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SRS_Standard 2019-03-29 03.29 pair #432291189
details
property
value
status
complete
benchmark
size-12-alpha-2-num-15.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n048.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
MultumNonMulta 3.12 20G
configuration
default
runtime (wallclock)
0.523537 seconds
cpu usage
1.30139
user time
1.18623
system time
0.115157
max virtual memory
113176.0
max residence set size
214800.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.47 YES 0.00/0.49 0.00/0.49 0.00/0.49 Applying context closure of depth 1 in the following form: System R over Sigma 0.00/0.49 maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2, 0.00/0.49 where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n}) 0.00/0.49 0.00/0.49 Remains to prove termination of the 12-rule system 0.00/0.49 { [a, a] [a, a] -> [a, a] , 0.00/0.49 [a, a] [a, a] [a, a] -> [a, a] [a, b] [b, a] [a, b] [b, a] , 0.00/0.49 [a, b] [b, b] [b, b] [b, b] [b, a] -> [a, a] [a, a] , 0.00/0.49 [a, a] [a, b] -> [a, b] , 0.00/0.49 [a, a] [a, a] [a, b] -> [a, a] [a, b] [b, a] [a, b] [b, b] , 0.00/0.49 [a, b] [b, b] [b, b] [b, b] [b, b] -> [a, a] [a, b] , 0.00/0.49 [b, a] [a, a] -> [b, a] , 0.00/0.49 [b, a] [a, a] [a, a] -> [b, a] [a, b] [b, a] [a, b] [b, a] , 0.00/0.49 [b, b] [b, b] [b, b] [b, b] [b, a] -> [b, a] [a, a] , 0.00/0.49 [b, a] [a, b] -> [b, b] , 0.00/0.49 [b, a] [a, a] [a, b] -> [b, a] [a, b] [b, a] [a, b] [b, b] , 0.00/0.49 [b, b] [b, b] [b, b] [b, b] [b, b] -> [b, a] [a, b] } 0.00/0.49 0.00/0.49 0.00/0.49 0.00/0.49 The system was filtered by the following matrix interpretation 0.00/0.49 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.49 0.00/0.49 [a, a] is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 2 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 [a, b] is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 1 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 [b, a] is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 [b, b] is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 1 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 0.00/0.49 Remains to prove termination of the 4-rule system 0.00/0.49 { [a, b] [b, b] [b, b] [b, b] [b, a] -> [a, a] [a, a] , 0.00/0.49 [a, a] [a, a] [a, b] -> [a, a] [a, b] [b, a] [a, b] [b, b] , 0.00/0.49 [b, a] [a, b] -> [b, b] , 0.00/0.49 [b, a] [a, a] [a, b] -> [b, a] [a, b] [b, a] [a, b] [b, b] } 0.00/0.49 0.00/0.49 0.00/0.49 The system was reversed. 0.00/0.49 0.00/0.49 Remains to prove termination of the 4-rule system 0.00/0.49 { [b, a] [b, b] [b, b] [b, b] [a, b] -> [a, a] [a, a] , 0.00/0.49 [a, b] [a, a] [a, a] -> [b, b] [a, b] [b, a] [a, b] [a, a] , 0.00/0.49 [a, b] [b, a] -> [b, b] , 0.00/0.49 [a, b] [a, a] [b, a] -> [b, b] [a, b] [b, a] [a, b] [b, a] } 0.00/0.49 0.00/0.49 0.00/0.49 The dependency pairs transformation was applied. 0.00/0.49 0.00/0.49 Remains to prove termination of the 11-rule system 0.00/0.49 { ([a, b],true) ([a, a],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([a, a],false) , 0.00/0.49 ([a, b],true) ([a, a],false) ([a, a],false) -> ([b, a],true) ([a, b],false) ([a, a],false) , 0.00/0.49 ([a, b],true) ([a, a],false) ([a, a],false) -> ([a, b],true) ([a, a],false) , 0.00/0.49 ([a, b],true) ([a, a],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) , 0.00/0.49 ([a, b],true) ([a, a],false) ([b, a],false) -> ([b, a],true) ([a, b],false) ([b, a],false) , 0.00/0.49 ([a, b],true) ([a, a],false) ([b, a],false) -> ([a, b],true) ([b, a],false) , 0.00/0.49 ([a, b],true) ([a, a],false) ([b, a],false) -> ([b, a],true) , 0.00/0.49 ([b, a],false) ([b, b],false) ([b, b],false) ([b, b],false) ([a, b],false) ->= ([a, a],false) ([a, a],false) , 0.00/0.49 ([a, b],false) ([a, a],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) , 0.00/0.49 ([a, b],false) ([b, a],false) ->= ([b, b],false) , 0.00/0.49 ([a, b],false) ([a, a],false) ([b, a],false) ->= ([b, b],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) } 0.00/0.49 0.00/0.49 0.00/0.49 0.00/0.49 0.00/0.49 The system was filtered by the following matrix interpretation 0.00/0.49 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.49 0.00/0.49 ([a, b],true) is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 1 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 ([a, a],false) is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 ([b, a],false) is interpreted by 0.00/0.49 / \ 0.00/0.49 | 1 0 | 0.00/0.49 | 0 1 | 0.00/0.49 \ / 0.00/0.49 ([a, b],false) is interpreted by
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