SRS Standard pair #487510840

details
property	value
status	complete
benchmark	random-106.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n130.star.cs.uiowa.edu
space	Waldmann_19
run statistics
property	value
solver	matchbox-2020-06-25
configuration	tc20-std.sh
runtime (wallclock)	2.66685986519 seconds
cpu usage	10.25676176
max memory	2.34754048E8
stage attributes
key	value
output-size	55502
starexec-result	YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_tc20-std.sh /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES
**************************************************
summary
**************************************************
SRS with 3 rules on 2 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 24 rules on 7 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 128 rules on 21 letters       weights
SRS with 28 rules on 14 letters       unlabel
SRS with 7 rules on 5 letters       unlabel
SRS with 2 rules on 2 letters       mirror
SRS with 2 rules on 2 letters       DP
SRS with 4 strict rules and 2 weak rules on 4 letters       weights
SRS with 1 strict rules and 2 weak rules on 3 letters       EDG
SRS with 1 strict rules and 2 weak rules on 3 letters       Matrix   { monotone = Weak, domain = Arctic, shape = Full, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = False}
SRS with 0 strict rules and 2 weak rules on 2 letters       EDG

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [b, a, b, a] -> [b, a, b, b] {- Input 0 -}
  [b, b, b, b] -> [b, a, a, b] {- Input 1 -}
  [a, a, a, b] -> [b, a, b, a] {- Input 2 -}
reason
  Tiling   { method = Forward, width = 2, state_type = Bit64, map_type = Enum, unlabel = False, print_completion_steps = False, print_tiles = False, verbose = False, tracing = False}
  steps 0
  using 7 tiles
  tile all rules
  steps: 0
  
   property Termination
has value Just True
for SRS
  [[<, b], [b, a], [a, b], [b, a], [a, >]] -> [ [<, b] , [b, a] , [a, b] , [b, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Input 0)) -}
  [[<, b], [b, a], [a, b], [b, a], [a, b]] -> [ [<, b] , [b, a] , [a, b] , [b, b] , [ b , b ] ] {- Semlab 0 (Concon 1 (Input 0)) -}
  [[<, b], [b, a], [a, b], [b, a], [a, a]] -> [ [<, b] , [b, a] , [a, b] , [b, b] , [ b , a ] ] {- Semlab 0 (Concon 2 (Input 0)) -}
  [[b, b], [b, a], [a, b], [b, a], [a, >]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Input 0)) -}
  [[b, b], [b, a], [a, b], [b, a], [a, b]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [ b , b ] ] {- Semlab 1 (Concon 1 (Input 0)) -}
  [[b, b], [b, a], [a, b], [b, a], [a, a]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [ b , a ] ] {- Semlab 1 (Concon 2 (Input 0)) -}
  [[a, b], [b, a], [a, b], [b, a], [a, >]] -> [ [a, b] , [b, a] , [a, b] , [b, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 0)) -}
  [[a, b], [b, a], [a, b], [b, a], [a, b]] -> [ [a, b] , [b, a] , [a, b] , [b, b] , [ b , b ] ] {- Semlab 2 (Concon 1 (Input 0)) -}
  [[a, b], [b, a], [a, b], [b, a], [a, a]] -> [ [a, b] , [b, a] , [a, b] , [b, b] , [ b , a ] ] {- Semlab 2 (Concon 2 (Input 0)) -}
  [[<, b], [b, b], [b, b], [b, b], [b, >]] -> [ [<, b] , [b, a] , [a, a] , [a, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Input 1)) -}
  [[<, b], [b, b], [b, b], [b, b], [b, b]] -> [ [<, b] , [b, a] , [a, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 1 (Input 1)) -}
  [[<, b], [b, b], [b, b], [b, b], [b, a]] -> [ [<, b] , [b, a] , [a, a] , [a, b] , [ b , a ] ] {- Semlab 0 (Concon 2 (Input 1)) -}
  [[b, b], [b, b], [b, b], [b, b], [b, >]] -> [ [b, b] , [b, a] , [a, a] , [a, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Input 1)) -}
  [[b, b], [b, b], [b, b], [b, b], [b, b]] -> [ [b, b] , [b, a] , [a, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 1 (Input 1)) -}
  [[b, b], [b, b], [b, b], [b, b], [b, a]] -> [ [b, b] , [b, a] , [a, a] , [a, b] , [ b , a ] ] {- Semlab 1 (Concon 2 (Input 1)) -}
  [[a, b], [b, b], [b, b], [b, b], [b, >]] -> [ [a, b] , [b, a] , [a, a] , [a, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 1)) -}
  [[a, b], [b, b], [b, b], [b, b], [b, b]] -> [ [a, b] , [b, a] , [a, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 1 (Input 1)) -}
  [[a, b], [b, b], [b, b], [b, b], [b, a]] -> [ [a, b] , [b, a] , [a, a] , [a, b] , [ b , a ] ] {- Semlab 2 (Concon 2 (Input 1)) -}
  [[b, a], [a, a], [a, a], [a, b], [b, >]] -> [ [b, b] , [b, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Input 2)) -}
  [[b, a], [a, a], [a, a], [a, b], [b, b]] -> [ [b, b] , [b, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 0 (Concon 1 (Input 2)) -}
  [[b, a], [a, a], [a, a], [a, b], [b, a]] -> [ [b, b] , [b, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 0 (Concon 2 (Input 2)) -}
  [[a, a], [a, a], [a, a], [a, b], [b, >]] -> [ [a, b] , [b, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Input 2)) -}
  [[a, a], [a, a], [a, a], [a, b], [b, b]] -> [ [a, b] , [b, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 1 (Concon 1 (Input 2)) -}
  [[a, a], [a, a], [a, a], [a, b], [b, a]] -> [ [a, b] , [b, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 1 (Concon 2 (Input 2)) -}
reason
  Tiling   { method = Forward, width = 2, state_type = Bit64, map_type = Enum, unlabel = False, print_completion_steps = False, print_tiles = False, verbose = False, tracing = False}
  steps 1
  using 21 tiles
  tile all rules
  steps: 1
  
   property Termination
has value Just True
for SRS
  [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, >]] , [[a, >], >] ] -> [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 0 (Input 0)))) -}
  [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 1 (Input 0)))) -}
  [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 0 (Concon 1 (Input 0)))) -}
  [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 0 (Concon 1 (Input 0)))) -}
  [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 0 (Concon 3 (Semlab 0 (Concon 1 (Input 0)))) -}
  [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], >] ] -> [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 2 (Input 0)))) -}
  [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] ] -> [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 0 (Concon 1 (Semlab 0 (Concon 2 (Input 0)))) -}
  [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, >]] , [[a, >], >] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 0 (Input 0)))) -}
  [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, >]] , [[a, >], >] ] -> [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 0 (Input 0)))) -}
  [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, >]] , [[a, >], >] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 0 (Input 0)))) -}
  [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, >]] , [[a, >], >] ] -> [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 0 (Input 0)))) -}
  [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 1 (Input 0)))) -}
  [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 1 (Concon 1 (Input 0)))) -}
  [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 1 (Input 0)))) -}
  [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 0 (Concon 3 (Semlab 1 (Concon 1 (Input 0)))) -}
  [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 1 (Input 0)))) -}
  [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 1 (Concon 1 (Input 0)))) -}
  [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 1 (Input 0)))) -}
  [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 1 (Concon 3 (Semlab 1 (Concon 1 (Input 0)))) -}
  [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 1 (Input 0)))) -}
  [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 1 (Concon 1 (Input 0)))) -}
  [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 1 (Concon 1 (Input 0)))) -}
  [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 2 (Concon 3 (Semlab 1 (Concon 1 (Input 0)))) -}
  [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 1 (Input 0)))) -}
  [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 3 (Concon 1 (Semlab 1 (Concon 1 (Input 0)))) -}
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions all output return to SRS Standard