/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 5 rules on 4 letters       mirror
SRS with 5 rules on 4 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 72 rules on 17 letters       weights
SRS with 33 rules on 11 letters       unlabel
SRS with 3 rules on 3 letters       mirror
SRS with 3 rules on 3 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 24 rules on 10 letters       weights
SRS with 4 rules on 4 letters       unlabel
SRS with 1 rules on 2 letters       Matchbound   { method = RFC, max_size = Nothing, max_bound = Nothing, verbose = False, tracing = False} matchbound 1 certified by automaton with 10 states

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [a, b] -> [b, r] {- Input 0 -}
  [r, a] -> [d, r] {- Input 1 -}
  [r] -> [d] {- Input 2 -}
  [d, a] -> [a, a, d] {- Input 3 -}
  [d] -> [a] {- Input 4 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [b, a] -> [r, b] {- Mirror (Input 0) -}
  [a, r] -> [r, d] {- Mirror (Input 1) -}
  [r] -> [d] {- Mirror (Input 2) -}
  [a, d] -> [d, a, a] {- Mirror (Input 3) -}
  [d] -> [a] {- Mirror (Input 4) -}
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 18 tiles
  tile all rules
  steps: 1
  
   property Termination
has value Just True
for SRS
  [[<, a], [a, r], [r, a]] -> [ [<, r] , [r, d] , [ d , a ] ] {- Semlab 0 (Concon 0 (Mirror (Input 1))) -}
  [[<, a], [a, r], [r, b]] -> [ [<, r] , [r, d] , [ d , b ] ] {- Semlab 0 (Concon 1 (Mirror (Input 1))) -}
  [[<, a], [a, r], [r, r]] -> [ [<, r] , [r, d] , [ d , r ] ] {- Semlab 0 (Concon 2 (Mirror (Input 1))) -}
  [[<, a], [a, r], [r, d]] -> [ [<, r] , [r, d] , [ d , d ] ] {- Semlab 0 (Concon 3 (Mirror (Input 1))) -}
  [[a, a], [a, r], [r, a]] -> [ [a, r] , [r, d] , [ d , a ] ] {- Semlab 1 (Concon 0 (Mirror (Input 1))) -}
  [[a, a], [a, r], [r, b]] -> [ [a, r] , [r, d] , [ d , b ] ] {- Semlab 1 (Concon 1 (Mirror (Input 1))) -}
  [[a, a], [a, r], [r, r]] -> [ [a, r] , [r, d] , [ d , r ] ] {- Semlab 1 (Concon 2 (Mirror (Input 1))) -}
  [[a, a], [a, r], [r, d]] -> [ [a, r] , [r, d] , [ d , d ] ] {- Semlab 1 (Concon 3 (Mirror (Input 1))) -}
  [[r, a], [a, r], [r, a]] -> [ [r, r] , [r, d] , [ d , a ] ] {- Semlab 2 (Concon 0 (Mirror (Input 1))) -}
  [[r, a], [a, r], [r, b]] -> [ [r, r] , [r, d] , [ d , b ] ] {- Semlab 2 (Concon 1 (Mirror (Input 1))) -}
  [[r, a], [a, r], [r, r]] -> [ [r, r] , [r, d] , [ d , r ] ] {- Semlab 2 (Concon 2 (Mirror (Input 1))) -}
  [[r, a], [a, r], [r, d]] -> [ [r, r] , [r, d] , [ d , d ] ] {- Semlab 2 (Concon 3 (Mirror (Input 1))) -}
  [[d, a], [a, r], [r, a]] -> [ [d, r] , [r, d] , [ d , a ] ] {- Semlab 3 (Concon 0 (Mirror (Input 1))) -}
  [[d, a], [a, r], [r, b]] -> [ [d, r] , [r, d] , [ d , b ] ] {- Semlab 3 (Concon 1 (Mirror (Input 1))) -}
  [[d, a], [a, r], [r, r]] -> [ [d, r] , [r, d] , [ d , r ] ] {- Semlab 3 (Concon 2 (Mirror (Input 1))) -}
  [[d, a], [a, r], [r, d]] -> [ [d, r] , [r, d] , [ d , d ] ] {- Semlab 3 (Concon 3 (Mirror (Input 1))) -}
  [[<, r], [r, a]] -> [ [<, d] , [d, a] ] {- Semlab 0 (Concon 0 (Mirror (Input 2))) -}
  [[<, r], [r, b]] -> [ [<, d] , [d, b] ] {- Semlab 0 (Concon 1 (Mirror (Input 2))) -}
  [[<, r], [r, r]] -> [ [<, d] , [d, r] ] {- Semlab 0 (Concon 2 (Mirror (Input 2))) -}
  [[<, r], [r, d]] -> [ [<, d] , [d, d] ] {- Semlab 0 (Concon 3 (Mirror (Input 2))) -}
  [[a, r], [r, a]] -> [ [a, d] , [d, a] ] {- Semlab 1 (Concon 0 (Mirror (Input 2))) -}
  [[a, r], [r, b]] -> [ [a, d] , [d, b] ] {- Semlab 1 (Concon 1 (Mirror (Input 2))) -}
  [[a, r], [r, r]] -> [ [a, d] , [d, r] ] {- Semlab 1 (Concon 2 (Mirror (Input 2))) -}
  [[a, r], [r, d]] -> [ [a, d] , [d, d] ] {- Semlab 1 (Concon 3 (Mirror (Input 2))) -}
  [[r, r], [r, a]] -> [ [r, d] , [d, a] ] {- Semlab 2 (Concon 0 (Mirror (Input 2))) -}
  [[r, r], [r, b]] -> [ [r, d] , [d, b] ] {- Semlab 2 (Concon 1 (Mirror (Input 2))) -}
  [[r, r], [r, r]] -> [ [r, d] , [d, r] ] {- Semlab 2 (Concon 2 (Mirror (Input 2))) -}
  [[r, r], [r, d]] -> [ [r, d] , [d, d] ] {- Semlab 2 (Concon 3 (Mirror (Input 2))) -}
  [[d, r], [r, a]] -> [ [d, d] , [d, a] ] {- Semlab 3 (Concon 0 (Mirror (Input 2))) -}
  [[d, r], [r, b]] -> [ [d, d] , [d, b] ] {- Semlab 3 (Concon 1 (Mirror (Input 2))) -}
  [[d, r], [r, r]] -> [ [d, d] , [d, r] ] {- Semlab 3 (Concon 2 (Mirror (Input 2))) -}
  [[d, r], [r, d]] -> [ [d, d] , [d, d] ] {- Semlab 3 (Concon 3 (Mirror (Input 2))) -}
  [[<, a], [a, d], [d, >]] -> [ [<, d] , [d, a] , [a, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 3))) -}
  [[<, a], [a, d], [d, a]] -> [ [<, d] , [d, a] , [a, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 3))) -}
  [[<, a], [a, d], [d, b]] -> [ [<, d] , [d, a] , [a, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (Mirror (Input 3))) -}
  [[<, a], [a, d], [d, r]] -> [ [<, d] , [d, a] , [a, a] , [ a , r ] ] {- Semlab 0 (Concon 3 (Mirror (Input 3))) -}
  [[<, a], [a, d], [d, d]] -> [ [<, d] , [d, a] , [a, a] , [ a , d ] ] {- Semlab 0 (Concon 4 (Mirror (Input 3))) -}
  [[a, a], [a, d], [d, >]] -> [ [a, d] , [d, a] , [a, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 3))) -}
  [[a, a], [a, d], [d, a]] -> [ [a, d] , [d, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 3))) -}
  [[a, a], [a, d], [d, b]] -> [ [a, d] , [d, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (Mirror (Input 3))) -}
  [[a, a], [a, d], [d, r]] -> [ [a, d] , [d, a] , [a, a] , [ a , r ] ] {- Semlab 1 (Concon 3 (Mirror (Input 3))) -}
  [[a, a], [a, d], [d, d]] -> [ [a, d] , [d, a] , [a, a] , [ a , d ] ] {- Semlab 1 (Concon 4 (Mirror (Input 3))) -}
  [[r, a], [a, d], [d, >]] -> [ [r, d] , [d, a] , [a, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 3))) -}
  [[r, a], [a, d], [d, a]] -> [ [r, d] , [d, a] , [a, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Mirror (Input 3))) -}
  [[r, a], [a, d], [d, b]] -> [ [r, d] , [d, a] , [a, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (Mirror (Input 3))) -}
  [[r, a], [a, d], [d, r]] -> [ [r, d] , [d, a] , [a, a] , [ a , r ] ] {- Semlab 2 (Concon 3 (Mirror (Input 3))) -}
  [[r, a], [a, d], [d, d]] -> [ [r, d] , [d, a] , [a, a] , [ a , d ] ] {- Semlab 2 (Concon 4 (Mirror (Input 3))) -}
  [[d, a], [a, d], [d, >]] -> [ [d, d] , [d, a] , [a, a] , [ a , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 3))) -}
  [[d, a], [a, d], [d, a]] -> [ [d, d] , [d, a] , [a, a] , [ a , a ] ] {- Semlab 3 (Concon 1 (Mirror (Input 3))) -}
  [[d, a], [a, d], [d, b]] -> [ [d, d] , [d, a] , [a, a] , [ a , b ] ] {- Semlab 3 (Concon 2 (Mirror (Input 3))) -}
  [[d, a], [a, d], [d, r]] -> [ [d, d] , [d, a] , [a, a] , [ a , r ] ] {- Semlab 3 (Concon 3 (Mirror (Input 3))) -}
  [[d, a], [a, d], [d, d]] -> [ [d, d] , [d, a] , [a, a] , [ a , d ] ] {- Semlab 3 (Concon 4 (Mirror (Input 3))) -}
  [[<, d], [d, >]] -> [ [<, a] , [a, >] ] {- Semlab 0 (Concon 0 (Mirror (Input 4))) -}
  [[<, d], [d, a]] -> [ [<, a] , [a, a] ] {- Semlab 0 (Concon 1 (Mirror (Input 4))) -}
  [[<, d], [d, b]] -> [ [<, a] , [a, b] ] {- Semlab 0 (Concon 2 (Mirror (Input 4))) -}
  [[<, d], [d, r]] -> [ [<, a] , [a, r] ] {- Semlab 0 (Concon 3 (Mirror (Input 4))) -}
  [[<, d], [d, d]] -> [ [<, a] , [a, d] ] {- Semlab 0 (Concon 4 (Mirror (Input 4))) -}
  [[a, d], [d, >]] -> [ [a, a] , [a, >] ] {- Semlab 1 (Concon 0 (Mirror (Input 4))) -}
  [[a, d], [d, a]] -> [ [a, a] , [a, a] ] {- Semlab 1 (Concon 1 (Mirror (Input 4))) -}
  [[a, d], [d, b]] -> [ [a, a] , [a, b] ] {- Semlab 1 (Concon 2 (Mirror (Input 4))) -}
  [[a, d], [d, r]] -> [ [a, a] , [a, r] ] {- Semlab 1 (Concon 3 (Mirror (Input 4))) -}
  [[a, d], [d, d]] -> [ [a, a] , [a, d] ] {- Semlab 1 (Concon 4 (Mirror (Input 4))) -}
  [[r, d], [d, >]] -> [ [r, a] , [a, >] ] {- Semlab 2 (Concon 0 (Mirror (Input 4))) -}
  [[r, d], [d, a]] -> [ [r, a] , [a, a] ] {- Semlab 2 (Concon 1 (Mirror (Input 4))) -}
  [[r, d], [d, b]] -> [ [r, a] , [a, b] ] {- Semlab 2 (Concon 2 (Mirror (Input 4))) -}
  [[r, d], [d, r]] -> [ [r, a] , [a, r] ] {- Semlab 2 (Concon 3 (Mirror (Input 4))) -}
  [[r, d], [d, d]] -> [ [r, a] , [a, d] ] {- Semlab 2 (Concon 4 (Mirror (Input 4))) -}
  [[d, d], [d, >]] -> [ [d, a] , [a, >] ] {- Semlab 3 (Concon 0 (Mirror (Input 4))) -}
  [[d, d], [d, a]] -> [ [d, a] , [a, a] ] {- Semlab 3 (Concon 1 (Mirror (Input 4))) -}
  [[d, d], [d, b]] -> [ [d, a] , [a, b] ] {- Semlab 3 (Concon 2 (Mirror (Input 4))) -}
  [[d, d], [d, r]] -> [ [d, a] , [a, r] ] {- Semlab 3 (Concon 3 (Mirror (Input 4))) -}
  [[d, d], [d, d]] -> [ [d, a] , [a, d] ] {- Semlab 3 (Concon 4 (Mirror (Input 4))) -}
reason
  ([<, a], 1/3)
  ([r, a], 4/3)
  ([r, d], 4/3)
  ([r, b], 10/3)
  ([d, b], 1/1)
  ([r, r], 4/3)
  ([<, d], 1/3)
  ([d, >], 10/3)
   property Termination
has value Just True
for SRS
  [[a, a], [a, r], [r, a]] -> [ [a, r] , [r, d] , [ d , a ] ] {- Semlab 1 (Concon 0 (Mirror (Input 1))) -}
  [[a, a], [a, r], [r, r]] -> [ [a, r] , [r, d] , [ d , r ] ] {- Semlab 1 (Concon 2 (Mirror (Input 1))) -}
  [[a, a], [a, r], [r, d]] -> [ [a, r] , [r, d] , [ d , d ] ] {- Semlab 1 (Concon 3 (Mirror (Input 1))) -}
  [[r, a], [a, r], [r, a]] -> [ [r, r] , [r, d] , [ d , a ] ] {- Semlab 2 (Concon 0 (Mirror (Input 1))) -}
  [[r, a], [a, r], [r, r]] -> [ [r, r] , [r, d] , [ d , r ] ] {- Semlab 2 (Concon 2 (Mirror (Input 1))) -}
  [[r, a], [a, r], [r, d]] -> [ [r, r] , [r, d] , [ d , d ] ] {- Semlab 2 (Concon 3 (Mirror (Input 1))) -}
  [[d, a], [a, r], [r, a]] -> [ [d, r] , [r, d] , [ d , a ] ] {- Semlab 3 (Concon 0 (Mirror (Input 1))) -}
  [[d, a], [a, r], [r, r]] -> [ [d, r] , [r, d] , [ d , r ] ] {- Semlab 3 (Concon 2 (Mirror (Input 1))) -}
  [[d, a], [a, r], [r, d]] -> [ [d, r] , [r, d] , [ d , d ] ] {- Semlab 3 (Concon 3 (Mirror (Input 1))) -}
  [[<, a], [a, d], [d, a]] -> [ [<, d] , [d, a] , [a, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 3))) -}
  [[<, a], [a, d], [d, r]] -> [ [<, d] , [d, a] , [a, a] , [ a , r ] ] {- Semlab 0 (Concon 3 (Mirror (Input 3))) -}
  [[<, a], [a, d], [d, d]] -> [ [<, d] , [d, a] , [a, a] , [ a , d ] ] {- Semlab 0 (Concon 4 (Mirror (Input 3))) -}
  [[a, a], [a, d], [d, a]] -> [ [a, d] , [d, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 3))) -}
  [[a, a], [a, d], [d, r]] -> [ [a, d] , [d, a] , [a, a] , [ a , r ] ] {- Semlab 1 (Concon 3 (Mirror (Input 3))) -}
  [[a, a], [a, d], [d, d]] -> [ [a, d] , [d, a] , [a, a] , [ a , d ] ] {- Semlab 1 (Concon 4 (Mirror (Input 3))) -}
  [[r, a], [a, d], [d, a]] -> [ [r, d] , [d, a] , [a, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Mirror (Input 3))) -}
  [[r, a], [a, d], [d, r]] -> [ [r, d] , [d, a] , [a, a] , [ a , r ] ] {- Semlab 2 (Concon 3 (Mirror (Input 3))) -}
  [[r, a], [a, d], [d, d]] -> [ [r, d] , [d, a] , [a, a] , [ a , d ] ] {- Semlab 2 (Concon 4 (Mirror (Input 3))) -}
  [[d, a], [a, d], [d, a]] -> [ [d, d] , [d, a] , [a, a] , [ a , a ] ] {- Semlab 3 (Concon 1 (Mirror (Input 3))) -}
  [[d, a], [a, d], [d, r]] -> [ [d, d] , [d, a] , [a, a] , [ a , r ] ] {- Semlab 3 (Concon 3 (Mirror (Input 3))) -}
  [[d, a], [a, d], [d, d]] -> [ [d, d] , [d, a] , [a, a] , [ a , d ] ] {- Semlab 3 (Concon 4 (Mirror (Input 3))) -}
  [[<, d], [d, a]] -> [ [<, a] , [a, a] ] {- Semlab 0 (Concon 1 (Mirror (Input 4))) -}
  [[<, d], [d, r]] -> [ [<, a] , [a, r] ] {- Semlab 0 (Concon 3 (Mirror (Input 4))) -}
  [[<, d], [d, d]] -> [ [<, a] , [a, d] ] {- Semlab 0 (Concon 4 (Mirror (Input 4))) -}
  [[a, d], [d, a]] -> [ [a, a] , [a, a] ] {- Semlab 1 (Concon 1 (Mirror (Input 4))) -}
  [[a, d], [d, r]] -> [ [a, a] , [a, r] ] {- Semlab 1 (Concon 3 (Mirror (Input 4))) -}
  [[a, d], [d, d]] -> [ [a, a] , [a, d] ] {- Semlab 1 (Concon 4 (Mirror (Input 4))) -}
  [[r, d], [d, a]] -> [ [r, a] , [a, a] ] {- Semlab 2 (Concon 1 (Mirror (Input 4))) -}
  [[r, d], [d, r]] -> [ [r, a] , [a, r] ] {- Semlab 2 (Concon 3 (Mirror (Input 4))) -}
  [[r, d], [d, d]] -> [ [r, a] , [a, d] ] {- Semlab 2 (Concon 4 (Mirror (Input 4))) -}
  [[d, d], [d, a]] -> [ [d, a] , [a, a] ] {- Semlab 3 (Concon 1 (Mirror (Input 4))) -}
  [[d, d], [d, r]] -> [ [d, a] , [a, r] ] {- Semlab 3 (Concon 3 (Mirror (Input 4))) -}
  [[d, d], [d, d]] -> [ [d, a] , [a, d] ] {- Semlab 3 (Concon 4 (Mirror (Input 4))) -}
reason
  unlabel
   property Termination
has value Just True
for SRS
  [1, 2] -> [2, 3] {- Mirror (Input 1) -}
  [1, 3] -> [3, 1, 1] {- Mirror (Input 3) -}
  [3] -> [1] {- Mirror (Input 4) -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [2, 1] -> [3, 2] {- Input 1 -}
  [3, 1] -> [1, 1, 3] {- Input 3 -}
  [3] -> [1] {- Input 4 -}
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 2
  using 11 tiles
  tile all rules
  steps: 2
  
   property Termination
has value Just True
for SRS
  [[<, 3], [3, 1], [1, >]] -> [ [<, 1] , [1, 1] , [1, 3] , [3, >] ] {- Semlab 0 (Concon 0 (Input 3)) -}
  [[<, 3], [3, 1], [1, 1]] -> [ [<, 1] , [1, 1] , [1, 3] , [3, 1] ] {- Semlab 0 (Concon 1 (Input 3)) -}
  [[<, 3], [3, 1], [1, 2]] -> [ [<, 1] , [1, 1] , [1, 3] , [3, 2] ] {- Semlab 0 (Concon 2 (Input 3)) -}
  [[<, 3], [3, 1], [1, 3]] -> [ [<, 1] , [1, 1] , [1, 3] , [3, 3] ] {- Semlab 0 (Concon 3 (Input 3)) -}
  [[1, 3], [3, 1], [1, >]] -> [ [1, 1] , [1, 1] , [1, 3] , [3, >] ] {- Semlab 1 (Concon 0 (Input 3)) -}
  [[1, 3], [3, 1], [1, 1]] -> [ [1, 1] , [1, 1] , [1, 3] , [3, 1] ] {- Semlab 1 (Concon 1 (Input 3)) -}
  [[1, 3], [3, 1], [1, 2]] -> [ [1, 1] , [1, 1] , [1, 3] , [3, 2] ] {- Semlab 1 (Concon 2 (Input 3)) -}
  [[1, 3], [3, 1], [1, 3]] -> [ [1, 1] , [1, 1] , [1, 3] , [3, 3] ] {- Semlab 1 (Concon 3 (Input 3)) -}
  [[3, 3], [3, 1], [1, >]] -> [ [3, 1] , [1, 1] , [1, 3] , [3, >] ] {- Semlab 2 (Concon 0 (Input 3)) -}
  [[3, 3], [3, 1], [1, 1]] -> [ [3, 1] , [1, 1] , [1, 3] , [3, 1] ] {- Semlab 2 (Concon 1 (Input 3)) -}
  [[3, 3], [3, 1], [1, 2]] -> [ [3, 1] , [1, 1] , [1, 3] , [3, 2] ] {- Semlab 2 (Concon 2 (Input 3)) -}
  [[3, 3], [3, 1], [1, 3]] -> [ [3, 1] , [1, 1] , [1, 3] , [3, 3] ] {- Semlab 2 (Concon 3 (Input 3)) -}
  [[<, 3], [3, >]] -> [[<, 1], [1, >]] {- Semlab 0 (Concon 0 (Input 4)) -}
  [[<, 3], [3, 1]] -> [[<, 1], [1, 1]] {- Semlab 0 (Concon 1 (Input 4)) -}
  [[<, 3], [3, 2]] -> [[<, 1], [1, 2]] {- Semlab 0 (Concon 2 (Input 4)) -}
  [[<, 3], [3, 3]] -> [[<, 1], [1, 3]] {- Semlab 0 (Concon 3 (Input 4)) -}
  [[1, 3], [3, >]] -> [[1, 1], [1, >]] {- Semlab 1 (Concon 0 (Input 4)) -}
  [[1, 3], [3, 1]] -> [[1, 1], [1, 1]] {- Semlab 1 (Concon 1 (Input 4)) -}
  [[1, 3], [3, 2]] -> [[1, 1], [1, 2]] {- Semlab 1 (Concon 2 (Input 4)) -}
  [[1, 3], [3, 3]] -> [[1, 1], [1, 3]] {- Semlab 1 (Concon 3 (Input 4)) -}
  [[3, 3], [3, >]] -> [[3, 1], [1, >]] {- Semlab 2 (Concon 0 (Input 4)) -}
  [[3, 3], [3, 1]] -> [[3, 1], [1, 1]] {- Semlab 2 (Concon 1 (Input 4)) -}
  [[3, 3], [3, 2]] -> [[3, 1], [1, 2]] {- Semlab 2 (Concon 2 (Input 4)) -}
  [[3, 3], [3, 3]] -> [[3, 1], [1, 3]] {- Semlab 2 (Concon 3 (Input 4)) -}
reason
  ([<, 3], 1/1)
  ([3, 1], 3/1)
  ([3, >], 2/1)
  ([3, 2], 2/1)
  ([3, 3], 3/1)
   property Termination
has value Just True
for SRS
  [[1, 3], [3, 1], [1, 1]] -> [ [1, 1] , [1, 1] , [1, 3] , [3, 1] ] {- Semlab 1 (Concon 1 (Input 3)) -}
  [[1, 3], [3, 1], [1, 3]] -> [ [1, 1] , [1, 1] , [1, 3] , [3, 3] ] {- Semlab 1 (Concon 3 (Input 3)) -}
  [[3, 3], [3, 1], [1, 1]] -> [ [3, 1] , [1, 1] , [1, 3] , [3, 1] ] {- Semlab 2 (Concon 1 (Input 3)) -}
  [[3, 3], [3, 1], [1, 3]] -> [ [3, 1] , [1, 1] , [1, 3] , [3, 3] ] {- Semlab 2 (Concon 3 (Input 3)) -}
reason
  unlabel
   property Termination
has value Just True
for SRS
  [2, 1] -> [1, 1, 2] {- Input 3 -}
reason
  Matchbound
    Matchbound   { method = RFC, max_size = Nothing, max_bound = Nothing, verbose = False, tracing = False} matchbound 1 certified by automaton with 10 states

**************************************************
skeleton: \Mirror(5,4)\TileAllRFC{2}(72,17)\Weight(33,11)\Unlabel\Mirror(3,3)\TileAllRFC{2}(24,10)\Weight(4,4)\Unlabel(1,2)\Rfcmatchbound{1}[]
**************************************************
let {}
in let {trac = False;done = Worker No_Strict_Rules;mo = Pre (Or_Else Count (IfSizeLeq 10000 GLPK Fail));wop = Or_Else (Worker (Weight {modus = mo})) Pass;weighted = \ m -> And_Then m wop;tiling = \ m w -> weighted (And_Then (Worker (Tiling {method = m,width = w,unlabel = False})) (Worker Remap));when_small = \ m -> And_Then (Worker (SizeAtmost 1000)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;solver = Minisatapi;qpi = \ dim bits -> weighted (when_small (Worker (QPI {tracing = trac,dim = dim,bits = bits,solver = solver})));matrix = \ dom dim bits -> weighted (when_small (Worker (Matrix {monotone = Weak,domain = dom,dim = dim,bits = bits,tracing = trac,solver = solver})));kbo = \ b -> weighted (when_small (Worker (KBO {bits = b,solver = solver})));mb = Worker (Matchbound {method = RFC,max_size = 100000});remove = First_Of ([ Worker (Weight {modus = mo})] <> ([ Seq [ qpi 2 4, qpi 3 4, qpi 4 4], Seq [ qpi 5 4, qpi 6 3, qpi 7 3]] <> ([ Seq [ matrix Arctic 2 5, matrix Arctic 3 4, matrix Arctic 4 3], Seq [ matrix Natural 2 5, matrix Natural 3 4, matrix Natural 4 3]] <> [ kbo 1, And_Then (Worker Mirror) (And_Then (kbo 1) (Worker Mirror))])));dp = As_Transformer (Apply (And_Then (Worker (DP {tracing = True})) (Worker Remap)) (Apply wop (Branch (Worker (EDG {tracing = True})) remove)));noh = [ Worker (Enumerate {closure = Forward}), Worker (Enumerate {closure = Backward})];yeah = Tree_Search_Preemptive 0 done ([ Worker (Weight {modus = mo}), mb, And_Then (Worker Mirror) mb, dp, And_Then (Worker Mirror) dp, tiling Forward 2, And_Then (Worker Mirror) (tiling Forward 2)] <> [ Worker (Unlabel {verbose = True})])}
  in Apply (Worker Remap) (Seq [ Worker KKST01, First_Of ([ yeah] <> noh)])