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SRS Standard pair #487091381
details
property
value
status
complete
benchmark
z070.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n053.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
MultumNonMulta 20 June 2020 20G sparse
configuration
default
runtime (wallclock)
0.531282 seconds
cpu usage
1.10054
user time
0.946517
system time
0.15402
max virtual memory
113188.0
max residence set size
185080.0
stage attributes
key
value
starexec-result
YES
output
YES After renaming modulo { a->0, b->1, C->2, c->3, A->4, B->5 }, it remains to prove termination of the 24-rule system { 0 1 -> 2 , 1 3 -> 4 , 3 0 -> 5 , 4 2 -> 1 , 2 5 -> 0 , 5 4 -> 3 , 0 0 0 0 0 -> 4 4 4 , 4 4 4 4 -> 0 0 0 0 , 1 1 1 1 1 -> 5 5 5 , 5 5 5 5 -> 1 1 1 1 , 3 3 3 3 3 -> 2 2 2 , 2 2 2 2 -> 3 3 3 3 , 5 0 0 0 0 -> 3 4 4 4 , 4 4 4 1 -> 0 0 0 0 2 , 2 1 1 1 1 -> 0 5 5 5 , 5 5 5 3 -> 1 1 1 1 4 , 4 3 3 3 3 -> 1 2 2 2 , 2 2 2 0 -> 3 3 3 3 5 , 0 4 -> , 4 0 -> , 1 5 -> , 5 1 -> , 3 2 -> , 2 3 -> } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 2 | | 0 1 | \ / 1 is interpreted by / \ | 1 2 | | 0 1 | \ / 2 is interpreted by / \ | 1 3 | | 0 1 | \ / 3 is interpreted by / \ | 1 2 | | 0 1 | \ / 4 is interpreted by / \ | 1 3 | | 0 1 | \ / 5 is interpreted by / \ | 1 3 | | 0 1 | \ / After renaming modulo { 5->0, 0->1, 3->2, 4->3, 1->4, 2->5 }, it remains to prove termination of the 6-rule system { 0 1 1 1 1 -> 2 3 3 3 , 3 3 3 4 -> 1 1 1 1 5 , 5 4 4 4 4 -> 1 0 0 0 , 0 0 0 2 -> 4 4 4 4 3 , 3 2 2 2 2 -> 4 5 5 5 , 5 5 5 1 -> 2 2 2 2 0 } Applying the dependency pairs transformation. After renaming modulo { (0,true)->0, (1,false)->1, (3,true)->2, (3,false)->3, (4,false)->4, (5,true)->5, (0,false)->6, (2,false)->7, (5,false)->8 }, it remains to prove termination of the 18-rule system { 0 1 1 1 1 -> 2 3 3 , 0 1 1 1 1 -> 2 3 , 0 1 1 1 1 -> 2 , 2 3 3 4 -> 5 , 5 4 4 4 4 -> 0 6 6 , 5 4 4 4 4 -> 0 6 , 5 4 4 4 4 -> 0 , 0 6 6 7 -> 2 , 2 7 7 7 7 -> 5 8 8 , 2 7 7 7 7 -> 5 8 , 2 7 7 7 7 -> 5 , 5 8 8 1 -> 0 , 6 1 1 1 1 ->= 7 3 3 3 , 3 3 3 4 ->= 1 1 1 1 8 , 8 4 4 4 4 ->= 1 6 6 6 , 6 6 6 7 ->= 4 4 4 4 3 , 3 7 7 7 7 ->= 4 8 8 8 , 8 8 8 1 ->= 7 7 7 7 6 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2:
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