details

property	value
status	complete
benchmark	132478.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n053.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	MnM 3.18b
configuration	default
runtime (wallclock)	4.4134850502 seconds
cpu usage	15.420102007
max memory	4.123500544E9

stage attributes

key	value
output-size	393610
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, 3 ↦ 2, 2 ↦ 3 }, it remains to prove termination of the 80-rule system { 0 0 0 0 0 1 1 1 2 2 2 3 3 1 3 2 0 1 ⟶ 0 3 2 1 0 0 1 1 0 0 1 2 0 3 3 2 1 2 , 0 0 0 3 3 1 0 0 2 3 0 2 1 3 1 3 0 2 ⟶ 0 0 3 1 1 0 2 1 3 0 0 0 3 3 2 0 3 2 , 0 0 1 3 2 2 3 1 3 0 0 2 3 0 1 2 3 1 ⟶ 3 3 2 1 0 3 3 0 2 0 2 0 2 3 1 1 0 1 , 0 1 0 0 3 0 0 2 2 1 3 1 1 1 2 0 1 0 ⟶ 0 1 3 3 2 1 0 1 0 2 1 2 0 1 1 0 0 0 , 0 1 0 1 1 3 1 2 2 1 2 2 1 2 0 1 0 0 ⟶ 0 0 1 1 2 1 0 1 1 2 0 2 1 2 1 2 3 0 , 0 1 0 1 1 3 2 2 2 2 0 0 2 2 0 0 1 3 ⟶ 1 0 1 0 2 3 0 0 2 1 2 1 2 0 0 2 2 3 , 0 1 1 0 1 3 1 2 3 1 0 0 1 0 3 3 3 1 ⟶ 0 0 3 3 0 1 1 0 0 1 1 2 1 3 3 3 1 1 , 0 1 3 0 3 2 3 0 1 1 0 2 3 2 2 3 1 2 ⟶ 0 0 3 0 3 2 3 2 1 2 1 2 3 3 0 1 1 2 , 0 1 3 3 3 1 0 3 1 2 0 3 0 0 0 1 3 2 ⟶ 0 1 3 0 3 0 1 1 0 3 0 3 3 0 2 1 3 2 , 0 3 0 0 0 3 0 3 0 3 0 2 0 3 2 3 0 0 ⟶ 0 3 3 2 0 0 0 0 0 3 3 2 3 3 0 0 0 0 , 0 3 0 1 3 3 1 2 0 1 3 2 1 0 1 2 2 2 ⟶ 0 1 1 3 2 1 0 0 3 2 1 3 1 2 0 2 3 2 , 0 3 0 3 2 0 1 2 0 0 0 3 0 2 0 2 2 2 ⟶ 0 0 0 0 1 3 2 0 2 0 0 0 3 3 2 2 2 2 , 0 3 1 0 1 0 3 0 3 3 3 2 0 1 1 0 2 0 ⟶ 0 0 0 1 0 2 1 1 0 3 3 3 3 3 2 1 0 0 , 0 3 3 3 1 0 2 3 0 0 1 3 0 1 3 2 2 2 ⟶ 0 0 3 3 3 1 2 3 0 3 2 1 0 2 1 0 3 2 , 0 2 3 0 2 3 0 3 0 0 0 0 1 0 2 2 3 0 ⟶ 0 3 0 0 3 0 3 0 2 1 2 0 2 2 0 3 0 0 , 0 2 3 1 0 1 1 0 1 3 2 2 3 1 1 2 3 1 ⟶ 1 3 1 2 1 1 2 1 3 2 0 3 3 1 0 2 0 1 , 0 2 3 1 2 0 1 0 1 0 0 1 3 0 1 2 1 1 ⟶ 0 3 0 1 0 2 1 2 1 1 1 0 3 0 2 1 1 0 , 0 2 3 3 1 3 0 0 2 2 0 1 0 3 1 0 0 1 ⟶ 0 2 1 1 3 0 1 3 2 3 3 0 0 0 0 1 2 0 , 0 2 2 2 1 0 1 0 2 1 3 0 1 3 0 3 0 0 ⟶ 0 2 0 0 0 0 2 1 0 1 2 2 1 0 3 3 3 1 , 1 1 1 2 3 1 3 0 2 0 0 3 2 3 1 1 3 1 ⟶ 1 1 3 0 3 2 3 3 1 1 1 0 2 2 1 3 0 1 , 1 1 2 3 0 2 3 2 1 3 2 1 1 1 0 2 3 0 ⟶ 1 1 3 3 0 2 1 2 1 3 1 0 3 2 2 1 2 0 , 1 3 0 1 3 3 1 2 2 3 0 1 2 2 3 1 1 0 ⟶ 1 3 0 1 2 1 2 3 2 0 2 3 1 0 1 1 3 3 , 1 3 0 1 2 3 3 1 1 0 2 3 2 3 0 3 0 1 ⟶ 1 3 1 2 1 1 3 3 3 0 0 3 3 0 2 2 1 0 , 1 3 1 3 2 2 0 3 2 0 2 2 3 1 3 0 0 2 ⟶ 1 2 2 0 2 3 3 3 0 0 1 3 0 1 2 3 2 2 , 1 3 2 0 1 2 2 2 1 0 0 2 3 1 3 1 1 1 ⟶ 1 3 2 1 3 2 1 1 2 2 1 0 1 3 2 1 0 0 , 1 3 2 0 3 0 0 0 1 3 0 3 1 1 3 1 1 3 ⟶ 1 0 3 3 0 1 0 0 0 3 1 1 1 1 2 3 3 3 , 1 3 2 0 2 2 2 2 0 3 1 3 0 2 3 2 1 2 ⟶ 0 0 2 3 3 2 2 2 1 2 1 3 0 2 3 2 1 2 , 1 2 3 1 2 1 0 3 1 3 1 1 1 0 3 1 2 3 ⟶ 1 2 1 3 3 1 1 1 2 0 3 1 3 2 1 1 0 3 , 1 2 2 0 1 1 0 3 3 1 1 0 2 2 3 1 2 1 ⟶ 1 2 3 2 1 1 1 0 3 2 2 3 2 0 0 1 1 1 , 3 0 0 1 2 3 1 1 3 0 2 0 3 1 0 3 1 2 ⟶ 0 0 0 1 1 2 1 3 3 2 1 3 3 0 0 1 3 2 , 3 0 0 2 2 3 0 0 0 3 1 1 2 3 2 3 1 1 ⟶ 3 2 0 2 1 0 0 2 3 3 2 3 1 1 0 0 3 1 , 3 0 1 3 0 3 2 3 1 0 2 3 0 3 1 3 1 2 ⟶ 3 3 3 1 0 3 3 0 2 1 2 0 1 3 3 0 2 1 , 3 0 3 2 0 1 0 0 0 1 3 3 1 0 1 3 3 0 ⟶ 3 3 3 3 3 0 0 0 0 1 0 1 1 3 0 0 2 1 , 3 0 2 2 2 0 0 1 2 2 1 1 1 3 3 2 1 2 ⟶ 0 3 3 3 2 2 1 1 1 2 1 2 1 0 0 2 2 2 , 3 1 0 0 3 1 2 2 3 3 2 0 2 2 2 2 3 0 ⟶ 2 1 2 1 2 3 3 0 2 2 3 2 0 2 3 3 0 0 , 3 1 0 1 0 2 3 1 0 3 0 2 3 0 3 2 1 0 ⟶ 3 0 1 0 2 1 3 3 0 2 1 2 1 3 0 3 0 0 , 3 1 1 0 2 3 0 3 2 0 0 2 3 2 3 3 3 1 ⟶ 0 2 3 2 1 1 2 3 3 3 2 0 1 3 3 3 0 0 , 3 1 1 2 2 3 3 0 2 0 1 0 0 0 1 2 1 0 ⟶ 2 0 2 1 0 3 3 0 1 2 0 1 1 1 0 3 2 0 , 3 1 3 0 0 3 0 3 3 0 3 2 2 0 1 3 3 1 ⟶ 2 1 3 3 3 0 0 3 0 1 0 3 3 3 0 3 2 1 , 3 1 3 0 0 2 0 0 2 3 1 0 2 0 0 3 1 0 ⟶ 3 1 0 0 0 3 3 2 0 0 2 0 3 1 0 2 1 0 , 3 1 3 1 2 0 1 0 1 2 2 0 1 3 2 2 3 1 ⟶ 2 0 2 3 1 3 0 3 2 1 1 3 2 1 2 0 1 1 , 3 1 3 1 2 2 3 3 3 1 1 2 3 2 3 0 3 0 ⟶ 3 3 3 2 3 1 0 2 1 1 3 2 3 1 0 2 3 3 , 3 1 3 3 1 0 1 2 2 3 3 1 1 1 2 2 3 0 ⟶ 3 3 3 2 1 1 1 1 2 1 2 3 0 3 1 3 2 0 , 3 1 3 3 1 1 1 2 2 0 3 0 0 0 0 2 2 3 ⟶ 3 2 1 2 3 1 0 3 3 2 0 2 0 1 1 0 0 3 , 3 1 2 3 1 3 1 2 2 2 3 0 3 3 3 3 3 0 ⟶ 2 3 2 1 3 0 2 1 2 3 3 0 1 3 3 3 3 3 , 3 3 0 1 1 2 2 2 3 1 2 1 3 2 3 2 2 2 ⟶ 3 0 2 3 2 1 3 2 2 3 1 2 1 2 1 3 2 2 , 3 3 0 1 2 2 3 0 3 2 3 1 2 3 1 1 2 2 ⟶ 3 2 1 0 2 0 2 3 3 3 2 2 3 3 1 1 1 2 , 3 3 0 2 0 1 1 1 3 1 0 2 2 0 0 3 0 1 ⟶ 3 3 1 0 1 0 0 0 0 2 1 3 2 0 2 1 3 1 , 3 3 3 2 2 2 2 2 3 0 3 2 1 3 1 1 0 2 ⟶ 3 3 3 2 0 2 2 1 3 3 1 1 3 2 2 0 2 2 , 3 2 1 1 0 3 0 3 0 2 3 0 0 1 3 1 3 3 ⟶ 3 3 3 0 0 0 2 1 0 2 3 3 1 1 1 0 3 3 , 3 2 1 1 3 1 3 2 3 0 2 2 2 0 1 0 3 1 ⟶ 3 2 1 2 0 1 0 3 3 2 3 2 1 3 1 1 2 0 , 3 2 2 3 1 3 2 3 3 3 1 0 2 3 3 1 3 0 ⟶ 3 3 2 0 3 1 2 3 3 3 0 2 1 3 3 3 2 1 , 3 2 2 2 3 0 3 2 1 1 3 1 3 1 2 3 2 3 ⟶ 3 3 1 3 2 2 1 2 1 3 2 0 2 3 3 1 2 3 , 2 0 0 0 0 2 2 0 1 1 0 1 2 2 2 0 1 2 ⟶ 2 2 0 1 2 1 0 0 0 2 1 1 0 2 2 0 0 2 , 2 0 0 3 1 2 1 3 0 1 2 2 1 1 1 1 1 0 ⟶ 2 1 1 1 1 0 2 1 3 2 1 0 0 0 1 1 2 3 , 2 0 3 2 0 2 2 3 3 2 0 2 1 3 1 1 3 1 ⟶ 2 1 3 3 3 2 2 1 2 1 0 1 3 2 0 3 2 0 , 2 0 2 3 3 0 0 0 3 0 2 3 0 2 2 2 2 0 ⟶ 2 3 0 0 0 2 0 0 2 3 3 2 0 3 2 2 2 0 , 2 0 2 2 0 1 2 3 3 0 2 0 2 2 0 0 0 0 ⟶ 2 0 2 0 2 1 0 0 2 0 2 3 2 3 2 0 0 0 , 2 1 1 0 1 1 0 0 1 3 3 0 2 3 1 3 0 0 ⟶ 2 1 0 0 3 1 2 0 1 3 3 3 0 1 0 1 0 1 , 2 1 1 1 2 3 2 3 0 2 2 0 2 2 3 3 0 3 ⟶ 2 1 0 2 0 3 2 2 2 1 2 3 3 1 2 0 3 3 , 2 3 0 0 0 1 1 3 0 0 2 2 1 3 3 1 3 1 ⟶ 3 3 3 3 0 1 3 0 0 2 2 0 1 1 1 1 2 0 , 2 3 0 1 1 1 1 2 1 2 2 2 0 2 0 3 1 2 ⟶ 2 3 2 2 1 1 0 1 2 1 0 2 0 1 3 2 1 2 , 2 3 0 1 2 0 2 3 2 2 1 2 3 1 0 1 1 2 ⟶ 3 2 1 2 0 2 1 0 1 0 2 2 3 3 2 1 1 2 , 2 3 0 1 2 3 2 0 0 1 2 2 2 3 1 2 3 1 ⟶ 2 2 1 1 3 0 2 2 1 0 0 3 2 2 1 3 2 3 , 2 3 0 2 2 0 3 2 0 0 1 3 1 0 1 1 3 0 ⟶ 2 3 0 0 0 3 0 1 2 0 3 2 1 3 0 2 1 1 , 2 3 1 3 0 1 2 2 1 2 1 3 1 2 2 0 3 1 ⟶ 2 1 3 2 3 3 2 1 1 3 2 0 0 2 1 1 2 1 , 2 3 1 3 1 3 3 1 2 2 1 3 3 0 2 3 3 0 ⟶ 3 0 2 1 3 3 2 3 3 3 1 1 3 3 2 1 2 0 , 2 3 1 2 1 1 1 1 2 2 0 3 0 1 0 3 2 2 ⟶ 2 1 1 3 1 2 1 0 0 3 2 1 2 3 2 0 1 2 , 2 3 3 1 0 3 2 3 0 3 1 3 1 0 3 0 2 0 ⟶ 3 0 0 2 0 2 0 1 1 1 0 3 3 3 3 3 2 3 , 2 3 3 1 0 2 2 1 0 0 1 2 3 0 3 2 1 3 ⟶ 2 2 0 2 1 2 3 2 0 1 1 1 3 3 3 0 0 3 , 2 3 2 0 3 0 0 2 2 3 1 2 3 0 2 3 1 1 ⟶ 2 0 3 0 2 3 3 2 2 0 1 1 3 3 2 1 0 2 , 2 2 0 1 1 3 1 1 3 2 0 3 1 2 0 0 0 2 ⟶ 2 2 0 1 0 3 2 1 3 2 0 0 1 1 1 3 0 2 , 2 2 0 1 1 3 3 1 0 2 2 3 2 1 2 2 3 2 ⟶ 2 3 2 1 0 0 2 1 3 2 2 2 1 1 2 3 3 2 , 2 2 1 3 1 3 0 3 0 0 1 1 1 0 2 2 1 0 ⟶ 2 2 1 1 0 3 3 3 1 1 2 0 0 0 2 1 1 0 , 2 2 3 1 0 1 3 2 3 0 3 1 3 0 0 1 0 0 ⟶ 2 2 0 0 1 1 3 0 2 1 3 0 0 3 3 3 1 0 , 2 2 3 1 0 2 1 2 2 2 2 2 2 3 0 2 1 2 ⟶ 2 2 2 1 2 2 3 2 1 0 2 2 3 2 0 2 1 2 , 2 2 3 3 1 3 1 0 1 1 3 0 1 0 1 3 1 1 ⟶ 2 3 3 1 0 1 3 1 1 3 0 1 1 0 3 2 1 1 , 2 2 3 2 2 0 2 3 1 2 0 1 3 0 3 2 2 2 ⟶ 2 2 3 2 2 0 2 3 1 1 3 2 0 3 0 2 2 2 , 2 2 2 0 2 0 3 0 0 0 1 3 2 0 2 2 3 0 ⟶ 2 0 2 0 0 0 2 3 3 2 2 3 2 0 0 0 2 1 , 2 2 2 1 0 0 3 0 1 0 2 0 3 1 2 0 1 3 ⟶ 2 0 2 0 0 1 2 2 1 2 1 3 0 1 3 0 0 3 } Applying sparse tiling TRFC(2) [Geser/Hofbauer/Waldmann, FSCD 2019]. After renaming modulo the bijection { (0,0) ↦ 0, (0,1) ↦ 1, (1,1) ↦ 2, (1,2) ↦ 3, (2,2) ↦ 4, (2,3) ↦ 5, (3,3) ↦ 6, (3,1) ↦ 7, (1,3) ↦ 8, (3,2) ↦ 9, (2,0) ↦ 10, (1,0) ↦ 11, (0,3) ↦ 12, (2,1) ↦ 13, (1,5) ↦ 14, (2,5) ↦ 15, (3,0) ↦ 16, (4,0) ↦ 17, (0,2) ↦ 18, (4,3) ↦ 19, (0,5) ↦ 20, (3,5) ↦ 21, (4,1) ↦ 22, (4,2) ↦ 23 }, it remains to prove termination of the 2000-rule system { 0 0 0 0 0 1 2 2 3 4 4 5 6 7 8 9 10 1 11 ⟶ 0 12 9 13 11 0 1 2 11 0 1 3 10 12 6 9 13 3 10 , 0 0 0 0 0 1 2 2 3 4 4 5 6 7 8 9 10 1 2 ⟶ 0 12 9 13 11 0 1 2 11 0 1 3 10 12 6 9 13 3 13 , 0 0 0 0 0 1 2 2 3 4 4 5 6 7 8 9 10 1 3 ⟶ 0 12 9 13 11 0 1 2 11 0 1 3 10 12 6 9 13 3 4 , 0 0 0 0 0 1 2 2 3 4 4 5 6 7 8 9 10 1 8 ⟶ 0 12 9 13 11 0 1 2 11 0 1 3 10 12 6 9 13 3 5 , 0 0 0 0 0 1 2 2 3 4 4 5 6 7 8 9 10 1 14 ⟶ 0 12 9 13 11 0 1 2 11 0 1 3 10 12 6 9 13 3 15 , popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to SRS Standard