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SRS Standard pair #516968285
details
property
value
status
complete
benchmark
torpa4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n007.star.cs.uiowa.edu
space
Secret_05_SRS
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
1.53141689301 seconds
cpu usage
4.306439645
max memory
9.56776448E8
stage attributes
key
value
output-size
7922
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, c ↦ 2, d ↦ 3, f ↦ 4, g ↦ 5 }, it remains to prove termination of the 9-rule system { 0 1 2 0 ⟶ 1 0 2 1 0 1 , 0 3 ⟶ 2 , 0 4 4 ⟶ 5 , 1 5 ⟶ 5 1 , 2 ⟶ 4 4 , 2 0 2 ⟶ 1 2 0 1 2 , 2 3 ⟶ 0 0 , 5 ⟶ 2 0 , 5 ⟶ 3 3 3 3 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 ↦ ⎛ ⎞ ⎜ 1 12 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 18 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 7 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 9 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 5 ↦ ⎛ ⎞ ⎜ 1 30 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2, 4 ↦ 3, 5 ↦ 4 }, it remains to prove termination of the 6-rule system { 0 1 2 0 ⟶ 1 0 2 1 0 1 , 0 3 3 ⟶ 4 , 1 4 ⟶ 4 1 , 2 ⟶ 3 3 , 2 0 2 ⟶ 1 2 0 1 2 , 4 ⟶ 2 0 } Applying the dependency pairs transformation. Here, ↑ marks so-called defined symbols. After renaming modulo the bijection { (0,↑) ↦ 0, (1,↓) ↦ 1, (2,↓) ↦ 2, (0,↓) ↦ 3, (1,↑) ↦ 4, (2,↑) ↦ 5, (3,↓) ↦ 6, (4,↑) ↦ 7, (4,↓) ↦ 8 }, it remains to prove termination of the 21-rule system { 0 1 2 3 ⟶ 4 3 2 1 3 1 , 0 1 2 3 ⟶ 0 2 1 3 1 , 0 1 2 3 ⟶ 5 1 3 1 , 0 1 2 3 ⟶ 4 3 1 , 0 1 2 3 ⟶ 0 1 , 0 1 2 3 ⟶ 4 , 0 6 6 ⟶ 7 , 4 8 ⟶ 7 1 , 4 8 ⟶ 4 , 5 3 2 ⟶ 4 2 3 1 2 , 5 3 2 ⟶ 5 3 1 2 , 5 3 2 ⟶ 0 1 2 , 5 3 2 ⟶ 4 2 , 7 ⟶ 5 3 , 7 ⟶ 0 , 3 1 2 3 →= 1 3 2 1 3 1 , 3 6 6 →= 8 , 1 8 →= 8 1 , 2 →= 6 6 , 2 3 2 →= 1 2 3 1 2 , 8 →= 2 3 } 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 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠
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