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SRS_Standard 2019-03-29 03.29 pair #432290655
details
property
value
status
complete
benchmark
size-12-alpha-3-num-203.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)
0.769762 seconds
cpu usage
2.28719
user time
2.1316
system time
0.155588
max virtual memory
4.9996084E7
max residence set size
313168.0
stage attributes
key
value
starexec-result
YES
output
1.78/0.69 YES 2.16/0.73 2.16/0.73 2.16/0.73 Applying context closure of depth 1 in the following form: System R over Sigma 2.16/0.73 maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2, 2.16/0.73 where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n}) 2.16/0.73 2.16/0.73 Remains to prove termination of the 36-rule system 2.16/0.73 { [a, a] [a, a] -> [a, a] , 2.16/0.73 [a, a] [a, b] [b, a] -> [a, b] [b, b] [b, a] [a, c] [c, a] , 2.16/0.73 [a, b] [b, b] [b, a] -> [a, a] , 2.16/0.73 [a, c] [c, c] [c, a] -> [a, a] [a, a] , 2.16/0.73 [a, a] [a, b] -> [a, b] , 2.16/0.73 [a, a] [a, b] [b, b] -> [a, b] [b, b] [b, a] [a, c] [c, b] , 2.16/0.73 [a, b] [b, b] [b, b] -> [a, b] , 2.16/0.73 [a, c] [c, c] [c, b] -> [a, a] [a, b] , 2.16/0.73 [a, a] [a, c] -> [a, c] , 2.16/0.73 [a, a] [a, b] [b, c] -> [a, b] [b, b] [b, a] [a, c] [c, c] , 2.16/0.73 [a, b] [b, b] [b, c] -> [a, c] , 2.16/0.73 [a, c] [c, c] [c, c] -> [a, a] [a, c] , 2.16/0.73 [b, a] [a, a] -> [b, a] , 2.16/0.73 [b, a] [a, b] [b, a] -> [b, b] [b, b] [b, a] [a, c] [c, a] , 2.16/0.73 [b, b] [b, b] [b, a] -> [b, a] , 2.16/0.73 [b, c] [c, c] [c, a] -> [b, a] [a, a] , 2.16/0.73 [b, a] [a, b] -> [b, b] , 2.16/0.73 [b, a] [a, b] [b, b] -> [b, b] [b, b] [b, a] [a, c] [c, b] , 2.16/0.73 [b, b] [b, b] [b, b] -> [b, b] , 2.16/0.73 [b, c] [c, c] [c, b] -> [b, a] [a, b] , 2.16/0.73 [b, a] [a, c] -> [b, c] , 2.16/0.73 [b, a] [a, b] [b, c] -> [b, b] [b, b] [b, a] [a, c] [c, c] , 2.16/0.73 [b, b] [b, b] [b, c] -> [b, c] , 2.16/0.73 [b, c] [c, c] [c, c] -> [b, a] [a, c] , 2.16/0.73 [c, a] [a, a] -> [c, a] , 2.16/0.73 [c, a] [a, b] [b, a] -> [c, b] [b, b] [b, a] [a, c] [c, a] , 2.16/0.73 [c, b] [b, b] [b, a] -> [c, a] , 2.16/0.73 [c, c] [c, c] [c, a] -> [c, a] [a, a] , 2.16/0.73 [c, a] [a, b] -> [c, b] , 2.16/0.73 [c, a] [a, b] [b, b] -> [c, b] [b, b] [b, a] [a, c] [c, b] , 2.16/0.73 [c, b] [b, b] [b, b] -> [c, b] , 2.16/0.73 [c, c] [c, c] [c, b] -> [c, a] [a, b] , 2.16/0.73 [c, a] [a, c] -> [c, c] , 2.16/0.73 [c, a] [a, b] [b, c] -> [c, b] [b, b] [b, a] [a, c] [c, c] , 2.16/0.73 [c, b] [b, b] [b, c] -> [c, c] , 2.16/0.73 [c, c] [c, c] [c, c] -> [c, a] [a, c] } 2.16/0.73 2.16/0.73 2.16/0.73 2.16/0.73 The system was filtered by the following matrix interpretation 2.16/0.73 of type E_J with J = {1,...,2} and dimension 2: 2.16/0.73 2.16/0.73 [a, a] is interpreted by 2.16/0.73 / \ 2.16/0.73 | 1 1 | 2.16/0.73 | 0 1 | 2.16/0.73 \ / 2.16/0.73 [a, b] is interpreted by 2.16/0.73 / \ 2.16/0.73 | 1 1 | 2.16/0.73 | 0 1 | 2.16/0.73 \ / 2.16/0.73 [b, a] is interpreted by 2.16/0.73 / \ 2.16/0.73 | 1 0 | 2.16/0.73 | 0 1 | 2.16/0.73 \ / 2.16/0.73 [b, b] is interpreted by 2.16/0.73 / \ 2.16/0.73 | 1 0 | 2.16/0.73 | 0 1 | 2.16/0.73 \ / 2.16/0.73 [a, c] is interpreted by 2.16/0.73 / \ 2.16/0.73 | 1 0 | 2.16/0.73 | 0 1 | 2.16/0.73 \ / 2.16/0.73 [c, a] is interpreted by 2.16/0.73 / \ 2.16/0.73 | 1 1 | 2.16/0.73 | 0 1 | 2.16/0.73 \ / 2.16/0.73 [c, c] is interpreted by 2.16/0.73 / \ 2.16/0.73 | 1 1 | 2.16/0.73 | 0 1 | 2.16/0.73 \ / 2.16/0.73 [c, b] is interpreted by 2.16/0.73 / \ 2.16/0.73 | 1 1 | 2.16/0.73 | 0 1 | 2.16/0.73 \ / 2.16/0.73 [b, c] is interpreted by 2.16/0.73 / \ 2.16/0.73 | 1 0 | 2.16/0.73 | 0 1 | 2.16/0.73 \ / 2.16/0.73 2.16/0.73 Remains to prove termination of the 21-rule system 2.16/0.73 { [a, a] [a, b] [b, a] -> [a, b] [b, b] [b, a] [a, c] [c, a] , 2.16/0.73 [a, b] [b, b] [b, a] -> [a, a] , 2.16/0.73 [a, c] [c, c] [c, a] -> [a, a] [a, a] ,
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