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SRS Standard pair #516975377
details
property
value
status
complete
benchmark
size-12-alpha-3-num-133.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
26.1453371048 seconds
cpu usage
102.300905334
max memory
9.237741568E9
stage attributes
key
value
output-size
1108641
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 ⟶ , 0 1 ⟶ , 0 2 2 ⟶ 2 2 1 0 2 0 } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (0,2) ↦ 2, (0,4) ↦ 3, (1,0) ↦ 4, (1,1) ↦ 5, (1,2) ↦ 6, (1,4) ↦ 7, (2,0) ↦ 8, (2,1) ↦ 9, (2,2) ↦ 10, (2,4) ↦ 11 }, it remains to prove termination of the 36-rule system { 0 0 ⟶ 0 , 0 1 ⟶ 1 , 0 2 ⟶ 2 , 0 3 ⟶ 3 , 4 0 ⟶ 4 , 4 1 ⟶ 5 , 4 2 ⟶ 6 , 4 3 ⟶ 7 , 8 0 ⟶ 8 , 8 1 ⟶ 9 , 8 2 ⟶ 10 , 8 3 ⟶ 11 , 0 1 4 ⟶ 0 , 0 1 5 ⟶ 1 , 0 1 6 ⟶ 2 , 0 1 7 ⟶ 3 , 4 1 4 ⟶ 4 , 4 1 5 ⟶ 5 , 4 1 6 ⟶ 6 , 4 1 7 ⟶ 7 , 8 1 4 ⟶ 8 , 8 1 5 ⟶ 9 , 8 1 6 ⟶ 10 , 8 1 7 ⟶ 11 , 0 2 10 8 ⟶ 2 10 9 4 2 8 0 , 0 2 10 9 ⟶ 2 10 9 4 2 8 1 , 0 2 10 10 ⟶ 2 10 9 4 2 8 2 , 0 2 10 11 ⟶ 2 10 9 4 2 8 3 , 4 2 10 8 ⟶ 6 10 9 4 2 8 0 , 4 2 10 9 ⟶ 6 10 9 4 2 8 1 , 4 2 10 10 ⟶ 6 10 9 4 2 8 2 , 4 2 10 11 ⟶ 6 10 9 4 2 8 3 , 8 2 10 8 ⟶ 10 10 9 4 2 8 0 , 8 2 10 9 ⟶ 10 10 9 4 2 8 1 , 8 2 10 10 ⟶ 10 10 9 4 2 8 2 , 8 2 10 11 ⟶ 10 10 9 4 2 8 3 } Applying sparse untiling TRFCU(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2, 3 ↦ 3, 4 ↦ 4, 6 ↦ 5, 8 ↦ 6, 9 ↦ 7, 10 ↦ 8, 11 ↦ 9, 5 ↦ 10, 7 ↦ 11 }, it remains to prove termination of the 29-rule system { 0 0 ⟶ 0 , 0 1 ⟶ 1 , 0 2 ⟶ 2 , 0 3 ⟶ 3 , 4 2 ⟶ 5 , 6 0 ⟶ 6 , 6 1 ⟶ 7 , 6 2 ⟶ 8 , 6 3 ⟶ 9 , 0 1 4 ⟶ 0 , 0 1 10 ⟶ 1 , 0 1 5 ⟶ 2 , 0 1 11 ⟶ 3 , 6 1 4 ⟶ 6 , 6 1 10 ⟶ 7 , 6 1 5 ⟶ 8 , 6 1 11 ⟶ 9 , 0 2 8 6 ⟶ 2 8 7 4 2 6 0 , 0 2 8 7 ⟶ 2 8 7 4 2 6 1 , 0 2 8 8 ⟶ 2 8 7 4 2 6 2 , 0 2 8 9 ⟶ 2 8 7 4 2 6 3 , 4 2 8 6 ⟶ 5 8 7 4 2 6 0 , 4 2 8 7 ⟶ 5 8 7 4 2 6 1 , 4 2 8 8 ⟶ 5 8 7 4 2 6 2 , 4 2 8 9 ⟶ 5 8 7 4 2 6 3 , 6 2 8 6 ⟶ 8 8 7 4 2 6 0 , 6 2 8 7 ⟶ 8 8 7 4 2 6 1 , 6 2 8 8 ⟶ 8 8 7 4 2 6 2 , 6 2 8 9 ⟶ 8 8 7 4 2 6 3 } 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 ⎟
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