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SRS_Relative 2019-03-29 08.12 pair #432296830
details
property
value
status
complete
benchmark
rel09.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n135.star.cs.uiowa.edu
space
Zantema_06_relative
run statistics
property
value
solver
MultumNonMulta 3.12 20G
configuration
default
runtime (wallclock)
28.3227 seconds
cpu usage
110.533
user time
100.431
system time
10.1019
max virtual memory
2.4725164E7
max residence set size
1.60593E7
stage attributes
key
value
starexec-result
YES
output
109.97/28.07 YES 110.33/28.20 110.33/28.20 110.33/28.20 110.33/28.20 110.33/28.20 The system was filtered by the following matrix interpretation 110.33/28.20 of type E_J with J = {1,...,2} and dimension 4: 110.33/28.20 110.33/28.20 b is interpreted by 110.33/28.20 / \ 110.33/28.20 | 1 0 0 0 | 110.33/28.20 | 0 1 0 0 | 110.33/28.20 | 0 0 0 0 | 110.33/28.20 | 0 0 0 0 | 110.33/28.20 \ / 110.33/28.20 q is interpreted by 110.33/28.20 / \ 110.33/28.20 | 1 0 0 0 | 110.33/28.20 | 0 1 0 0 | 110.33/28.20 | 0 0 0 0 | 110.33/28.20 | 0 0 0 0 | 110.33/28.20 \ / 110.33/28.20 p is interpreted by 110.33/28.20 / \ 110.33/28.20 | 1 0 0 0 | 110.33/28.20 | 0 1 0 0 | 110.33/28.20 | 0 0 0 1 | 110.33/28.20 | 0 0 0 0 | 110.33/28.20 \ / 110.33/28.20 0 is interpreted by 110.33/28.20 / \ 110.33/28.20 | 1 0 1 0 | 110.33/28.20 | 0 1 0 0 | 110.33/28.20 | 0 0 0 0 | 110.33/28.20 | 0 1 0 0 | 110.33/28.20 \ / 110.33/28.20 1 is interpreted by 110.33/28.20 / \ 110.33/28.20 | 1 0 0 0 | 110.33/28.20 | 0 1 0 0 | 110.33/28.20 | 0 0 0 0 | 110.33/28.20 | 0 0 0 0 | 110.33/28.20 \ / 110.33/28.20 110.33/28.20 Remains to prove termination of the 5-rule system 110.33/28.20 { b q b -> b p b , 110.33/28.20 1 p 1 ->= q , 110.33/28.20 0 q 0 ->= q , 110.33/28.20 1 q 1 ->= q , 110.33/28.20 p ->= 1 p 1 0 1 } 110.33/28.20 110.33/28.20 110.33/28.20 Applying context closure of depth 1 in the following form: System R over Sigma 110.33/28.20 maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2, 110.33/28.20 where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n}) 110.33/28.20 110.33/28.20 Remains to prove termination of the 125-rule system 110.33/28.20 { [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] , 110.33/28.20 [b, 1] [1, p] [p, 1] [1, b] ->= [b, q] [q, b] , 110.33/28.20 [b, 0] [0, q] [q, 0] [0, b] ->= [b, q] [q, b] , 110.33/28.20 [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] , 110.33/28.20 [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] , 110.33/28.20 [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] , 110.33/28.20 [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] , 110.33/28.20 [b, 0] [0, q] [q, 0] [0, q] ->= [b, q] [q, q] , 110.33/28.20 [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] , 110.33/28.20 [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] , 110.33/28.20 [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] , 110.33/28.20 [b, 1] [1, p] [p, 1] [1, p] ->= [b, q] [q, p] , 110.33/28.20 [b, 0] [0, q] [q, 0] [0, p] ->= [b, q] [q, p] , 110.33/28.20 [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] , 110.33/28.20 [b, p] [p, p] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] , 110.33/28.20 [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] , 110.33/28.20 [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] , 110.33/28.20 [b, 0] [0, q] [q, 0] [0, 1] ->= [b, q] [q, 1] , 110.33/28.20 [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] , 110.33/28.20 [b, p] [p, 1] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] , 110.33/28.21 [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] , 110.33/28.21 [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] , 110.33/28.21 [b, 0] [0, q] [q, 0] [0, 0] ->= [b, q] [q, 0] , 110.33/28.21 [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] , 110.33/28.21 [b, p] [p, 0] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] , 110.33/28.21 [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] , 110.33/28.21 [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] , 110.33/28.21 [q, 0] [0, q] [q, 0] [0, b] ->= [q, q] [q, b] , 110.33/28.21 [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] , 110.33/28.21 [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] , 110.33/28.21 [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] , 110.33/28.21 [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] , 110.33/28.21 [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] , 110.33/28.21 [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] , 110.33/28.21 [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] , 110.33/28.21 [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] , 110.33/28.21 [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] , 110.33/28.21 [q, 0] [0, q] [q, 0] [0, p] ->= [q, q] [q, p] , 110.33/28.21 [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] , 110.33/28.21 [q, p] [p, p] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] , 110.33/28.21 [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] , 110.33/28.21 [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] , 110.33/28.21 [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
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