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


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


YES
**************************************************
summary
**************************************************
SRS with 30 rules on 6 letters       weights
SRS with 5 rules on 6 letters       mirror
SRS with 5 rules on 6 letters       DP
SRS with 44 strict rules and 5 weak rules on 10 letters       weights
SRS with 2 strict rules and 5 weak rules on 8 letters       EDG

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [0, 1, 0, 1] -> [0, 2, 3, 1] {- Input 0 -}
  [2, 1, 4, 0, 1] -> [3, 0, 0, 1] {- Input 1 -}
  [2, 3, 3, 3, 1] -> [1, 1, 3, 1] {- Input 2 -}
  [4, 1, 2, 3, 4] -> [1, 5, 3, 0] {- Input 3 -}
  [5, 3, 2, 4, 4] -> [0, 1, 3, 0] {- Input 4 -}
  [5, 5, 0, 4, 3, 3] -> [0, 3, 2, 1, 3] {- Input 5 -}
  [5, 0, 3, 1, 4, 1, 0, 1, 0] -> [2, 2, 4, 1, 3, 2, 2, 3, 0] {- Input 6 -}
  [5, 5, 5, 4, 4, 0, 4, 0, 2, 1] -> [5, 4, 5, 4, 0, 5, 0, 4, 0, 3] {- Input 7 -}
  [2, 2, 2, 0, 3, 3, 2, 0, 4, 5, 0] -> [0, 4, 0, 0, 0, 0, 2, 5, 1] {- Input 8 -}
  [1, 0, 2, 0, 3, 5, 1, 4, 5, 2, 4, 4] -> [ 1 , 0 , 1 , 0 , 3 , 2 , 3 , 2 , 1 , 0 , 3 , 3 ] {- Input 9 -}
  [4, 0, 4, 2, 3, 5, 0, 1, 4, 4, 5, 0] -> [ 3 , 5 , 0 , 2 , 5 , 1 , 2 , 5 , 1 , 4 , 1 ] {- Input 10 -}
  [4, 1, 0, 2, 3, 5, 4, 1, 4, 4, 1, 1] -> [ 2 , 5 , 4 , 4 , 5 , 5 , 1 , 2 , 4 , 4 , 2 ] {- Input 11 -}
  [2, 0, 0, 5, 5, 0, 2, 2, 2, 3, 4, 1, 4] -> [ 3 , 3 , 3 , 3 , 1 , 3 , 1 , 4 , 1 , 4 , 5 , 4 , 3 ] {- Input 12 -}
  [4, 5, 1, 3, 0, 0, 3, 5, 2, 1, 2, 5, 2] -> [ 4 , 5 , 0 , 3 , 5 , 3 , 5 , 5 , 3 , 5 , 4 , 0 , 4 ] {- Input 13 -}
  [2, 1, 4, 5, 5, 0, 2, 4, 0, 5, 4, 4, 1, 4] -> [ 0 , 0 , 2 , 1 , 4 , 3 , 2 , 5 , 3 , 2 , 5 , 2 , 1 ] {- Input 14 -}
  [3, 1, 3, 5, 4, 1, 1, 4, 5, 1, 1, 3, 5, 1] -> [ 3 , 2 , 1 , 2 , 4 , 3 , 5 , 1 , 5 , 5 , 1 , 3 , 4 ] {- Input 15 -}
  [4, 4, 5, 3, 0, 2, 0, 0, 0, 3, 5, 0, 2, 1] -> [ 2 , 2 , 0 , 4 , 1 , 0 , 0 , 1 , 4 , 2 , 4 , 1 , 3 , 5 ] {- Input 16 -}
  [5, 0, 5, 4, 4, 4, 4, 2, 5, 1, 2, 3, 3, 1, 1] -> [ 1 , 3 , 0 , 5 , 3 , 1 , 3 , 1 , 0 , 3 , 3 , 1 , 0 , 3 ] {- Input 17 -}
  [5, 3, 5, 5, 4, 0, 2, 2, 4, 3, 2, 2, 1, 4, 1] -> [ 5 , 1 , 4 , 2 , 3 , 5 , 4 , 0 , 4 , 4 , 2 , 1 , 0 , 0 ] {- Input 18 -}
  [5, 5, 2, 1, 3, 3, 2, 5, 0, 1, 0, 5, 0, 5, 0] -> [ 2 , 3 , 5 , 0 , 2 , 4 , 1 , 0 , 5 , 4 , 3 , 0 , 5 , 0 ] {- Input 19 -}
  [2, 1, 2, 3, 2, 1, 2, 5, 5, 5, 0, 0, 3, 2, 1, 1] -> [ 4 , 4 , 1 , 1 , 3 , 3 , 1 , 4 , 2 , 1 , 3 , 0 , 3 , 2 , 3 ] {- Input 20 -}
  [3, 3, 3, 1, 4, 2, 0, 0, 3, 0, 1, 1, 3, 4, 1, 2] -> [ 3 , 0 , 4 , 1 , 5 , 0 , 5 , 3 , 5 , 0 , 4 , 4 , 3 , 0 , 4 ] {- Input 21 -}
  [2, 1, 1, 3, 5, 4, 0, 1, 4, 2, 5, 1, 4, 5, 4, 5, 1] -> [ 2 , 3 , 3 , 3 , 3 , 2 , 1 , 4 , 5 , 5 , 2 , 2 , 4 , 4 , 4 , 3 , 0 ] {- Input 22 -}
  [5, 0, 2, 4, 4, 4, 4, 3, 1, 2, 2, 2, 2, 2, 2, 5, 2] -> [ 5 , 4 , 0 , 4 , 4 , 3 , 5 , 5 , 4 , 3 , 0 , 5 , 5 , 5 , 0 , 0 ] {- Input 23 -}
  [2, 5, 5, 1, 0, 4, 4, 1, 4, 0, 5, 1, 1, 5, 0, 0, 1, 4] -> [ 3 , 3 , 1 , 0 , 0 , 1 , 1 , 1 , 2 , 1 , 2 , 0 , 2 , 4 , 4 , 3 , 5 , 0 ] {- Input 24 -}
  [0, 0, 1, 1, 4, 5, 3, 2, 5, 3, 4, 4, 3, 0, 5, 4, 4, 4, 2] -> [ 0 , 0 , 4 , 5 , 1 , 4 , 1 , 5 , 3 , 0 , 4 , 0 , 3 , 3 , 4 , 0 , 4 , 0 , 4 ] {- Input 25 -}
  [1, 4, 1, 4, 1, 5, 2, 4, 4, 3, 3, 4, 5, 4, 4, 1, 2, 0, 2, 3] -> [ 1 , 2 , 1 , 5 , 0 , 1 , 0 , 4 , 4 , 4 , 2 , 5 , 0 , 1 , 5 , 1 , 1 , 4 , 3 , 3 ] {- Input 26 -}
  [2, 1, 0, 0, 4, 2, 5, 5, 1, 3, 3, 4, 3, 3, 5, 5, 3, 3, 5, 2] -> [ 4 , 4 , 3 , 3 , 5 , 0 , 4 , 2 , 2 , 1 , 1 , 3 , 1 , 5 , 2 , 5 , 2 , 4 , 5 ] {- Input 27 -}
  [4, 2, 4, 2, 4, 5, 4, 5, 2, 1, 5, 3, 1, 0, 2, 5, 2, 1, 4, 2, 4] -> [ 1 , 5 , 3 , 1 , 5 , 0 , 5 , 2 , 0 , 5 , 4 , 3 , 5 , 2 , 1 , 2 , 5 , 4 , 3 , 2 , 1 ] {- Input 28 -}
  [5, 0, 2, 1, 0, 3, 4, 3, 4, 1, 5, 3, 3, 3, 4, 2, 0, 5, 5, 3, 5] -> [ 3 , 5 , 1 , 1 , 0 , 5 , 4 , 5 , 2 , 1 , 5 , 0 , 4 , 4 , 4 , 3 , 4 , 4 , 1 , 5 ] {- Input 29 -}
reason
  (0, 19/1)
  (1, 115/7)
  (2, 19/1)
  (3, 97/7)
  (4, 19/1)
  (5, 19/1)
   property Termination
has value Just True
for SRS
  [5, 0, 3, 1, 4, 1, 0, 1, 0] -> [2, 2, 4, 1, 3, 2, 2, 3, 0] {- Input 6 -}
  [4, 5, 1, 3, 0, 0, 3, 5, 2, 1, 2, 5, 2] -> [ 4 , 5 , 0 , 3 , 5 , 3 , 5 , 5 , 3 , 5 , 4 , 0 , 4 ] {- Input 13 -}
  [4, 4, 5, 3, 0, 2, 0, 0, 0, 3, 5, 0, 2, 1] -> [ 2 , 2 , 0 , 4 , 1 , 0 , 0 , 1 , 4 , 2 , 4 , 1 , 3 , 5 ] {- Input 16 -}
  [0, 0, 1, 1, 4, 5, 3, 2, 5, 3, 4, 4, 3, 0, 5, 4, 4, 4, 2] -> [ 0 , 0 , 4 , 5 , 1 , 4 , 1 , 5 , 3 , 0 , 4 , 0 , 3 , 3 , 4 , 0 , 4 , 0 , 4 ] {- Input 25 -}
  [1, 4, 1, 4, 1, 5, 2, 4, 4, 3, 3, 4, 5, 4, 4, 1, 2, 0, 2, 3] -> [ 1 , 2 , 1 , 5 , 0 , 1 , 0 , 4 , 4 , 4 , 2 , 5 , 0 , 1 , 5 , 1 , 1 , 4 , 3 , 3 ] {- Input 26 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [0, 1, 0, 1, 4, 1, 3, 0, 5] -> [ 0 , 3 , 2 , 2 , 3 , 1 , 4 , 2 , 2 ] {- Mirror (Input 6) -}
  [2, 5, 2, 1, 2, 5, 3, 0, 0, 3, 1, 5, 4] -> [ 4 , 0 , 4 , 5 , 3 , 5 , 5 , 3 , 5 , 3 , 0 , 5 , 4 ] {- Mirror (Input 13) -}
  [1, 2, 0, 5, 3, 0, 0, 0, 2, 0, 3, 5, 4, 4] -> [ 5 , 3 , 1 , 4 , 2 , 4 , 1 , 0 , 0 , 1 , 4 , 0 , 2 , 2 ] {- Mirror (Input 16) -}
  [2, 4, 4, 4, 5, 0, 3, 4, 4, 3, 5, 2, 3, 5, 4, 1, 1, 0, 0] -> [ 4 , 0 , 4 , 0 , 4 , 3 , 3 , 0 , 4 , 0 , 3 , 5 , 1 , 4 , 1 , 5 , 4 , 0 , 0 ] {- Mirror (Input 25) -}
  [3, 2, 0, 2, 1, 4, 4, 5, 4, 3, 3, 4, 4, 2, 5, 1, 4, 1, 4, 1] -> [ 3 , 3 , 4 , 1 , 1 , 5 , 1 , 0 , 5 , 2 , 4 , 4 , 4 , 0 , 1 , 0 , 5 , 1 , 2 , 1 ] {- Mirror (Input 26) -}
reason
  DP
   property Termination
has value Just True
for SRS
  [0, 1, 0, 1, 4, 1, 3, 0, 5] ->= [ 0 , 3 , 2 , 2 , 3 , 1 , 4 , 2 , 2 ] {- DP Nontop (Mirror (Input 6)) -}
  [2, 5, 2, 1, 2, 5, 3, 0, 0, 3, 1, 5, 4] ->= [ 4 , 0 , 4 , 5 , 3 , 5 , 5 , 3 , 5 , 3 , 0 , 5 , 4 ] {- DP Nontop (Mirror (Input 13)) -}
  [1, 2, 0, 5, 3, 0, 0, 0, 2, 0, 3, 5, 4, 4] ->= [ 5 , 3 , 1 , 4 , 2 , 4 , 1 , 0 , 0 , 1 , 4 , 0 , 2 , 2 ] {- DP Nontop (Mirror (Input 16)) -}
  [2, 4, 4, 4, 5, 0, 3, 4, 4, 3, 5, 2, 3, 5, 4, 1, 1, 0, 0] ->= [ 4 , 0 , 4 , 0 , 4 , 3 , 3 , 0 , 4 , 0 , 3 , 5 , 1 , 4 , 1 , 5 , 4 , 0 , 0 ] {- DP Nontop (Mirror (Input 25)) -}
  [3, 2, 0, 2, 1, 4, 4, 5, 4, 3, 3, 4, 4, 2, 5, 1, 4, 1, 4, 1] ->= [ 3 , 3 , 4 , 1 , 1 , 5 , 1 , 0 , 5 , 2 , 4 , 4 , 4 , 0 , 1 , 0 , 5 , 1 , 2 , 1 ] {- DP Nontop (Mirror (Input 26)) -}
  [0#, 1, 0, 1, 4, 1, 3, 0, 5] |-> [ 0# , 3 , 2 , 2 , 3 , 1 , 4 , 2 , 2 ] {- DP (Top 0) (Mirror (Input 6)) -}
  [0#, 1, 0, 1, 4, 1, 3, 0, 5] |-> [ 1# , 4 , 2 , 2 ] {- DP (Top 5) (Mirror (Input 6)) -}
  [0#, 1, 0, 1, 4, 1, 3, 0, 5] |-> [2#] {- DP (Top 8) (Mirror (Input 6)) -}
  [0#, 1, 0, 1, 4, 1, 3, 0, 5] |-> [2#, 2] {- DP (Top 7) (Mirror (Input 6)) -}
  [0#, 1, 0, 1, 4, 1, 3, 0, 5] |-> [ 2# , 2 , 3 , 1 , 4 , 2 , 2 ] {- DP (Top 2) (Mirror (Input 6)) -}
  [0#, 1, 0, 1, 4, 1, 3, 0, 5] |-> [ 2# , 3 , 1 , 4 , 2 , 2 ] {- DP (Top 3) (Mirror (Input 6)) -}
  [0#, 1, 0, 1, 4, 1, 3, 0, 5] |-> [ 3# , 1 , 4 , 2 , 2 ] {- DP (Top 4) (Mirror (Input 6)) -}
  [0#, 1, 0, 1, 4, 1, 3, 0, 5] |-> [ 3# , 2 , 2 , 3 , 1 , 4 , 2 , 2 ] {- DP (Top 1) (Mirror (Input 6)) -}
  [1#, 2, 0, 5, 3, 0, 0, 0, 2, 0, 3, 5, 4, 4] |-> [ 0# , 0 , 1 , 4 , 0 , 2 , 2 ] {- DP (Top 7) (Mirror (Input 16)) -}
  [1#, 2, 0, 5, 3, 0, 0, 0, 2, 0, 3, 5, 4, 4] |-> [ 0# , 1 , 4 , 0 , 2 , 2 ] {- DP (Top 8) (Mirror (Input 16)) -}
  [1#, 2, 0, 5, 3, 0, 0, 0, 2, 0, 3, 5, 4, 4] |-> [ 0# , 2 , 2 ] {- DP (Top 11) (Mirror (Input 16)) -}
  [1#, 2, 0, 5, 3, 0, 0, 0, 2, 0, 3, 5, 4, 4] |-> [ 1# , 0 , 0 , 1 , 4 , 0 , 2 , 2 ] {- DP (Top 6) (Mirror (Input 16)) -}
  [1#, 2, 0, 5, 3, 0, 0, 0, 2, 0, 3, 5, 4, 4] |-> [ 1# , 4 , 0 , 2 , 2 ] {- DP (Top 9) (Mirror (Input 16)) -}
  [1#, 2, 0, 5, 3, 0, 0, 0, 2, 0, 3, 5, 4, 4] |-> [ 1# , 4 , 2 , 4 , 1 , 0 , 0 , 1 , 4 , 0 , 2 , 2 ] {- DP (Top 2) (Mirror (Input 16)) -}
  [ 1# , 2 , 0 , 5 , 3 , 0 , 0 , 0 , 2 , 0 , 3 , 5 , 4 , 4 ] |-> [2#] {- DP (Top 13) (Mirror (Input 16)) -}
  [1#, 2, 0, 5, 3, 0, 0, 0, 2, 0, 3, 5, 4, 4] |-> [ 2# , 2 ] {- DP (Top 12) (Mirror (Input 16)) -}
  [1#, 2, 0, 5, 3, 0, 0, 0, 2, 0, 3, 5, 4, 4] |-> [ 2# , 4 , 1 , 0 , 0 , 1 , 4 , 0 , 2 , 2 ] {- DP (Top 4) (Mirror (Input 16)) -}
  [1#, 2, 0, 5, 3, 0, 0, 0, 2, 0, 3, 5, 4, 4] |-> [ 3# , 1 , 4 , 2 , 4 , 1 , 0 , 0 , 1 , 4 , 0 , 2 , 2 ] {- DP (Top 1) (Mirror (Input 16)) -}
  [2#, 4, 4, 4, 5, 0, 3, 4, 4, 3, 5, 2, 3, 5, 4, 1, 1, 0, 0] |-> [ 0# , 3 , 5 , 1 , 4 , 1 , 5 , 4 , 0 , 0 ] {- DP (Top 9) (Mirror (Input 25)) -}
  [2#, 4, 4, 4, 5, 0, 3, 4, 4, 3, 5, 2, 3, 5, 4, 1, 1, 0, 0] |-> [ 0# , 4 , 0 , 3 , 5 , 1 , 4 , 1 , 5 , 4 , 0 , 0 ] {- DP (Top 7) (Mirror (Input 25)) -}
  [2#, 4, 4, 4, 5, 0, 3, 4, 4, 3, 5, 2, 3, 5, 4, 1, 1, 0, 0] |-> [ 0# , 4 , 0 , 4 , 3 , 3 , 0 , 4 , 0 , 3 , 5 , 1 , 4 , 1 , 5 , 4 , 0 , 0 ] {- DP (Top 1) (Mirror (Input 25)) -}
  [2#, 4, 4, 4, 5, 0, 3, 4, 4, 3, 5, 2, 3, 5, 4, 1, 1, 0, 0] |-> [ 0# , 4 , 3 , 3 , 0 , 4 , 0 , 3 , 5 , 1 , 4 , 1 , 5 , 4 , 0 , 0 ] {- DP (Top 3) (Mirror (Input 25)) -}
  [2#, 4, 4, 4, 5, 0, 3, 4, 4, 3, 5, 2, 3, 5, 4, 1, 1, 0, 0] |-> [ 1# , 4 , 1 , 5 , 4 , 0 , 0 ] {- DP (Top 12) (Mirror (Input 25)) -}
  [2#, 4, 4, 4, 5, 0, 3, 4, 4, 3, 5, 2, 3, 5, 4, 1, 1, 0, 0] |-> [ 1# , 5 , 4 , 0 , 0 ] {- DP (Top 14) (Mirror (Input 25)) -}
  [2#, 4, 4, 4, 5, 0, 3, 4, 4, 3, 5, 2, 3, 5, 4, 1, 1, 0, 0] |-> [ 3# , 0 , 4 , 0 , 3 , 5 , 1 , 4 , 1 , 5 , 4 , 0 , 0 ] {- DP (Top 6) (Mirror (Input 25)) -}
  [2#, 4, 4, 4, 5, 0, 3, 4, 4, 3, 5, 2, 3, 5, 4, 1, 1, 0, 0] |-> [ 3# , 3 , 0 , 4 , 0 , 3 , 5 , 1 , 4 , 1 , 5 , 4 , 0 , 0 ] {- DP (Top 5) (Mirror (Input 25)) -}
  [2#, 4, 4, 4, 5, 0, 3, 4, 4, 3, 5, 2, 3, 5, 4, 1, 1, 0, 0] |-> [ 3# , 5 , 1 , 4 , 1 , 5 , 4 , 0 , 0 ] {- DP (Top 10) (Mirror (Input 25)) -}
  [2#, 5, 2, 1, 2, 5, 3, 0, 0, 3, 1, 5, 4] |-> [ 0# , 4 , 5 , 3 , 5 , 5 , 3 , 5 , 3 , 0 , 5 , 4 ] {- DP (Top 1) (Mirror (Input 13)) -}
  [2#, 5, 2, 1, 2, 5, 3, 0, 0, 3, 1, 5, 4] |-> [ 0# , 5 , 4 ] {- DP (Top 10) (Mirror (Input 13)) -}
  [2#, 5, 2, 1, 2, 5, 3, 0, 0, 3, 1, 5, 4] |-> [ 3# , 0 , 5 , 4 ] {- DP (Top 9) (Mirror (Input 13)) -}
  [2#, 5, 2, 1, 2, 5, 3, 0, 0, 3, 1, 5, 4] |-> [ 3# , 5 , 3 , 0 , 5 , 4 ] {- DP (Top 7) (Mirror (Input 13)) -}
  [2#, 5, 2, 1, 2, 5, 3, 0, 0, 3, 1, 5, 4] |-> [ 3# , 5 , 5 , 3 , 5 , 3 , 0 , 5 , 4 ] {- DP (Top 4) (Mirror (Input 13)) -}
  [3#, 2, 0, 2, 1, 4, 4, 5, 4, 3, 3, 4, 4, 2, 5, 1, 4, 1, 4, 1] |-> [ 0# , 1 , 0 , 5 , 1 , 2 , 1 ] {- DP (Top 13) (Mirror (Input 26)) -}
  [3#, 2, 0, 2, 1, 4, 4, 5, 4, 3, 3, 4, 4, 2, 5, 1, 4, 1, 4, 1] |-> [ 0# , 5 , 1 , 2 , 1 ] {- DP (Top 15) (Mirror (Input 26)) -}
  [3#, 2, 0, 2, 1, 4, 4, 5, 4, 3, 3, 4, 4, 2, 5, 1, 4, 1, 4, 1] |-> [ 0# , 5 , 2 , 4 , 4 , 4 , 0 , 1 , 0 , 5 , 1 , 2 , 1 ] {- DP (Top 7) (Mirror (Input 26)) -}
  [3#, 2, 0, 2, 1, 4, 4, 5, 4, 3, 3, 4, 4, 2, 5, 1, 4, 1, 4, 1] |-> [ 1# , 0 , 5 , 1 , 2 , 1 ] {- DP (Top 14) (Mirror (Input 26)) -}
  [3#, 2, 0, 2, 1, 4, 4, 5, 4, 3, 3, 4, 4, 2, 5, 1, 4, 1, 4, 1] |-> [ 1# , 0 , 5 , 2 , 4 , 4 , 4 , 0 , 1 , 0 , 5 , 1 , 2 , 1 ] {- DP (Top 6) (Mirror (Input 26)) -}
  [3#, 2, 0, 2, 1, 4, 4, 5, 4, 3, 3, 4, 4, 2, 5, 1, 4, 1, 4, 1] |-> [ 1# , 1 , 5 , 1 , 0 , 5 , 2 , 4 , 4 , 4 , 0 , 1 , 0 , 5 , 1 , 2 , 1 ] {- DP (Top 3) (Mirror (Input 26)) -}
  [3#, 2, 0, 2, 1, 4, 4, 5, 4, 3, 3, 4, 4, 2, 5, 1, 4, 1, 4, 1] |-> [ 1# , 2 , 1 ] {- DP (Top 17) (Mirror (Input 26)) -}
  [3#, 2, 0, 2, 1, 4, 4, 5, 4, 3, 3, 4, 4, 2, 5, 1, 4, 1, 4, 1] |-> [ 1# , 5 , 1 , 0 , 5 , 2 , 4 , 4 , 4 , 0 , 1 , 0 , 5 , 1 , 2 , 1 ] {- DP (Top 4) (Mirror (Input 26)) -}
  [3#, 2, 0, 2, 1, 4, 4, 5, 4, 3, 3, 4, 4, 2, 5, 1, 4, 1, 4, 1] |-> [ 2# , 1 ] {- DP (Top 18) (Mirror (Input 26)) -}
  [3#, 2, 0, 2, 1, 4, 4, 5, 4, 3, 3, 4, 4, 2, 5, 1, 4, 1, 4, 1] |-> [ 2# , 4 , 4 , 4 , 0 , 1 , 0 , 5 , 1 , 2 , 1 ] {- DP (Top 9) (Mirror (Input 26)) -}
  [3#, 2, 0, 2, 1, 4, 4, 5, 4, 3, 3, 4, 4, 2, 5, 1, 4, 1, 4, 1] |-> [ 3# , 3 , 4 , 1 , 1 , 5 , 1 , 0 , 5 , 2 , 4 , 4 , 4 , 0 , 1 , 0 , 5 , 1 , 2 , 1 ] {- DP (Top 0) (Mirror (Input 26)) -}
  [3#, 2, 0, 2, 1, 4, 4, 5, 4, 3, 3, 4, 4, 2, 5, 1, 4, 1, 4, 1] |-> [ 3# , 4 , 1 , 1 , 5 , 1 , 0 , 5 , 2 , 4 , 4 , 4 , 0 , 1 , 0 , 5 , 1 , 2 , 1 ] {- DP (Top 1) (Mirror (Input 26)) -}
reason
  (1, 4/1)
  (3, 8/1)
  (2#, 3/1)
   property Termination
has value Just True
for SRS
  [0, 1, 0, 1, 4, 1, 3, 0, 5] ->= [ 0 , 3 , 2 , 2 , 3 , 1 , 4 , 2 , 2 ] {- DP Nontop (Mirror (Input 6)) -}
  [2, 5, 2, 1, 2, 5, 3, 0, 0, 3, 1, 5, 4] ->= [ 4 , 0 , 4 , 5 , 3 , 5 , 5 , 3 , 5 , 3 , 0 , 5 , 4 ] {- DP Nontop (Mirror (Input 13)) -}
  [1, 2, 0, 5, 3, 0, 0, 0, 2, 0, 3, 5, 4, 4] ->= [ 5 , 3 , 1 , 4 , 2 , 4 , 1 , 0 , 0 , 1 , 4 , 0 , 2 , 2 ] {- DP Nontop (Mirror (Input 16)) -}
  [2, 4, 4, 4, 5, 0, 3, 4, 4, 3, 5, 2, 3, 5, 4, 1, 1, 0, 0] ->= [ 4 , 0 , 4 , 0 , 4 , 3 , 3 , 0 , 4 , 0 , 3 , 5 , 1 , 4 , 1 , 5 , 4 , 0 , 0 ] {- DP Nontop (Mirror (Input 25)) -}
  [3, 2, 0, 2, 1, 4, 4, 5, 4, 3, 3, 4, 4, 2, 5, 1, 4, 1, 4, 1] ->= [ 3 , 3 , 4 , 1 , 1 , 5 , 1 , 0 , 5 , 2 , 4 , 4 , 4 , 0 , 1 , 0 , 5 , 1 , 2 , 1 ] {- DP Nontop (Mirror (Input 26)) -}
  [0#, 1, 0, 1, 4, 1, 3, 0, 5] |-> [ 0# , 3 , 2 , 2 , 3 , 1 , 4 , 2 , 2 ] {- DP (Top 0) (Mirror (Input 6)) -}
  [3#, 2, 0, 2, 1, 4, 4, 5, 4, 3, 3, 4, 4, 2, 5, 1, 4, 1, 4, 1] |-> [ 3# , 3 , 4 , 1 , 1 , 5 , 1 , 0 , 5 , 2 , 4 , 4 , 4 , 0 , 1 , 0 , 5 , 1 , 2 , 1 ] {- DP (Top 0) (Mirror (Input 26)) -}
reason
  EDG

**************************************************
skeleton: (30,6)\Weight\Mirror(5,6)\Deepee(44/5,10)\Weight(2/5,8)\EDG[]
**************************************************
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)])