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SRS Standard pair #516968753
details
property
value
status
complete
benchmark
z100.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n075.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
18.5287809372 seconds
cpu usage
70.347884125
max memory
6.807629824E9
stage attributes
key
value
output-size
8943
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 { r1 ↦ 0, a ↦ 1, r2 ↦ 2, l1 ↦ 3, l2 ↦ 4, b ↦ 5 }, it remains to prove termination of the 9-rule system { 0 1 ⟶ 1 1 1 0 , 2 1 ⟶ 1 1 1 2 , 1 3 ⟶ 3 1 1 1 , 1 1 4 ⟶ 4 1 1 , 0 5 ⟶ 3 5 , 2 5 ⟶ 4 1 5 , 5 3 ⟶ 5 2 , 5 4 ⟶ 5 0 , 1 1 ⟶ } Applying the dependency pairs transformation. Here, ↑ marks so-called defined symbols. After renaming modulo the bijection { (0,↑) ↦ 0, (1,↓) ↦ 1, (1,↑) ↦ 2, (0,↓) ↦ 3, (2,↑) ↦ 4, (2,↓) ↦ 5, (3,↓) ↦ 6, (4,↓) ↦ 7, (5,↓) ↦ 8, (5,↑) ↦ 9 }, it remains to prove termination of the 27-rule system { 0 1 ⟶ 2 1 1 3 , 0 1 ⟶ 2 1 3 , 0 1 ⟶ 2 3 , 0 1 ⟶ 0 , 4 1 ⟶ 2 1 1 5 , 4 1 ⟶ 2 1 5 , 4 1 ⟶ 2 5 , 4 1 ⟶ 4 , 2 6 ⟶ 2 1 1 , 2 6 ⟶ 2 1 , 2 6 ⟶ 2 , 2 1 7 ⟶ 2 1 , 2 1 7 ⟶ 2 , 4 8 ⟶ 2 8 , 9 6 ⟶ 9 5 , 9 6 ⟶ 4 , 9 7 ⟶ 9 3 , 9 7 ⟶ 0 , 3 1 →= 1 1 1 3 , 5 1 →= 1 1 1 5 , 1 6 →= 6 1 1 1 , 1 1 7 →= 7 1 1 , 3 8 →= 6 8 , 5 8 →= 7 1 8 , 8 6 →= 8 5 , 8 7 →= 8 3 , 1 1 →= } 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 0 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠ 8 ↦ ⎛ ⎞ ⎜ 1 1 ⎟ ⎜ 0 1 ⎟ ⎝ ⎠
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