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SRS Standard pair #516974843
details
property
value
status
complete
benchmark
size-12-alpha-3-num-561.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n061.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
1.59825897217 seconds
cpu usage
4.774381693
max memory
1.007091712E9
stage attributes
key
value
output-size
10192
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 { a ↦ 0, b ↦ 1, c ↦ 2 }, it remains to prove termination of the 3-rule system { 0 1 ⟶ , 0 2 ⟶ 2 2 , 1 2 ⟶ 0 1 0 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, (1,2) ↦ 3, (0,2) ↦ 4, (1,4) ↦ 5, (0,4) ↦ 6, (3,0) ↦ 7, (3,2) ↦ 8, (3,4) ↦ 9, (2,2) ↦ 10, (2,4) ↦ 11 }, it remains to prove termination of the 17-rule system { 0 1 2 ⟶ 0 , 0 1 3 ⟶ 4 , 0 1 5 ⟶ 6 , 2 1 2 ⟶ 2 , 2 1 3 ⟶ 3 , 2 1 5 ⟶ 5 , 7 1 2 ⟶ 7 , 7 1 3 ⟶ 8 , 7 1 5 ⟶ 9 , 0 4 10 ⟶ 4 10 10 , 0 4 11 ⟶ 4 10 11 , 2 4 10 ⟶ 3 10 10 , 2 4 11 ⟶ 3 10 11 , 7 4 10 ⟶ 8 10 10 , 7 4 11 ⟶ 8 10 11 , 1 3 10 ⟶ 0 1 2 1 3 , 1 3 11 ⟶ 0 1 2 1 5 } 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 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 8 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 9 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 10 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 11 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2, 3 ↦ 3, 4 ↦ 4, 5 ↦ 5, 6 ↦ 6, 7 ↦ 7, 10 ↦ 8, 11 ↦ 9 },
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