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SRS Relative pair #487521657
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
n082.star.cs.uiowa.edu
space
Zantema_06_relative
run statistics
property
value
solver
MultumNonMulta 3.16 29 June 2020 60G
configuration
default
runtime (wallclock)
13.4607021809 seconds
cpu usage
51.228128054
max memory
7.85874944E9
stage attributes
key
value
output-size
120362
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES After renaming modulo { b->0, q->1, p->2, 0->3, 1->4 }, it remains to prove termination of the 6-rule system { 0 1 0 -> 0 2 0 , 3 2 3 ->= 1 , 4 2 4 ->= 1 , 3 1 3 ->= 1 , 4 1 4 ->= 1 , 2 ->= 4 2 4 3 4 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 4: 0 is interpreted by / \ | 1 0 0 0 | | 0 1 0 0 | | 0 0 0 0 | | 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 | | 0 1 0 0 | | 0 0 0 0 | | 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 | | 0 1 0 0 | | 0 0 0 1 | | 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 | | 0 1 0 0 | | 0 0 0 0 | | 0 1 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 | | 0 1 0 0 | | 0 0 0 0 | | 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 4->3, 3->4 }, it remains to prove termination of the 5-rule system { 0 1 0 -> 0 2 0 , 3 2 3 ->= 1 , 4 1 4 ->= 1 , 3 1 3 ->= 1 , 2 ->= 3 2 3 4 3 } Applying context closure of depth 1 in the following form: System R over Sigma maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2, where fold(a_1...a_n) = (a_1,a_2)...(a_{n-1},a_{n}) After renaming modulo { [0, 0]->0, [0, 1]->1, [1, 0]->2, [0, 2]->3, [2, 0]->4, [0, 3]->5, [3, 2]->6, [2, 3]->7, [3, 0]->8, [0, 4]->9, [4, 1]->10, [1, 4]->11, [4, 0]->12, [3, 1]->13, [1, 3]->14, [3, 4]->15, [4, 3]->16, [1, 1]->17, [2, 1]->18, [1, 2]->19, [4, 2]->20, [2, 2]->21, [3, 3]->22, [4, 4]->23, [2, 4]->24 }, it remains to prove termination of the 125-rule system { 0 1 2 0 -> 0 3 4 0 , 5 6 7 8 ->= 1 2 , 9 10 11 12 ->= 1 2 , 5 13 14 8 ->= 1 2 , 3 4 ->= 5 6 7 15 16 8 , 0 1 2 1 -> 0 3 4 1 , 5 6 7 13 ->= 1 17 , 9 10 11 10 ->= 1 17 , 5 13 14 13 ->= 1 17 , 3 18 ->= 5 6 7 15 16 13 , 0 1 2 3 -> 0 3 4 3 , 5 6 7 6 ->= 1 19 , 9 10 11 20 ->= 1 19 , 5 13 14 6 ->= 1 19 , 3 21 ->= 5 6 7 15 16 6 , 0 1 2 5 -> 0 3 4 5 , 5 6 7 22 ->= 1 14 , 9 10 11 16 ->= 1 14 , 5 13 14 22 ->= 1 14 , 3 7 ->= 5 6 7 15 16 22 , 0 1 2 9 -> 0 3 4 9 , 5 6 7 15 ->= 1 11 , 9 10 11 23 ->= 1 11 , 5 13 14 15 ->= 1 11 , 3 24 ->= 5 6 7 15 16 15 , 2 1 2 0 -> 2 3 4 0 , 14 6 7 8 ->= 17 2 , 11 10 11 12 ->= 17 2 ,
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