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SRS Standard pair #516975659
details
property
value
status
complete
benchmark
2-matchbox.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n137.star.cs.uiowa.edu
space
Secret_06_SRS
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
1.92481398582 seconds
cpu usage
5.784829897
max memory
1.286774784E9
stage attributes
key
value
output-size
23746
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 { c ↦ 0, a ↦ 1, b ↦ 2 }, it remains to prove termination of the 3-rule system { 0 0 ⟶ 1 1 1 2 2 2 , 2 2 2 1 ⟶ 2 2 2 2 2 2 2 2 , 2 2 0 0 ⟶ 0 0 0 1 1 1 1 } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (1,1) ↦ 2, (1,2) ↦ 3, (2,2) ↦ 4, (2,0) ↦ 5, (2,1) ↦ 6, (1,0) ↦ 7, (3,0) ↦ 8, (3,1) ↦ 9, (1,4) ↦ 10, (2,4) ↦ 11, (3,2) ↦ 12 }, it remains to prove termination of the 26-rule system { 0 0 0 ⟶ 1 2 2 3 4 4 5 , 0 0 1 ⟶ 1 2 2 3 4 4 6 , 7 0 0 ⟶ 2 2 2 3 4 4 5 , 7 0 1 ⟶ 2 2 2 3 4 4 6 , 5 0 0 ⟶ 6 2 2 3 4 4 5 , 5 0 1 ⟶ 6 2 2 3 4 4 6 , 8 0 0 ⟶ 9 2 2 3 4 4 5 , 8 0 1 ⟶ 9 2 2 3 4 4 6 , 3 4 4 6 7 ⟶ 3 4 4 4 4 4 4 4 5 , 3 4 4 6 2 ⟶ 3 4 4 4 4 4 4 4 6 , 3 4 4 6 3 ⟶ 3 4 4 4 4 4 4 4 4 , 3 4 4 6 10 ⟶ 3 4 4 4 4 4 4 4 11 , 4 4 4 6 7 ⟶ 4 4 4 4 4 4 4 4 5 , 4 4 4 6 2 ⟶ 4 4 4 4 4 4 4 4 6 , 4 4 4 6 3 ⟶ 4 4 4 4 4 4 4 4 4 , 4 4 4 6 10 ⟶ 4 4 4 4 4 4 4 4 11 , 12 4 4 6 7 ⟶ 12 4 4 4 4 4 4 4 5 , 12 4 4 6 2 ⟶ 12 4 4 4 4 4 4 4 6 , 12 4 4 6 3 ⟶ 12 4 4 4 4 4 4 4 4 , 12 4 4 6 10 ⟶ 12 4 4 4 4 4 4 4 11 , 3 4 5 0 0 ⟶ 7 0 0 1 2 2 2 7 , 3 4 5 0 1 ⟶ 7 0 0 1 2 2 2 2 , 4 4 5 0 0 ⟶ 5 0 0 1 2 2 2 7 , 4 4 5 0 1 ⟶ 5 0 0 1 2 2 2 2 , 12 4 5 0 0 ⟶ 8 0 0 1 2 2 2 7 , 12 4 5 0 1 ⟶ 8 0 0 1 2 2 2 2 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 6 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 7 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 8 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 9 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 10 ↦ ⎛ ⎞ ⎜ 1 1 ⎟
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