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SRS Standard pair #516972797
details
property
value
status
complete
benchmark
26123.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n068.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
1.91517686844 seconds
cpu usage
5.970920562
max memory
1.55039744E9
stage attributes
key
value
output-size
16297
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 the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2 }, it remains to prove termination of the 6-rule system { 0 1 2 1 ⟶ 1 2 1 1 0 1 2 0 1 2 , 0 1 2 1 ⟶ 1 2 1 1 0 1 2 0 1 2 0 1 2 , 0 1 2 1 ⟶ 1 2 1 1 0 1 2 0 1 2 0 1 2 0 1 2 , 0 1 2 1 ⟶ 1 2 1 1 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 , 0 1 2 1 ⟶ 1 2 1 1 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 , 0 1 2 1 ⟶ 1 2 1 1 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 } The system was reversed. After renaming modulo the bijection { 1 ↦ 0, 2 ↦ 1, 0 ↦ 2 }, it remains to prove termination of the 6-rule system { 0 1 0 2 ⟶ 1 0 2 1 0 2 0 0 1 0 , 0 1 0 2 ⟶ 1 0 2 1 0 2 1 0 2 0 0 1 0 , 0 1 0 2 ⟶ 1 0 2 1 0 2 1 0 2 1 0 2 0 0 1 0 , 0 1 0 2 ⟶ 1 0 2 1 0 2 1 0 2 1 0 2 1 0 2 0 0 1 0 , 0 1 0 2 ⟶ 1 0 2 1 0 2 1 0 2 1 0 2 1 0 2 1 0 2 0 0 1 0 , 0 1 0 2 ⟶ 1 0 2 1 0 2 1 0 2 1 0 2 1 0 2 1 0 2 1 0 2 0 0 1 0 } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (1,0) ↦ 2, (0,2) ↦ 3, (2,0) ↦ 4, (2,1) ↦ 5, (1,1) ↦ 6 }, it remains to prove termination of the 36-rule system { 0 1 2 3 4 ⟶ 1 2 3 5 2 3 4 0 1 2 0 , 0 1 2 3 5 ⟶ 1 2 3 5 2 3 4 0 1 2 1 , 2 1 2 3 4 ⟶ 6 2 3 5 2 3 4 0 1 2 0 , 2 1 2 3 5 ⟶ 6 2 3 5 2 3 4 0 1 2 1 , 4 1 2 3 4 ⟶ 5 2 3 5 2 3 4 0 1 2 0 , 4 1 2 3 5 ⟶ 5 2 3 5 2 3 4 0 1 2 1 , 0 1 2 3 4 ⟶ 1 2 3 5 2 3 5 2 3 4 0 1 2 0 , 0 1 2 3 5 ⟶ 1 2 3 5 2 3 5 2 3 4 0 1 2 1 , 2 1 2 3 4 ⟶ 6 2 3 5 2 3 5 2 3 4 0 1 2 0 , 2 1 2 3 5 ⟶ 6 2 3 5 2 3 5 2 3 4 0 1 2 1 , 4 1 2 3 4 ⟶ 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 4 1 2 3 5 ⟶ 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 0 1 2 3 4 ⟶ 1 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 0 1 2 3 5 ⟶ 1 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 2 1 2 3 4 ⟶ 6 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 2 1 2 3 5 ⟶ 6 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 4 1 2 3 4 ⟶ 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 4 1 2 3 5 ⟶ 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 0 1 2 3 4 ⟶ 1 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 0 1 2 3 5 ⟶ 1 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 2 1 2 3 4 ⟶ 6 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 2 1 2 3 5 ⟶ 6 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 4 1 2 3 4 ⟶ 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 4 1 2 3 5 ⟶ 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 0 1 2 3 4 ⟶ 1 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 0 1 2 3 5 ⟶ 1 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 2 1 2 3 4 ⟶ 6 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 2 1 2 3 5 ⟶ 6 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 4 1 2 3 4 ⟶ 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 4 1 2 3 5 ⟶ 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 0 1 2 3 4 ⟶ 1 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 0 1 2 3 5 ⟶ 1 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 2 1 2 3 4 ⟶ 6 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 2 1 2 3 5 ⟶ 6 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 , 4 1 2 3 4 ⟶ 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 0 , 4 1 2 3 5 ⟶ 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 5 2 3 4 0 1 2 1 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 6: 0 ↦ ⎛ ⎞ ⎜ 1 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 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 0 ⎟ ⎜ 0 1 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 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 0 ⎟ ⎜ 0 1 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 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞
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