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SRS Standard pair #516972665
details
property
value
status
complete
benchmark
40093.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
1.69836091995 seconds
cpu usage
5.214294126
max memory
1.413779456E9
stage attributes
key
value
output-size
26001
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2, 3 ↦ 3, 4 ↦ 4, 5 ↦ 5 }, it remains to prove termination of the 2-rule system { 0 1 2 3 4 5 1 ⟶ 1 2 3 4 5 1 1 0 1 2 3 4 5 0 1 2 3 4 5 , 0 1 2 3 4 5 1 ⟶ 1 2 3 4 5 1 1 0 1 2 3 4 5 0 1 2 3 4 5 0 1 2 3 4 5 } The system was reversed. After renaming modulo the bijection { 1 ↦ 0, 5 ↦ 1, 4 ↦ 2, 3 ↦ 3, 2 ↦ 4, 0 ↦ 5 }, it remains to prove termination of the 2-rule system { 0 1 2 3 4 0 5 ⟶ 1 2 3 4 0 5 1 2 3 4 0 5 0 0 1 2 3 4 0 , 0 1 2 3 4 0 5 ⟶ 1 2 3 4 0 5 1 2 3 4 0 5 1 2 3 4 0 5 0 0 1 2 3 4 0 } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (1,2) ↦ 2, (2,3) ↦ 3, (3,4) ↦ 4, (4,0) ↦ 5, (0,5) ↦ 6, (5,0) ↦ 7, (5,1) ↦ 8, (4,1) ↦ 9 }, it remains to prove termination of the 12-rule system { 0 1 2 3 4 5 6 7 ⟶ 1 2 3 4 5 6 8 2 3 4 5 6 7 0 1 2 3 4 5 0 , 0 1 2 3 4 5 6 8 ⟶ 1 2 3 4 5 6 8 2 3 4 5 6 7 0 1 2 3 4 5 1 , 5 1 2 3 4 5 6 7 ⟶ 9 2 3 4 5 6 8 2 3 4 5 6 7 0 1 2 3 4 5 0 , 5 1 2 3 4 5 6 8 ⟶ 9 2 3 4 5 6 8 2 3 4 5 6 7 0 1 2 3 4 5 1 , 7 1 2 3 4 5 6 7 ⟶ 8 2 3 4 5 6 8 2 3 4 5 6 7 0 1 2 3 4 5 0 , 7 1 2 3 4 5 6 8 ⟶ 8 2 3 4 5 6 8 2 3 4 5 6 7 0 1 2 3 4 5 1 , 0 1 2 3 4 5 6 7 ⟶ 1 2 3 4 5 6 8 2 3 4 5 6 8 2 3 4 5 6 7 0 1 2 3 4 5 0 , 0 1 2 3 4 5 6 8 ⟶ 1 2 3 4 5 6 8 2 3 4 5 6 8 2 3 4 5 6 7 0 1 2 3 4 5 1 , 5 1 2 3 4 5 6 7 ⟶ 9 2 3 4 5 6 8 2 3 4 5 6 8 2 3 4 5 6 7 0 1 2 3 4 5 0 , 5 1 2 3 4 5 6 8 ⟶ 9 2 3 4 5 6 8 2 3 4 5 6 8 2 3 4 5 6 7 0 1 2 3 4 5 1 , 7 1 2 3 4 5 6 7 ⟶ 8 2 3 4 5 6 8 2 3 4 5 6 8 2 3 4 5 6 7 0 1 2 3 4 5 0 , 7 1 2 3 4 5 6 8 ⟶ 8 2 3 4 5 6 8 2 3 4 5 6 8 2 3 4 5 6 7 0 1 2 3 4 5 1 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 9: 0 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 1 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 1 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 1 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 0 0 0 0 ⎟ ⎝ ⎠
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