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SRS Standard pair #516972527
details
property
value
status
complete
benchmark
91233.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n061.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
MnM 3.18b
configuration
default
runtime (wallclock)
3.37306785583 seconds
cpu usage
11.331626543
max memory
3.699888128E9
stage attributes
key
value
output-size
144339
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 { 0 ↦ 0, 1 ↦ 1, 2 ↦ 2 }, it remains to prove termination of the 40-rule system { 0 0 0 0 0 1 2 1 0 1 0 1 2 2 2 0 1 2 2 0 1 1 1 ⟶ 0 0 0 1 2 2 1 1 0 2 1 1 2 2 2 2 1 2 0 0 1 1 2 2 1 1 1 , 0 0 0 2 0 1 1 1 1 2 1 1 2 1 2 1 2 1 2 1 1 1 0 ⟶ 0 1 1 1 1 1 2 1 2 1 2 1 1 1 0 0 2 2 1 1 0 1 0 0 2 1 1 , 0 0 0 2 1 2 1 2 1 2 1 1 1 0 2 0 1 1 2 2 0 1 2 ⟶ 0 1 1 2 0 1 1 1 1 1 1 0 2 0 1 0 1 1 0 1 0 1 2 2 0 2 1 , 0 0 1 1 1 0 2 1 2 2 1 1 1 2 0 2 0 1 2 0 1 1 2 ⟶ 0 1 1 1 1 1 1 1 2 0 1 0 1 0 2 2 2 0 1 2 2 2 1 0 0 1 1 , 0 0 1 1 1 1 2 2 0 0 1 1 0 2 2 1 0 1 1 2 0 1 0 ⟶ 2 2 1 1 2 2 2 0 1 1 1 2 0 1 1 1 2 1 2 1 0 1 2 2 1 1 0 , 0 1 0 1 1 2 0 1 1 2 2 0 0 2 1 0 2 0 2 2 2 0 2 ⟶ 2 1 2 1 1 2 1 1 0 1 0 1 0 1 2 1 0 0 2 1 1 1 2 1 1 1 2 , 0 1 1 0 2 1 0 2 1 0 2 0 2 2 0 1 1 0 1 2 2 1 1 ⟶ 2 1 0 1 0 0 1 1 1 2 0 0 2 2 2 1 1 2 1 1 0 1 1 0 1 1 1 , 0 1 1 2 1 1 2 2 2 1 1 2 0 0 1 2 0 0 1 0 0 2 0 ⟶ 0 0 2 2 1 0 2 1 2 1 1 2 1 2 2 1 1 1 1 1 0 0 1 2 1 2 0 , 0 1 2 1 2 0 0 1 0 1 1 2 1 1 2 2 1 1 1 2 2 0 2 ⟶ 0 1 2 0 1 1 0 1 2 1 1 1 2 0 1 0 1 1 0 1 2 2 1 2 1 2 1 , 0 2 0 2 1 2 0 0 2 0 0 1 0 0 2 2 0 1 1 0 1 0 1 ⟶ 0 1 0 2 0 0 2 1 1 1 0 0 2 1 0 2 2 2 1 1 0 1 1 1 1 0 1 , 0 2 0 2 1 2 1 0 0 1 1 2 1 1 0 1 0 1 0 2 2 2 1 ⟶ 1 2 1 2 2 1 1 1 1 1 1 0 2 2 2 1 1 2 1 2 1 0 2 1 1 0 1 , 0 2 1 0 2 0 0 2 0 1 1 1 2 0 1 1 2 1 1 0 1 0 0 ⟶ 1 2 2 2 0 1 1 2 0 0 1 1 0 1 0 1 1 1 0 1 1 1 1 2 2 1 1 , 0 2 1 2 1 1 0 0 1 1 0 2 2 0 1 2 0 2 0 1 1 0 0 ⟶ 2 1 1 1 2 2 0 1 1 1 1 2 2 2 2 1 0 0 2 0 2 1 2 1 1 2 2 , 0 2 1 2 2 0 1 0 1 0 1 0 2 1 0 0 1 1 1 2 1 0 0 ⟶ 2 2 2 2 2 1 1 2 2 1 0 1 1 1 1 0 1 1 2 2 1 1 1 2 0 1 2 , 0 2 2 1 1 1 1 2 2 1 2 1 2 0 0 1 2 1 0 0 2 0 0 ⟶ 2 2 2 1 1 2 2 2 0 2 0 1 0 1 1 2 2 2 0 1 2 1 1 0 0 2 2 , 0 2 2 2 0 1 2 2 1 2 1 0 1 0 2 2 1 2 1 0 2 1 2 ⟶ 1 0 2 2 1 2 2 2 1 2 0 2 1 0 1 0 1 2 2 1 1 0 1 1 1 1 2 , 0 2 2 2 1 2 2 0 0 2 1 2 2 1 0 1 1 1 1 1 2 0 0 ⟶ 0 1 1 1 2 0 0 0 1 1 2 2 0 1 1 2 1 1 1 1 1 1 1 2 2 2 2 , 0 2 2 2 2 0 1 1 2 1 0 1 2 2 1 1 2 2 0 2 1 0 0 ⟶ 1 2 1 1 1 2 2 1 1 1 0 1 1 0 1 2 2 1 2 1 2 0 0 1 1 1 1 , 1 0 0 0 0 2 1 1 1 2 2 2 1 2 1 0 0 1 0 0 2 1 0 ⟶ 1 1 2 1 1 2 2 0 2 0 1 1 0 1 1 0 0 1 0 1 1 1 2 1 2 1 0 , 1 0 0 1 1 1 1 0 1 0 0 1 0 2 0 2 1 1 2 0 2 1 1 ⟶ 1 2 2 1 1 2 2 1 0 2 2 2 1 2 2 1 2 0 2 1 2 1 1 1 1 0 1 , 1 0 2 2 0 2 2 2 1 0 2 2 2 1 0 0 2 0 2 0 2 1 1 ⟶ 1 0 0 1 1 1 0 2 0 0 0 1 2 1 2 1 1 1 1 1 1 0 0 0 2 1 1 , 1 0 2 2 1 1 0 0 2 1 2 1 0 2 1 0 0 2 2 0 1 2 1 ⟶ 1 1 2 1 0 2 1 1 1 2 1 0 2 1 2 2 1 0 1 1 0 2 2 1 1 0 1 , 1 1 0 0 0 0 1 0 0 0 1 2 0 1 1 1 1 2 1 1 1 2 0 ⟶ 1 2 1 0 0 1 2 1 1 1 2 0 1 2 1 1 1 2 2 0 1 2 2 1 0 2 1 , 1 1 0 0 0 2 0 2 0 1 1 0 2 2 1 1 2 1 1 0 0 2 0 ⟶ 1 2 1 2 1 2 2 1 2 1 1 1 0 2 2 1 1 2 0 1 1 0 1 1 0 0 2 , 1 1 0 2 1 1 1 1 2 0 0 2 2 1 0 2 2 1 2 2 0 1 2 ⟶ 1 1 0 0 1 0 0 2 1 1 2 1 0 2 2 2 2 1 1 1 0 1 1 2 1 1 0 , 1 1 1 0 1 0 2 0 0 0 1 2 1 1 1 2 2 0 0 1 1 1 1 ⟶ 1 0 1 2 1 0 1 1 0 1 1 1 1 1 0 1 2 1 0 2 0 1 1 1 2 1 1 , 1 1 1 2 1 2 2 1 2 2 2 1 0 0 0 0 2 1 0 1 1 0 0 ⟶ 1 2 1 1 1 1 1 2 0 1 2 1 1 2 2 2 1 1 1 1 0 0 2 2 0 2 2 , 1 1 2 0 0 0 2 0 1 2 2 2 1 1 1 2 0 0 2 1 2 0 1 ⟶ 1 1 2 1 2 2 1 1 0 2 2 1 1 2 0 2 0 2 1 1 1 2 1 2 0 2 1 , 1 1 2 0 0 2 1 0 0 0 2 2 2 2 2 2 1 0 1 1 0 0 2 ⟶ 1 1 1 2 1 0 1 2 1 0 1 1 2 2 2 0 2 1 1 0 2 1 2 2 1 1 1 , 1 1 2 0 2 2 0 1 1 2 0 1 2 2 2 1 2 2 2 0 2 0 1 ⟶ 1 1 1 1 2 2 2 2 0 1 1 2 1 1 1 2 0 0 2 1 0 0 2 2 0 1 1 , 1 1 2 2 2 2 2 1 2 2 0 0 1 2 0 0 0 2 2 1 0 2 2 ⟶ 1 0 2 1 2 2 1 1 1 2 2 2 2 2 2 1 1 0 0 1 0 0 0 1 1 1 2 , 1 2 0 1 0 1 1 1 0 0 2 1 1 2 1 2 2 0 2 0 1 1 2 ⟶ 1 2 2 0 2 1 2 1 1 0 1 1 0 2 2 2 1 1 0 2 1 2 1 1 1 1 2 , 1 2 0 1 1 0 1 1 0 0 2 2 2 2 0 0 2 2 0 0 2 2 0 ⟶ 1 2 2 0 1 2 1 1 1 1 2 2 0 2 0 0 2 0 1 1 1 0 1 2 1 2 0 , 1 2 0 2 2 2 0 0 1 1 0 1 1 2 1 0 2 2 0 2 2 0 1 ⟶ 1 1 1 1 0 1 2 0 0 0 0 1 1 1 2 1 1 2 1 1 2 0 2 2 2 0 1 , 1 2 1 2 1 1 1 0 2 0 1 2 2 2 0 1 1 1 2 2 0 0 0 ⟶ 1 2 0 1 2 2 1 2 1 1 0 1 1 1 0 1 0 1 2 1 1 0 2 2 0 2 2 , 2 0 2 0 1 1 0 0 0 1 1 0 0 1 2 2 1 1 2 0 2 0 1 ⟶ 2 2 1 0 2 1 2 2 1 0 0 2 0 2 2 1 1 1 0 2 2 2 2 2 1 0 1 , 2 1 1 0 2 0 2 1 1 2 1 1 0 0 0 0 0 2 2 1 1 1 2 ⟶ 2 2 1 1 2 2 0 2 1 0 2 1 1 1 1 0 2 2 2 1 1 1 1 0 2 2 2 , 2 1 1 1 2 2 1 0 1 1 2 2 2 0 0 0 0 2 0 2 0 1 2 ⟶ 2 1 0 1 2 0 0 2 2 1 1 0 1 1 2 0 1 1 0 0 0 2 1 1 1 1 1 , 2 2 0 0 1 2 0 0 0 1 1 0 2 2 2 2 1 1 2 1 2 0 2 ⟶ 2 0 1 1 1 0 0 0 1 2 2 2 0 1 1 0 2 2 0 1 1 1 0 2 2 2 0 , 2 2 0 1 2 2 1 2 2 0 2 0 1 1 2 2 1 0 1 0 0 2 0 ⟶ 2 2 1 0 1 1 0 0 2 2 0 1 0 1 1 1 2 1 1 1 0 2 1 2 2 1 2 } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (1,2) ↦ 2, (2,1) ↦ 3, (1,0) ↦ 4, (2,2) ↦ 5, (2,0) ↦ 6, (1,1) ↦ 7, (0,2) ↦ 8, (1,4) ↦ 9, (3,0) ↦ 10, (0,4) ↦ 11, (2,4) ↦ 12, (3,2) ↦ 13, (3,1) ↦ 14 }, it remains to prove termination of the 640-rule system { 0 0 0 0 0 1 2 3 4 1 4 1 2 5 5 6 1 2 5 6 1 7 7 4 ⟶ 0 0 0 1 2 5 3 7 4 8 3 7 2 5 5 5 3 2 6 0 1 7 2 5 3 7 7 4 , 0 0 0 0 0 1 2 3 4 1 4 1 2 5 5 6 1 2 5 6 1 7 7 7 ⟶ 0 0 0 1 2 5 3 7 4 8 3 7 2 5 5 5 3 2 6 0 1 7 2 5 3 7 7 7 , 0 0 0 0 0 1 2 3 4 1 4 1 2 5 5 6 1 2 5 6 1 7 7 2 ⟶ 0 0 0 1 2 5 3 7 4 8 3 7 2 5 5 5 3 2 6 0 1 7 2 5 3 7 7 2 , 0 0 0 0 0 1 2 3 4 1 4 1 2 5 5 6 1 2 5 6 1 7 7 9 ⟶ 0 0 0 1 2 5 3 7 4 8 3 7 2 5 5 5 3 2 6 0 1 7 2 5 3 7 7 9 , 4 0 0 0 0 1 2 3 4 1 4 1 2 5 5 6 1 2 5 6 1 7 7 4 ⟶ 4 0 0 1 2 5 3 7 4 8 3 7 2 5 5 5 3 2 6 0 1 7 2 5 3 7 7 4 , 4 0 0 0 0 1 2 3 4 1 4 1 2 5 5 6 1 2 5 6 1 7 7 7 ⟶ 4 0 0 1 2 5 3 7 4 8 3 7 2 5 5 5 3 2 6 0 1 7 2 5 3 7 7 7 , 4 0 0 0 0 1 2 3 4 1 4 1 2 5 5 6 1 2 5 6 1 7 7 2 ⟶ 4 0 0 1 2 5 3 7 4 8 3 7 2 5 5 5 3 2 6 0 1 7 2 5 3 7 7 2 , 4 0 0 0 0 1 2 3 4 1 4 1 2 5 5 6 1 2 5 6 1 7 7 9 ⟶ 4 0 0 1 2 5 3 7 4 8 3 7 2 5 5 5 3 2 6 0 1 7 2 5 3 7 7 9 , 6 0 0 0 0 1 2 3 4 1 4 1 2 5 5 6 1 2 5 6 1 7 7 4 ⟶ 6 0 0 1 2 5 3 7 4 8 3 7 2 5 5 5 3 2 6 0 1 7 2 5 3 7 7 4 , 6 0 0 0 0 1 2 3 4 1 4 1 2 5 5 6 1 2 5 6 1 7 7 7 ⟶ 6 0 0 1 2 5 3 7 4 8 3 7 2 5 5 5 3 2 6 0 1 7 2 5 3 7 7 7 , 6 0 0 0 0 1 2 3 4 1 4 1 2 5 5 6 1 2 5 6 1 7 7 2 ⟶ 6 0 0 1 2 5 3 7 4 8 3 7 2 5 5 5 3 2 6 0 1 7 2 5 3 7 7 2 , 6 0 0 0 0 1 2 3 4 1 4 1 2 5 5 6 1 2 5 6 1 7 7 9 ⟶ 6 0 0 1 2 5 3 7 4 8 3 7 2 5 5 5 3 2 6 0 1 7 2 5 3 7 7 9 , 10 0 0 0 0 1 2 3 4 1 4 1 2 5 5 6 1 2 5 6 1 7 7 4 ⟶ 10 0 0 1 2 5 3 7 4 8 3 7 2 5 5 5 3 2 6 0 1 7 2 5 3 7 7 4 , 10 0 0 0 0 1 2 3 4 1 4 1 2 5 5 6 1 2 5 6 1 7 7 7 ⟶ 10 0 0 1 2 5 3 7 4 8 3 7 2 5 5 5 3 2 6 0 1 7 2 5 3 7 7 7 , 10 0 0 0 0 1 2 3 4 1 4 1 2 5 5 6 1 2 5 6 1 7 7 2 ⟶ 10 0 0 1 2 5 3 7 4 8 3 7 2 5 5 5 3 2 6 0 1 7 2 5 3 7 7 2 , 10 0 0 0 0 1 2 3 4 1 4 1 2 5 5 6 1 2 5 6 1 7 7 9 ⟶ 10 0 0 1 2 5 3 7 4 8 3 7 2 5 5 5 3 2 6 0 1 7 2 5 3 7 7 9 , 0 0 0 8 6 1 7 7 7 2 3 7 2 3 2 3 2 3 2 3 7 7 4 0 ⟶ 0 1 7 7 7 7 2 3 2 3 2 3 7 7 4 0 8 5 3 7 4 1 4 0 8 3 7 4 , 0 0 0 8 6 1 7 7 7 2 3 7 2 3 2 3 2 3 2 3 7 7 4 1 ⟶ 0 1 7 7 7 7 2 3 2 3 2 3 7 7 4 0 8 5 3 7 4 1 4 0 8 3 7 7 , 0 0 0 8 6 1 7 7 7 2 3 7 2 3 2 3 2 3 2 3 7 7 4 8 ⟶ 0 1 7 7 7 7 2 3 2 3 2 3 7 7 4 0 8 5 3 7 4 1 4 0 8 3 7 2 , 0 0 0 8 6 1 7 7 7 2 3 7 2 3 2 3 2 3 2 3 7 7 4 11 ⟶ 0 1 7 7 7 7 2 3 2 3 2 3 7 7 4 0 8 5 3 7 4 1 4 0 8 3 7 9 , 4 0 0 8 6 1 7 7 7 2 3 7 2 3 2 3 2 3 2 3 7 7 4 0 ⟶ 4 1 7 7 7 7 2 3 2 3 2 3 7 7 4 0 8 5 3 7 4 1 4 0 8 3 7 4 , 4 0 0 8 6 1 7 7 7 2 3 7 2 3 2 3 2 3 2 3 7 7 4 1 ⟶ 4 1 7 7 7 7 2 3 2 3 2 3 7 7 4 0 8 5 3 7 4 1 4 0 8 3 7 7 , 4 0 0 8 6 1 7 7 7 2 3 7 2 3 2 3 2 3 2 3 7 7 4 8 ⟶ 4 1 7 7 7 7 2 3 2 3 2 3 7 7 4 0 8 5 3 7 4 1 4 0 8 3 7 2 , 4 0 0 8 6 1 7 7 7 2 3 7 2 3 2 3 2 3 2 3 7 7 4 11 ⟶ 4 1 7 7 7 7 2 3 2 3 2 3 7 7 4 0 8 5 3 7 4 1 4 0 8 3 7 9 , 6 0 0 8 6 1 7 7 7 2 3 7 2 3 2 3 2 3 2 3 7 7 4 0 ⟶ 6 1 7 7 7 7 2 3 2 3 2 3 7 7 4 0 8 5 3 7 4 1 4 0 8 3 7 4 , 6 0 0 8 6 1 7 7 7 2 3 7 2 3 2 3 2 3 2 3 7 7 4 1 ⟶ 6 1 7 7 7 7 2 3 2 3 2 3 7 7 4 0 8 5 3 7 4 1 4 0 8 3 7 7 , 6 0 0 8 6 1 7 7 7 2 3 7 2 3 2 3 2 3 2 3 7 7 4 8 ⟶ 6 1 7 7 7 7 2 3 2 3 2 3 7 7 4 0 8 5 3 7 4 1 4 0 8 3 7 2 , 6 0 0 8 6 1 7 7 7 2 3 7 2 3 2 3 2 3 2 3 7 7 4 11 ⟶ 6 1 7 7 7 7 2 3 2 3 2 3 7 7 4 0 8 5 3 7 4 1 4 0 8 3 7 9 , 10 0 0 8 6 1 7 7 7 2 3 7 2 3 2 3 2 3 2 3 7 7 4 0 ⟶ 10 1 7 7 7 7 2 3 2 3 2 3 7 7 4 0 8 5 3 7 4 1 4 0 8 3 7 4 , 10 0 0 8 6 1 7 7 7 2 3 7 2 3 2 3 2 3 2 3 7 7 4 1 ⟶ 10 1 7 7 7 7 2 3 2 3 2 3 7 7 4 0 8 5 3 7 4 1 4 0 8 3 7 7 , 10 0 0 8 6 1 7 7 7 2 3 7 2 3 2 3 2 3 2 3 7 7 4 8 ⟶ 10 1 7 7 7 7 2 3 2 3 2 3 7 7 4 0 8 5 3 7 4 1 4 0 8 3 7 2 , 10 0 0 8 6 1 7 7 7 2 3 7 2 3 2 3 2 3 2 3 7 7 4 11 ⟶ 10 1 7 7 7 7 2 3 2 3 2 3 7 7 4 0 8 5 3 7 4 1 4 0 8 3 7 9 , 0 0 0 8 3 2 3 2 3 2 3 7 7 4 8 6 1 7 2 5 6 1 2 6 ⟶ 0 1 7 2 6 1 7 7 7 7 7 4 8 6 1 4 1 7 4 1 4 1 2 5 6 8 3 4 , 0 0 0 8 3 2 3 2 3 2 3 7 7 4 8 6 1 7 2 5 6 1 2 3 ⟶ 0 1 7 2 6 1 7 7 7 7 7 4 8 6 1 4 1 7 4 1 4 1 2 5 6 8 3 7 , 0 0 0 8 3 2 3 2 3 2 3 7 7 4 8 6 1 7 2 5 6 1 2 5 ⟶ 0 1 7 2 6 1 7 7 7 7 7 4 8 6 1 4 1 7 4 1 4 1 2 5 6 8 3 2 , 0 0 0 8 3 2 3 2 3 2 3 7 7 4 8 6 1 7 2 5 6 1 2 12 ⟶ 0 1 7 2 6 1 7 7 7 7 7 4 8 6 1 4 1 7 4 1 4 1 2 5 6 8 3 9 , 4 0 0 8 3 2 3 2 3 2 3 7 7 4 8 6 1 7 2 5 6 1 2 6 ⟶ 4 1 7 2 6 1 7 7 7 7 7 4 8 6 1 4 1 7 4 1 4 1 2 5 6 8 3 4 , 4 0 0 8 3 2 3 2 3 2 3 7 7 4 8 6 1 7 2 5 6 1 2 3 ⟶ 4 1 7 2 6 1 7 7 7 7 7 4 8 6 1 4 1 7 4 1 4 1 2 5 6 8 3 7 , 4 0 0 8 3 2 3 2 3 2 3 7 7 4 8 6 1 7 2 5 6 1 2 5 ⟶ 4 1 7 2 6 1 7 7 7 7 7 4 8 6 1 4 1 7 4 1 4 1 2 5 6 8 3 2 , 4 0 0 8 3 2 3 2 3 2 3 7 7 4 8 6 1 7 2 5 6 1 2 12 ⟶ 4 1 7 2 6 1 7 7 7 7 7 4 8 6 1 4 1 7 4 1 4 1 2 5 6 8 3 9 , 6 0 0 8 3 2 3 2 3 2 3 7 7 4 8 6 1 7 2 5 6 1 2 6 ⟶ 6 1 7 2 6 1 7 7 7 7 7 4 8 6 1 4 1 7 4 1 4 1 2 5 6 8 3 4 , 6 0 0 8 3 2 3 2 3 2 3 7 7 4 8 6 1 7 2 5 6 1 2 3 ⟶ 6 1 7 2 6 1 7 7 7 7 7 4 8 6 1 4 1 7 4 1 4 1 2 5 6 8 3 7 , 6 0 0 8 3 2 3 2 3 2 3 7 7 4 8 6 1 7 2 5 6 1 2 5 ⟶ 6 1 7 2 6 1 7 7 7 7 7 4 8 6 1 4 1 7 4 1 4 1 2 5 6 8 3 2 , 6 0 0 8 3 2 3 2 3 2 3 7 7 4 8 6 1 7 2 5 6 1 2 12 ⟶ 6 1 7 2 6 1 7 7 7 7 7 4 8 6 1 4 1 7 4 1 4 1 2 5 6 8 3 9 , 10 0 0 8 3 2 3 2 3 2 3 7 7 4 8 6 1 7 2 5 6 1 2 6 ⟶ 10 1 7 2 6 1 7 7 7 7 7 4 8 6 1 4 1 7 4 1 4 1 2 5 6 8 3 4 ,
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