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SRS_Standard 2019-03-29 03.29 pair #432291219
details
property
value
status
complete
benchmark
size-12-alpha-3-num-51.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n122.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
MultumNonMulta 3.12 20G
configuration
default
runtime (wallclock)
6.84856 seconds
cpu usage
25.8179
user time
23.7797
system time
2.03816
max virtual memory
2.5057776E7
max residence set size
6059148.0
stage attributes
key
value
starexec-result
YES
output
25.46/6.75 YES 25.58/6.79 25.58/6.79 25.58/6.79 Applying context closure of depth 1 in the following form: System R over Sigma 25.58/6.79 maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2, 25.58/6.79 where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n}) 25.58/6.79 25.58/6.79 Remains to prove termination of the 36-rule system 25.58/6.79 { [a, a] [a, a] -> [a, a] , 25.58/6.79 [a, a] [a, a] [a, a] -> [a, a] [a, b] [b, a] , 25.58/6.79 [a, b] [b, a] -> [a, a] , 25.58/6.79 [a, c] [c, b] [b, a] -> [a, a] [a, b] [b, c] [c, c] [c, a] , 25.58/6.79 [a, a] [a, b] -> [a, b] , 25.58/6.79 [a, a] [a, a] [a, b] -> [a, a] [a, b] [b, b] , 25.58/6.79 [a, b] [b, b] -> [a, b] , 25.58/6.79 [a, c] [c, b] [b, b] -> [a, a] [a, b] [b, c] [c, c] [c, b] , 25.58/6.79 [a, a] [a, c] -> [a, c] , 25.58/6.79 [a, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] , 25.58/6.79 [a, b] [b, c] -> [a, c] , 25.58/6.79 [a, c] [c, b] [b, c] -> [a, a] [a, b] [b, c] [c, c] [c, c] , 25.58/6.79 [b, a] [a, a] -> [b, a] , 25.58/6.79 [b, a] [a, a] [a, a] -> [b, a] [a, b] [b, a] , 25.58/6.79 [b, b] [b, a] -> [b, a] , 25.58/6.79 [b, c] [c, b] [b, a] -> [b, a] [a, b] [b, c] [c, c] [c, a] , 25.58/6.79 [b, a] [a, b] -> [b, b] , 25.58/6.79 [b, a] [a, a] [a, b] -> [b, a] [a, b] [b, b] , 25.58/6.79 [b, b] [b, b] -> [b, b] , 25.58/6.79 [b, c] [c, b] [b, b] -> [b, a] [a, b] [b, c] [c, c] [c, b] , 25.58/6.79 [b, a] [a, c] -> [b, c] , 25.58/6.79 [b, a] [a, a] [a, c] -> [b, a] [a, b] [b, c] , 25.58/6.79 [b, b] [b, c] -> [b, c] , 25.58/6.79 [b, c] [c, b] [b, c] -> [b, a] [a, b] [b, c] [c, c] [c, c] , 25.58/6.79 [c, a] [a, a] -> [c, a] , 25.58/6.79 [c, a] [a, a] [a, a] -> [c, a] [a, b] [b, a] , 25.58/6.79 [c, b] [b, a] -> [c, a] , 25.58/6.79 [c, c] [c, b] [b, a] -> [c, a] [a, b] [b, c] [c, c] [c, a] , 25.58/6.79 [c, a] [a, b] -> [c, b] , 25.58/6.79 [c, a] [a, a] [a, b] -> [c, a] [a, b] [b, b] , 25.58/6.79 [c, b] [b, b] -> [c, b] , 25.58/6.79 [c, c] [c, b] [b, b] -> [c, a] [a, b] [b, c] [c, c] [c, b] , 25.58/6.79 [c, a] [a, c] -> [c, c] , 25.58/6.79 [c, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] , 25.58/6.79 [c, b] [b, c] -> [c, c] , 25.58/6.79 [c, c] [c, b] [b, c] -> [c, a] [a, b] [b, c] [c, c] [c, c] } 25.58/6.79 25.58/6.79 25.58/6.79 25.58/6.79 The system was filtered by the following matrix interpretation 25.58/6.79 of type E_J with J = {1,...,2} and dimension 2: 25.58/6.79 25.58/6.79 [a, a] is interpreted by 25.58/6.79 / \ 25.58/6.79 | 1 1 | 25.58/6.79 | 0 1 | 25.58/6.79 \ / 25.58/6.79 [a, b] is interpreted by 25.58/6.79 / \ 25.58/6.79 | 1 0 | 25.58/6.79 | 0 1 | 25.58/6.79 \ / 25.58/6.79 [b, a] is interpreted by 25.58/6.79 / \ 25.58/6.79 | 1 1 | 25.58/6.79 | 0 1 | 25.58/6.79 \ / 25.58/6.79 [a, c] is interpreted by 25.58/6.79 / \ 25.58/6.79 | 1 1 | 25.58/6.79 | 0 1 | 25.58/6.79 \ / 25.58/6.79 [c, b] is interpreted by 25.58/6.79 / \ 25.58/6.79 | 1 0 | 25.58/6.79 | 0 1 | 25.58/6.79 \ / 25.58/6.79 [b, c] is interpreted by 25.58/6.79 / \ 25.58/6.79 | 1 1 | 25.58/6.79 | 0 1 | 25.58/6.79 \ / 25.58/6.79 [c, c] is interpreted by 25.58/6.79 / \ 25.58/6.79 | 1 0 | 25.58/6.79 | 0 1 | 25.58/6.79 \ / 25.58/6.79 [c, a] is interpreted by 25.58/6.79 / \ 25.58/6.79 | 1 0 | 25.58/6.79 | 0 1 | 25.58/6.79 \ / 25.58/6.79 [b, b] is interpreted by 25.58/6.79 / \ 25.58/6.79 | 1 1 | 25.58/6.79 | 0 1 | 25.58/6.79 \ / 25.58/6.79 25.58/6.79 Remains to prove termination of the 16-rule system 25.58/6.79 { [a, b] [b, a] -> [a, a] , 25.58/6.79 [a, c] [c, b] [b, a] -> [a, a] [a, b] [b, c] [c, c] [c, a] , 25.58/6.79 [a, a] [a, a] [a, b] -> [a, a] [a, b] [b, b] ,
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