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SRS_Standard 2019-03-29 03.29 pair #432290829
details
property
value
status
complete
benchmark
size-12-alpha-3-num-287.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
MultumNonMulta 3.12 20G
configuration
default
runtime (wallclock)
0.636115 seconds
cpu usage
1.65432
user time
1.50955
system time
0.144772
max virtual memory
2.505512E7
max residence set size
248884.0
stage attributes
key
value
starexec-result
YES
output
1.44/0.54 YES 1.44/0.58 1.44/0.58 1.44/0.58 Applying context closure of depth 1 in the following form: System R over Sigma 1.44/0.58 maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2, 1.44/0.58 where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n}) 1.44/0.58 1.44/0.58 Remains to prove termination of the 36-rule system 1.44/0.58 { [a, a] [a, a] -> [a, a] , 1.44/0.58 [a, a] [a, b] [b, a] -> [a, c] [c, b] [b, c] [c, b] [b, a] , 1.44/0.58 [a, b] [b, a] -> [a, a] [a, a] [a, a] , 1.44/0.58 [a, c] [c, c] [c, a] -> [a, a] , 1.44/0.58 [a, a] [a, b] -> [a, b] , 1.44/0.58 [a, a] [a, b] [b, b] -> [a, c] [c, b] [b, c] [c, b] [b, b] , 1.44/0.58 [a, b] [b, b] -> [a, a] [a, a] [a, b] , 1.44/0.58 [a, c] [c, c] [c, b] -> [a, b] , 1.44/0.58 [a, a] [a, c] -> [a, c] , 1.44/0.58 [a, a] [a, b] [b, c] -> [a, c] [c, b] [b, c] [c, b] [b, c] , 1.44/0.58 [a, b] [b, c] -> [a, a] [a, a] [a, c] , 1.44/0.58 [a, c] [c, c] [c, c] -> [a, c] , 1.44/0.58 [b, a] [a, a] -> [b, a] , 1.44/0.58 [b, a] [a, b] [b, a] -> [b, c] [c, b] [b, c] [c, b] [b, a] , 1.44/0.58 [b, b] [b, a] -> [b, a] [a, a] [a, a] , 1.44/0.58 [b, c] [c, c] [c, a] -> [b, a] , 1.44/0.58 [b, a] [a, b] -> [b, b] , 1.44/0.58 [b, a] [a, b] [b, b] -> [b, c] [c, b] [b, c] [c, b] [b, b] , 1.44/0.58 [b, b] [b, b] -> [b, a] [a, a] [a, b] , 1.44/0.58 [b, c] [c, c] [c, b] -> [b, b] , 1.44/0.58 [b, a] [a, c] -> [b, c] , 1.44/0.58 [b, a] [a, b] [b, c] -> [b, c] [c, b] [b, c] [c, b] [b, c] , 1.44/0.58 [b, b] [b, c] -> [b, a] [a, a] [a, c] , 1.44/0.58 [b, c] [c, c] [c, c] -> [b, c] , 1.44/0.58 [c, a] [a, a] -> [c, a] , 1.44/0.58 [c, a] [a, b] [b, a] -> [c, c] [c, b] [b, c] [c, b] [b, a] , 1.44/0.58 [c, b] [b, a] -> [c, a] [a, a] [a, a] , 1.44/0.58 [c, c] [c, c] [c, a] -> [c, a] , 1.44/0.58 [c, a] [a, b] -> [c, b] , 1.44/0.58 [c, a] [a, b] [b, b] -> [c, c] [c, b] [b, c] [c, b] [b, b] , 1.44/0.58 [c, b] [b, b] -> [c, a] [a, a] [a, b] , 1.44/0.58 [c, c] [c, c] [c, b] -> [c, b] , 1.44/0.58 [c, a] [a, c] -> [c, c] , 1.44/0.58 [c, a] [a, b] [b, c] -> [c, c] [c, b] [b, c] [c, b] [b, c] , 1.44/0.58 [c, b] [b, c] -> [c, a] [a, a] [a, c] , 1.44/0.58 [c, c] [c, c] [c, c] -> [c, c] } 1.44/0.58 1.44/0.58 1.44/0.58 1.44/0.58 The system was filtered by the following matrix interpretation 1.44/0.58 of type E_J with J = {1,...,2} and dimension 2: 1.44/0.58 1.44/0.58 [a, a] is interpreted by 1.44/0.58 / \ 1.44/0.58 | 1 0 | 1.44/0.58 | 0 1 | 1.44/0.58 \ / 1.44/0.58 [a, b] is interpreted by 1.44/0.58 / \ 1.44/0.58 | 1 2 | 1.44/0.58 | 0 1 | 1.44/0.58 \ / 1.44/0.58 [b, a] is interpreted by 1.44/0.58 / \ 1.44/0.58 | 1 0 | 1.44/0.58 | 0 1 | 1.44/0.58 \ / 1.44/0.58 [a, c] is interpreted by 1.44/0.58 / \ 1.44/0.58 | 1 0 | 1.44/0.58 | 0 1 | 1.44/0.58 \ / 1.44/0.58 [c, b] is interpreted by 1.44/0.58 / \ 1.44/0.58 | 1 1 | 1.44/0.58 | 0 1 | 1.44/0.58 \ / 1.44/0.58 [b, c] is interpreted by 1.44/0.58 / \ 1.44/0.58 | 1 0 | 1.44/0.58 | 0 1 | 1.44/0.58 \ / 1.44/0.58 [c, c] is interpreted by 1.44/0.58 / \ 1.44/0.58 | 1 1 | 1.44/0.58 | 0 1 | 1.44/0.58 \ / 1.44/0.58 [c, a] is interpreted by 1.44/0.58 / \ 1.44/0.58 | 1 1 | 1.44/0.58 | 0 1 | 1.44/0.58 \ / 1.44/0.58 [b, b] is interpreted by 1.44/0.58 / \ 1.44/0.58 | 1 2 | 1.44/0.58 | 0 1 | 1.44/0.58 \ / 1.44/0.58 1.44/0.58 Remains to prove termination of the 22-rule system 1.44/0.58 { [a, a] [a, a] -> [a, a] , 1.44/0.58 [a, a] [a, b] [b, a] -> [a, c] [c, b] [b, c] [c, b] [b, a] , 1.44/0.58 [a, a] [a, b] -> [a, b] ,
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