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SRS_Standard 2019-03-29 03.29 pair #432289941
details
property
value
status
complete
benchmark
size-12-alpha-3-num-10.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n105.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
MultumNonMulta 3.12 20G
configuration
default
runtime (wallclock)
2.1623 seconds
cpu usage
7.62819
user time
7.28427
system time
0.34392
max virtual memory
5.0391648E7
max residence set size
1024008.0
stage attributes
key
value
starexec-result
YES
output
7.40/2.09 YES 7.40/2.12 7.40/2.12 7.40/2.12 Applying context closure of depth 1 in the following form: System R over Sigma 7.40/2.12 maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2, 7.40/2.12 where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n}) 7.40/2.12 7.40/2.12 Remains to prove termination of the 36-rule system 7.40/2.12 { [a, a] [a, a] -> [a, a] , 7.40/2.12 [a, a] [a, a] -> [a, b] [b, a] , 7.40/2.12 [a, a] [a, b] [b, c] [c, a] -> [a, c] [c, c] [c, a] [a, b] [b, a] [a, a] , 7.40/2.12 [a, c] [c, a] -> [a, a] , 7.40/2.12 [a, a] [a, b] -> [a, b] , 7.40/2.12 [a, a] [a, b] -> [a, b] [b, b] , 7.40/2.12 [a, a] [a, b] [b, c] [c, b] -> [a, c] [c, c] [c, a] [a, b] [b, a] [a, b] , 7.40/2.12 [a, c] [c, b] -> [a, b] , 7.40/2.12 [a, a] [a, c] -> [a, c] , 7.40/2.12 [a, a] [a, c] -> [a, b] [b, c] , 7.40/2.12 [a, a] [a, b] [b, c] [c, c] -> [a, c] [c, c] [c, a] [a, b] [b, a] [a, c] , 7.40/2.12 [a, c] [c, c] -> [a, c] , 7.40/2.12 [b, a] [a, a] -> [b, a] , 7.40/2.12 [b, a] [a, a] -> [b, b] [b, a] , 7.40/2.12 [b, a] [a, b] [b, c] [c, a] -> [b, c] [c, c] [c, a] [a, b] [b, a] [a, a] , 7.40/2.12 [b, c] [c, a] -> [b, a] , 7.40/2.12 [b, a] [a, b] -> [b, b] , 7.40/2.12 [b, a] [a, b] -> [b, b] [b, b] , 7.40/2.12 [b, a] [a, b] [b, c] [c, b] -> [b, c] [c, c] [c, a] [a, b] [b, a] [a, b] , 7.40/2.12 [b, c] [c, b] -> [b, b] , 7.40/2.12 [b, a] [a, c] -> [b, c] , 7.40/2.12 [b, a] [a, c] -> [b, b] [b, c] , 7.40/2.12 [b, a] [a, b] [b, c] [c, c] -> [b, c] [c, c] [c, a] [a, b] [b, a] [a, c] , 7.40/2.12 [b, c] [c, c] -> [b, c] , 7.40/2.12 [c, a] [a, a] -> [c, a] , 7.40/2.12 [c, a] [a, a] -> [c, b] [b, a] , 7.40/2.12 [c, a] [a, b] [b, c] [c, a] -> [c, c] [c, c] [c, a] [a, b] [b, a] [a, a] , 7.40/2.12 [c, c] [c, a] -> [c, a] , 7.40/2.12 [c, a] [a, b] -> [c, b] , 7.40/2.12 [c, a] [a, b] -> [c, b] [b, b] , 7.40/2.12 [c, a] [a, b] [b, c] [c, b] -> [c, c] [c, c] [c, a] [a, b] [b, a] [a, b] , 7.40/2.12 [c, c] [c, b] -> [c, b] , 7.40/2.12 [c, a] [a, c] -> [c, c] , 7.40/2.12 [c, a] [a, c] -> [c, b] [b, c] , 7.40/2.12 [c, a] [a, b] [b, c] [c, c] -> [c, c] [c, c] [c, a] [a, b] [b, a] [a, c] , 7.40/2.12 [c, c] [c, c] -> [c, c] } 7.40/2.12 7.40/2.12 The system was reversed. 7.40/2.12 7.40/2.12 Remains to prove termination of the 36-rule system 7.40/2.12 { [a, a] [a, a] -> [a, a] , 7.40/2.12 [a, a] [a, a] -> [b, a] [a, b] , 7.40/2.12 [c, a] [b, c] [a, b] [a, a] -> [a, a] [b, a] [a, b] [c, a] [c, c] [a, c] , 7.40/2.12 [c, a] [a, c] -> [a, a] , 7.40/2.12 [a, b] [a, a] -> [a, b] , 7.40/2.12 [a, b] [a, a] -> [b, b] [a, b] , 7.40/2.12 [c, b] [b, c] [a, b] [a, a] -> [a, b] [b, a] [a, b] [c, a] [c, c] [a, c] , 7.40/2.12 [c, b] [a, c] -> [a, b] , 7.40/2.12 [a, c] [a, a] -> [a, c] , 7.40/2.12 [a, c] [a, a] -> [b, c] [a, b] , 7.40/2.12 [c, c] [b, c] [a, b] [a, a] -> [a, c] [b, a] [a, b] [c, a] [c, c] [a, c] , 7.40/2.12 [c, c] [a, c] -> [a, c] , 7.40/2.12 [a, a] [b, a] -> [b, a] , 7.40/2.12 [a, a] [b, a] -> [b, a] [b, b] , 7.40/2.12 [c, a] [b, c] [a, b] [b, a] -> [a, a] [b, a] [a, b] [c, a] [c, c] [b, c] , 7.40/2.12 [c, a] [b, c] -> [b, a] , 7.40/2.12 [a, b] [b, a] -> [b, b] , 7.40/2.12 [a, b] [b, a] -> [b, b] [b, b] , 7.40/2.12 [c, b] [b, c] [a, b] [b, a] -> [a, b] [b, a] [a, b] [c, a] [c, c] [b, c] , 7.40/2.12 [c, b] [b, c] -> [b, b] , 7.40/2.12 [a, c] [b, a] -> [b, c] , 7.40/2.12 [a, c] [b, a] -> [b, c] [b, b] , 7.40/2.12 [c, c] [b, c] [a, b] [b, a] -> [a, c] [b, a] [a, b] [c, a] [c, c] [b, c] , 7.40/2.12 [c, c] [b, c] -> [b, c] , 7.40/2.12 [a, a] [c, a] -> [c, a] , 7.40/2.12 [a, a] [c, a] -> [b, a] [c, b] , 7.40/2.12 [c, a] [b, c] [a, b] [c, a] -> [a, a] [b, a] [a, b] [c, a] [c, c] [c, c] , 7.40/2.12 [c, a] [c, c] -> [c, a] , 7.40/2.12 [a, b] [c, a] -> [c, b] , 7.40/2.12 [a, b] [c, a] -> [b, b] [c, b] , 7.40/2.12 [c, b] [b, c] [a, b] [c, a] -> [a, b] [b, a] [a, b] [c, a] [c, c] [c, c] , 7.40/2.12 [c, b] [c, c] -> [c, b] , 7.40/2.12 [a, c] [c, a] -> [c, c] , 7.40/2.12 [a, c] [c, a] -> [b, c] [c, b] , 7.40/2.12 [c, c] [b, c] [a, b] [c, a] -> [a, c] [b, a] [a, b] [c, a] [c, c] [c, c] , 7.40/2.12 [c, c] [c, c] -> [c, c] } 7.40/2.12 7.40/2.12 7.40/2.12 The dependency pairs transformation was applied. 7.40/2.12 7.40/2.12 Remains to prove termination of the 94-rule system 7.40/2.12 { ([a, a],true) ([a, a],false) -> ([a, a],true) , 7.40/2.12 ([a, a],true) ([a, a],false) -> ([a, b],true) , 7.40/2.12 ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) , 7.40/2.12 ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) , 7.40/2.12 ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([c, a],true) ([c, c],false) ([a, c],false) , 7.40/2.12 ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([c, c],true) ([a, c],false) , 7.40/2.12 ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, c],true) , 7.40/2.12 ([c, a],true) ([a, c],false) -> ([a, a],true) , 7.40/2.12 ([a, b],true) ([a, a],false) -> ([a, b],true) , 7.40/2.12 ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) , 7.40/2.12 ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) ,
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