/export/starexec/sandbox/solver/bin/starexec_run_tc21-9.sh /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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


YES
**************************************************
summary
**************************************************
SRS with 4 rules on 3 letters       mirror
SRS with 4 rules on 3 letters       DP
SRS with 5 strict rules and 4 weak rules on 6 letters       weights
SRS with 3 strict rules and 4 weak rules on 5 letters       EDG
SRS with 3 strict rules and 4 weak rules on 5 letters       tile all, by Config   { method = Overlap,width = 2,unlabel = True}
SRS with 12 strict rules and 96 weak rules on 26 letters       weights
SRS with 0 strict rules and 13 weak rules on 10 letters       no strict rules

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [a] -> [] {- Input 0 -}
  [a] -> [b, b] {- Input 1 -}
  [a, b] -> [a, c, a, c] {- Input 2 -}
  [c, c] -> [] {- Input 3 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [a] -> [] {- Mirror (Input 0) -}
  [a] -> [b, b] {- Mirror (Input 1) -}
  [b, a] -> [c, a, c, a] {- Mirror (Input 2) -}
  [c, c] -> [] {- Mirror (Input 3) -}
reason
  DP
   property Termination
has value Just True
for SRS
  [a] ->= [] {- DP Nontop (Mirror (Input 0)) -}
  [a] ->= [b, b] {- DP Nontop (Mirror (Input 1)) -}
  [b, a] ->= [c, a, c, a] {- DP Nontop (Mirror (Input 2)) -}
  [c, c] ->= [] {- DP Nontop (Mirror (Input 3)) -}
  [a#] |-> [b#] {- DP (Top 1) (Mirror (Input 1)) -}
  [a#] |-> [b#, b] {- DP (Top 0) (Mirror (Input 1)) -}
  [b#, a] |-> [a#, c, a] {- DP (Top 1) (Mirror (Input 2)) -}
  [b#, a] |-> [c#, a] {- DP (Top 2) (Mirror (Input 2)) -}
  [b#, a] |-> [c#, a, c, a] {- DP (Top 0) (Mirror (Input 2)) -}
reason
  (a#, 1/2)
  (b#, 1/2)
   property Termination
has value Just True
for SRS
  [a] ->= [] {- DP Nontop (Mirror (Input 0)) -}
  [a] ->= [b, b] {- DP Nontop (Mirror (Input 1)) -}
  [b, a] ->= [c, a, c, a] {- DP Nontop (Mirror (Input 2)) -}
  [c, c] ->= [] {- DP Nontop (Mirror (Input 3)) -}
  [a#] |-> [b#] {- DP (Top 1) (Mirror (Input 1)) -}
  [a#] |-> [b#, b] {- DP (Top 0) (Mirror (Input 1)) -}
  [b#, a] |-> [a#, c, a] {- DP (Top 1) (Mirror (Input 2)) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [a#] |-> [b#] {- DP (Top 1) (Mirror (Input 1)) -}
  [b#, a] |-> [a#, c, a] {- DP (Top 1) (Mirror (Input 2)) -}
  [a#] |-> [b#, b] {- DP (Top 0) (Mirror (Input 1)) -}
  [a] ->= [] {- DP Nontop (Mirror (Input 0)) -}
  [a] ->= [b, b] {- DP Nontop (Mirror (Input 1)) -}
  [b, a] ->= [c, a, c, a] {- DP Nontop (Mirror (Input 2)) -}
  [c, c] ->= [] {- DP Nontop (Mirror (Input 3)) -}
reason
  Tiling   { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, unlabel = True, print_completion_steps = False, print_tiles = False, max_num_tiles = Just 1000, max_num_rules = Just 100000, verbose = False, tracing = False}
  steps 2
  using 26 tiles
  tile all rules
  steps: 2
  
   property Termination
has value Just True
for SRS
  [[<, a#], [a#, >]] |-> [ [<, b#] , [ b# , > ] ] {- Semlab 0 (Concon 0 (DP (Top 1) (Mirror (Input 1)))) -}
  [[<, a#], [a#, a]] |-> [ [<, b#] , [ b# , a ] ] {- Semlab 0 (Concon 1 (DP (Top 1) (Mirror (Input 1)))) -}
  [[<, a#], [a#, b]] |-> [ [<, b#] , [ b# , b ] ] {- Semlab 0 (Concon 2 (DP (Top 1) (Mirror (Input 1)))) -}
  [[<, a#], [a#, c]] |-> [ [<, b#] , [ b# , c ] ] {- Semlab 0 (Concon 3 (DP (Top 1) (Mirror (Input 1)))) -}
  [[<, b#], [b#, a], [a, >]] |-> [ [<, a#] , [a#, c] , [c, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (DP (Top 1) (Mirror (Input 2)))) -}
  [[<, b#], [b#, a], [a, a]] |-> [ [<, a#] , [a#, c] , [c, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (DP (Top 1) (Mirror (Input 2)))) -}
  [[<, b#], [b#, a], [a, b]] |-> [ [<, a#] , [a#, c] , [c, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (DP (Top 1) (Mirror (Input 2)))) -}
  [[<, b#], [b#, a], [a, c]] |-> [ [<, a#] , [a#, c] , [c, a] , [ a , c ] ] {- Semlab 0 (Concon 3 (DP (Top 1) (Mirror (Input 2)))) -}
  [[<, a#], [a#, >]] |-> [ [<, b#] , [b#, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (DP (Top 0) (Mirror (Input 1)))) -}
  [[<, a#], [a#, a]] |-> [ [<, b#] , [b#, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (DP (Top 0) (Mirror (Input 1)))) -}
  [[<, a#], [a#, b]] |-> [ [<, b#] , [b#, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (DP (Top 0) (Mirror (Input 1)))) -}
  [[<, a#], [a#, c]] |-> [ [<, b#] , [b#, b] , [ b , c ] ] {- Semlab 0 (Concon 3 (DP (Top 0) (Mirror (Input 1)))) -}
  [[<, a], [a, >]] ->= [ [ < , > ] ] {- Semlab 0 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[<, a], [a, a]] ->= [ [ < , a ] ] {- Semlab 0 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[<, a], [a, b]] ->= [ [ < , b ] ] {- Semlab 0 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[<, a], [a, c]] ->= [ [ < , c ] ] {- Semlab 0 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, >]] ->= [ [ a , > ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, a]] ->= [ [ a , a ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, b]] ->= [ [ a , b ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, c]] ->= [ [ a , c ] ] {- Semlab 1 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, >]] ->= [ [ b , > ] ] {- Semlab 2 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, a]] ->= [ [ b , a ] ] {- Semlab 2 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, b]] ->= [ [ b , b ] ] {- Semlab 2 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, c]] ->= [ [ b , c ] ] {- Semlab 2 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, >]] ->= [ [ c , > ] ] {- Semlab 3 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, a]] ->= [ [ c , a ] ] {- Semlab 3 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, b]] ->= [ [ c , b ] ] {- Semlab 3 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, c]] ->= [ [ c , c ] ] {- Semlab 3 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[a#, a], [a, >]] ->= [ [ a# , > ] ] {- Semlab 4 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[a#, a], [a, a]] ->= [ [ a# , a ] ] {- Semlab 4 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[a#, a], [a, b]] ->= [ [ a# , b ] ] {- Semlab 4 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[a#, a], [a, c]] ->= [ [ a# , c ] ] {- Semlab 4 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[b#, a], [a, >]] ->= [ [ b# , > ] ] {- Semlab 5 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[b#, a], [a, a]] ->= [ [ b# , a ] ] {- Semlab 5 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[b#, a], [a, b]] ->= [ [ b# , b ] ] {- Semlab 5 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[b#, a], [a, c]] ->= [ [ b# , c ] ] {- Semlab 5 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[<, a], [a, >]] ->= [ [<, b] , [b, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[<, a], [a, a]] ->= [ [<, b] , [b, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[<, a], [a, b]] ->= [ [<, b] , [b, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (DP Nontop (Mirror (Input 1)))) -}
  [[<, a], [a, c]] ->= [ [<, b] , [b, b] , [ b , c ] ] {- Semlab 0 (Concon 3 (DP Nontop (Mirror (Input 1)))) -}
  [[a, a], [a, >]] ->= [ [a, b] , [b, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[a, a], [a, a]] ->= [ [a, b] , [b, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[a, a], [a, b]] ->= [ [a, b] , [b, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 1)))) -}
  [[a, a], [a, c]] ->= [ [a, b] , [b, b] , [ b , c ] ] {- Semlab 1 (Concon 3 (DP Nontop (Mirror (Input 1)))) -}
  [[b, a], [a, >]] ->= [ [b, b] , [b, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[b, a], [a, a]] ->= [ [b, b] , [b, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[b, a], [a, b]] ->= [ [b, b] , [b, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (DP Nontop (Mirror (Input 1)))) -}
  [[b, a], [a, c]] ->= [ [b, b] , [b, b] , [ b , c ] ] {- Semlab 2 (Concon 3 (DP Nontop (Mirror (Input 1)))) -}
  [[c, a], [a, >]] ->= [ [c, b] , [b, b] , [ b , > ] ] {- Semlab 3 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[c, a], [a, a]] ->= [ [c, b] , [b, b] , [ b , a ] ] {- Semlab 3 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[c, a], [a, b]] ->= [ [c, b] , [b, b] , [ b , b ] ] {- Semlab 3 (Concon 2 (DP Nontop (Mirror (Input 1)))) -}
  [[c, a], [a, c]] ->= [ [c, b] , [b, b] , [ b , c ] ] {- Semlab 3 (Concon 3 (DP Nontop (Mirror (Input 1)))) -}
  [[a#, a], [a, >]] ->= [ [a#, b] , [b, b] , [ b , > ] ] {- Semlab 4 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[a#, a], [a, a]] ->= [ [a#, b] , [b, b] , [ b , a ] ] {- Semlab 4 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[a#, a], [a, b]] ->= [ [a#, b] , [b, b] , [ b , b ] ] {- Semlab 4 (Concon 2 (DP Nontop (Mirror (Input 1)))) -}
  [[a#, a], [a, c]] ->= [ [a#, b] , [b, b] , [ b , c ] ] {- Semlab 4 (Concon 3 (DP Nontop (Mirror (Input 1)))) -}
  [[b#, a], [a, >]] ->= [ [b#, b] , [b, b] , [ b , > ] ] {- Semlab 5 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[b#, a], [a, a]] ->= [ [b#, b] , [b, b] , [ b , a ] ] {- Semlab 5 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[b#, a], [a, b]] ->= [ [b#, b] , [b, b] , [ b , b ] ] {- Semlab 5 (Concon 2 (DP Nontop (Mirror (Input 1)))) -}
  [[b#, a], [a, c]] ->= [ [b#, b] , [b, b] , [ b , c ] ] {- Semlab 5 (Concon 3 (DP Nontop (Mirror (Input 1)))) -}
  [[<, b], [b, a], [a, >]] ->= [ [<, c] , [c, a] , [a, c] , [c, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[<, b], [b, a], [a, a]] ->= [ [<, c] , [c, a] , [a, c] , [c, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (DP Nontop (Mirror (Input 2)))) -}
  [[<, b], [b, a], [a, b]] ->= [ [<, c] , [c, a] , [a, c] , [c, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[<, b], [b, a], [a, c]] ->= [ [<, c] , [c, a] , [a, c] , [c, a] , [ a , c ] ] {- Semlab 0 (Concon 3 (DP Nontop (Mirror (Input 2)))) -}
  [[a, b], [b, a], [a, >]] ->= [ [a, c] , [c, a] , [a, c] , [c, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[a, b], [b, a], [a, a]] ->= [ [a, c] , [c, a] , [a, c] , [c, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 2)))) -}
  [[a, b], [b, a], [a, b]] ->= [ [a, c] , [c, a] , [a, c] , [c, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[a, b], [b, a], [a, c]] ->= [ [a, c] , [c, a] , [a, c] , [c, a] , [ a , c ] ] {- Semlab 1 (Concon 3 (DP Nontop (Mirror (Input 2)))) -}
  [[b, b], [b, a], [a, >]] ->= [ [b, c] , [c, a] , [a, c] , [c, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[b, b], [b, a], [a, a]] ->= [ [b, c] , [c, a] , [a, c] , [c, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (DP Nontop (Mirror (Input 2)))) -}
  [[b, b], [b, a], [a, b]] ->= [ [b, c] , [c, a] , [a, c] , [c, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[b, b], [b, a], [a, c]] ->= [ [b, c] , [c, a] , [a, c] , [c, a] , [ a , c ] ] {- Semlab 2 (Concon 3 (DP Nontop (Mirror (Input 2)))) -}
  [[c, b], [b, a], [a, >]] ->= [ [c, c] , [c, a] , [a, c] , [c, a] , [ a , > ] ] {- Semlab 3 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[c, b], [b, a], [a, a]] ->= [ [c, c] , [c, a] , [a, c] , [c, a] , [ a , a ] ] {- Semlab 3 (Concon 1 (DP Nontop (Mirror (Input 2)))) -}
  [[c, b], [b, a], [a, b]] ->= [ [c, c] , [c, a] , [a, c] , [c, a] , [ a , b ] ] {- Semlab 3 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[c, b], [b, a], [a, c]] ->= [ [c, c] , [c, a] , [a, c] , [c, a] , [ a , c ] ] {- Semlab 3 (Concon 3 (DP Nontop (Mirror (Input 2)))) -}
  [[a#, b], [b, a], [a, >]] ->= [ [a#, c] , [c, a] , [a, c] , [c, a] , [ a , > ] ] {- Semlab 4 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[a#, b], [b, a], [a, a]] ->= [ [a#, c] , [c, a] , [a, c] , [c, a] , [ a , a ] ] {- Semlab 4 (Concon 1 (DP Nontop (Mirror (Input 2)))) -}
  [[a#, b], [b, a], [a, b]] ->= [ [a#, c] , [c, a] , [a, c] , [c, a] , [ a , b ] ] {- Semlab 4 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[a#, b], [b, a], [a, c]] ->= [ [a#, c] , [c, a] , [a, c] , [c, a] , [ a , c ] ] {- Semlab 4 (Concon 3 (DP Nontop (Mirror (Input 2)))) -}
  [[b#, b], [b, a], [a, >]] ->= [ [b#, c] , [c, a] , [a, c] , [c, a] , [ a , > ] ] {- Semlab 5 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[b#, b], [b, a], [a, a]] ->= [ [b#, c] , [c, a] , [a, c] , [c, a] , [ a , a ] ] {- Semlab 5 (Concon 1 (DP Nontop (Mirror (Input 2)))) -}
  [[b#, b], [b, a], [a, b]] ->= [ [b#, c] , [c, a] , [a, c] , [c, a] , [ a , b ] ] {- Semlab 5 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[b#, b], [b, a], [a, c]] ->= [ [b#, c] , [c, a] , [a, c] , [c, a] , [ a , c ] ] {- Semlab 5 (Concon 3 (DP Nontop (Mirror (Input 2)))) -}
  [[<, c], [c, c], [c, >]] ->= [ [ < , > ] ] {- Semlab 0 (Concon 0 (DP Nontop (Mirror (Input 3)))) -}
  [[<, c], [c, c], [c, a]] ->= [ [ < , a ] ] {- Semlab 0 (Concon 1 (DP Nontop (Mirror (Input 3)))) -}
  [[<, c], [c, c], [c, b]] ->= [ [ < , b ] ] {- Semlab 0 (Concon 2 (DP Nontop (Mirror (Input 3)))) -}
  [[<, c], [c, c], [c, c]] ->= [ [ < , c ] ] {- Semlab 0 (Concon 3 (DP Nontop (Mirror (Input 3)))) -}
  [[a, c], [c, c], [c, >]] ->= [ [ a , > ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 3)))) -}
  [[a, c], [c, c], [c, a]] ->= [ [ a , a ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 3)))) -}
  [[a, c], [c, c], [c, b]] ->= [ [ a , b ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 3)))) -}
  [[a, c], [c, c], [c, c]] ->= [ [ a , c ] ] {- Semlab 1 (Concon 3 (DP Nontop (Mirror (Input 3)))) -}
  [[b, c], [c, c], [c, >]] ->= [ [ b , > ] ] {- Semlab 2 (Concon 0 (DP Nontop (Mirror (Input 3)))) -}
  [[b, c], [c, c], [c, a]] ->= [ [ b , a ] ] {- Semlab 2 (Concon 1 (DP Nontop (Mirror (Input 3)))) -}
  [[b, c], [c, c], [c, b]] ->= [ [ b , b ] ] {- Semlab 2 (Concon 2 (DP Nontop (Mirror (Input 3)))) -}
  [[b, c], [c, c], [c, c]] ->= [ [ b , c ] ] {- Semlab 2 (Concon 3 (DP Nontop (Mirror (Input 3)))) -}
  [[c, c], [c, c], [c, >]] ->= [ [ c , > ] ] {- Semlab 3 (Concon 0 (DP Nontop (Mirror (Input 3)))) -}
  [[c, c], [c, c], [c, a]] ->= [ [ c , a ] ] {- Semlab 3 (Concon 1 (DP Nontop (Mirror (Input 3)))) -}
  [[c, c], [c, c], [c, b]] ->= [ [ c , b ] ] {- Semlab 3 (Concon 2 (DP Nontop (Mirror (Input 3)))) -}
  [[c, c], [c, c], [c, c]] ->= [ [ c , c ] ] {- Semlab 3 (Concon 3 (DP Nontop (Mirror (Input 3)))) -}
  [[a#, c], [c, c], [c, >]] ->= [ [ a# , > ] ] {- Semlab 4 (Concon 0 (DP Nontop (Mirror (Input 3)))) -}
  [[a#, c], [c, c], [c, a]] ->= [ [ a# , a ] ] {- Semlab 4 (Concon 1 (DP Nontop (Mirror (Input 3)))) -}
  [[a#, c], [c, c], [c, b]] ->= [ [ a# , b ] ] {- Semlab 4 (Concon 2 (DP Nontop (Mirror (Input 3)))) -}
  [[a#, c], [c, c], [c, c]] ->= [ [ a# , c ] ] {- Semlab 4 (Concon 3 (DP Nontop (Mirror (Input 3)))) -}
  [[b#, c], [c, c], [c, >]] ->= [ [ b# , > ] ] {- Semlab 5 (Concon 0 (DP Nontop (Mirror (Input 3)))) -}
  [[b#, c], [c, c], [c, a]] ->= [ [ b# , a ] ] {- Semlab 5 (Concon 1 (DP Nontop (Mirror (Input 3)))) -}
  [[b#, c], [c, c], [c, b]] ->= [ [ b# , b ] ] {- Semlab 5 (Concon 2 (DP Nontop (Mirror (Input 3)))) -}
  [[b#, c], [c, c], [c, c]] ->= [ [ b# , c ] ] {- Semlab 5 (Concon 3 (DP Nontop (Mirror (Input 3)))) -}
reason
  ([<, a#], 101/6)
  ([a#, >], 125/6)
  ([<, b#], 2/1)
  ([a#, a], 95/2)
  ([b#, a], 97/2)
  ([a#, b], 5/1)
  ([b#, b], 3/1)
  ([a#, c], 101/6)
  ([b#, c], 107/6)
  ([a, >], 119/6)
  ([c, a], 95/6)
  ([a, a], 32/1)
  ([a, b], 95/6)
  ([a, c], 1/6)
  ([b, >], 95/3)
  ([b, a], 143/3)
  ([b, c], 95/6)
  ([<, a], 191/6)
  ([<, b], 1/1)
  ([<, c], 1/1)
  ([c, >], 10/1)
  ([c, b], 1/6)
  ([c, c], 16/1)
   property Termination
has value Just True
for SRS
  [[c, a], [a, c]] ->= [ [ c , c ] ] {- Semlab 3 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, a]] ->= [ [c, b] , [b, b] , [ b , a ] ] {- Semlab 3 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[c, a], [a, c]] ->= [ [c, b] , [b, b] , [ b , c ] ] {- Semlab 3 (Concon 3 (DP Nontop (Mirror (Input 1)))) -}
  [[b, b], [b, a], [a, >]] ->= [ [b, c] , [c, a] , [a, c] , [c, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[b, b], [b, a], [a, a]] ->= [ [b, c] , [c, a] , [a, c] , [c, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (DP Nontop (Mirror (Input 2)))) -}
  [[b, b], [b, a], [a, b]] ->= [ [b, c] , [c, a] , [a, c] , [c, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[b, b], [b, a], [a, c]] ->= [ [b, c] , [c, a] , [a, c] , [c, a] , [ a , c ] ] {- Semlab 2 (Concon 3 (DP Nontop (Mirror (Input 2)))) -}
  [[c, b], [b, a], [a, >]] ->= [ [c, c] , [c, a] , [a, c] , [c, a] , [ a , > ] ] {- Semlab 3 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[c, b], [b, a], [a, a]] ->= [ [c, c] , [c, a] , [a, c] , [c, a] , [ a , a ] ] {- Semlab 3 (Concon 1 (DP Nontop (Mirror (Input 2)))) -}
  [[c, b], [b, a], [a, b]] ->= [ [c, c] , [c, a] , [a, c] , [c, a] , [ a , b ] ] {- Semlab 3 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[c, b], [b, a], [a, c]] ->= [ [c, c] , [c, a] , [a, c] , [c, a] , [ a , c ] ] {- Semlab 3 (Concon 3 (DP Nontop (Mirror (Input 2)))) -}
  [[a, c], [c, c], [c, a]] ->= [ [ a , a ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 3)))) -}
  [[b, c], [c, c], [c, a]] ->= [ [ b , a ] ] {- Semlab 2 (Concon 1 (DP Nontop (Mirror (Input 3)))) -}
reason
  no strict rules

**************************************************
skeleton: \Mirror(4,3)\Deepee(5/4,6)\Weight\EDG(3/4,5)\TileAllROC{2}(12/96,26)\Weight(0/13,10)[]
**************************************************
let {}
in let {trac ?= False;loop_cap = 1;match_cap = 2;tile_cap = 3;matrix_cap = 4;mo = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail));wop = Or_Else (Worker (Weight {modus = mo})) Pass;weighted = \ m -> And_Then m wop;done = Worker No_Strict_Rules;dont = \ p -> Fail;tiling = \ m w -> On tile_cap (weighted (And_Then (Worker (Tiling {method = m,width = w,map_type = Enum,max_num_tiles = Just 1000,max_num_rules = Just 100000})) (Worker Remap)));tile_roc = Tree_Search_Preemptive 0 done let {ws = [ 2, 4, 8, 12]}in (for ws (\ w -> tiling Overlap w)) <> [ Worker Unlabel];mb = \ size -> On match_cap (Apply (Worker (Matchbound {method = RFC,max_size = Just size})) done);mbs = \ size -> First_Of [ mb size, Apply (Worker Mirror) (mb size)];tile_rfc = Tree_Search_Preemptive 0 done let {ws = [ 2, 4, 8, 12]}in (for ws (\ w -> tiling Forward w)) <> ((for ws (\ w -> tiling Backward w)) <> [ Worker Unlabel]);solver = Minisatapi;qpi = \ dim bits -> On matrix_cap (weighted (Worker (QPI {tracing = trac,dim = dim,bits = bits,solver = solver})));qpis = Seq [ Timeout 10 (qpi 2 3), Timeout 30 (qpi 4 3), Timeout 50 (qpi 6 3), qpi 8 3];kbo = \ b -> On matrix_cap (weighted (Worker (KBO {bits = b,solver = solver})));matrix = \ dom dim bits -> On matrix_cap (weighted (Worker (Matrix {monotone = Weak,domain = dom,dim = dim,bits = bits,encoding = Ersatz_Binary,tracing = trac,verbose = True,solver = solver})));arctics = Seq [ Timeout 10 (matrix Arctic 2 16), Timeout 30 (matrix Arctic 4 8), Timeout 50 (matrix Arctic 6 4), matrix Arctic 8 2];naturals = Seq [ Timeout 10 (matrix Natural 2 4), Timeout 30 (matrix Natural 4 3), Timeout 50 (matrix Natural 6 2), matrix Natural 8 1];remove = First_Of [ qpis, arctics, naturals, As_Transformer tile_roc];remove_wop = And_Then wop (Or_Else (As_Transformer (Worker No_Strict_Rules)) remove);deepee = Apply (And_Then (Worker DP) (Worker Remap)) (Apply wop (Branch (Worker (EDG {tracing = False,usable = True})) remove_wop));when_small = \ m -> Apply (Worker (SizeAtmost 1000)) m;yeah = First_Of [ when_small (First_Of [ deepee, Apply (Worker Mirror) deepee]), tile_rfc, mbs 100000];noh_for = \ side -> Worker (Simple (Config {closure = side,max_closure_width = Nothing,intermediates = All,priority = Linear [ ( 1, Log2 Steps), ( -1, Width_lhs), ( -2, Log2 Width_rhs)]}));noh = First_Of [ On loop_cap (noh_for Forward), On loop_cap (noh_for Backward), On loop_cap (Worker Transport)]}
  in Apply (Worker Remap) (Apply wop (Seq [ Worker KKST01, First_Of [ yeah, noh]]))
**************************************************
statistics on proof search (nodes types that (together) took more than 1.000000000000)
**************************************************
Fail : Matrix { monotone = Weak , domain = Arctic , shape = Full , bits = 16 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False}
  total number 2
  max duration 1.086853684000
  min duration 1.060750373000
  total durat. 2.147604057000
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Arctic
      , shape = Full
      , bits = 16
      , encoding = Ersatz_Binary
      , dim = 2
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 6
      , num_strict_rules = 2
      , num_top_rules = 2
      , num_weak_rules = 4
      , alphabet_size = 4
      , total_length = 22}
    , self = 55
    , parent = Just 11
    , duration = 1.060750373000
    , status = Fail
    , start = 2021-07-13 23:33:35.295190131 UTC
    , finish = 2021-07-13 23:33:36.355940504 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '7'
                          , '6' ]
                        , 0
                        , True )}
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Arctic
      , shape = Full
      , bits = 16
      , encoding = Ersatz_Binary
      , dim = 2
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 7
      , num_strict_rules = 3
      , num_top_rules = 3
      , num_weak_rules = 4
      , alphabet_size = 5
      , total_length = 22}
    , self = 56
    , parent = Just 15
    , duration = 1.086853684000
    , status = Fail
    , start = 2021-07-13 23:33:35.297440344 UTC
    , finish = 2021-07-13 23:33:36.384294028 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '0'
                          , '0' ]
                        , 0
                        , True )}
Fail : QPI { dim = 4, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 2
  max duration 1.449312868000
  min duration 1.383293305000
  total durat. 2.832606173000
  Info
    { what = QPI
      { dim = 4
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 6
      , num_strict_rules = 2
      , num_top_rules = 2
      , num_weak_rules = 4
      , alphabet_size = 4
      , total_length = 22}
    , self = 59
    , parent = Just 11
    , duration = 1.383293305000
    , status = Fail
    , start = 2021-07-13 23:33:35.593096435 UTC
    , finish = 2021-07-13 23:33:36.97638974 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '9'
                          , '0' ]
                        , 0
                        , True )}
  Info
    { what = QPI
      { dim = 4
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 7
      , num_strict_rules = 3
      , num_top_rules = 3
      , num_weak_rules = 4
      , alphabet_size = 5
      , total_length = 22}
    , self = 60
    , parent = Just 15
    , duration = 1.449312868000
    , status = Fail
    , start = 2021-07-13 23:33:35.642671777 UTC
    , finish = 2021-07-13 23:33:37.091984645 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '0'
                          , '3' ]
                        , 0
                        , True )}
Success : Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False}
  total number 6
  max duration 1.633268662000
  min duration 0.000627699000
  total durat. 2.767624743000
  Info
    { what = Weight
      { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail))
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 108
      , num_strict_rules = 12
      , num_top_rules = 12
      , num_weak_rules = 96
      , alphabet_size = 26
      , total_length = 544}
    , self = 61
    , parent = Just 34
    , duration = 1.633268662000
    , status = Success
    , start = 2021-07-13 23:33:35.461773209 UTC
    , finish = 2021-07-13 23:33:37.095041871 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '7'
                          , '8' ]
                        , 3
                        , False )}
**************************************************