/export/starexec/sandbox/solver/bin/starexec_run_tc20-rel.sh /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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


YES
**************************************************
summary
**************************************************
SRS with 2 strict rules and 1 weak rules on 2 letters       tile all, by Config   { method = Overlap,width = 3,unlabel = True}
SRS with 98 strict rules and 49 weak rules on 24 letters       weights
SRS with 0 strict rules and 17 weak rules on 12 letters       no strict rules

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [c, a, c] -> [] {- Input 0 -}
  [a, c, a] -> [a, a, a, a] {- Input 1 -}
  [] ->= [c, c, c, c] {- Input 2 -}
reason
  Tiling   { method = Overlap, width = 3, state_type = Bit64, map_type = Enum, unlabel = True, print_completion_steps = False, print_tiles = False, verbose = False, tracing = True}
  steps 2
  using 21 tiles
  tile all rules
  steps: 2
  
   property Termination
has value Just True
for SRS
  [[<, <, c], [<, c, a], [c, a, c], [a, c, >], [c, >, >]] -> [ [<, <, >] , [ < , > , > ] ] {- Semlab 0 (Concon 0 (Input 0)) -}
  [[<, <, c], [<, c, a], [c, a, c], [a, c, c], [c, c, >]] -> [ [<, <, c] , [ < , c , > ] ] {- Semlab 0 (Concon 1 (Input 0)) -}
  [[<, <, c], [<, c, a], [c, a, c], [a, c, c], [c, c, c]] -> [ [<, <, c] , [ < , c , c ] ] {- Semlab 0 (Concon 2 (Input 0)) -}
  [[<, <, c], [<, c, a], [c, a, c], [a, c, c], [c, c, a]] -> [ [<, <, c] , [ < , c , a ] ] {- Semlab 0 (Concon 3 (Input 0)) -}
  [[<, <, c], [<, c, a], [c, a, c], [a, c, a], [c, a, >]] -> [ [<, <, a] , [ < , a , > ] ] {- Semlab 0 (Concon 4 (Input 0)) -}
  [[<, <, c], [<, c, a], [c, a, c], [a, c, a], [c, a, c]] -> [ [<, <, a] , [ < , a , c ] ] {- Semlab 0 (Concon 5 (Input 0)) -}
  [[<, <, c], [<, c, a], [c, a, c], [a, c, a], [c, a, a]] -> [ [<, <, a] , [ < , a , a ] ] {- Semlab 0 (Concon 6 (Input 0)) -}
  [[<, c, c], [c, c, a], [c, a, c], [a, c, >], [c, >, >]] -> [ [<, c, >] , [ c , > , > ] ] {- Semlab 1 (Concon 0 (Input 0)) -}
  [[<, c, c], [c, c, a], [c, a, c], [a, c, c], [c, c, >]] -> [ [<, c, c] , [ c , c , > ] ] {- Semlab 1 (Concon 1 (Input 0)) -}
  [[<, c, c], [c, c, a], [c, a, c], [a, c, c], [c, c, c]] -> [ [<, c, c] , [ c , c , c ] ] {- Semlab 1 (Concon 2 (Input 0)) -}
  [[<, c, c], [c, c, a], [c, a, c], [a, c, c], [c, c, a]] -> [ [<, c, c] , [ c , c , a ] ] {- Semlab 1 (Concon 3 (Input 0)) -}
  [[<, c, c], [c, c, a], [c, a, c], [a, c, a], [c, a, >]] -> [ [<, c, a] , [ c , a , > ] ] {- Semlab 1 (Concon 4 (Input 0)) -}
  [[<, c, c], [c, c, a], [c, a, c], [a, c, a], [c, a, c]] -> [ [<, c, a] , [ c , a , c ] ] {- Semlab 1 (Concon 5 (Input 0)) -}
  [[<, c, c], [c, c, a], [c, a, c], [a, c, a], [c, a, a]] -> [ [<, c, a] , [ c , a , a ] ] {- Semlab 1 (Concon 6 (Input 0)) -}
  [[<, a, c], [a, c, a], [c, a, c], [a, c, >], [c, >, >]] -> [ [<, a, >] , [ a , > , > ] ] {- Semlab 2 (Concon 0 (Input 0)) -}
  [[<, a, c], [a, c, a], [c, a, c], [a, c, c], [c, c, >]] -> [ [<, a, c] , [ a , c , > ] ] {- Semlab 2 (Concon 1 (Input 0)) -}
  [[<, a, c], [a, c, a], [c, a, c], [a, c, c], [c, c, c]] -> [ [<, a, c] , [ a , c , c ] ] {- Semlab 2 (Concon 2 (Input 0)) -}
  [[<, a, c], [a, c, a], [c, a, c], [a, c, c], [c, c, a]] -> [ [<, a, c] , [ a , c , a ] ] {- Semlab 2 (Concon 3 (Input 0)) -}
  [[<, a, c], [a, c, a], [c, a, c], [a, c, a], [c, a, >]] -> [ [<, a, a] , [ a , a , > ] ] {- Semlab 2 (Concon 4 (Input 0)) -}
  [[<, a, c], [a, c, a], [c, a, c], [a, c, a], [c, a, c]] -> [ [<, a, a] , [ a , a , c ] ] {- Semlab 2 (Concon 5 (Input 0)) -}
  [[<, a, c], [a, c, a], [c, a, c], [a, c, a], [c, a, a]] -> [ [<, a, a] , [ a , a , a ] ] {- Semlab 2 (Concon 6 (Input 0)) -}
  [[c, c, c], [c, c, a], [c, a, c], [a, c, >], [c, >, >]] -> [ [c, c, >] , [ c , > , > ] ] {- Semlab 3 (Concon 0 (Input 0)) -}
  [[c, c, c], [c, c, a], [c, a, c], [a, c, c], [c, c, >]] -> [ [c, c, c] , [ c , c , > ] ] {- Semlab 3 (Concon 1 (Input 0)) -}
  [[c, c, c], [c, c, a], [c, a, c], [a, c, c], [c, c, c]] -> [ [c, c, c] , [ c , c , c ] ] {- Semlab 3 (Concon 2 (Input 0)) -}
  [[c, c, c], [c, c, a], [c, a, c], [a, c, c], [c, c, a]] -> [ [c, c, c] , [ c , c , a ] ] {- Semlab 3 (Concon 3 (Input 0)) -}
  [[c, c, c], [c, c, a], [c, a, c], [a, c, a], [c, a, >]] -> [ [c, c, a] , [ c , a , > ] ] {- Semlab 3 (Concon 4 (Input 0)) -}
  [[c, c, c], [c, c, a], [c, a, c], [a, c, a], [c, a, c]] -> [ [c, c, a] , [ c , a , c ] ] {- Semlab 3 (Concon 5 (Input 0)) -}
  [[c, c, c], [c, c, a], [c, a, c], [a, c, a], [c, a, a]] -> [ [c, c, a] , [ c , a , a ] ] {- Semlab 3 (Concon 6 (Input 0)) -}
  [[c, a, c], [a, c, a], [c, a, c], [a, c, >], [c, >, >]] -> [ [c, a, >] , [ a , > , > ] ] {- Semlab 4 (Concon 0 (Input 0)) -}
  [[c, a, c], [a, c, a], [c, a, c], [a, c, c], [c, c, >]] -> [ [c, a, c] , [ a , c , > ] ] {- Semlab 4 (Concon 1 (Input 0)) -}
  [[c, a, c], [a, c, a], [c, a, c], [a, c, c], [c, c, c]] -> [ [c, a, c] , [ a , c , c ] ] {- Semlab 4 (Concon 2 (Input 0)) -}
  [[c, a, c], [a, c, a], [c, a, c], [a, c, c], [c, c, a]] -> [ [c, a, c] , [ a , c , a ] ] {- Semlab 4 (Concon 3 (Input 0)) -}
  [[c, a, c], [a, c, a], [c, a, c], [a, c, a], [c, a, >]] -> [ [c, a, a] , [ a , a , > ] ] {- Semlab 4 (Concon 4 (Input 0)) -}
  [[c, a, c], [a, c, a], [c, a, c], [a, c, a], [c, a, c]] -> [ [c, a, a] , [ a , a , c ] ] {- Semlab 4 (Concon 5 (Input 0)) -}
  [[c, a, c], [a, c, a], [c, a, c], [a, c, a], [c, a, a]] -> [ [c, a, a] , [ a , a , a ] ] {- Semlab 4 (Concon 6 (Input 0)) -}
  [[a, c, c], [c, c, a], [c, a, c], [a, c, >], [c, >, >]] -> [ [a, c, >] , [ c , > , > ] ] {- Semlab 5 (Concon 0 (Input 0)) -}
  [[a, c, c], [c, c, a], [c, a, c], [a, c, c], [c, c, >]] -> [ [a, c, c] , [ c , c , > ] ] {- Semlab 5 (Concon 1 (Input 0)) -}
  [[a, c, c], [c, c, a], [c, a, c], [a, c, c], [c, c, c]] -> [ [a, c, c] , [ c , c , c ] ] {- Semlab 5 (Concon 2 (Input 0)) -}
  [[a, c, c], [c, c, a], [c, a, c], [a, c, c], [c, c, a]] -> [ [a, c, c] , [ c , c , a ] ] {- Semlab 5 (Concon 3 (Input 0)) -}
  [[a, c, c], [c, c, a], [c, a, c], [a, c, a], [c, a, >]] -> [ [a, c, a] , [ c , a , > ] ] {- Semlab 5 (Concon 4 (Input 0)) -}
  [[a, c, c], [c, c, a], [c, a, c], [a, c, a], [c, a, c]] -> [ [a, c, a] , [ c , a , c ] ] {- Semlab 5 (Concon 5 (Input 0)) -}
  [[a, c, c], [c, c, a], [c, a, c], [a, c, a], [c, a, a]] -> [ [a, c, a] , [ c , a , a ] ] {- Semlab 5 (Concon 6 (Input 0)) -}
  [[a, a, c], [a, c, a], [c, a, c], [a, c, >], [c, >, >]] -> [ [a, a, >] , [ a , > , > ] ] {- Semlab 6 (Concon 0 (Input 0)) -}
  [[a, a, c], [a, c, a], [c, a, c], [a, c, c], [c, c, >]] -> [ [a, a, c] , [ a , c , > ] ] {- Semlab 6 (Concon 1 (Input 0)) -}
  [[a, a, c], [a, c, a], [c, a, c], [a, c, c], [c, c, c]] -> [ [a, a, c] , [ a , c , c ] ] {- Semlab 6 (Concon 2 (Input 0)) -}
  [[a, a, c], [a, c, a], [c, a, c], [a, c, c], [c, c, a]] -> [ [a, a, c] , [ a , c , a ] ] {- Semlab 6 (Concon 3 (Input 0)) -}
  [[a, a, c], [a, c, a], [c, a, c], [a, c, a], [c, a, >]] -> [ [a, a, a] , [ a , a , > ] ] {- Semlab 6 (Concon 4 (Input 0)) -}
  [[a, a, c], [a, c, a], [c, a, c], [a, c, a], [c, a, c]] -> [ [a, a, a] , [ a , a , c ] ] {- Semlab 6 (Concon 5 (Input 0)) -}
  [[a, a, c], [a, c, a], [c, a, c], [a, c, a], [c, a, a]] -> [ [a, a, a] , [ a , a , a ] ] {- Semlab 6 (Concon 6 (Input 0)) -}
  [[<, <, a], [<, a, c], [a, c, a], [c, a, >], [a, >, >]] -> [ [<, <, a] , [<, a, a] , [a, a, a] , [a, a, a] , [a, a, >] , [ a , > , > ] ] {- Semlab 0 (Concon 0 (Input 1)) -}
  [[<, <, a], [<, a, c], [a, c, a], [c, a, c], [a, c, >]] -> [ [<, <, a] , [<, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , > ] ] {- Semlab 0 (Concon 1 (Input 1)) -}
  [[<, <, a], [<, a, c], [a, c, a], [c, a, c], [a, c, c]] -> [ [<, <, a] , [<, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , c ] ] {- Semlab 0 (Concon 2 (Input 1)) -}
  [[<, <, a], [<, a, c], [a, c, a], [c, a, c], [a, c, a]] -> [ [<, <, a] , [<, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , a ] ] {- Semlab 0 (Concon 3 (Input 1)) -}
  [[<, <, a], [<, a, c], [a, c, a], [c, a, a], [a, a, >]] -> [ [<, <, a] , [<, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , > ] ] {- Semlab 0 (Concon 4 (Input 1)) -}
  [[<, <, a], [<, a, c], [a, c, a], [c, a, a], [a, a, c]] -> [ [<, <, a] , [<, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , c ] ] {- Semlab 0 (Concon 5 (Input 1)) -}
  [[<, <, a], [<, a, c], [a, c, a], [c, a, a], [a, a, a]] -> [ [<, <, a] , [<, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , a ] ] {- Semlab 0 (Concon 6 (Input 1)) -}
  [[<, c, a], [c, a, c], [a, c, a], [c, a, >], [a, >, >]] -> [ [<, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, >] , [ a , > , > ] ] {- Semlab 1 (Concon 0 (Input 1)) -}
  [[<, c, a], [c, a, c], [a, c, a], [c, a, c], [a, c, >]] -> [ [<, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , > ] ] {- Semlab 1 (Concon 1 (Input 1)) -}
  [[<, c, a], [c, a, c], [a, c, a], [c, a, c], [a, c, c]] -> [ [<, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , c ] ] {- Semlab 1 (Concon 2 (Input 1)) -}
  [[<, c, a], [c, a, c], [a, c, a], [c, a, c], [a, c, a]] -> [ [<, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , a ] ] {- Semlab 1 (Concon 3 (Input 1)) -}
  [[<, c, a], [c, a, c], [a, c, a], [c, a, a], [a, a, >]] -> [ [<, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , > ] ] {- Semlab 1 (Concon 4 (Input 1)) -}
  [[<, c, a], [c, a, c], [a, c, a], [c, a, a], [a, a, c]] -> [ [<, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , c ] ] {- Semlab 1 (Concon 5 (Input 1)) -}
  [[<, c, a], [c, a, c], [a, c, a], [c, a, a], [a, a, a]] -> [ [<, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , a ] ] {- Semlab 1 (Concon 6 (Input 1)) -}
  [[<, a, a], [a, a, c], [a, c, a], [c, a, >], [a, >, >]] -> [ [<, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, >] , [ a , > , > ] ] {- Semlab 2 (Concon 0 (Input 1)) -}
  [[<, a, a], [a, a, c], [a, c, a], [c, a, c], [a, c, >]] -> [ [<, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , > ] ] {- Semlab 2 (Concon 1 (Input 1)) -}
  [[<, a, a], [a, a, c], [a, c, a], [c, a, c], [a, c, c]] -> [ [<, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , c ] ] {- Semlab 2 (Concon 2 (Input 1)) -}
  [[<, a, a], [a, a, c], [a, c, a], [c, a, c], [a, c, a]] -> [ [<, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , a ] ] {- Semlab 2 (Concon 3 (Input 1)) -}
  [[<, a, a], [a, a, c], [a, c, a], [c, a, a], [a, a, >]] -> [ [<, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , > ] ] {- Semlab 2 (Concon 4 (Input 1)) -}
  [[<, a, a], [a, a, c], [a, c, a], [c, a, a], [a, a, c]] -> [ [<, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , c ] ] {- Semlab 2 (Concon 5 (Input 1)) -}
  [[<, a, a], [a, a, c], [a, c, a], [c, a, a], [a, a, a]] -> [ [<, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , a ] ] {- Semlab 2 (Concon 6 (Input 1)) -}
  [[c, c, a], [c, a, c], [a, c, a], [c, a, >], [a, >, >]] -> [ [c, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, >] , [ a , > , > ] ] {- Semlab 3 (Concon 0 (Input 1)) -}
  [[c, c, a], [c, a, c], [a, c, a], [c, a, c], [a, c, >]] -> [ [c, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , > ] ] {- Semlab 3 (Concon 1 (Input 1)) -}
  [[c, c, a], [c, a, c], [a, c, a], [c, a, c], [a, c, c]] -> [ [c, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , c ] ] {- Semlab 3 (Concon 2 (Input 1)) -}
  [[c, c, a], [c, a, c], [a, c, a], [c, a, c], [a, c, a]] -> [ [c, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , a ] ] {- Semlab 3 (Concon 3 (Input 1)) -}
  [[c, c, a], [c, a, c], [a, c, a], [c, a, a], [a, a, >]] -> [ [c, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , > ] ] {- Semlab 3 (Concon 4 (Input 1)) -}
  [[c, c, a], [c, a, c], [a, c, a], [c, a, a], [a, a, c]] -> [ [c, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , c ] ] {- Semlab 3 (Concon 5 (Input 1)) -}
  [[c, c, a], [c, a, c], [a, c, a], [c, a, a], [a, a, a]] -> [ [c, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , a ] ] {- Semlab 3 (Concon 6 (Input 1)) -}
  [[c, a, a], [a, a, c], [a, c, a], [c, a, >], [a, >, >]] -> [ [c, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, >] , [ a , > , > ] ] {- Semlab 4 (Concon 0 (Input 1)) -}
  [[c, a, a], [a, a, c], [a, c, a], [c, a, c], [a, c, >]] -> [ [c, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , > ] ] {- Semlab 4 (Concon 1 (Input 1)) -}
  [[c, a, a], [a, a, c], [a, c, a], [c, a, c], [a, c, c]] -> [ [c, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , c ] ] {- Semlab 4 (Concon 2 (Input 1)) -}
  [[c, a, a], [a, a, c], [a, c, a], [c, a, c], [a, c, a]] -> [ [c, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , a ] ] {- Semlab 4 (Concon 3 (Input 1)) -}
  [[c, a, a], [a, a, c], [a, c, a], [c, a, a], [a, a, >]] -> [ [c, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , > ] ] {- Semlab 4 (Concon 4 (Input 1)) -}
  [[c, a, a], [a, a, c], [a, c, a], [c, a, a], [a, a, c]] -> [ [c, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , c ] ] {- Semlab 4 (Concon 5 (Input 1)) -}
  [[c, a, a], [a, a, c], [a, c, a], [c, a, a], [a, a, a]] -> [ [c, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , a ] ] {- Semlab 4 (Concon 6 (Input 1)) -}
  [[a, c, a], [c, a, c], [a, c, a], [c, a, >], [a, >, >]] -> [ [a, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, >] , [ a , > , > ] ] {- Semlab 5 (Concon 0 (Input 1)) -}
  [[a, c, a], [c, a, c], [a, c, a], [c, a, c], [a, c, >]] -> [ [a, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , > ] ] {- Semlab 5 (Concon 1 (Input 1)) -}
  [[a, c, a], [c, a, c], [a, c, a], [c, a, c], [a, c, c]] -> [ [a, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , c ] ] {- Semlab 5 (Concon 2 (Input 1)) -}
  [[a, c, a], [c, a, c], [a, c, a], [c, a, c], [a, c, a]] -> [ [a, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , a ] ] {- Semlab 5 (Concon 3 (Input 1)) -}
  [[a, c, a], [c, a, c], [a, c, a], [c, a, a], [a, a, >]] -> [ [a, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , > ] ] {- Semlab 5 (Concon 4 (Input 1)) -}
  [[a, c, a], [c, a, c], [a, c, a], [c, a, a], [a, a, c]] -> [ [a, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , c ] ] {- Semlab 5 (Concon 5 (Input 1)) -}
  [[a, c, a], [c, a, c], [a, c, a], [c, a, a], [a, a, a]] -> [ [a, c, a] , [c, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , a ] ] {- Semlab 5 (Concon 6 (Input 1)) -}
  [[a, a, a], [a, a, c], [a, c, a], [c, a, >], [a, >, >]] -> [ [a, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, >] , [ a , > , > ] ] {- Semlab 6 (Concon 0 (Input 1)) -}
  [[a, a, a], [a, a, c], [a, c, a], [c, a, c], [a, c, >]] -> [ [a, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , > ] ] {- Semlab 6 (Concon 1 (Input 1)) -}
  [[a, a, a], [a, a, c], [a, c, a], [c, a, c], [a, c, c]] -> [ [a, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , c ] ] {- Semlab 6 (Concon 2 (Input 1)) -}
  [[a, a, a], [a, a, c], [a, c, a], [c, a, c], [a, c, a]] -> [ [a, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, c] , [ a , c , a ] ] {- Semlab 6 (Concon 3 (Input 1)) -}
  [[a, a, a], [a, a, c], [a, c, a], [c, a, a], [a, a, >]] -> [ [a, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , > ] ] {- Semlab 6 (Concon 4 (Input 1)) -}
  [[a, a, a], [a, a, c], [a, c, a], [c, a, a], [a, a, c]] -> [ [a, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , c ] ] {- Semlab 6 (Concon 5 (Input 1)) -}
  [[a, a, a], [a, a, c], [a, c, a], [c, a, a], [a, a, a]] -> [ [a, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [a, a, a] , [ a , a , a ] ] {- Semlab 6 (Concon 6 (Input 1)) -}
  [[<, <, >], [<, >, >]] ->= [ [<, <, c] , [<, c, c] , [c, c, c] , [c, c, c] , [c, c, >] , [c, >, >] ] {- Semlab 0 (Concon 0 (Input 2)) -}
  [[<, <, c], [<, c, >]] ->= [ [<, <, c] , [<, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, >] ] {- Semlab 0 (Concon 1 (Input 2)) -}
  [[<, <, c], [<, c, c]] ->= [ [<, <, c] , [<, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] ] {- Semlab 0 (Concon 2 (Input 2)) -}
  [[<, <, c], [<, c, a]] ->= [ [<, <, c] , [<, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] ] {- Semlab 0 (Concon 3 (Input 2)) -}
  [[<, <, a], [<, a, >]] ->= [ [<, <, c] , [<, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, >] ] {- Semlab 0 (Concon 4 (Input 2)) -}
  [[<, <, a], [<, a, c]] ->= [ [<, <, c] , [<, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, c] ] {- Semlab 0 (Concon 5 (Input 2)) -}
  [[<, <, a], [<, a, a]] ->= [ [<, <, c] , [<, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, a] ] {- Semlab 0 (Concon 6 (Input 2)) -}
  [[<, c, >], [c, >, >]] ->= [ [<, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, >] , [c, >, >] ] {- Semlab 1 (Concon 0 (Input 2)) -}
  [[<, c, c], [c, c, >]] ->= [ [<, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, >] ] {- Semlab 1 (Concon 1 (Input 2)) -}
  [[<, c, c], [c, c, c]] ->= [ [<, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] ] {- Semlab 1 (Concon 2 (Input 2)) -}
  [[<, c, c], [c, c, a]] ->= [ [<, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] ] {- Semlab 1 (Concon 3 (Input 2)) -}
  [[<, c, a], [c, a, >]] ->= [ [<, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, >] ] {- Semlab 1 (Concon 4 (Input 2)) -}
  [[<, c, a], [c, a, c]] ->= [ [<, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, c] ] {- Semlab 1 (Concon 5 (Input 2)) -}
  [[<, c, a], [c, a, a]] ->= [ [<, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, a] ] {- Semlab 1 (Concon 6 (Input 2)) -}
  [[<, a, >], [a, >, >]] ->= [ [<, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, >] , [c, >, >] ] {- Semlab 2 (Concon 0 (Input 2)) -}
  [[<, a, c], [a, c, >]] ->= [ [<, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, >] ] {- Semlab 2 (Concon 1 (Input 2)) -}
  [[<, a, c], [a, c, c]] ->= [ [<, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] ] {- Semlab 2 (Concon 2 (Input 2)) -}
  [[<, a, c], [a, c, a]] ->= [ [<, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] ] {- Semlab 2 (Concon 3 (Input 2)) -}
  [[<, a, a], [a, a, >]] ->= [ [<, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, >] ] {- Semlab 2 (Concon 4 (Input 2)) -}
  [[<, a, a], [a, a, c]] ->= [ [<, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, c] ] {- Semlab 2 (Concon 5 (Input 2)) -}
  [[<, a, a], [a, a, a]] ->= [ [<, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, a] ] {- Semlab 2 (Concon 6 (Input 2)) -}
  [[c, c, >], [c, >, >]] ->= [ [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, >] , [c, >, >] ] {- Semlab 3 (Concon 0 (Input 2)) -}
  [[c, c, c], [c, c, >]] ->= [ [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, >] ] {- Semlab 3 (Concon 1 (Input 2)) -}
  [[c, c, c], [c, c, c]] ->= [ [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] ] {- Semlab 3 (Concon 2 (Input 2)) -}
  [[c, c, c], [c, c, a]] ->= [ [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] ] {- Semlab 3 (Concon 3 (Input 2)) -}
  [[c, c, a], [c, a, >]] ->= [ [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, >] ] {- Semlab 3 (Concon 4 (Input 2)) -}
  [[c, c, a], [c, a, c]] ->= [ [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, c] ] {- Semlab 3 (Concon 5 (Input 2)) -}
  [[c, c, a], [c, a, a]] ->= [ [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, a] ] {- Semlab 3 (Concon 6 (Input 2)) -}
  [[c, a, >], [a, >, >]] ->= [ [c, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, >] , [c, >, >] ] {- Semlab 4 (Concon 0 (Input 2)) -}
  [[c, a, c], [a, c, >]] ->= [ [c, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, >] ] {- Semlab 4 (Concon 1 (Input 2)) -}
  [[c, a, c], [a, c, c]] ->= [ [c, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] ] {- Semlab 4 (Concon 2 (Input 2)) -}
  [[c, a, c], [a, c, a]] ->= [ [c, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] ] {- Semlab 4 (Concon 3 (Input 2)) -}
  [[c, a, a], [a, a, >]] ->= [ [c, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, >] ] {- Semlab 4 (Concon 4 (Input 2)) -}
  [[c, a, a], [a, a, c]] ->= [ [c, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, c] ] {- Semlab 4 (Concon 5 (Input 2)) -}
  [[c, a, a], [a, a, a]] ->= [ [c, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, a] ] {- Semlab 4 (Concon 6 (Input 2)) -}
  [[a, c, >], [c, >, >]] ->= [ [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, >] , [c, >, >] ] {- Semlab 5 (Concon 0 (Input 2)) -}
  [[a, c, c], [c, c, >]] ->= [ [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, >] ] {- Semlab 5 (Concon 1 (Input 2)) -}
  [[a, c, c], [c, c, c]] ->= [ [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] ] {- Semlab 5 (Concon 2 (Input 2)) -}
  [[a, c, c], [c, c, a]] ->= [ [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] ] {- Semlab 5 (Concon 3 (Input 2)) -}
  [[a, c, a], [c, a, >]] ->= [ [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, >] ] {- Semlab 5 (Concon 4 (Input 2)) -}
  [[a, c, a], [c, a, c]] ->= [ [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, c] ] {- Semlab 5 (Concon 5 (Input 2)) -}
  [[a, c, a], [c, a, a]] ->= [ [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, a] ] {- Semlab 5 (Concon 6 (Input 2)) -}
  [[a, a, >], [a, >, >]] ->= [ [a, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, >] , [c, >, >] ] {- Semlab 6 (Concon 0 (Input 2)) -}
  [[a, a, c], [a, c, >]] ->= [ [a, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, >] ] {- Semlab 6 (Concon 1 (Input 2)) -}
  [[a, a, c], [a, c, c]] ->= [ [a, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] ] {- Semlab 6 (Concon 2 (Input 2)) -}
  [[a, a, c], [a, c, a]] ->= [ [a, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] ] {- Semlab 6 (Concon 3 (Input 2)) -}
  [[a, a, a], [a, a, >]] ->= [ [a, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, >] ] {- Semlab 6 (Concon 4 (Input 2)) -}
  [[a, a, a], [a, a, c]] ->= [ [a, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, c] ] {- Semlab 6 (Concon 5 (Input 2)) -}
  [[a, a, a], [a, a, a]] ->= [ [a, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, a] ] {- Semlab 6 (Concon 6 (Input 2)) -}
reason
  ([<, c, a], 728/3)
  ([c, a, c], 17/1)
  ([a, c, >], 728/3)
  ([<, <, >], 69/2)
  ([<, >, >], 69/2)
  ([a, c, c], 17/1)
  ([<, c, >], 69/1)
  ([c, c, a], 17/1)
  ([a, c, a], 1876/3)
  ([<, <, a], 104/1)
  ([<, a, >], 208/3)
  ([c, a, a], 69/2)
  ([<, a, a], 416/3)
  ([a, >, >], 104/1)
  ([a, a, >], 416/3)
  ([a, a, c], 69/2)
  ([a, a, a], 520/3)
   property Termination
has value Just True
for SRS
  [[<, <, c], [<, c, c]] ->= [ [<, <, c] , [<, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] ] {- Semlab 0 (Concon 2 (Input 2)) -}
  [[<, c, c], [c, c, >]] ->= [ [<, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, >] ] {- Semlab 1 (Concon 1 (Input 2)) -}
  [[<, c, c], [c, c, c]] ->= [ [<, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] ] {- Semlab 1 (Concon 2 (Input 2)) -}
  [[<, c, c], [c, c, a]] ->= [ [<, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] ] {- Semlab 1 (Concon 3 (Input 2)) -}
  [[<, a, c], [a, c, c]] ->= [ [<, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] ] {- Semlab 2 (Concon 2 (Input 2)) -}
  [[c, c, >], [c, >, >]] ->= [ [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, >] , [c, >, >] ] {- Semlab 3 (Concon 0 (Input 2)) -}
  [[c, c, c], [c, c, >]] ->= [ [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, >] ] {- Semlab 3 (Concon 1 (Input 2)) -}
  [[c, c, c], [c, c, c]] ->= [ [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] ] {- Semlab 3 (Concon 2 (Input 2)) -}
  [[c, c, c], [c, c, a]] ->= [ [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] ] {- Semlab 3 (Concon 3 (Input 2)) -}
  [[c, c, a], [c, a, >]] ->= [ [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, >] ] {- Semlab 3 (Concon 4 (Input 2)) -}
  [[c, c, a], [c, a, c]] ->= [ [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, c] ] {- Semlab 3 (Concon 5 (Input 2)) -}
  [[c, c, a], [c, a, a]] ->= [ [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] , [c, a, a] ] {- Semlab 3 (Concon 6 (Input 2)) -}
  [[c, a, c], [a, c, c]] ->= [ [c, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] ] {- Semlab 4 (Concon 2 (Input 2)) -}
  [[a, c, c], [c, c, >]] ->= [ [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, >] ] {- Semlab 5 (Concon 1 (Input 2)) -}
  [[a, c, c], [c, c, c]] ->= [ [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] ] {- Semlab 5 (Concon 2 (Input 2)) -}
  [[a, c, c], [c, c, a]] ->= [ [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, a] ] {- Semlab 5 (Concon 3 (Input 2)) -}
  [[a, a, c], [a, c, c]] ->= [ [a, a, c] , [a, c, c] , [c, c, c] , [c, c, c] , [c, c, c] , [c, c, c] ] {- Semlab 6 (Concon 2 (Input 2)) -}
reason
  no strict rules

**************************************************
skeleton: (2/1,2)\TileAllROC{3}(98/49,24)\Weight(0/17,12)[]
**************************************************
let {}
in let {done = Worker No_Strict_Rules;mo = Pre (Or_Else Count (IfSizeLeq 100000 GLPK Fail));wop = Or_Else (Worker (Weight {modus = mo})) Pass;weighted = \ m -> And_Then m wop;when_small = \ m -> And_Then (Worker (SizeAtmost 100)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;tiling = \ m w -> weighted (And_Then (Worker (Tiling {method = m,width = w,tracing = True})) (Worker Remap));matrix = \ mo dom dim bits -> when_small (weighted (Worker (Matrix {monotone = mo,domain = dom,dim = dim,bits = bits,shape = Corner})));kbo = \ b -> when_medium (weighted (Worker (KBO {bits = b,solver = Minisatapi})));yeah = Apply wop (Tree_Search_Preemptive 0 done ([ ] <> ([ kbo 1, And_Then (Worker Mirror) (kbo 1)] <> ((for [ 3, 4] (\ d -> matrix Strict Natural d 3)) <> (for [ 2, 3, 5] (\ w -> tiling Overlap w))))));noh = [ Timeout 5 (Worker (Enumerate {closure = Forward})), Timeout 5 (Worker (Enumerate {closure = Backward}))]}
  in Apply (Worker Remap) (First_Of ([ yeah] <> noh))