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SRS Standard pair #516968225
details
property
value
status
complete
benchmark
matchbox1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n168.star.cs.uiowa.edu
space
Secret_05_SRS
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
1.0256819725 seconds
cpu usage
2.349181284
max memory
6.40774144E8
stage attributes
key
value
output-size
6072
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 { r ↦ 0, e ↦ 1, w ↦ 2, i ↦ 3, t ↦ 4 }, it remains to prove termination of the 7-rule system { 0 1 ⟶ 2 0 , 3 4 ⟶ 1 0 , 1 2 ⟶ 0 3 , 4 1 ⟶ 0 1 , 2 0 ⟶ 3 4 , 1 0 ⟶ 1 2 , 0 3 4 1 0 ⟶ 1 2 0 3 4 1 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 ↦ ⎛ ⎞ ⎜ 1 2 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞ ⎜ 1 3 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2, 3 ↦ 3, 4 ↦ 4 }, it remains to prove termination of the 5-rule system { 0 1 ⟶ 2 0 , 3 4 ⟶ 1 0 , 1 2 ⟶ 0 3 , 2 0 ⟶ 3 4 , 0 3 4 1 0 ⟶ 1 2 0 3 4 1 } Applying the dependency pairs transformation. Here, ↑ marks so-called defined symbols. After renaming modulo the bijection { (0,↑) ↦ 0, (1,↓) ↦ 1, (2,↑) ↦ 2, (0,↓) ↦ 3, (3,↑) ↦ 4, (4,↓) ↦ 5, (1,↑) ↦ 6, (2,↓) ↦ 7, (3,↓) ↦ 8 }, it remains to prove termination of the 17-rule system { 0 1 ⟶ 2 3 , 0 1 ⟶ 0 , 4 5 ⟶ 6 3 , 4 5 ⟶ 0 , 6 7 ⟶ 0 8 , 6 7 ⟶ 4 , 2 3 ⟶ 4 5 , 0 8 5 1 3 ⟶ 6 7 3 8 5 1 , 0 8 5 1 3 ⟶ 2 3 8 5 1 , 0 8 5 1 3 ⟶ 0 8 5 1 , 0 8 5 1 3 ⟶ 4 5 1 , 0 8 5 1 3 ⟶ 6 , 3 1 →= 7 3 , 8 5 →= 1 3 , 1 7 →= 3 8 , 7 3 →= 8 5 , 3 8 5 1 3 →= 1 7 3 8 5 1 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 ↦ ⎛ ⎞ ⎜ 1 2 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 1 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 2 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 3 ↦ ⎛ ⎞ ⎜ 1 2 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 4 ↦ ⎛ ⎞
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