/export/starexec/sandbox2/solver/bin/starexec_run_tc21-9.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 7 rules on 6 letters       DP
SRS with 55 strict rules and 7 weak rules on 10 letters       weights
SRS with 4 strict rules and 7 weak rules on 10 letters       EDG

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [0, 1, 2] -> [1, 3, 2] {- Input 0 -}
  [1, 1, 4, 2, 3] -> [1, 5, 4, 4] {- Input 1 -}
  [2, 2, 1, 3, 5] -> [1, 2, 0, 5] {- Input 2 -}
  [3, 0, 0, 2, 1] -> [0, 5, 4, 0] {- Input 3 -}
  [4, 3, 2, 5, 0] -> [3, 4, 1, 5, 5] {- Input 4 -}
  [0, 0, 0, 3, 2, 5] -> [2, 0, 5, 5, 4, 5] {- Input 5 -}
  [2, 2, 1, 1, 3, 2] -> [2, 1, 4, 0, 0] {- Input 6 -}
  [3, 3, 1, 1, 2, 2] -> [3, 3, 0, 0, 2] {- Input 7 -}
  [0, 2, 5, 1, 0, 4, 2, 2] -> [0, 0, 3, 5, 1, 5, 4] {- Input 8 -}
  [4, 0, 5, 3, 5, 1, 3, 5] -> [4, 0, 0, 1, 3, 0, 1, 5] {- Input 9 -}
  [4, 4, 4, 3, 5, 1, 4, 0] -> [3, 0, 2, 2, 2, 2, 3, 2] {- Input 10 -}
  [0, 0, 5, 3, 2, 2, 5, 0, 3] -> [2, 5, 5, 4, 2, 2, 5, 0, 3] {- Input 11 -}
  [3, 2, 2, 0, 0, 0, 0, 3, 1, 0, 5] -> [ 0 , 4 , 3 , 0 , 4 , 4 , 2 , 4 , 1 , 4 , 0 , 5 ] {- Input 12 -}
  [4, 3, 3, 3, 5, 0, 0, 3, 2, 4, 4, 1, 2] -> [ 4 , 4 , 5 , 2 , 2 , 0 , 5 , 0 , 1 , 4 , 3 , 0 ] {- Input 13 -}
  [4, 4, 3, 3, 1, 2, 2, 5, 3, 5, 3, 2, 3] -> [ 4 , 1 , 4 , 0 , 0 , 2 , 5 , 4 , 4 , 2 , 0 , 3 ] {- Input 14 -}
  [0, 0, 5, 0, 1, 4, 4, 3, 5, 2, 0, 0, 3, 3] -> [ 2 , 1 , 2 , 1 , 2 , 0 , 4 , 0 , 2 , 2 , 4 , 3 , 3 , 5 , 4 ] {- Input 15 -}
  [3, 0, 1, 5, 5, 1, 0, 4, 0, 0, 2, 1, 0, 3] -> [ 3 , 4 , 0 , 1 , 2 , 5 , 2 , 2 , 0 , 3 , 0 , 4 , 5 , 1 ] {- Input 16 -}
  [5, 5, 0, 5, 4, 4, 4, 3, 4, 0, 5, 4, 3, 3] -> [ 2 , 4 , 5 , 0 , 2 , 0 , 3 , 0 , 2 , 5 , 3 , 1 , 3 , 3 ] {- Input 17 -}
  [1, 0, 4, 3, 2, 1, 1, 1, 2, 4, 4, 5, 5, 0, 1] -> [ 1 , 0 , 2 , 4 , 5 , 5 , 0 , 1 , 1 , 4 , 4 , 5 , 0 , 1 ] {- Input 18 -}
  [3, 4, 1, 1, 4, 4, 0, 4, 4, 2, 4, 1, 0, 0, 5, 3, 2] -> [ 3 , 5 , 5 , 5 , 0 , 1 , 3 , 2 , 4 , 2 , 0 , 3 , 5 , 3 , 0 ] {- Input 19 -}
  [0, 2, 1, 3, 5, 3, 4, 1, 1, 4, 4, 0, 4, 3, 4, 1, 0, 2] -> [ 1 , 5 , 2 , 2 , 0 , 3 , 2 , 3 , 4 , 2 , 0 , 1 , 1 , 1 , 3 , 2 , 1 ] {- Input 20 -}
  [3, 3, 0, 0, 1, 2, 3, 5, 3, 0, 5, 2, 0, 0, 2, 4, 4, 1] -> [ 2 , 2 , 4 , 1 , 4 , 4 , 2 , 5 , 2 , 2 , 5 , 1 , 4 , 2 , 5 , 2 , 0 , 4 , 1 ] {- Input 21 -}
  [3, 3, 0, 5, 2, 3, 1, 3, 0, 0, 3, 1, 5, 2, 2, 1, 2, 2] -> [ 1 , 0 , 3 , 0 , 4 , 2 , 4 , 3 , 2 , 0 , 4 , 2 , 1 , 5 , 5 , 2 , 2 ] {- Input 22 -}
  [4, 5, 4, 0, 1, 1, 5, 5, 4, 5, 3, 2, 1, 3, 2, 4, 4, 2] -> [ 3 , 4 , 5 , 5 , 3 , 0 , 4 , 3 , 3 , 3 , 0 , 5 , 3 , 2 , 2 , 5 , 0 ] {- Input 23 -}
  [0, 0, 4, 1, 2, 3, 3, 5, 5, 2, 0, 3, 1, 2, 2, 4, 0, 1, 5] -> [ 2 , 2 , 0 , 1 , 0 , 1 , 5 , 0 , 1 , 0 , 0 , 5 , 0 , 1 , 1 , 4 , 5 ] {- Input 24 -}
  [0, 5, 0, 3, 2, 3, 2, 3, 0, 1, 5, 5, 5, 3, 4, 0, 0, 2, 2] -> [ 2 , 2 , 5 , 4 , 0 , 0 , 1 , 5 , 5 , 3 , 2 , 2 , 5 , 0 , 0 , 5 , 4 , 0 ] {- Input 25 -}
  [4, 0, 3, 4, 1, 3, 2, 0, 0, 0, 2, 1, 0, 1, 1, 3, 1, 5, 1] -> [ 0 , 3 , 5 , 3 , 4 , 5 , 1 , 0 , 0 , 3 , 1 , 0 , 2 , 4 , 1 , 3 , 3 , 0 ] {- Input 26 -}
  [4, 4, 5, 4, 5, 4, 3, 1, 2, 2, 0, 2, 5, 4, 2, 0, 4, 1, 2] -> [ 0 , 3 , 5 , 5 , 2 , 0 , 3 , 4 , 2 , 4 , 5 , 0 , 2 , 1 , 3 , 2 , 2 , 1 ] {- Input 27 -}
  [3, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] -> [ 3 , 4 , 5 , 0 , 5 , 3 , 1 , 3 , 5 , 5 , 5 , 4 , 0 , 4 , 1 , 2 , 5 , 5 , 0 ] {- Input 28 -}
  [2, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] -> [ 5 , 4 , 5 , 4 , 1 , 3 , 4 , 3 , 0 , 3 , 3 , 1 , 1 , 4 , 4 , 2 , 1 , 2 , 0 , 1 , 0 ] {- Input 29 -}
reason
  (0, 1/5)
  (1, 13/85)
  (2, 13/85)
  (3, 13/85)
  (4, 12/85)
  (5, 1/5)
   property Termination
has value Just True
for SRS
  [4, 3, 2, 5, 0] -> [3, 4, 1, 5, 5] {- Input 4 -}
  [4, 0, 5, 3, 5, 1, 3, 5] -> [4, 0, 0, 1, 3, 0, 1, 5] {- Input 9 -}
  [4, 4, 4, 3, 5, 1, 4, 0] -> [3, 0, 2, 2, 2, 2, 3, 2] {- Input 10 -}
  [3, 2, 2, 0, 0, 0, 0, 3, 1, 0, 5] -> [ 0 , 4 , 3 , 0 , 4 , 4 , 2 , 4 , 1 , 4 , 0 , 5 ] {- Input 12 -}
  [5, 5, 0, 5, 4, 4, 4, 3, 4, 0, 5, 4, 3, 3] -> [ 2 , 4 , 5 , 0 , 2 , 0 , 3 , 0 , 2 , 5 , 3 , 1 , 3 , 3 ] {- Input 17 -}
  [3, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] -> [ 3 , 4 , 5 , 0 , 5 , 3 , 1 , 3 , 5 , 5 , 5 , 4 , 0 , 4 , 1 , 2 , 5 , 5 , 0 ] {- Input 28 -}
  [2, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] -> [ 5 , 4 , 5 , 4 , 1 , 3 , 4 , 3 , 0 , 3 , 3 , 1 , 1 , 4 , 4 , 2 , 1 , 2 , 0 , 1 , 0 ] {- Input 29 -}
reason
  DP
   property Termination
has value Just True
for SRS
  [4, 3, 2, 5, 0] ->= [3, 4, 1, 5, 5] {- DP Nontop (Input 4) -}
  [4, 0, 5, 3, 5, 1, 3, 5] ->= [4, 0, 0, 1, 3, 0, 1, 5] {- DP Nontop (Input 9) -}
  [4, 4, 4, 3, 5, 1, 4, 0] ->= [3, 0, 2, 2, 2, 2, 3, 2] {- DP Nontop (Input 10) -}
  [3, 2, 2, 0, 0, 0, 0, 3, 1, 0, 5] ->= [ 0 , 4 , 3 , 0 , 4 , 4 , 2 , 4 , 1 , 4 , 0 , 5 ] {- DP Nontop (Input 12) -}
  [5, 5, 0, 5, 4, 4, 4, 3, 4, 0, 5, 4, 3, 3] ->= [ 2 , 4 , 5 , 0 , 2 , 0 , 3 , 0 , 2 , 5 , 3 , 1 , 3 , 3 ] {- DP Nontop (Input 17) -}
  [3, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] ->= [ 3 , 4 , 5 , 0 , 5 , 3 , 1 , 3 , 5 , 5 , 5 , 4 , 0 , 4 , 1 , 2 , 5 , 5 , 0 ] {- DP Nontop (Input 28) -}
  [2, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] ->= [ 5 , 4 , 5 , 4 , 1 , 3 , 4 , 3 , 0 , 3 , 3 , 1 , 1 , 4 , 4 , 2 , 1 , 2 , 0 , 1 , 0 ] {- DP Nontop (Input 29) -}
  [2#, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] |-> [ 2# , 0 , 1 , 0 ] {- DP (Top 17) (Input 29) -}
  [2#, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] |-> [ 2# , 1 , 2 , 0 , 1 , 0 ] {- DP (Top 15) (Input 29) -}
  [2#, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] |-> [ 3# , 0 , 3 , 3 , 1 , 1 , 4 , 4 , 2 , 1 , 2 , 0 , 1 , 0 ] {- DP (Top 7) (Input 29) -}
  [2#, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] |-> [ 3# , 1 , 1 , 4 , 4 , 2 , 1 , 2 , 0 , 1 , 0 ] {- DP (Top 10) (Input 29) -}
  [2#, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] |-> [ 3# , 3 , 1 , 1 , 4 , 4 , 2 , 1 , 2 , 0 , 1 , 0 ] {- DP (Top 9) (Input 29) -}
  [2#, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] |-> [ 3# , 4 , 3 , 0 , 3 , 3 , 1 , 1 , 4 , 4 , 2 , 1 , 2 , 0 , 1 , 0 ] {- DP (Top 5) (Input 29) -}
  [2#, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] |-> [ 4# , 1 , 3 , 4 , 3 , 0 , 3 , 3 , 1 , 1 , 4 , 4 , 2 , 1 , 2 , 0 , 1 , 0 ] {- DP (Top 3) (Input 29) -}
  [2#, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] |-> [ 4# , 2 , 1 , 2 , 0 , 1 , 0 ] {- DP (Top 14) (Input 29) -}
  [2#, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] |-> [ 4# , 3 , 0 , 3 , 3 , 1 , 1 , 4 , 4 , 2 , 1 , 2 , 0 , 1 , 0 ] {- DP (Top 6) (Input 29) -}
  [2#, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] |-> [ 4# , 4 , 2 , 1 , 2 , 0 , 1 , 0 ] {- DP (Top 13) (Input 29) -}
  [2#, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] |-> [ 4# , 5 , 4 , 1 , 3 , 4 , 3 , 0 , 3 , 3 , 1 , 1 , 4 , 4 , 2 , 1 , 2 , 0 , 1 , 0 ] {- DP (Top 1) (Input 29) -}
  [2#, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] |-> [ 5# , 4 , 1 , 3 , 4 , 3 , 0 , 3 , 3 , 1 , 1 , 4 , 4 , 2 , 1 , 2 , 0 , 1 , 0 ] {- DP (Top 2) (Input 29) -}
  [2#, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] |-> [ 5# , 4 , 5 , 4 , 1 , 3 , 4 , 3 , 0 , 3 , 3 , 1 , 1 , 4 , 4 , 2 , 1 , 2 , 0 , 1 , 0 ] {- DP (Top 0) (Input 29) -}
  [3#, 2, 2, 0, 0, 0, 0, 3, 1, 0, 5] |-> [ 2# , 4 , 1 , 4 , 0 , 5 ] {- DP (Top 6) (Input 12) -}
  [3#, 2, 2, 0, 0, 0, 0, 3, 1, 0, 5] |-> [ 3# , 0 , 4 , 4 , 2 , 4 , 1 , 4 , 0 , 5 ] {- DP (Top 2) (Input 12) -}
  [3#, 2, 2, 0, 0, 0, 0, 3, 1, 0, 5] |-> [4#, 0, 5] {- DP (Top 9) (Input 12) -}
  [3#, 2, 2, 0, 0, 0, 0, 3, 1, 0, 5] |-> [ 4# , 1 , 4 , 0 , 5 ] {- DP (Top 7) (Input 12) -}
  [3#, 2, 2, 0, 0, 0, 0, 3, 1, 0, 5] |-> [ 4# , 2 , 4 , 1 , 4 , 0 , 5 ] {- DP (Top 5) (Input 12) -}
  [3#, 2, 2, 0, 0, 0, 0, 3, 1, 0, 5] |-> [ 4# , 3 , 0 , 4 , 4 , 2 , 4 , 1 , 4 , 0 , 5 ] {- DP (Top 1) (Input 12) -}
  [3#, 2, 2, 0, 0, 0, 0, 3, 1, 0, 5] |-> [ 4# , 4 , 2 , 4 , 1 , 4 , 0 , 5 ] {- DP (Top 4) (Input 12) -}
  [3#, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] |-> [ 2# , 5 , 5 , 0 ] {- DP (Top 15) (Input 28) -}
  [3#, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] |-> [ 3# , 1 , 3 , 5 , 5 , 5 , 4 , 0 , 4 , 1 , 2 , 5 , 5 , 0 ] {- DP (Top 5) (Input 28) -}
  [3#, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] |-> [ 3# , 4 , 5 , 0 , 5 , 3 , 1 , 3 , 5 , 5 , 5 , 4 , 0 , 4 , 1 , 2 , 5 , 5 , 0 ] {- DP (Top 0) (Input 28) -}
  [3#, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] |-> [ 3# , 5 , 5 , 5 , 4 , 0 , 4 , 1 , 2 , 5 , 5 , 0 ] {- DP (Top 7) (Input 28) -}
  [3#, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] |-> [ 4# , 0 , 4 , 1 , 2 , 5 , 5 , 0 ] {- DP (Top 11) (Input 28) -}
  [3#, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] |-> [ 4# , 1 , 2 , 5 , 5 , 0 ] {- DP (Top 13) (Input 28) -}
  [3#, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] |-> [ 4# , 5 , 0 , 5 , 3 , 1 , 3 , 5 , 5 , 5 , 4 , 0 , 4 , 1 , 2 , 5 , 5 , 0 ] {- DP (Top 1) (Input 28) -}
  [3#, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] |-> [ 5# , 0 ] {- DP (Top 17) (Input 28) -}
  [3#, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] |-> [ 5# , 0 , 5 , 3 , 1 , 3 , 5 , 5 , 5 , 4 , 0 , 4 , 1 , 2 , 5 , 5 , 0 ] {- DP (Top 2) (Input 28) -}
  [3#, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] |-> [ 5# , 3 , 1 , 3 , 5 , 5 , 5 , 4 , 0 , 4 , 1 , 2 , 5 , 5 , 0 ] {- DP (Top 4) (Input 28) -}
  [3#, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] |-> [ 5# , 4 , 0 , 4 , 1 , 2 , 5 , 5 , 0 ] {- DP (Top 10) (Input 28) -}
  [3#, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] |-> [ 5# , 5 , 0 ] {- DP (Top 16) (Input 28) -}
  [3#, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] |-> [ 5# , 5 , 4 , 0 , 4 , 1 , 2 , 5 , 5 , 0 ] {- DP (Top 9) (Input 28) -}
  [3#, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] |-> [ 5# , 5 , 5 , 4 , 0 , 4 , 1 , 2 , 5 , 5 , 0 ] {- DP (Top 8) (Input 28) -}
  [4#, 0, 5, 3, 5, 1, 3, 5] |-> [3#, 0, 1, 5] {- DP (Top 4) (Input 9) -}
  [4#, 0, 5, 3, 5, 1, 3, 5] |-> [ 4# , 0 , 0 , 1 , 3 , 0 , 1 , 5 ] {- DP (Top 0) (Input 9) -}
  [4#, 3, 2, 5, 0] |-> [3#, 4, 1, 5, 5] {- DP (Top 0) (Input 4) -}
  [4#, 3, 2, 5, 0] |-> [4#, 1, 5, 5] {- DP (Top 1) (Input 4) -}
  [4#, 3, 2, 5, 0] |-> [5#] {- DP (Top 4) (Input 4) -}
  [4#, 3, 2, 5, 0] |-> [5#, 5] {- DP (Top 3) (Input 4) -}
  [4#, 4, 4, 3, 5, 1, 4, 0] |-> [2#] {- DP (Top 7) (Input 10) -}
  [4#, 4, 4, 3, 5, 1, 4, 0] |-> [2#, 2, 2, 2, 3, 2] {- DP (Top 2) (Input 10) -}
  [4#, 4, 4, 3, 5, 1, 4, 0] |-> [2#, 2, 2, 3, 2] {- DP (Top 3) (Input 10) -}
  [4#, 4, 4, 3, 5, 1, 4, 0] |-> [2#, 2, 3, 2] {- DP (Top 4) (Input 10) -}
  [4#, 4, 4, 3, 5, 1, 4, 0] |-> [2#, 3, 2] {- DP (Top 5) (Input 10) -}
  [4#, 4, 4, 3, 5, 1, 4, 0] |-> [ 3# , 0 , 2 , 2 , 2 , 2 , 3 , 2 ] {- DP (Top 0) (Input 10) -}
  [4#, 4, 4, 3, 5, 1, 4, 0] |-> [3#, 2] {- DP (Top 6) (Input 10) -}
  [5#, 5, 0, 5, 4, 4, 4, 3, 4, 0, 5, 4, 3, 3] |-> [ 2# , 0 , 3 , 0 , 2 , 5 , 3 , 1 , 3 , 3 ] {- DP (Top 4) (Input 17) -}
  [5#, 5, 0, 5, 4, 4, 4, 3, 4, 0, 5, 4, 3, 3] |-> [ 2# , 4 , 5 , 0 , 2 , 0 , 3 , 0 , 2 , 5 , 3 , 1 , 3 , 3 ] {- DP (Top 0) (Input 17) -}
  [5#, 5, 0, 5, 4, 4, 4, 3, 4, 0, 5, 4, 3, 3] |-> [ 2# , 5 , 3 , 1 , 3 , 3 ] {- DP (Top 8) (Input 17) -}
  [5#, 5, 0, 5, 4, 4, 4, 3, 4, 0, 5, 4, 3, 3] |-> [ 3# , 0 , 2 , 5 , 3 , 1 , 3 , 3 ] {- DP (Top 6) (Input 17) -}
  [5#, 5, 0, 5, 4, 4, 4, 3, 4, 0, 5, 4, 3, 3] |-> [ 3# , 1 , 3 , 3 ] {- DP (Top 10) (Input 17) -}
  [5#, 5, 0, 5, 4, 4, 4, 3, 4, 0, 5, 4, 3, 3] |-> [ 4# , 5 , 0 , 2 , 0 , 3 , 0 , 2 , 5 , 3 , 1 , 3 , 3 ] {- DP (Top 1) (Input 17) -}
  [5#, 5, 0, 5, 4, 4, 4, 3, 4, 0, 5, 4, 3, 3] |-> [ 5# , 0 , 2 , 0 , 3 , 0 , 2 , 5 , 3 , 1 , 3 , 3 ] {- DP (Top 2) (Input 17) -}
  [5#, 5, 0, 5, 4, 4, 4, 3, 4, 0, 5, 4, 3, 3] |-> [ 5# , 3 , 1 , 3 , 3 ] {- DP (Top 9) (Input 17) -}
reason
  (4, 4695/1157)
  (3, 1565/356)
  (2, 1565/356)
  (5, 26605/4628)
  (0, 26605/4628)
  (1, 1565/356)
  (3#, 13/4)
  (4#, 51/13)
  (5#, 1565/1157)
   property Termination
has value Just True
for SRS
  [4, 3, 2, 5, 0] ->= [3, 4, 1, 5, 5] {- DP Nontop (Input 4) -}
  [4, 0, 5, 3, 5, 1, 3, 5] ->= [4, 0, 0, 1, 3, 0, 1, 5] {- DP Nontop (Input 9) -}
  [4, 4, 4, 3, 5, 1, 4, 0] ->= [3, 0, 2, 2, 2, 2, 3, 2] {- DP Nontop (Input 10) -}
  [3, 2, 2, 0, 0, 0, 0, 3, 1, 0, 5] ->= [ 0 , 4 , 3 , 0 , 4 , 4 , 2 , 4 , 1 , 4 , 0 , 5 ] {- DP Nontop (Input 12) -}
  [5, 5, 0, 5, 4, 4, 4, 3, 4, 0, 5, 4, 3, 3] ->= [ 2 , 4 , 5 , 0 , 2 , 0 , 3 , 0 , 2 , 5 , 3 , 1 , 3 , 3 ] {- DP Nontop (Input 17) -}
  [3, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] ->= [ 3 , 4 , 5 , 0 , 5 , 3 , 1 , 3 , 5 , 5 , 5 , 4 , 0 , 4 , 1 , 2 , 5 , 5 , 0 ] {- DP Nontop (Input 28) -}
  [2, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] ->= [ 5 , 4 , 5 , 4 , 1 , 3 , 4 , 3 , 0 , 3 , 3 , 1 , 1 , 4 , 4 , 2 , 1 , 2 , 0 , 1 , 0 ] {- DP Nontop (Input 29) -}
  [2#, 5, 4, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 5, 5, 2, 5, 0, 1, 1, 1] |-> [ 5# , 4 , 5 , 4 , 1 , 3 , 4 , 3 , 0 , 3 , 3 , 1 , 1 , 4 , 4 , 2 , 1 , 2 , 0 , 1 , 0 ] {- DP (Top 0) (Input 29) -}
  [3#, 3, 3, 5, 2, 0, 0, 3, 3, 1, 2, 5, 2, 1, 3, 1, 0, 5, 2, 2] |-> [ 3# , 4 , 5 , 0 , 5 , 3 , 1 , 3 , 5 , 5 , 5 , 4 , 0 , 4 , 1 , 2 , 5 , 5 , 0 ] {- DP (Top 0) (Input 28) -}
  [4#, 0, 5, 3, 5, 1, 3, 5] |-> [ 4# , 0 , 0 , 1 , 3 , 0 , 1 , 5 ] {- DP (Top 0) (Input 9) -}
  [5#, 5, 0, 5, 4, 4, 4, 3, 4, 0, 5, 4, 3, 3] |-> [ 2# , 4 , 5 , 0 , 2 , 0 , 3 , 0 , 2 , 5 , 3 , 1 , 3 , 3 ] {- DP (Top 0) (Input 17) -}
reason
  EDG

**************************************************
skeleton: (30,6)\Weight(7,6)\Deepee(55/7,10)\Weight(4/7,10)\EDG[]
**************************************************
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]]))
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statistics on proof search (nodes types that (together) took more than 1.000000000000)
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