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SRS Standard pair #516972965
details
property
value
status
complete
benchmark
01.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n034.star.cs.uiowa.edu
space
Bouchare_06
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
0.862700939178 seconds
cpu usage
1.794448956
max memory
5.63990528E8
stage attributes
key
value
output-size
1722
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 { b ↦ 0, a ↦ 1 }, it remains to prove termination of the 3-rule system { 0 0 0 ⟶ 1 , 1 1 ⟶ 1 0 1 , 1 1 1 ⟶ 0 1 1 } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (1,0) ↦ 2, (1,1) ↦ 3, (2,0) ↦ 4, (2,1) ↦ 5, (1,3) ↦ 6 }, it remains to prove termination of the 24-rule system { 0 0 0 0 ⟶ 1 2 , 0 0 0 1 ⟶ 1 3 , 2 0 0 0 ⟶ 3 2 , 2 0 0 1 ⟶ 3 3 , 4 0 0 0 ⟶ 5 2 , 4 0 0 1 ⟶ 5 3 , 1 3 2 ⟶ 1 2 1 2 , 1 3 3 ⟶ 1 2 1 3 , 1 3 6 ⟶ 1 2 1 6 , 3 3 2 ⟶ 3 2 1 2 , 3 3 3 ⟶ 3 2 1 3 , 3 3 6 ⟶ 3 2 1 6 , 5 3 2 ⟶ 5 2 1 2 , 5 3 3 ⟶ 5 2 1 3 , 5 3 6 ⟶ 5 2 1 6 , 1 3 3 2 ⟶ 0 1 3 2 , 1 3 3 3 ⟶ 0 1 3 3 , 1 3 3 6 ⟶ 0 1 3 6 , 3 3 3 2 ⟶ 2 1 3 2 , 3 3 3 3 ⟶ 2 1 3 3 , 3 3 3 6 ⟶ 2 1 3 6 , 5 3 3 2 ⟶ 4 1 3 2 , 5 3 3 3 ⟶ 4 1 3 3 , 5 3 3 6 ⟶ 4 1 3 6 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 4 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 6 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ After renaming modulo the bijection { }, it remains to prove termination of the 0-rule system { } The system is trivially terminating.
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