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SRS Standard pair #516976361
details
property
value
status
complete
benchmark
random-402.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n135.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
1.37979006767 seconds
cpu usage
3.537207182
max memory
9.07853824E8
stage attributes
key
value
output-size
6085
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 { a ↦ 0, b ↦ 1 }, it remains to prove termination of the 4-rule system { 0 1 1 1 ⟶ 1 1 1 1 , 1 1 1 0 ⟶ 1 0 1 0 , 1 1 0 0 ⟶ 1 0 1 0 , 0 0 0 1 ⟶ 0 1 0 0 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 5: 0 ↦ ⎛ ⎞ ⎜ 1 0 0 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 1 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 1 0 0 ⎟ ⎜ 0 1 0 0 0 ⎟ ⎜ 0 0 0 1 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎜ 0 0 0 0 0 ⎟ ⎝ ⎠ After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1 }, it remains to prove termination of the 3-rule system { 0 1 1 1 ⟶ 1 1 1 1 , 1 1 1 0 ⟶ 1 0 1 0 , 0 0 0 1 ⟶ 0 1 0 0 } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (1,1) ↦ 2, (1,0) ↦ 3, (1,3) ↦ 4, (2,0) ↦ 5, (2,1) ↦ 6, (0,3) ↦ 7 }, it remains to prove termination of the 27-rule system { 0 1 2 2 3 ⟶ 1 2 2 2 3 , 0 1 2 2 2 ⟶ 1 2 2 2 2 , 0 1 2 2 4 ⟶ 1 2 2 2 4 , 3 1 2 2 3 ⟶ 2 2 2 2 3 , 3 1 2 2 2 ⟶ 2 2 2 2 2 , 3 1 2 2 4 ⟶ 2 2 2 2 4 , 5 1 2 2 3 ⟶ 6 2 2 2 3 , 5 1 2 2 2 ⟶ 6 2 2 2 2 , 5 1 2 2 4 ⟶ 6 2 2 2 4 , 1 2 2 3 0 ⟶ 1 3 1 3 0 , 1 2 2 3 1 ⟶ 1 3 1 3 1 , 1 2 2 3 7 ⟶ 1 3 1 3 7 , 2 2 2 3 0 ⟶ 2 3 1 3 0 , 2 2 2 3 1 ⟶ 2 3 1 3 1 , 2 2 2 3 7 ⟶ 2 3 1 3 7 , 6 2 2 3 0 ⟶ 6 3 1 3 0 , 6 2 2 3 1 ⟶ 6 3 1 3 1 , 6 2 2 3 7 ⟶ 6 3 1 3 7 , 0 0 0 1 3 ⟶ 0 1 3 0 0 , 0 0 0 1 2 ⟶ 0 1 3 0 1 , 0 0 0 1 4 ⟶ 0 1 3 0 7 , 3 0 0 1 3 ⟶ 3 1 3 0 0 , 3 0 0 1 2 ⟶ 3 1 3 0 1 , 3 0 0 1 4 ⟶ 3 1 3 0 7 , 5 0 0 1 3 ⟶ 5 1 3 0 0 , 5 0 0 1 2 ⟶ 5 1 3 0 1 , 5 0 0 1 4 ⟶ 5 1 3 0 7 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠
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