.58/0.90 \ / 2.58/0.90 [b, b] is interpreted by 2.58/0.90 / \ 2.58/0.90 | 1 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 1 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 1 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 \ / 2.58/0.90 [b, a] is interpreted by 2.58/0.90 / \ 2.58/0.90 | 1 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 1 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 1 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 | 0 0 0 0 0 0 0 0 0 0 | 2.58/0.90 \ / 2.58/0.90 2.58/0.90 Remains to prove termination of the 3-rule system 2.58/0.90 { [a, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, a] , 2.58/0.90 [b, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, a] , 2.58/0.90 [b, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, b] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, b] } 2.58/0.90 2.58/0.90 2.58/0.90 The system was reversed. 2.58/0.90 2.58/0.90 Remains to prove termination of the 3-rule system 2.58/0.90 { [a, a] [a, a] [a, a] [a, a] [a, a] [b, a] [b, b] [a, b] [a, a] -> [b, a] [b, b] [a, b] [b, a] [b, b] [a, b] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] , 2.58/0.90 [a, a] [a, a] [a, a] [a, a] [a, a] [b, a] [b, b] [a, b] [b, a] -> [b, a] [b, b] [a, b] [b, a] [b, b] [a, b] [a, a] [a, a] [a, a] [a, a] [a, a] [b, a] , 2.58/0.90 [a, b] [a, a] [a, a] [a, a] [a, a] [b, a] [b, b] [a, b] [b, a] -> [b, b] [b, b] [a, b] [b, a] [b, b] [a, b] [a, a] [a, a] [a, a] [a, a] [a, a] [b, a] } 2.58/0.90 2.58/0.90 2.58/0.90 The dependency pairs transformation was applied. 2.58/0.90 2.58/0.90 Remains to prove termination of the 25-rule system 2.58/0.90 { ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 2.58/0.90 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 2.58/0.90 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 2.58/0.90 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 2.58/0.90 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) , 2.58/0.90 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) , 2.58/0.90 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) , 2.58/0.90 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) , 2.58/0.90 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 2.58/0.90 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 2.58/0.90 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 2.58/0.90 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ,
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