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SRS_Relative 2019-03-29 08.12 pair #432296350
details
property
value
status
complete
benchmark
random-120.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n034.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
MultumNonMulta 3.12 20G
configuration
default
runtime (wallclock)
8.78101 seconds
cpu usage
33.4484
user time
29.6498
system time
3.79853
max virtual memory
2.4921192E7
max residence set size
7825656.0
stage attributes
key
value
starexec-result
YES
output
33.14/8.66 YES 33.38/8.73 33.38/8.73 33.38/8.73 33.38/8.73 33.38/8.73 The system was filtered by the following matrix interpretation 33.38/8.73 of type E_J with J = {1,...,2} and dimension 4: 33.38/8.73 33.38/8.73 c is interpreted by 33.38/8.73 / \ 33.38/8.73 | 1 0 1 0 | 33.38/8.73 | 0 1 0 0 | 33.38/8.73 | 0 0 0 1 | 33.38/8.73 | 0 1 0 0 | 33.38/8.73 \ / 33.38/8.73 a is interpreted by 33.38/8.73 / \ 33.38/8.73 | 1 0 0 0 | 33.38/8.73 | 0 1 0 0 | 33.38/8.73 | 0 0 0 0 | 33.38/8.73 | 0 0 0 0 | 33.38/8.73 \ / 33.38/8.73 b is interpreted by 33.38/8.73 / \ 33.38/8.73 | 1 0 0 0 | 33.38/8.73 | 0 1 0 0 | 33.38/8.73 | 0 0 0 0 | 33.38/8.73 | 0 0 0 0 | 33.38/8.73 \ / 33.38/8.73 33.38/8.73 Remains to prove termination of the 4-rule system 33.38/8.73 { c c a -> c c b , 33.38/8.73 b b c -> a a b , 33.38/8.73 b a b ->= a c b , 33.38/8.73 c a a ->= b a b } 33.38/8.73 33.38/8.73 33.38/8.73 Applying context closure of depth 1 in the following form: System R over Sigma 33.38/8.73 maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2, 33.38/8.73 where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n}) 33.38/8.73 33.38/8.73 Remains to prove termination of the 36-rule system 33.38/8.73 { [c, c] [c, c] [c, a] [a, c] -> [c, c] [c, c] [c, b] [b, c] , 33.38/8.73 [c, b] [b, b] [b, c] [c, c] -> [c, a] [a, a] [a, b] [b, c] , 33.38/8.73 [c, b] [b, a] [a, b] [b, c] ->= [c, a] [a, c] [c, b] [b, c] , 33.38/8.73 [c, c] [c, a] [a, a] [a, c] ->= [c, b] [b, a] [a, b] [b, c] , 33.38/8.73 [c, c] [c, c] [c, a] [a, a] -> [c, c] [c, c] [c, b] [b, a] , 33.38/8.73 [c, b] [b, b] [b, c] [c, a] -> [c, a] [a, a] [a, b] [b, a] , 33.38/8.73 [c, b] [b, a] [a, b] [b, a] ->= [c, a] [a, c] [c, b] [b, a] , 33.38/8.73 [c, c] [c, a] [a, a] [a, a] ->= [c, b] [b, a] [a, b] [b, a] , 33.38/8.73 [c, c] [c, c] [c, a] [a, b] -> [c, c] [c, c] [c, b] [b, b] , 33.38/8.73 [c, b] [b, b] [b, c] [c, b] -> [c, a] [a, a] [a, b] [b, b] , 33.38/8.73 [c, b] [b, a] [a, b] [b, b] ->= [c, a] [a, c] [c, b] [b, b] , 33.38/8.73 [c, c] [c, a] [a, a] [a, b] ->= [c, b] [b, a] [a, b] [b, b] , 33.38/8.73 [a, c] [c, c] [c, a] [a, c] -> [a, c] [c, c] [c, b] [b, c] , 33.38/8.73 [a, b] [b, b] [b, c] [c, c] -> [a, a] [a, a] [a, b] [b, c] , 33.38/8.73 [a, b] [b, a] [a, b] [b, c] ->= [a, a] [a, c] [c, b] [b, c] , 33.38/8.73 [a, c] [c, a] [a, a] [a, c] ->= [a, b] [b, a] [a, b] [b, c] , 33.38/8.73 [a, c] [c, c] [c, a] [a, a] -> [a, c] [c, c] [c, b] [b, a] , 33.38/8.73 [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, b] [b, a] , 33.38/8.73 [a, b] [b, a] [a, b] [b, a] ->= [a, a] [a, c] [c, b] [b, a] , 33.38/8.73 [a, c] [c, a] [a, a] [a, a] ->= [a, b] [b, a] [a, b] [b, a] , 33.38/8.73 [a, c] [c, c] [c, a] [a, b] -> [a, c] [c, c] [c, b] [b, b] , 33.38/8.73 [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, b] [b, b] , 33.38/8.73 [a, b] [b, a] [a, b] [b, b] ->= [a, a] [a, c] [c, b] [b, b] , 33.38/8.73 [a, c] [c, a] [a, a] [a, b] ->= [a, b] [b, a] [a, b] [b, b] , 33.38/8.73 [b, c] [c, c] [c, a] [a, c] -> [b, c] [c, c] [c, b] [b, c] , 33.38/8.73 [b, b] [b, b] [b, c] [c, c] -> [b, a] [a, a] [a, b] [b, c] , 33.38/8.73 [b, b] [b, a] [a, b] [b, c] ->= [b, a] [a, c] [c, b] [b, c] , 33.38/8.73 [b, c] [c, a] [a, a] [a, c] ->= [b, b] [b, a] [a, b] [b, c] , 33.38/8.73 [b, c] [c, c] [c, a] [a, a] -> [b, c] [c, c] [c, b] [b, a] , 33.38/8.73 [b, b] [b, b] [b, c] [c, a] -> [b, a] [a, a] [a, b] [b, a] , 33.38/8.73 [b, b] [b, a] [a, b] [b, a] ->= [b, a] [a, c] [c, b] [b, a] , 33.38/8.73 [b, c] [c, a] [a, a] [a, a] ->= [b, b] [b, a] [a, b] [b, a] , 33.38/8.73 [b, c] [c, c] [c, a] [a, b] -> [b, c] [c, c] [c, b] [b, b] , 33.38/8.73 [b, b] [b, b] [b, c] [c, b] -> [b, a] [a, a] [a, b] [b, b] , 33.38/8.73 [b, b] [b, a] [a, b] [b, b] ->= [b, a] [a, c] [c, b] [b, b] , 33.38/8.73 [b, c] [c, a] [a, a] [a, b] ->= [b, b] [b, a] [a, b] [b, b] } 33.38/8.73 33.38/8.73 33.38/8.73 33.38/8.73 The system was filtered by the following matrix interpretation 33.38/8.73 of type E_J with J = {1,...,2} and dimension 2: 33.38/8.73 33.38/8.73 [c, c] is interpreted by 33.38/8.73 / \ 33.38/8.73 | 1 1 | 33.38/8.73 | 0 1 | 33.38/8.73 \ / 33.38/8.73 [c, a] is interpreted by 33.38/8.73 / \ 33.38/8.73 | 1 0 | 33.38/8.73 | 0 1 | 33.38/8.73 \ / 33.38/8.73 [a, c] is interpreted by 33.38/8.73 / \ 33.38/8.73 | 1 0 | 33.38/8.73 | 0 1 | 33.38/8.73 \ / 33.38/8.73 [c, b] is interpreted by
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