/export/starexec/sandbox2/solver/bin/starexec_run_tc20-std.sh /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES
**************************************************
summary
**************************************************
SRS with 10 rules on 8 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 146 rules on 38 letters       weights
SRS with 76 rules on 24 letters       unlabel
SRS with 8 rules on 7 letters       mirror
SRS with 8 rules on 7 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 66 rules on 25 letters       weights
SRS with 28 rules on 19 letters       unlabel
SRS with 6 rules on 6 letters       Matchbound   { method = RFC, max_size = Nothing, max_bound = Nothing, verbose = False, tracing = False} matchbound 3 certified by automaton with 49 states

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [p, 0] -> [0, s, s, p] {- Input 0 -}
  [p, s] -> [] {- Input 1 -}
  [p, p, s] -> [p] {- Input 2 -}
  [f, s] -> [g, s] {- Input 3 -}
  [g] -> [i, s, half] {- Input 4 -}
  [i] -> [f, p] {- Input 5 -}
  [half, 0] -> [0, s, s, half] {- Input 6 -}
  [half, s, s] -> [s, half, p, p, s, s] {- Input 7 -}
  [0] -> [] {- Input 8 -}
  [rd, 0] -> [0, 0, 0, 0, 0, 0, rd] {- Input 9 -}
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 39 tiles
  tile all rules
  steps: 2
  
   property Termination
has value Just True
for SRS
  [[<, p], [p, 0], [0, 0]] -> [ [<, 0] , [0, s] , [s, s] , [s, p] , [p, 0] ] {- Semlab 0 (Concon 0 (Input 0)) -}
  [[<, p], [p, 0], [0, s]] -> [ [<, 0] , [0, s] , [s, s] , [s, p] , [p, s] ] {- Semlab 0 (Concon 1 (Input 0)) -}
  [[<, p], [p, 0], [0, rd]] -> [ [<, 0] , [0, s] , [s, s] , [s, p] , [p, rd] ] {- Semlab 0 (Concon 2 (Input 0)) -}
  [[p, p], [p, 0], [0, 0]] -> [ [p, 0] , [0, s] , [s, s] , [s, p] , [p, 0] ] {- Semlab 1 (Concon 0 (Input 0)) -}
  [[p, p], [p, 0], [0, s]] -> [ [p, 0] , [0, s] , [s, s] , [s, p] , [p, s] ] {- Semlab 1 (Concon 1 (Input 0)) -}
  [[p, p], [p, 0], [0, rd]] -> [ [p, 0] , [0, s] , [s, s] , [s, p] , [p, rd] ] {- Semlab 1 (Concon 2 (Input 0)) -}
  [[s, p], [p, 0], [0, 0]] -> [ [s, 0] , [0, s] , [s, s] , [s, p] , [p, 0] ] {- Semlab 2 (Concon 0 (Input 0)) -}
  [[s, p], [p, 0], [0, s]] -> [ [s, 0] , [0, s] , [s, s] , [s, p] , [p, s] ] {- Semlab 2 (Concon 1 (Input 0)) -}
  [[s, p], [p, 0], [0, rd]] -> [ [s, 0] , [0, s] , [s, s] , [s, p] , [p, rd] ] {- Semlab 2 (Concon 2 (Input 0)) -}
  [[f, p], [p, 0], [0, 0]] -> [ [f, 0] , [0, s] , [s, s] , [s, p] , [p, 0] ] {- Semlab 3 (Concon 0 (Input 0)) -}
  [[f, p], [p, 0], [0, s]] -> [ [f, 0] , [0, s] , [s, s] , [s, p] , [p, s] ] {- Semlab 3 (Concon 1 (Input 0)) -}
  [[f, p], [p, 0], [0, rd]] -> [ [f, 0] , [0, s] , [s, s] , [s, p] , [p, rd] ] {- Semlab 3 (Concon 2 (Input 0)) -}
  [[half, p], [p, 0], [0, 0]] -> [ [half, 0] , [0, s] , [s, s] , [s, p] , [p, 0] ] {- Semlab 4 (Concon 0 (Input 0)) -}
  [[half, p], [p, 0], [0, s]] -> [ [half, 0] , [0, s] , [s, s] , [s, p] , [p, s] ] {- Semlab 4 (Concon 1 (Input 0)) -}
  [[half, p], [p, 0], [0, rd]] -> [ [half, 0] , [0, s] , [s, s] , [s, p] , [p, rd] ] {- Semlab 4 (Concon 2 (Input 0)) -}
  [[<, p], [p, s], [s, >]] -> [[<, >]] {- Semlab 0 (Concon 0 (Input 1)) -}
  [[<, p], [p, s], [s, p]] -> [[<, p]] {- Semlab 0 (Concon 1 (Input 1)) -}
  [[<, p], [p, s], [s, 0]] -> [[<, 0]] {- Semlab 0 (Concon 2 (Input 1)) -}
  [[<, p], [p, s], [s, s]] -> [[<, s]] {- Semlab 0 (Concon 3 (Input 1)) -}
  [[<, p], [p, s], [s, half]] -> [[<, half]] {- Semlab 0 (Concon 4 (Input 1)) -}
  [[<, p], [p, s], [s, rd]] -> [[<, rd]] {- Semlab 0 (Concon 5 (Input 1)) -}
  [[p, p], [p, s], [s, >]] -> [[p, >]] {- Semlab 1 (Concon 0 (Input 1)) -}
  [[p, p], [p, s], [s, p]] -> [[p, p]] {- Semlab 1 (Concon 1 (Input 1)) -}
  [[p, p], [p, s], [s, 0]] -> [[p, 0]] {- Semlab 1 (Concon 2 (Input 1)) -}
  [[p, p], [p, s], [s, s]] -> [[p, s]] {- Semlab 1 (Concon 3 (Input 1)) -}
  [[p, p], [p, s], [s, half]] -> [[p, half]] {- Semlab 1 (Concon 4 (Input 1)) -}
  [[p, p], [p, s], [s, rd]] -> [[p, rd]] {- Semlab 1 (Concon 5 (Input 1)) -}
  [[s, p], [p, s], [s, >]] -> [[s, >]] {- Semlab 2 (Concon 0 (Input 1)) -}
  [[s, p], [p, s], [s, p]] -> [[s, p]] {- Semlab 2 (Concon 1 (Input 1)) -}
  [[s, p], [p, s], [s, 0]] -> [[s, 0]] {- Semlab 2 (Concon 2 (Input 1)) -}
  [[s, p], [p, s], [s, s]] -> [[s, s]] {- Semlab 2 (Concon 3 (Input 1)) -}
  [[s, p], [p, s], [s, half]] -> [[s, half]] {- Semlab 2 (Concon 4 (Input 1)) -}
  [[s, p], [p, s], [s, rd]] -> [[s, rd]] {- Semlab 2 (Concon 5 (Input 1)) -}
  [[f, p], [p, s], [s, >]] -> [[f, >]] {- Semlab 3 (Concon 0 (Input 1)) -}
  [[f, p], [p, s], [s, p]] -> [[f, p]] {- Semlab 3 (Concon 1 (Input 1)) -}
  [[f, p], [p, s], [s, 0]] -> [[f, 0]] {- Semlab 3 (Concon 2 (Input 1)) -}
  [[f, p], [p, s], [s, s]] -> [[f, s]] {- Semlab 3 (Concon 3 (Input 1)) -}
  [[f, p], [p, s], [s, half]] -> [[f, half]] {- Semlab 3 (Concon 4 (Input 1)) -}
  [[f, p], [p, s], [s, rd]] -> [[f, rd]] {- Semlab 3 (Concon 5 (Input 1)) -}
  [[half, p], [p, s], [s, >]] -> [[half, >]] {- Semlab 4 (Concon 0 (Input 1)) -}
  [[half, p], [p, s], [s, p]] -> [[half, p]] {- Semlab 4 (Concon 1 (Input 1)) -}
  [[half, p], [p, s], [s, 0]] -> [[half, 0]] {- Semlab 4 (Concon 2 (Input 1)) -}
  [[half, p], [p, s], [s, s]] -> [[half, s]] {- Semlab 4 (Concon 3 (Input 1)) -}
  [[half, p], [p, s], [s, half]] -> [ [ half , half ] ] {- Semlab 4 (Concon 4 (Input 1)) -}
  [[half, p], [p, s], [s, rd]] -> [[half, rd]] {- Semlab 4 (Concon 5 (Input 1)) -}
  [[<, p], [p, p], [p, s], [s, >]] -> [ [<, p] , [ p , > ] ] {- Semlab 0 (Concon 0 (Input 2)) -}
  [[<, p], [p, p], [p, s], [s, p]] -> [ [<, p] , [ p , p ] ] {- Semlab 0 (Concon 1 (Input 2)) -}
  [[<, p], [p, p], [p, s], [s, 0]] -> [ [<, p] , [ p , 0 ] ] {- Semlab 0 (Concon 2 (Input 2)) -}
  [[<, p], [p, p], [p, s], [s, s]] -> [ [<, p] , [ p , s ] ] {- Semlab 0 (Concon 3 (Input 2)) -}
  [[<, p], [p, p], [p, s], [s, half]] -> [ [<, p] , [ p , half ] ] {- Semlab 0 (Concon 4 (Input 2)) -}
  [[<, p], [p, p], [p, s], [s, rd]] -> [ [<, p] , [ p , rd ] ] {- Semlab 0 (Concon 5 (Input 2)) -}
  [[p, p], [p, p], [p, s], [s, >]] -> [ [p, p] , [ p , > ] ] {- Semlab 1 (Concon 0 (Input 2)) -}
  [[p, p], [p, p], [p, s], [s, p]] -> [ [p, p] , [ p , p ] ] {- Semlab 1 (Concon 1 (Input 2)) -}
  [[p, p], [p, p], [p, s], [s, 0]] -> [ [p, p] , [ p , 0 ] ] {- Semlab 1 (Concon 2 (Input 2)) -}
  [[p, p], [p, p], [p, s], [s, s]] -> [ [p, p] , [ p , s ] ] {- Semlab 1 (Concon 3 (Input 2)) -}
  [[p, p], [p, p], [p, s], [s, half]] -> [ [p, p] , [ p , half ] ] {- Semlab 1 (Concon 4 (Input 2)) -}
  [[p, p], [p, p], [p, s], [s, rd]] -> [ [p, p] , [ p , rd ] ] {- Semlab 1 (Concon 5 (Input 2)) -}
  [[s, p], [p, p], [p, s], [s, >]] -> [ [s, p] , [ p , > ] ] {- Semlab 2 (Concon 0 (Input 2)) -}
  [[s, p], [p, p], [p, s], [s, p]] -> [ [s, p] , [ p , p ] ] {- Semlab 2 (Concon 1 (Input 2)) -}
  [[s, p], [p, p], [p, s], [s, 0]] -> [ [s, p] , [ p , 0 ] ] {- Semlab 2 (Concon 2 (Input 2)) -}
  [[s, p], [p, p], [p, s], [s, s]] -> [ [s, p] , [ p , s ] ] {- Semlab 2 (Concon 3 (Input 2)) -}
  [[s, p], [p, p], [p, s], [s, half]] -> [ [s, p] , [ p , half ] ] {- Semlab 2 (Concon 4 (Input 2)) -}
  [[s, p], [p, p], [p, s], [s, rd]] -> [ [s, p] , [ p , rd ] ] {- Semlab 2 (Concon 5 (Input 2)) -}
  [[f, p], [p, p], [p, s], [s, >]] -> [ [f, p] , [ p , > ] ] {- Semlab 3 (Concon 0 (Input 2)) -}
  [[f, p], [p, p], [p, s], [s, p]] -> [ [f, p] , [ p , p ] ] {- Semlab 3 (Concon 1 (Input 2)) -}
  [[f, p], [p, p], [p, s], [s, 0]] -> [ [f, p] , [ p , 0 ] ] {- Semlab 3 (Concon 2 (Input 2)) -}
  [[f, p], [p, p], [p, s], [s, s]] -> [ [f, p] , [ p , s ] ] {- Semlab 3 (Concon 3 (Input 2)) -}
  [[f, p], [p, p], [p, s], [s, half]] -> [ [f, p] , [ p , half ] ] {- Semlab 3 (Concon 4 (Input 2)) -}
  [[f, p], [p, p], [p, s], [s, rd]] -> [ [f, p] , [ p , rd ] ] {- Semlab 3 (Concon 5 (Input 2)) -}
  [[half, p], [p, p], [p, s], [s, >]] -> [ [half, p] , [ p , > ] ] {- Semlab 4 (Concon 0 (Input 2)) -}
  [[half, p], [p, p], [p, s], [s, p]] -> [ [half, p] , [ p , p ] ] {- Semlab 4 (Concon 1 (Input 2)) -}
  [[half, p], [p, p], [p, s], [s, 0]] -> [ [half, p] , [ p , 0 ] ] {- Semlab 4 (Concon 2 (Input 2)) -}
  [[half, p], [p, p], [p, s], [s, s]] -> [ [half, p] , [ p , s ] ] {- Semlab 4 (Concon 3 (Input 2)) -}
  [[half, p], [p, p], [p, s], [s, half]] -> [ [half, p] , [ p , half ] ] {- Semlab 4 (Concon 4 (Input 2)) -}
  [[half, p], [p, p], [p, s], [s, rd]] -> [ [half, p] , [ p , rd ] ] {- Semlab 4 (Concon 5 (Input 2)) -}
  [[<, f], [f, s], [s, >]] -> [ [<, g] , [g, s] , [s, >] ] {- Semlab 0 (Concon 0 (Input 3)) -}
  [[<, f], [f, s], [s, p]] -> [ [<, g] , [g, s] , [s, p] ] {- Semlab 0 (Concon 1 (Input 3)) -}
  [[<, f], [f, s], [s, 0]] -> [ [<, g] , [g, s] , [s, 0] ] {- Semlab 0 (Concon 2 (Input 3)) -}
  [[<, f], [f, s], [s, s]] -> [ [<, g] , [g, s] , [s, s] ] {- Semlab 0 (Concon 3 (Input 3)) -}
  [[<, f], [f, s], [s, half]] -> [ [<, g] , [g, s] , [s, half] ] {- Semlab 0 (Concon 4 (Input 3)) -}
  [[<, f], [f, s], [s, rd]] -> [ [<, g] , [g, s] , [s, rd] ] {- Semlab 0 (Concon 5 (Input 3)) -}
  [[<, g], [g, s]] -> [ [<, i] , [i, s] , [s, half] , [half, s] ] {- Semlab 0 (Concon 0 (Input 4)) -}
  [[<, i], [i, s]] -> [[<, f], [f, p], [p, s]] {- Semlab 0 (Concon 0 (Input 5)) -}
  [[<, half], [half, 0], [0, 0]] -> [ [<, 0] , [0, s] , [s, s] , [s, half] , [ half , 0 ] ] {- Semlab 0 (Concon 0 (Input 6)) -}
  [[<, half], [half, 0], [0, s]] -> [ [<, 0] , [0, s] , [s, s] , [s, half] , [ half , s ] ] {- Semlab 0 (Concon 1 (Input 6)) -}
  [[<, half], [half, 0], [0, rd]] -> [ [<, 0] , [0, s] , [s, s] , [s, half] , [ half , rd ] ] {- Semlab 0 (Concon 2 (Input 6)) -}
  [[p, half], [half, 0], [0, 0]] -> [ [p, 0] , [0, s] , [s, s] , [s, half] , [ half , 0 ] ] {- Semlab 1 (Concon 0 (Input 6)) -}
  [[p, half], [half, 0], [0, s]] -> [ [p, 0] , [0, s] , [s, s] , [s, half] , [ half , s ] ] {- Semlab 1 (Concon 1 (Input 6)) -}
  [[p, half], [half, 0], [0, rd]] -> [ [p, 0] , [0, s] , [s, s] , [s, half] , [ half , rd ] ] {- Semlab 1 (Concon 2 (Input 6)) -}
  [[s, half], [half, 0], [0, 0]] -> [ [s, 0] , [0, s] , [s, s] , [s, half] , [ half , 0 ] ] {- Semlab 2 (Concon 0 (Input 6)) -}
  [[s, half], [half, 0], [0, s]] -> [ [s, 0] , [0, s] , [s, s] , [s, half] , [ half , s ] ] {- Semlab 2 (Concon 1 (Input 6)) -}
  [[s, half], [half, 0], [0, rd]] -> [ [s, 0] , [0, s] , [s, s] , [s, half] , [ half , rd ] ] {- Semlab 2 (Concon 2 (Input 6)) -}
  [[f, half], [half, 0], [0, 0]] -> [ [f, 0] , [0, s] , [s, s] , [s, half] , [ half , 0 ] ] {- Semlab 3 (Concon 0 (Input 6)) -}
  [[f, half], [half, 0], [0, s]] -> [ [f, 0] , [0, s] , [s, s] , [s, half] , [ half , s ] ] {- Semlab 3 (Concon 1 (Input 6)) -}
  [[f, half], [half, 0], [0, rd]] -> [ [f, 0] , [0, s] , [s, s] , [s, half] , [ half , rd ] ] {- Semlab 3 (Concon 2 (Input 6)) -}
  [[half, half], [half, 0], [0, 0]] -> [ [half, 0] , [0, s] , [s, s] , [s, half] , [ half , 0 ] ] {- Semlab 4 (Concon 0 (Input 6)) -}
  [[half, half], [half, 0], [0, s]] -> [ [half, 0] , [0, s] , [s, s] , [s, half] , [ half , s ] ] {- Semlab 4 (Concon 1 (Input 6)) -}
  [[half, half], [half, 0], [0, rd]] -> [ [half, 0] , [0, s] , [s, s] , [s, half] , [ half , rd ] ] {- Semlab 4 (Concon 2 (Input 6)) -}
  [[<, half], [half, s], [s, s], [s, >]] -> [ [<, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , > ] ] {- Semlab 0 (Concon 0 (Input 7)) -}
  [[<, half], [half, s], [s, s], [s, p]] -> [ [<, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , p ] ] {- Semlab 0 (Concon 1 (Input 7)) -}
  [[<, half], [half, s], [s, s], [s, 0]] -> [ [<, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , 0 ] ] {- Semlab 0 (Concon 2 (Input 7)) -}
  [[<, half], [half, s], [s, s], [s, s]] -> [ [<, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , s ] ] {- Semlab 0 (Concon 3 (Input 7)) -}
  [[<, half], [half, s], [s, s], [s, half]] -> [ [<, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , half ] ] {- Semlab 0 (Concon 4 (Input 7)) -}
  [[<, half], [half, s], [s, s], [s, rd]] -> [ [<, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , rd ] ] {- Semlab 0 (Concon 5 (Input 7)) -}
  [[p, half], [half, s], [s, s], [s, >]] -> [ [p, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , > ] ] {- Semlab 1 (Concon 0 (Input 7)) -}
  [[p, half], [half, s], [s, s], [s, p]] -> [ [p, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , p ] ] {- Semlab 1 (Concon 1 (Input 7)) -}
  [[p, half], [half, s], [s, s], [s, 0]] -> [ [p, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , 0 ] ] {- Semlab 1 (Concon 2 (Input 7)) -}
  [[p, half], [half, s], [s, s], [s, s]] -> [ [p, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , s ] ] {- Semlab 1 (Concon 3 (Input 7)) -}
  [[p, half], [half, s], [s, s], [s, half]] -> [ [p, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , half ] ] {- Semlab 1 (Concon 4 (Input 7)) -}
  [[p, half], [half, s], [s, s], [s, rd]] -> [ [p, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , rd ] ] {- Semlab 1 (Concon 5 (Input 7)) -}
  [[s, half], [half, s], [s, s], [s, >]] -> [ [s, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , > ] ] {- Semlab 2 (Concon 0 (Input 7)) -}
  [[s, half], [half, s], [s, s], [s, p]] -> [ [s, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , p ] ] {- Semlab 2 (Concon 1 (Input 7)) -}
  [[s, half], [half, s], [s, s], [s, 0]] -> [ [s, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , 0 ] ] {- Semlab 2 (Concon 2 (Input 7)) -}
  [[s, half], [half, s], [s, s], [s, s]] -> [ [s, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , s ] ] {- Semlab 2 (Concon 3 (Input 7)) -}
  [[s, half], [half, s], [s, s], [s, half]] -> [ [s, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , half ] ] {- Semlab 2 (Concon 4 (Input 7)) -}
  [[s, half], [half, s], [s, s], [s, rd]] -> [ [s, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , rd ] ] {- Semlab 2 (Concon 5 (Input 7)) -}
  [[f, half], [half, s], [s, s], [s, >]] -> [ [f, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , > ] ] {- Semlab 3 (Concon 0 (Input 7)) -}
  [[f, half], [half, s], [s, s], [s, p]] -> [ [f, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , p ] ] {- Semlab 3 (Concon 1 (Input 7)) -}
  [[f, half], [half, s], [s, s], [s, 0]] -> [ [f, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , 0 ] ] {- Semlab 3 (Concon 2 (Input 7)) -}
  [[f, half], [half, s], [s, s], [s, s]] -> [ [f, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , s ] ] {- Semlab 3 (Concon 3 (Input 7)) -}
  [[f, half], [half, s], [s, s], [s, half]] -> [ [f, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , half ] ] {- Semlab 3 (Concon 4 (Input 7)) -}
  [[f, half], [half, s], [s, s], [s, rd]] -> [ [f, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , rd ] ] {- Semlab 3 (Concon 5 (Input 7)) -}
  [[half, half], [half, s], [s, s], [s, >]] -> [ [half, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , > ] ] {- Semlab 4 (Concon 0 (Input 7)) -}
  [[half, half], [half, s], [s, s], [s, p]] -> [ [half, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , p ] ] {- Semlab 4 (Concon 1 (Input 7)) -}
  [[half, half], [half, s], [s, s], [s, 0]] -> [ [half, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , 0 ] ] {- Semlab 4 (Concon 2 (Input 7)) -}
  [[half, half], [half, s], [s, s], [s, s]] -> [ [half, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , s ] ] {- Semlab 4 (Concon 3 (Input 7)) -}
  [[half, half], [half, s], [s, s], [s, half]] -> [ [half, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , half ] ] {- Semlab 4 (Concon 4 (Input 7)) -}
  [[half, half], [half, s], [s, s], [s, rd]] -> [ [half, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , rd ] ] {- Semlab 4 (Concon 5 (Input 7)) -}
  [[<, 0], [0, 0]] -> [[<, 0]] {- Semlab 0 (Concon 0 (Input 8)) -}
  [[<, 0], [0, s]] -> [[<, s]] {- Semlab 0 (Concon 1 (Input 8)) -}
  [[<, 0], [0, rd]] -> [[<, rd]] {- Semlab 0 (Concon 2 (Input 8)) -}
  [[p, 0], [0, 0]] -> [[p, 0]] {- Semlab 1 (Concon 0 (Input 8)) -}
  [[p, 0], [0, s]] -> [[p, s]] {- Semlab 1 (Concon 1 (Input 8)) -}
  [[p, 0], [0, rd]] -> [[p, rd]] {- Semlab 1 (Concon 2 (Input 8)) -}
  [[0, 0], [0, 0]] -> [[0, 0]] {- Semlab 2 (Concon 0 (Input 8)) -}
  [[0, 0], [0, s]] -> [[0, s]] {- Semlab 2 (Concon 1 (Input 8)) -}
  [[0, 0], [0, rd]] -> [[0, rd]] {- Semlab 2 (Concon 2 (Input 8)) -}
  [[s, 0], [0, 0]] -> [[s, 0]] {- Semlab 3 (Concon 0 (Input 8)) -}
  [[s, 0], [0, s]] -> [[s, s]] {- Semlab 3 (Concon 1 (Input 8)) -}
  [[s, 0], [0, rd]] -> [[s, rd]] {- Semlab 3 (Concon 2 (Input 8)) -}
  [[f, 0], [0, 0]] -> [[f, 0]] {- Semlab 4 (Concon 0 (Input 8)) -}
  [[f, 0], [0, s]] -> [[f, s]] {- Semlab 4 (Concon 1 (Input 8)) -}
  [[f, 0], [0, rd]] -> [[f, rd]] {- Semlab 4 (Concon 2 (Input 8)) -}
  [[half, 0], [0, 0]] -> [[half, 0]] {- Semlab 5 (Concon 0 (Input 8)) -}
  [[half, 0], [0, s]] -> [[half, s]] {- Semlab 5 (Concon 1 (Input 8)) -}
  [[half, 0], [0, rd]] -> [[half, rd]] {- Semlab 5 (Concon 2 (Input 8)) -}
reason
  ([<, p], 12/5)
  ([p, 0], 1/3)
  ([0, 0], 27/5)
  ([0, s], 1/1)
  ([0, rd], 9/2)
  ([s, 0], 1/3)
  ([half, 0], 1/3)
  ([s, >], 27/10)
  ([<, half], 7/5)
  ([s, rd], 8/5)
   property Termination
has value Just True
for SRS
  [[p, p], [p, 0], [0, s]] -> [ [p, 0] , [0, s] , [s, s] , [s, p] , [p, s] ] {- Semlab 1 (Concon 1 (Input 0)) -}
  [[s, p], [p, 0], [0, s]] -> [ [s, 0] , [0, s] , [s, s] , [s, p] , [p, s] ] {- Semlab 2 (Concon 1 (Input 0)) -}
  [[half, p], [p, 0], [0, s]] -> [ [half, 0] , [0, s] , [s, s] , [s, p] , [p, s] ] {- Semlab 4 (Concon 1 (Input 0)) -}
  [[<, p], [p, s], [s, p]] -> [[<, p]] {- Semlab 0 (Concon 1 (Input 1)) -}
  [[p, p], [p, s], [s, p]] -> [[p, p]] {- Semlab 1 (Concon 1 (Input 1)) -}
  [[p, p], [p, s], [s, 0]] -> [[p, 0]] {- Semlab 1 (Concon 2 (Input 1)) -}
  [[p, p], [p, s], [s, s]] -> [[p, s]] {- Semlab 1 (Concon 3 (Input 1)) -}
  [[p, p], [p, s], [s, half]] -> [[p, half]] {- Semlab 1 (Concon 4 (Input 1)) -}
  [[s, p], [p, s], [s, >]] -> [[s, >]] {- Semlab 2 (Concon 0 (Input 1)) -}
  [[s, p], [p, s], [s, p]] -> [[s, p]] {- Semlab 2 (Concon 1 (Input 1)) -}
  [[s, p], [p, s], [s, 0]] -> [[s, 0]] {- Semlab 2 (Concon 2 (Input 1)) -}
  [[s, p], [p, s], [s, s]] -> [[s, s]] {- Semlab 2 (Concon 3 (Input 1)) -}
  [[s, p], [p, s], [s, half]] -> [[s, half]] {- Semlab 2 (Concon 4 (Input 1)) -}
  [[s, p], [p, s], [s, rd]] -> [[s, rd]] {- Semlab 2 (Concon 5 (Input 1)) -}
  [[f, p], [p, s], [s, p]] -> [[f, p]] {- Semlab 3 (Concon 1 (Input 1)) -}
  [[f, p], [p, s], [s, s]] -> [[f, s]] {- Semlab 3 (Concon 3 (Input 1)) -}
  [[f, p], [p, s], [s, half]] -> [[f, half]] {- Semlab 3 (Concon 4 (Input 1)) -}
  [[half, p], [p, s], [s, p]] -> [[half, p]] {- Semlab 4 (Concon 1 (Input 1)) -}
  [[half, p], [p, s], [s, 0]] -> [[half, 0]] {- Semlab 4 (Concon 2 (Input 1)) -}
  [[half, p], [p, s], [s, s]] -> [[half, s]] {- Semlab 4 (Concon 3 (Input 1)) -}
  [[half, p], [p, s], [s, half]] -> [ [ half , half ] ] {- Semlab 4 (Concon 4 (Input 1)) -}
  [[<, p], [p, p], [p, s], [s, p]] -> [ [<, p] , [ p , p ] ] {- Semlab 0 (Concon 1 (Input 2)) -}
  [[<, p], [p, p], [p, s], [s, 0]] -> [ [<, p] , [ p , 0 ] ] {- Semlab 0 (Concon 2 (Input 2)) -}
  [[<, p], [p, p], [p, s], [s, s]] -> [ [<, p] , [ p , s ] ] {- Semlab 0 (Concon 3 (Input 2)) -}
  [[<, p], [p, p], [p, s], [s, half]] -> [ [<, p] , [ p , half ] ] {- Semlab 0 (Concon 4 (Input 2)) -}
  [[p, p], [p, p], [p, s], [s, p]] -> [ [p, p] , [ p , p ] ] {- Semlab 1 (Concon 1 (Input 2)) -}
  [[p, p], [p, p], [p, s], [s, 0]] -> [ [p, p] , [ p , 0 ] ] {- Semlab 1 (Concon 2 (Input 2)) -}
  [[p, p], [p, p], [p, s], [s, s]] -> [ [p, p] , [ p , s ] ] {- Semlab 1 (Concon 3 (Input 2)) -}
  [[p, p], [p, p], [p, s], [s, half]] -> [ [p, p] , [ p , half ] ] {- Semlab 1 (Concon 4 (Input 2)) -}
  [[s, p], [p, p], [p, s], [s, p]] -> [ [s, p] , [ p , p ] ] {- Semlab 2 (Concon 1 (Input 2)) -}
  [[s, p], [p, p], [p, s], [s, 0]] -> [ [s, p] , [ p , 0 ] ] {- Semlab 2 (Concon 2 (Input 2)) -}
  [[s, p], [p, p], [p, s], [s, s]] -> [ [s, p] , [ p , s ] ] {- Semlab 2 (Concon 3 (Input 2)) -}
  [[s, p], [p, p], [p, s], [s, half]] -> [ [s, p] , [ p , half ] ] {- Semlab 2 (Concon 4 (Input 2)) -}
  [[f, p], [p, p], [p, s], [s, p]] -> [ [f, p] , [ p , p ] ] {- Semlab 3 (Concon 1 (Input 2)) -}
  [[f, p], [p, p], [p, s], [s, 0]] -> [ [f, p] , [ p , 0 ] ] {- Semlab 3 (Concon 2 (Input 2)) -}
  [[f, p], [p, p], [p, s], [s, s]] -> [ [f, p] , [ p , s ] ] {- Semlab 3 (Concon 3 (Input 2)) -}
  [[f, p], [p, p], [p, s], [s, half]] -> [ [f, p] , [ p , half ] ] {- Semlab 3 (Concon 4 (Input 2)) -}
  [[half, p], [p, p], [p, s], [s, p]] -> [ [half, p] , [ p , p ] ] {- Semlab 4 (Concon 1 (Input 2)) -}
  [[half, p], [p, p], [p, s], [s, 0]] -> [ [half, p] , [ p , 0 ] ] {- Semlab 4 (Concon 2 (Input 2)) -}
  [[half, p], [p, p], [p, s], [s, s]] -> [ [half, p] , [ p , s ] ] {- Semlab 4 (Concon 3 (Input 2)) -}
  [[half, p], [p, p], [p, s], [s, half]] -> [ [half, p] , [ p , half ] ] {- Semlab 4 (Concon 4 (Input 2)) -}
  [[<, f], [f, s], [s, >]] -> [ [<, g] , [g, s] , [s, >] ] {- Semlab 0 (Concon 0 (Input 3)) -}
  [[<, f], [f, s], [s, p]] -> [ [<, g] , [g, s] , [s, p] ] {- Semlab 0 (Concon 1 (Input 3)) -}
  [[<, f], [f, s], [s, 0]] -> [ [<, g] , [g, s] , [s, 0] ] {- Semlab 0 (Concon 2 (Input 3)) -}
  [[<, f], [f, s], [s, s]] -> [ [<, g] , [g, s] , [s, s] ] {- Semlab 0 (Concon 3 (Input 3)) -}
  [[<, f], [f, s], [s, half]] -> [ [<, g] , [g, s] , [s, half] ] {- Semlab 0 (Concon 4 (Input 3)) -}
  [[<, f], [f, s], [s, rd]] -> [ [<, g] , [g, s] , [s, rd] ] {- Semlab 0 (Concon 5 (Input 3)) -}
  [[<, g], [g, s]] -> [ [<, i] , [i, s] , [s, half] , [half, s] ] {- Semlab 0 (Concon 0 (Input 4)) -}
  [[<, i], [i, s]] -> [[<, f], [f, p], [p, s]] {- Semlab 0 (Concon 0 (Input 5)) -}
  [[p, half], [half, 0], [0, s]] -> [ [p, 0] , [0, s] , [s, s] , [s, half] , [ half , s ] ] {- Semlab 1 (Concon 1 (Input 6)) -}
  [[s, half], [half, 0], [0, s]] -> [ [s, 0] , [0, s] , [s, s] , [s, half] , [ half , s ] ] {- Semlab 2 (Concon 1 (Input 6)) -}
  [[half, half], [half, 0], [0, s]] -> [ [half, 0] , [0, s] , [s, s] , [s, half] , [ half , s ] ] {- Semlab 4 (Concon 1 (Input 6)) -}
  [[p, half], [half, s], [s, s], [s, >]] -> [ [p, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , > ] ] {- Semlab 1 (Concon 0 (Input 7)) -}
  [[p, half], [half, s], [s, s], [s, p]] -> [ [p, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , p ] ] {- Semlab 1 (Concon 1 (Input 7)) -}
  [[p, half], [half, s], [s, s], [s, 0]] -> [ [p, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , 0 ] ] {- Semlab 1 (Concon 2 (Input 7)) -}
  [[p, half], [half, s], [s, s], [s, s]] -> [ [p, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , s ] ] {- Semlab 1 (Concon 3 (Input 7)) -}
  [[p, half], [half, s], [s, s], [s, half]] -> [ [p, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , half ] ] {- Semlab 1 (Concon 4 (Input 7)) -}
  [[p, half], [half, s], [s, s], [s, rd]] -> [ [p, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , rd ] ] {- Semlab 1 (Concon 5 (Input 7)) -}
  [[s, half], [half, s], [s, s], [s, >]] -> [ [s, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , > ] ] {- Semlab 2 (Concon 0 (Input 7)) -}
  [[s, half], [half, s], [s, s], [s, p]] -> [ [s, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , p ] ] {- Semlab 2 (Concon 1 (Input 7)) -}
  [[s, half], [half, s], [s, s], [s, 0]] -> [ [s, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , 0 ] ] {- Semlab 2 (Concon 2 (Input 7)) -}
  [[s, half], [half, s], [s, s], [s, s]] -> [ [s, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , s ] ] {- Semlab 2 (Concon 3 (Input 7)) -}
  [[s, half], [half, s], [s, s], [s, half]] -> [ [s, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , half ] ] {- Semlab 2 (Concon 4 (Input 7)) -}
  [[s, half], [half, s], [s, s], [s, rd]] -> [ [s, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , rd ] ] {- Semlab 2 (Concon 5 (Input 7)) -}
  [[f, half], [half, s], [s, s], [s, >]] -> [ [f, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , > ] ] {- Semlab 3 (Concon 0 (Input 7)) -}
  [[f, half], [half, s], [s, s], [s, p]] -> [ [f, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , p ] ] {- Semlab 3 (Concon 1 (Input 7)) -}
  [[f, half], [half, s], [s, s], [s, 0]] -> [ [f, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , 0 ] ] {- Semlab 3 (Concon 2 (Input 7)) -}
  [[f, half], [half, s], [s, s], [s, s]] -> [ [f, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , s ] ] {- Semlab 3 (Concon 3 (Input 7)) -}
  [[f, half], [half, s], [s, s], [s, half]] -> [ [f, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , half ] ] {- Semlab 3 (Concon 4 (Input 7)) -}
  [[f, half], [half, s], [s, s], [s, rd]] -> [ [f, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , rd ] ] {- Semlab 3 (Concon 5 (Input 7)) -}
  [[half, half], [half, s], [s, s], [s, >]] -> [ [half, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , > ] ] {- Semlab 4 (Concon 0 (Input 7)) -}
  [[half, half], [half, s], [s, s], [s, p]] -> [ [half, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , p ] ] {- Semlab 4 (Concon 1 (Input 7)) -}
  [[half, half], [half, s], [s, s], [s, 0]] -> [ [half, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , 0 ] ] {- Semlab 4 (Concon 2 (Input 7)) -}
  [[half, half], [half, s], [s, s], [s, s]] -> [ [half, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , s ] ] {- Semlab 4 (Concon 3 (Input 7)) -}
  [[half, half], [half, s], [s, s], [s, half]] -> [ [half, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , half ] ] {- Semlab 4 (Concon 4 (Input 7)) -}
  [[half, half], [half, s], [s, s], [s, rd]] -> [ [half, s] , [s, half] , [half, p] , [p, p] , [p, s] , [s, s] , [ s , rd ] ] {- Semlab 4 (Concon 5 (Input 7)) -}
reason
  unlabel
   property Termination
has value Just True
for SRS
  [0, 1] -> [1, 2, 2, 0] {- Input 0 -}
  [0, 2] -> [] {- Input 1 -}
  [0, 0, 2] -> [0] {- Input 2 -}
  [3, 2] -> [4, 2] {- Input 3 -}
  [4] -> [5, 2, 6] {- Input 4 -}
  [5] -> [3, 0] {- Input 5 -}
  [6, 1] -> [1, 2, 2, 6] {- Input 6 -}
  [6, 2, 2] -> [2, 6, 0, 0, 2, 2] {- Input 7 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [1, 0] -> [0, 2, 2, 1] {- Mirror (Input 0) -}
  [2, 0] -> [] {- Mirror (Input 1) -}
  [2, 0, 0] -> [0] {- Mirror (Input 2) -}
  [2, 3] -> [2, 4] {- Mirror (Input 3) -}
  [4] -> [6, 2, 5] {- Mirror (Input 4) -}
  [5] -> [0, 3] {- Mirror (Input 5) -}
  [1, 6] -> [6, 2, 2, 1] {- Mirror (Input 6) -}
  [2, 2, 6] -> [2, 2, 0, 0, 6, 2] {- Mirror (Input 7) -}
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 27 tiles
  tile all rules
  steps: 1
  
   property Termination
has value Just True
for SRS
  [[<, 2], [2, 0], [0, >]] -> [ [ < , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 1))) -}
  [[<, 2], [2, 0], [0, 0]] -> [ [ < , 0 ] ] {- Semlab 0 (Concon 1 (Mirror (Input 1))) -}
  [[<, 2], [2, 0], [0, 2]] -> [ [ < , 2 ] ] {- Semlab 0 (Concon 2 (Mirror (Input 1))) -}
  [[<, 2], [2, 0], [0, 3]] -> [ [ < , 3 ] ] {- Semlab 0 (Concon 3 (Mirror (Input 1))) -}
  [[<, 2], [2, 0], [0, 6]] -> [ [ < , 6 ] ] {- Semlab 0 (Concon 4 (Mirror (Input 1))) -}
  [[0, 2], [2, 0], [0, >]] -> [ [ 0 , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 1))) -}
  [[0, 2], [2, 0], [0, 0]] -> [ [ 0 , 0 ] ] {- Semlab 1 (Concon 1 (Mirror (Input 1))) -}
  [[0, 2], [2, 0], [0, 2]] -> [ [ 0 , 2 ] ] {- Semlab 1 (Concon 2 (Mirror (Input 1))) -}
  [[0, 2], [2, 0], [0, 3]] -> [ [ 0 , 3 ] ] {- Semlab 1 (Concon 3 (Mirror (Input 1))) -}
  [[0, 2], [2, 0], [0, 6]] -> [ [ 0 , 6 ] ] {- Semlab 1 (Concon 4 (Mirror (Input 1))) -}
  [[2, 2], [2, 0], [0, >]] -> [ [ 2 , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 1))) -}
  [[2, 2], [2, 0], [0, 0]] -> [ [ 2 , 0 ] ] {- Semlab 2 (Concon 1 (Mirror (Input 1))) -}
  [[2, 2], [2, 0], [0, 2]] -> [ [ 2 , 2 ] ] {- Semlab 2 (Concon 2 (Mirror (Input 1))) -}
  [[2, 2], [2, 0], [0, 3]] -> [ [ 2 , 3 ] ] {- Semlab 2 (Concon 3 (Mirror (Input 1))) -}
  [[2, 2], [2, 0], [0, 6]] -> [ [ 2 , 6 ] ] {- Semlab 2 (Concon 4 (Mirror (Input 1))) -}
  [[6, 2], [2, 0], [0, >]] -> [ [ 6 , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 1))) -}
  [[6, 2], [2, 0], [0, 0]] -> [ [ 6 , 0 ] ] {- Semlab 3 (Concon 1 (Mirror (Input 1))) -}
  [[6, 2], [2, 0], [0, 2]] -> [ [ 6 , 2 ] ] {- Semlab 3 (Concon 2 (Mirror (Input 1))) -}
  [[6, 2], [2, 0], [0, 3]] -> [ [ 6 , 3 ] ] {- Semlab 3 (Concon 3 (Mirror (Input 1))) -}
  [[6, 2], [2, 0], [0, 6]] -> [ [ 6 , 6 ] ] {- Semlab 3 (Concon 4 (Mirror (Input 1))) -}
  [[<, 2], [2, 0], [0, 0], [0, >]] -> [ [<, 0] , [ 0 , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 2))) -}
  [[<, 2], [2, 0], [0, 0], [0, 0]] -> [ [<, 0] , [ 0 , 0 ] ] {- Semlab 0 (Concon 1 (Mirror (Input 2))) -}
  [[<, 2], [2, 0], [0, 0], [0, 2]] -> [ [<, 0] , [ 0 , 2 ] ] {- Semlab 0 (Concon 2 (Mirror (Input 2))) -}
  [[<, 2], [2, 0], [0, 0], [0, 3]] -> [ [<, 0] , [ 0 , 3 ] ] {- Semlab 0 (Concon 3 (Mirror (Input 2))) -}
  [[<, 2], [2, 0], [0, 0], [0, 6]] -> [ [<, 0] , [ 0 , 6 ] ] {- Semlab 0 (Concon 4 (Mirror (Input 2))) -}
  [[0, 2], [2, 0], [0, 0], [0, >]] -> [ [0, 0] , [ 0 , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 2))) -}
  [[0, 2], [2, 0], [0, 0], [0, 0]] -> [ [0, 0] , [ 0 , 0 ] ] {- Semlab 1 (Concon 1 (Mirror (Input 2))) -}
  [[0, 2], [2, 0], [0, 0], [0, 2]] -> [ [0, 0] , [ 0 , 2 ] ] {- Semlab 1 (Concon 2 (Mirror (Input 2))) -}
  [[0, 2], [2, 0], [0, 0], [0, 3]] -> [ [0, 0] , [ 0 , 3 ] ] {- Semlab 1 (Concon 3 (Mirror (Input 2))) -}
  [[0, 2], [2, 0], [0, 0], [0, 6]] -> [ [0, 0] , [ 0 , 6 ] ] {- Semlab 1 (Concon 4 (Mirror (Input 2))) -}
  [[2, 2], [2, 0], [0, 0], [0, >]] -> [ [2, 0] , [ 0 , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 2))) -}
  [[2, 2], [2, 0], [0, 0], [0, 0]] -> [ [2, 0] , [ 0 , 0 ] ] {- Semlab 2 (Concon 1 (Mirror (Input 2))) -}
  [[2, 2], [2, 0], [0, 0], [0, 2]] -> [ [2, 0] , [ 0 , 2 ] ] {- Semlab 2 (Concon 2 (Mirror (Input 2))) -}
  [[2, 2], [2, 0], [0, 0], [0, 3]] -> [ [2, 0] , [ 0 , 3 ] ] {- Semlab 2 (Concon 3 (Mirror (Input 2))) -}
  [[2, 2], [2, 0], [0, 0], [0, 6]] -> [ [2, 0] , [ 0 , 6 ] ] {- Semlab 2 (Concon 4 (Mirror (Input 2))) -}
  [[6, 2], [2, 0], [0, 0], [0, >]] -> [ [6, 0] , [ 0 , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 2))) -}
  [[6, 2], [2, 0], [0, 0], [0, 0]] -> [ [6, 0] , [ 0 , 0 ] ] {- Semlab 3 (Concon 1 (Mirror (Input 2))) -}
  [[6, 2], [2, 0], [0, 0], [0, 2]] -> [ [6, 0] , [ 0 , 2 ] ] {- Semlab 3 (Concon 2 (Mirror (Input 2))) -}
  [[6, 2], [2, 0], [0, 0], [0, 3]] -> [ [6, 0] , [ 0 , 3 ] ] {- Semlab 3 (Concon 3 (Mirror (Input 2))) -}
  [[6, 2], [2, 0], [0, 0], [0, 6]] -> [ [6, 0] , [ 0 , 6 ] ] {- Semlab 3 (Concon 4 (Mirror (Input 2))) -}
  [[<, 2], [2, 3], [3, >]] -> [ [<, 2] , [2, 4] , [ 4 , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 3))) -}
  [[0, 2], [2, 3], [3, >]] -> [ [0, 2] , [2, 4] , [ 4 , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 3))) -}
  [[2, 2], [2, 3], [3, >]] -> [ [2, 2] , [2, 4] , [ 4 , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 3))) -}
  [[6, 2], [2, 3], [3, >]] -> [ [6, 2] , [2, 4] , [ 4 , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 3))) -}
  [[2, 4], [4, >]] -> [ [2, 6] , [6, 2] , [2, 5] , [5, >] ] {- Semlab 0 (Concon 0 (Mirror (Input 4))) -}
  [[2, 5], [5, >]] -> [ [2, 0] , [0, 3] , [3, >] ] {- Semlab 0 (Concon 0 (Mirror (Input 5))) -}
  [[<, 2], [2, 2], [2, 6], [6, >]] -> [ [<, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 7))) -}
  [[<, 2], [2, 2], [2, 6], [6, 0]] -> [ [<, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 0 ] ] {- Semlab 0 (Concon 1 (Mirror (Input 7))) -}
  [[<, 2], [2, 2], [2, 6], [6, 2]] -> [ [<, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Mirror (Input 7))) -}
  [[<, 2], [2, 2], [2, 6], [6, 3]] -> [ [<, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 3 ] ] {- Semlab 0 (Concon 3 (Mirror (Input 7))) -}
  [[<, 2], [2, 2], [2, 6], [6, 6]] -> [ [<, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 6 ] ] {- Semlab 0 (Concon 4 (Mirror (Input 7))) -}
  [[0, 2], [2, 2], [2, 6], [6, >]] -> [ [0, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 7))) -}
  [[0, 2], [2, 2], [2, 6], [6, 0]] -> [ [0, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 0 ] ] {- Semlab 1 (Concon 1 (Mirror (Input 7))) -}
  [[0, 2], [2, 2], [2, 6], [6, 2]] -> [ [0, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Mirror (Input 7))) -}
  [[0, 2], [2, 2], [2, 6], [6, 3]] -> [ [0, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 3 ] ] {- Semlab 1 (Concon 3 (Mirror (Input 7))) -}
  [[0, 2], [2, 2], [2, 6], [6, 6]] -> [ [0, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 6 ] ] {- Semlab 1 (Concon 4 (Mirror (Input 7))) -}
  [[2, 2], [2, 2], [2, 6], [6, >]] -> [ [2, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 7))) -}
  [[2, 2], [2, 2], [2, 6], [6, 0]] -> [ [2, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 0 ] ] {- Semlab 2 (Concon 1 (Mirror (Input 7))) -}
  [[2, 2], [2, 2], [2, 6], [6, 2]] -> [ [2, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 2 ] ] {- Semlab 2 (Concon 2 (Mirror (Input 7))) -}
  [[2, 2], [2, 2], [2, 6], [6, 3]] -> [ [2, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 3 ] ] {- Semlab 2 (Concon 3 (Mirror (Input 7))) -}
  [[2, 2], [2, 2], [2, 6], [6, 6]] -> [ [2, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 6 ] ] {- Semlab 2 (Concon 4 (Mirror (Input 7))) -}
  [[6, 2], [2, 2], [2, 6], [6, >]] -> [ [6, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 7))) -}
  [[6, 2], [2, 2], [2, 6], [6, 0]] -> [ [6, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 0 ] ] {- Semlab 3 (Concon 1 (Mirror (Input 7))) -}
  [[6, 2], [2, 2], [2, 6], [6, 2]] -> [ [6, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 2 ] ] {- Semlab 3 (Concon 2 (Mirror (Input 7))) -}
  [[6, 2], [2, 2], [2, 6], [6, 3]] -> [ [6, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 3 ] ] {- Semlab 3 (Concon 3 (Mirror (Input 7))) -}
  [[6, 2], [2, 2], [2, 6], [6, 6]] -> [ [6, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 6 ] ] {- Semlab 3 (Concon 4 (Mirror (Input 7))) -}
reason
  ([<, 2], 6/1)
  ([0, >], 2/1)
  ([0, 2], 26/3)
  ([2, 2], 1/10)
  ([2, 3], 1/10)
  ([2, 6], 1/10)
  ([6, >], 1/1)
  ([2, 4], 1/10)
   property Termination
has value Just True
for SRS
  [[2, 2], [2, 0], [0, 3]] -> [ [ 2 , 3 ] ] {- Semlab 2 (Concon 3 (Mirror (Input 1))) -}
  [[2, 2], [2, 0], [0, 6]] -> [ [ 2 , 6 ] ] {- Semlab 2 (Concon 4 (Mirror (Input 1))) -}
  [[6, 2], [2, 0], [0, 0]] -> [ [ 6 , 0 ] ] {- Semlab 3 (Concon 1 (Mirror (Input 1))) -}
  [[6, 2], [2, 0], [0, 3]] -> [ [ 6 , 3 ] ] {- Semlab 3 (Concon 3 (Mirror (Input 1))) -}
  [[6, 2], [2, 0], [0, 6]] -> [ [ 6 , 6 ] ] {- Semlab 3 (Concon 4 (Mirror (Input 1))) -}
  [[6, 2], [2, 0], [0, 0], [0, >]] -> [ [6, 0] , [ 0 , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 2))) -}
  [[6, 2], [2, 0], [0, 0], [0, 0]] -> [ [6, 0] , [ 0 , 0 ] ] {- Semlab 3 (Concon 1 (Mirror (Input 2))) -}
  [[6, 2], [2, 0], [0, 0], [0, 2]] -> [ [6, 0] , [ 0 , 2 ] ] {- Semlab 3 (Concon 2 (Mirror (Input 2))) -}
  [[6, 2], [2, 0], [0, 0], [0, 3]] -> [ [6, 0] , [ 0 , 3 ] ] {- Semlab 3 (Concon 3 (Mirror (Input 2))) -}
  [[6, 2], [2, 0], [0, 0], [0, 6]] -> [ [6, 0] , [ 0 , 6 ] ] {- Semlab 3 (Concon 4 (Mirror (Input 2))) -}
  [[<, 2], [2, 3], [3, >]] -> [ [<, 2] , [2, 4] , [ 4 , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 3))) -}
  [[0, 2], [2, 3], [3, >]] -> [ [0, 2] , [2, 4] , [ 4 , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 3))) -}
  [[2, 2], [2, 3], [3, >]] -> [ [2, 2] , [2, 4] , [ 4 , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 3))) -}
  [[6, 2], [2, 3], [3, >]] -> [ [6, 2] , [2, 4] , [ 4 , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 3))) -}
  [[2, 4], [4, >]] -> [ [2, 6] , [6, 2] , [2, 5] , [5, >] ] {- Semlab 0 (Concon 0 (Mirror (Input 4))) -}
  [[2, 5], [5, >]] -> [ [2, 0] , [0, 3] , [3, >] ] {- Semlab 0 (Concon 0 (Mirror (Input 5))) -}
  [[<, 2], [2, 2], [2, 6], [6, 2]] -> [ [<, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Mirror (Input 7))) -}
  [[<, 2], [2, 2], [2, 6], [6, 3]] -> [ [<, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 3 ] ] {- Semlab 0 (Concon 3 (Mirror (Input 7))) -}
  [[<, 2], [2, 2], [2, 6], [6, 6]] -> [ [<, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 6 ] ] {- Semlab 0 (Concon 4 (Mirror (Input 7))) -}
  [[0, 2], [2, 2], [2, 6], [6, 2]] -> [ [0, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Mirror (Input 7))) -}
  [[0, 2], [2, 2], [2, 6], [6, 3]] -> [ [0, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 3 ] ] {- Semlab 1 (Concon 3 (Mirror (Input 7))) -}
  [[0, 2], [2, 2], [2, 6], [6, 6]] -> [ [0, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 6 ] ] {- Semlab 1 (Concon 4 (Mirror (Input 7))) -}
  [[2, 2], [2, 2], [2, 6], [6, 2]] -> [ [2, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 2 ] ] {- Semlab 2 (Concon 2 (Mirror (Input 7))) -}
  [[2, 2], [2, 2], [2, 6], [6, 3]] -> [ [2, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 3 ] ] {- Semlab 2 (Concon 3 (Mirror (Input 7))) -}
  [[2, 2], [2, 2], [2, 6], [6, 6]] -> [ [2, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 6 ] ] {- Semlab 2 (Concon 4 (Mirror (Input 7))) -}
  [[6, 2], [2, 2], [2, 6], [6, 2]] -> [ [6, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 2 ] ] {- Semlab 3 (Concon 2 (Mirror (Input 7))) -}
  [[6, 2], [2, 2], [2, 6], [6, 3]] -> [ [6, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 3 ] ] {- Semlab 3 (Concon 3 (Mirror (Input 7))) -}
  [[6, 2], [2, 2], [2, 6], [6, 6]] -> [ [6, 2] , [2, 2] , [2, 0] , [0, 0] , [0, 6] , [6, 2] , [ 2 , 6 ] ] {- Semlab 3 (Concon 4 (Mirror (Input 7))) -}
reason
  unlabel
   property Termination
has value Just True
for SRS
  [2, 1] -> [] {- Mirror (Input 1) -}
  [2, 1, 1] -> [1] {- Mirror (Input 2) -}
  [2, 3] -> [2, 4] {- Mirror (Input 3) -}
  [4] -> [5, 2, 6] {- Mirror (Input 4) -}
  [6] -> [1, 3] {- Mirror (Input 5) -}
  [2, 2, 5] -> [2, 2, 1, 1, 5, 2] {- Mirror (Input 7) -}
reason
  Matchbound
    Matchbound   { method = RFC, max_size = Nothing, max_bound = Nothing, verbose = False, tracing = False} matchbound 3 certified by automaton with 49 states

**************************************************
skeleton: (10,8)\TileAllRFC{2}(146,38)\Weight(76,24)\Unlabel\Mirror(8,7)\TileAllRFC{2}(66,25)\Weight(28,19)\Unlabel(6,6)\Rfcmatchbound{3}[]
**************************************************
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)])