/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 45 rules on 6 letters       mirror
SRS with 45 rules on 6 letters       DP
SRS with 57 strict rules and 45 weak rules on 7 letters       weights
SRS with 41 strict rules and 45 weak rules on 7 letters       EDG
SRS with 3 rules on 5 letters       Usable
SRS with 3 rules on 5 letters       weights
SRS with 0 rules on 0 letters       no strict rules

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [0, 0] -> [0, 1, 0, 2] {- Input 0 -}
  [0, 0] -> [1, 0, 2, 0] {- Input 1 -}
  [0, 0] -> [1, 0, 1, 0, 1] {- Input 2 -}
  [0, 0] -> [1, 0, 1, 2, 0] {- Input 3 -}
  [0, 0] -> [1, 0, 2, 0, 3] {- Input 4 -}
  [0, 0] -> [1, 0, 2, 2, 0] {- Input 5 -}
  [0, 0] -> [2, 1, 0, 2, 0] {- Input 6 -}
  [0, 0] -> [0, 1, 0, 2, 1, 2] {- Input 7 -}
  [0, 0] -> [1, 0, 1, 0, 2, 2] {- Input 8 -}
  [0, 0] -> [1, 0, 1, 3, 0, 1] {- Input 9 -}
  [0, 0] -> [1, 0, 4, 1, 0, 2] {- Input 10 -}
  [0, 0] -> [1, 1, 1, 0, 2, 0] {- Input 11 -}
  [0, 0] -> [3, 0, 4, 0, 2, 2] {- Input 12 -}
  [0, 0] -> [3, 1, 0, 1, 0, 4] {- Input 13 -}
  [0, 0, 0] -> [0, 1, 0, 4, 0, 4] {- Input 14 -}
  [0, 0, 0] -> [3, 0, 0, 1, 0, 2] {- Input 15 -}
  [3, 0, 0] -> [3, 0, 2, 0, 3] {- Input 16 -}
  [3, 0, 0] -> [3, 0, 2, 4, 0, 2] {- Input 17 -}
  [5, 2, 0] -> [0, 2, 3, 5] {- Input 18 -}
  [5, 2, 0] -> [3, 5, 0, 2] {- Input 19 -}
  [5, 2, 0] -> [0, 2, 3, 3, 5] {- Input 20 -}
  [5, 2, 0] -> [1, 0, 2, 3, 5] {- Input 21 -}
  [5, 2, 0] -> [5, 1, 0, 2, 4] {- Input 22 -}
  [5, 2, 0] -> [5, 0, 1, 2, 2, 2] {- Input 23 -}
  [5, 2, 0] -> [5, 3, 5, 1, 0, 2] {- Input 24 -}
  [0, 5, 2, 0] -> [0, 5, 0, 2, 2] {- Input 25 -}
  [3, 4, 0, 0] -> [0, 3, 3, 0, 4, 5] {- Input 26 -}
  [3, 4, 0, 0] -> [3, 0, 4, 5, 3, 0] {- Input 27 -}
  [5, 1, 0, 0] -> [0, 3, 1, 0, 1, 5] {- Input 28 -}
  [5, 1, 4, 0] -> [0, 1, 5, 2, 4] {- Input 29 -}
  [5, 1, 5, 0] -> [5, 1, 0, 3, 5] {- Input 30 -}
  [5, 2, 2, 0] -> [0, 2, 1, 2, 4, 5] {- Input 31 -}
  [5, 3, 2, 0] -> [5, 3, 0, 1, 2] {- Input 32 -}
  [5, 3, 2, 0] -> [3, 3, 5, 3, 0, 2] {- Input 33 -}
  [5, 4, 0, 0] -> [0, 4, 5, 5, 0, 2] {- Input 34 -}
  [5, 4, 2, 0] -> [2, 4, 3, 5, 0] {- Input 35 -}
  [5, 4, 2, 0] -> [5, 0, 2, 2, 4] {- Input 36 -}
  [5, 4, 2, 0] -> [5, 4, 5, 0, 2] {- Input 37 -}
  [0, 3, 5, 2, 0] -> [3, 0, 2, 5, 3, 0] {- Input 38 -}
  [3, 3, 5, 2, 0] -> [3, 5, 2, 3, 0, 2] {- Input 39 -}
  [3, 3, 5, 2, 0] -> [4, 3, 3, 5, 0, 2] {- Input 40 -}
  [5, 0, 5, 2, 0] -> [0, 3, 5, 5, 0, 2] {- Input 41 -}
  [5, 1, 4, 0, 0] -> [0, 2, 5, 0, 1, 4] {- Input 42 -}
  [5, 3, 3, 2, 0] -> [5, 2, 3, 3, 0, 2] {- Input 43 -}
  [5, 4, 3, 0, 0] -> [1, 0, 4, 0, 3, 5] {- Input 44 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [0, 0] -> [2, 0, 1, 0] {- Mirror (Input 0) -}
  [0, 0] -> [0, 2, 0, 1] {- Mirror (Input 1) -}
  [0, 0] -> [1, 0, 1, 0, 1] {- Mirror (Input 2) -}
  [0, 0] -> [0, 2, 1, 0, 1] {- Mirror (Input 3) -}
  [0, 0] -> [3, 0, 2, 0, 1] {- Mirror (Input 4) -}
  [0, 0] -> [0, 2, 2, 0, 1] {- Mirror (Input 5) -}
  [0, 0] -> [0, 2, 0, 1, 2] {- Mirror (Input 6) -}
  [0, 0] -> [2, 1, 2, 0, 1, 0] {- Mirror (Input 7) -}
  [0, 0] -> [2, 2, 0, 1, 0, 1] {- Mirror (Input 8) -}
  [0, 0] -> [1, 0, 3, 1, 0, 1] {- Mirror (Input 9) -}
  [0, 0] -> [2, 0, 1, 4, 0, 1] {- Mirror (Input 10) -}
  [0, 0] -> [0, 2, 0, 1, 1, 1] {- Mirror (Input 11) -}
  [0, 0] -> [2, 2, 0, 4, 0, 3] {- Mirror (Input 12) -}
  [0, 0] -> [4, 0, 1, 0, 1, 3] {- Mirror (Input 13) -}
  [0, 0, 0] -> [4, 0, 4, 0, 1, 0] {- Mirror (Input 14) -}
  [0, 0, 0] -> [2, 0, 1, 0, 0, 3] {- Mirror (Input 15) -}
  [0, 0, 3] -> [3, 0, 2, 0, 3] {- Mirror (Input 16) -}
  [0, 0, 3] -> [2, 0, 4, 2, 0, 3] {- Mirror (Input 17) -}
  [0, 2, 5] -> [5, 3, 2, 0] {- Mirror (Input 18) -}
  [0, 2, 5] -> [2, 0, 5, 3] {- Mirror (Input 19) -}
  [0, 2, 5] -> [5, 3, 3, 2, 0] {- Mirror (Input 20) -}
  [0, 2, 5] -> [5, 3, 2, 0, 1] {- Mirror (Input 21) -}
  [0, 2, 5] -> [4, 2, 0, 1, 5] {- Mirror (Input 22) -}
  [0, 2, 5] -> [2, 2, 2, 1, 0, 5] {- Mirror (Input 23) -}
  [0, 2, 5] -> [2, 0, 1, 5, 3, 5] {- Mirror (Input 24) -}
  [0, 2, 5, 0] -> [2, 2, 0, 5, 0] {- Mirror (Input 25) -}
  [0, 0, 4, 3] -> [5, 4, 0, 3, 3, 0] {- Mirror (Input 26) -}
  [0, 0, 4, 3] -> [0, 3, 5, 4, 0, 3] {- Mirror (Input 27) -}
  [0, 0, 1, 5] -> [5, 1, 0, 1, 3, 0] {- Mirror (Input 28) -}
  [0, 4, 1, 5] -> [4, 2, 5, 1, 0] {- Mirror (Input 29) -}
  [0, 5, 1, 5] -> [5, 3, 0, 1, 5] {- Mirror (Input 30) -}
  [0, 2, 2, 5] -> [5, 4, 2, 1, 2, 0] {- Mirror (Input 31) -}
  [0, 2, 3, 5] -> [2, 1, 0, 3, 5] {- Mirror (Input 32) -}
  [0, 2, 3, 5] -> [2, 0, 3, 5, 3, 3] {- Mirror (Input 33) -}
  [0, 0, 4, 5] -> [2, 0, 5, 5, 4, 0] {- Mirror (Input 34) -}
  [0, 2, 4, 5] -> [0, 5, 3, 4, 2] {- Mirror (Input 35) -}
  [0, 2, 4, 5] -> [4, 2, 2, 0, 5] {- Mirror (Input 36) -}
  [0, 2, 4, 5] -> [2, 0, 5, 4, 5] {- Mirror (Input 37) -}
  [0, 2, 5, 3, 0] -> [0, 3, 5, 2, 0, 3] {- Mirror (Input 38) -}
  [0, 2, 5, 3, 3] -> [2, 0, 3, 2, 5, 3] {- Mirror (Input 39) -}
  [0, 2, 5, 3, 3] -> [2, 0, 5, 3, 3, 4] {- Mirror (Input 40) -}
  [0, 2, 5, 0, 5] -> [2, 0, 5, 5, 3, 0] {- Mirror (Input 41) -}
  [0, 0, 4, 1, 5] -> [4, 1, 0, 5, 2, 0] {- Mirror (Input 42) -}
  [0, 2, 3, 3, 5] -> [2, 0, 3, 3, 2, 5] {- Mirror (Input 43) -}
  [0, 0, 3, 4, 5] -> [5, 3, 0, 4, 0, 1] {- Mirror (Input 44) -}
reason
  DP
   property Termination
has value Just True
for SRS
  [0, 0] ->= [2, 0, 1, 0] {- DP Nontop (Mirror (Input 0)) -}
  [0, 0] ->= [0, 2, 0, 1] {- DP Nontop (Mirror (Input 1)) -}
  [0, 0] ->= [1, 0, 1, 0, 1] {- DP Nontop (Mirror (Input 2)) -}
  [0, 0] ->= [0, 2, 1, 0, 1] {- DP Nontop (Mirror (Input 3)) -}
  [0, 0] ->= [3, 0, 2, 0, 1] {- DP Nontop (Mirror (Input 4)) -}
  [0, 0] ->= [0, 2, 2, 0, 1] {- DP Nontop (Mirror (Input 5)) -}
  [0, 0] ->= [0, 2, 0, 1, 2] {- DP Nontop (Mirror (Input 6)) -}
  [0, 0] ->= [2, 1, 2, 0, 1, 0] {- DP Nontop (Mirror (Input 7)) -}
  [0, 0] ->= [2, 2, 0, 1, 0, 1] {- DP Nontop (Mirror (Input 8)) -}
  [0, 0] ->= [1, 0, 3, 1, 0, 1] {- DP Nontop (Mirror (Input 9)) -}
  [0, 0] ->= [2, 0, 1, 4, 0, 1] {- DP Nontop (Mirror (Input 10)) -}
  [0, 0] ->= [0, 2, 0, 1, 1, 1] {- DP Nontop (Mirror (Input 11)) -}
  [0, 0] ->= [2, 2, 0, 4, 0, 3] {- DP Nontop (Mirror (Input 12)) -}
  [0, 0] ->= [4, 0, 1, 0, 1, 3] {- DP Nontop (Mirror (Input 13)) -}
  [0, 0, 0] ->= [4, 0, 4, 0, 1, 0] {- DP Nontop (Mirror (Input 14)) -}
  [0, 0, 0] ->= [2, 0, 1, 0, 0, 3] {- DP Nontop (Mirror (Input 15)) -}
  [0, 0, 3] ->= [3, 0, 2, 0, 3] {- DP Nontop (Mirror (Input 16)) -}
  [0, 0, 3] ->= [2, 0, 4, 2, 0, 3] {- DP Nontop (Mirror (Input 17)) -}
  [0, 2, 5] ->= [5, 3, 2, 0] {- DP Nontop (Mirror (Input 18)) -}
  [0, 2, 5] ->= [2, 0, 5, 3] {- DP Nontop (Mirror (Input 19)) -}
  [0, 2, 5] ->= [5, 3, 3, 2, 0] {- DP Nontop (Mirror (Input 20)) -}
  [0, 2, 5] ->= [5, 3, 2, 0, 1] {- DP Nontop (Mirror (Input 21)) -}
  [0, 2, 5] ->= [4, 2, 0, 1, 5] {- DP Nontop (Mirror (Input 22)) -}
  [0, 2, 5] ->= [2, 2, 2, 1, 0, 5] {- DP Nontop (Mirror (Input 23)) -}
  [0, 2, 5] ->= [2, 0, 1, 5, 3, 5] {- DP Nontop (Mirror (Input 24)) -}
  [0, 2, 5, 0] ->= [2, 2, 0, 5, 0] {- DP Nontop (Mirror (Input 25)) -}
  [0, 0, 4, 3] ->= [5, 4, 0, 3, 3, 0] {- DP Nontop (Mirror (Input 26)) -}
  [0, 0, 4, 3] ->= [0, 3, 5, 4, 0, 3] {- DP Nontop (Mirror (Input 27)) -}
  [0, 0, 1, 5] ->= [5, 1, 0, 1, 3, 0] {- DP Nontop (Mirror (Input 28)) -}
  [0, 4, 1, 5] ->= [4, 2, 5, 1, 0] {- DP Nontop (Mirror (Input 29)) -}
  [0, 5, 1, 5] ->= [5, 3, 0, 1, 5] {- DP Nontop (Mirror (Input 30)) -}
  [0, 2, 2, 5] ->= [5, 4, 2, 1, 2, 0] {- DP Nontop (Mirror (Input 31)) -}
  [0, 2, 3, 5] ->= [2, 1, 0, 3, 5] {- DP Nontop (Mirror (Input 32)) -}
  [0, 2, 3, 5] ->= [2, 0, 3, 5, 3, 3] {- DP Nontop (Mirror (Input 33)) -}
  [0, 0, 4, 5] ->= [2, 0, 5, 5, 4, 0] {- DP Nontop (Mirror (Input 34)) -}
  [0, 2, 4, 5] ->= [0, 5, 3, 4, 2] {- DP Nontop (Mirror (Input 35)) -}
  [0, 2, 4, 5] ->= [4, 2, 2, 0, 5] {- DP Nontop (Mirror (Input 36)) -}
  [0, 2, 4, 5] ->= [2, 0, 5, 4, 5] {- DP Nontop (Mirror (Input 37)) -}
  [0, 2, 5, 3, 0] ->= [0, 3, 5, 2, 0, 3] {- DP Nontop (Mirror (Input 38)) -}
  [0, 2, 5, 3, 3] ->= [2, 0, 3, 2, 5, 3] {- DP Nontop (Mirror (Input 39)) -}
  [0, 2, 5, 3, 3] ->= [2, 0, 5, 3, 3, 4] {- DP Nontop (Mirror (Input 40)) -}
  [0, 2, 5, 0, 5] ->= [2, 0, 5, 5, 3, 0] {- DP Nontop (Mirror (Input 41)) -}
  [0, 0, 4, 1, 5] ->= [4, 1, 0, 5, 2, 0] {- DP Nontop (Mirror (Input 42)) -}
  [0, 2, 3, 3, 5] ->= [2, 0, 3, 3, 2, 5] {- DP Nontop (Mirror (Input 43)) -}
  [0, 0, 3, 4, 5] ->= [5, 3, 0, 4, 0, 1] {- DP Nontop (Mirror (Input 44)) -}
  [0#, 0] |-> [0#, 1] {- Many [ DP (Top 4) (Mirror (Input 10)) , DP (Top 4) (Mirror (Input 9)) , DP (Top 4) (Mirror (Input 8)) , DP (Top 3) (Mirror (Input 5)) , DP (Top 3) (Mirror (Input 4)) , DP (Top 3) (Mirror (Input 3)) , DP (Top 3) (Mirror (Input 2)) , DP (Top 2) (Mirror (Input 1)) ] -}
  [0#, 0] |-> [0#, 1, 0] {- Many [ DP (Top 3) (Mirror (Input 7)) , DP (Top 1) (Mirror (Input 0)) ] -}
  [0#, 0] |-> [0#, 1, 0, 1] {- Many [ DP (Top 2) (Mirror (Input 8)) , DP (Top 1) (Mirror (Input 2)) ] -}
  [0#, 0] |-> [0#, 1, 0, 1, 3] {- DP (Top 1) (Mirror (Input 13)) -}
  [0#, 0] |-> [0#, 1, 1, 1] {- DP (Top 2) (Mirror (Input 11)) -}
  [0#, 0] |-> [0#, 1, 2] {- DP (Top 2) (Mirror (Input 6)) -}
  [0#, 0] |-> [0#, 1, 3] {- DP (Top 3) (Mirror (Input 13)) -}
  [0#, 0] |-> [0#, 1, 4, 0, 1] {- DP (Top 1) (Mirror (Input 10)) -}
  [0#, 0] |-> [0#, 2, 0, 1] {- Many [ DP (Top 1) (Mirror (Input 4)) , DP (Top 0) (Mirror (Input 1)) ] -}
  [0#, 0] |-> [0#, 2, 0, 1, 1, 1] {- DP (Top 0) (Mirror (Input 11)) -}
  [0#, 0] |-> [0#, 2, 0, 1, 2] {- DP (Top 0) (Mirror (Input 6)) -}
  [0#, 0] |-> [0#, 2, 1, 0, 1] {- DP (Top 0) (Mirror (Input 3)) -}
  [0#, 0] |-> [0#, 2, 2, 0, 1] {- DP (Top 0) (Mirror (Input 5)) -}
  [0#, 0] |-> [0#, 3] {- DP (Top 4) (Mirror (Input 12)) -}
  [0#, 0] |-> [0#, 3, 1, 0, 1] {- DP (Top 1) (Mirror (Input 9)) -}
  [0#, 0] |-> [0#, 4, 0, 3] {- DP (Top 2) (Mirror (Input 12)) -}
  [0#, 0, 0] |-> [0#, 0, 3] {- DP (Top 3) (Mirror (Input 15)) -}
  [0#, 0, 0] |-> [0#, 1, 0] {- DP (Top 3) (Mirror (Input 14)) -}
  [0#, 0, 0] |-> [0#, 1, 0, 0, 3] {- DP (Top 1) (Mirror (Input 15)) -}
  [0#, 0, 0] |-> [0#, 3] {- DP (Top 4) (Mirror (Input 15)) -}
  [0#, 0, 0] |-> [0#, 4, 0, 1, 0] {- DP (Top 1) (Mirror (Input 14)) -}
  [0#, 0, 1, 5] |-> [0#] {- DP (Top 5) (Mirror (Input 28)) -}
  [0#, 0, 1, 5] |-> [0#, 1, 3, 0] {- DP (Top 2) (Mirror (Input 28)) -}
  [0#, 0, 3] |-> [0#, 2, 0, 3] {- DP (Top 1) (Mirror (Input 16)) -}
  [0#, 0, 3] |-> [0#, 4, 2, 0, 3] {- DP (Top 1) (Mirror (Input 17)) -}
  [0#, 0, 3, 4, 5] |-> [0#, 1] {- DP (Top 4) (Mirror (Input 44)) -}
  [0#, 0, 3, 4, 5] |-> [0#, 4, 0, 1] {- DP (Top 2) (Mirror (Input 44)) -}
  [0#, 0, 4, 1, 5] |-> [0#] {- DP (Top 5) (Mirror (Input 42)) -}
  [0#, 0, 4, 1, 5] |-> [0#, 5, 2, 0] {- DP (Top 2) (Mirror (Input 42)) -}
  [0#, 0, 4, 3] |-> [0#] {- DP (Top 5) (Mirror (Input 26)) -}
  [0#, 0, 4, 3] |-> [0#, 3] {- DP (Top 4) (Mirror (Input 27)) -}
  [0#, 0, 4, 3] |-> [0#, 3, 3, 0] {- DP (Top 2) (Mirror (Input 26)) -}
  [0#, 0, 4, 3] |-> [0#, 3, 5, 4, 0, 3] {- DP (Top 0) (Mirror (Input 27)) -}
  [0#, 0, 4, 5] |-> [0#] {- DP (Top 5) (Mirror (Input 34)) -}
  [0#, 0, 4, 5] |-> [0#, 5, 5, 4, 0] {- DP (Top 1) (Mirror (Input 34)) -}
  [0#, 2, 2, 5] |-> [0#] {- DP (Top 5) (Mirror (Input 31)) -}
  [0#, 2, 3, 3, 5] |-> [0#, 3, 3, 2, 5] {- DP (Top 1) (Mirror (Input 43)) -}
  [0#, 2, 3, 5] |-> [0#, 3, 5] {- DP (Top 2) (Mirror (Input 32)) -}
  [0#, 2, 3, 5] |-> [0#, 3, 5, 3, 3] {- DP (Top 1) (Mirror (Input 33)) -}
  [0#, 2, 4, 5] |-> [0#, 5] {- DP (Top 3) (Mirror (Input 36)) -}
  [0#, 2, 4, 5] |-> [0#, 5, 3, 4, 2] {- DP (Top 0) (Mirror (Input 35)) -}
  [0#, 2, 4, 5] |-> [0#, 5, 4, 5] {- DP (Top 1) (Mirror (Input 37)) -}
  [0#, 2, 5] |-> [0#] {- Many [ DP (Top 4) (Mirror (Input 20)) , DP (Top 3) (Mirror (Input 18)) ] -}
  [0#, 2, 5] |-> [0#, 1] {- DP (Top 3) (Mirror (Input 21)) -}
  [0#, 2, 5] |-> [0#, 1, 5] {- DP (Top 2) (Mirror (Input 22)) -}
  [0#, 2, 5] |-> [0#, 1, 5, 3, 5] {- DP (Top 1) (Mirror (Input 24)) -}
  [0#, 2, 5] |-> [0#, 5] {- DP (Top 4) (Mirror (Input 23)) -}
  [0#, 2, 5] |-> [0#, 5, 3] {- DP (Top 1) (Mirror (Input 19)) -}
  [0#, 2, 5, 0] |-> [0#, 5, 0] {- DP (Top 2) (Mirror (Input 25)) -}
  [0#, 2, 5, 0, 5] |-> [0#] {- DP (Top 5) (Mirror (Input 41)) -}
  [0#, 2, 5, 0, 5] |-> [0#, 5, 5, 3, 0] {- DP (Top 1) (Mirror (Input 41)) -}
  [0#, 2, 5, 3, 0] |-> [0#, 3] {- DP (Top 4) (Mirror (Input 38)) -}
  [0#, 2, 5, 3, 0] |-> [0#, 3, 5, 2, 0, 3] {- DP (Top 0) (Mirror (Input 38)) -}
  [0#, 2, 5, 3, 3] |-> [0#, 3, 2, 5, 3] {- DP (Top 1) (Mirror (Input 39)) -}
  [0#, 2, 5, 3, 3] |-> [0#, 5, 3, 3, 4] {- DP (Top 1) (Mirror (Input 40)) -}
  [0#, 4, 1, 5] |-> [0#] {- DP (Top 4) (Mirror (Input 29)) -}
  [0#, 5, 1, 5] |-> [0#, 1, 5] {- DP (Top 2) (Mirror (Input 30)) -}
reason
  (0, 14/1)
   property Termination
has value Just True
for SRS
  [0, 0] ->= [2, 0, 1, 0] {- DP Nontop (Mirror (Input 0)) -}
  [0, 0] ->= [0, 2, 0, 1] {- DP Nontop (Mirror (Input 1)) -}
  [0, 0] ->= [1, 0, 1, 0, 1] {- DP Nontop (Mirror (Input 2)) -}
  [0, 0] ->= [0, 2, 1, 0, 1] {- DP Nontop (Mirror (Input 3)) -}
  [0, 0] ->= [3, 0, 2, 0, 1] {- DP Nontop (Mirror (Input 4)) -}
  [0, 0] ->= [0, 2, 2, 0, 1] {- DP Nontop (Mirror (Input 5)) -}
  [0, 0] ->= [0, 2, 0, 1, 2] {- DP Nontop (Mirror (Input 6)) -}
  [0, 0] ->= [2, 1, 2, 0, 1, 0] {- DP Nontop (Mirror (Input 7)) -}
  [0, 0] ->= [2, 2, 0, 1, 0, 1] {- DP Nontop (Mirror (Input 8)) -}
  [0, 0] ->= [1, 0, 3, 1, 0, 1] {- DP Nontop (Mirror (Input 9)) -}
  [0, 0] ->= [2, 0, 1, 4, 0, 1] {- DP Nontop (Mirror (Input 10)) -}
  [0, 0] ->= [0, 2, 0, 1, 1, 1] {- DP Nontop (Mirror (Input 11)) -}
  [0, 0] ->= [2, 2, 0, 4, 0, 3] {- DP Nontop (Mirror (Input 12)) -}
  [0, 0] ->= [4, 0, 1, 0, 1, 3] {- DP Nontop (Mirror (Input 13)) -}
  [0, 0, 0] ->= [4, 0, 4, 0, 1, 0] {- DP Nontop (Mirror (Input 14)) -}
  [0, 0, 0] ->= [2, 0, 1, 0, 0, 3] {- DP Nontop (Mirror (Input 15)) -}
  [0, 0, 3] ->= [3, 0, 2, 0, 3] {- DP Nontop (Mirror (Input 16)) -}
  [0, 0, 3] ->= [2, 0, 4, 2, 0, 3] {- DP Nontop (Mirror (Input 17)) -}
  [0, 2, 5] ->= [5, 3, 2, 0] {- DP Nontop (Mirror (Input 18)) -}
  [0, 2, 5] ->= [2, 0, 5, 3] {- DP Nontop (Mirror (Input 19)) -}
  [0, 2, 5] ->= [5, 3, 3, 2, 0] {- DP Nontop (Mirror (Input 20)) -}
  [0, 2, 5] ->= [5, 3, 2, 0, 1] {- DP Nontop (Mirror (Input 21)) -}
  [0, 2, 5] ->= [4, 2, 0, 1, 5] {- DP Nontop (Mirror (Input 22)) -}
  [0, 2, 5] ->= [2, 2, 2, 1, 0, 5] {- DP Nontop (Mirror (Input 23)) -}
  [0, 2, 5] ->= [2, 0, 1, 5, 3, 5] {- DP Nontop (Mirror (Input 24)) -}
  [0, 2, 5, 0] ->= [2, 2, 0, 5, 0] {- DP Nontop (Mirror (Input 25)) -}
  [0, 0, 4, 3] ->= [5, 4, 0, 3, 3, 0] {- DP Nontop (Mirror (Input 26)) -}
  [0, 0, 4, 3] ->= [0, 3, 5, 4, 0, 3] {- DP Nontop (Mirror (Input 27)) -}
  [0, 0, 1, 5] ->= [5, 1, 0, 1, 3, 0] {- DP Nontop (Mirror (Input 28)) -}
  [0, 4, 1, 5] ->= [4, 2, 5, 1, 0] {- DP Nontop (Mirror (Input 29)) -}
  [0, 5, 1, 5] ->= [5, 3, 0, 1, 5] {- DP Nontop (Mirror (Input 30)) -}
  [0, 2, 2, 5] ->= [5, 4, 2, 1, 2, 0] {- DP Nontop (Mirror (Input 31)) -}
  [0, 2, 3, 5] ->= [2, 1, 0, 3, 5] {- DP Nontop (Mirror (Input 32)) -}
  [0, 2, 3, 5] ->= [2, 0, 3, 5, 3, 3] {- DP Nontop (Mirror (Input 33)) -}
  [0, 0, 4, 5] ->= [2, 0, 5, 5, 4, 0] {- DP Nontop (Mirror (Input 34)) -}
  [0, 2, 4, 5] ->= [0, 5, 3, 4, 2] {- DP Nontop (Mirror (Input 35)) -}
  [0, 2, 4, 5] ->= [4, 2, 2, 0, 5] {- DP Nontop (Mirror (Input 36)) -}
  [0, 2, 4, 5] ->= [2, 0, 5, 4, 5] {- DP Nontop (Mirror (Input 37)) -}
  [0, 2, 5, 3, 0] ->= [0, 3, 5, 2, 0, 3] {- DP Nontop (Mirror (Input 38)) -}
  [0, 2, 5, 3, 3] ->= [2, 0, 3, 2, 5, 3] {- DP Nontop (Mirror (Input 39)) -}
  [0, 2, 5, 3, 3] ->= [2, 0, 5, 3, 3, 4] {- DP Nontop (Mirror (Input 40)) -}
  [0, 2, 5, 0, 5] ->= [2, 0, 5, 5, 3, 0] {- DP Nontop (Mirror (Input 41)) -}
  [0, 0, 4, 1, 5] ->= [4, 1, 0, 5, 2, 0] {- DP Nontop (Mirror (Input 42)) -}
  [0, 2, 3, 3, 5] ->= [2, 0, 3, 3, 2, 5] {- DP Nontop (Mirror (Input 43)) -}
  [0, 0, 3, 4, 5] ->= [5, 3, 0, 4, 0, 1] {- DP Nontop (Mirror (Input 44)) -}
  [0#, 0] |-> [0#, 1, 0] {- Many [ DP (Top 3) (Mirror (Input 7)) , DP (Top 1) (Mirror (Input 0)) ] -}
  [0#, 0] |-> [0#, 1, 0, 1] {- Many [ DP (Top 2) (Mirror (Input 8)) , DP (Top 1) (Mirror (Input 2)) ] -}
  [0#, 0] |-> [0#, 1, 0, 1, 3] {- DP (Top 1) (Mirror (Input 13)) -}
  [0#, 0] |-> [0#, 1, 4, 0, 1] {- DP (Top 1) (Mirror (Input 10)) -}
  [0#, 0] |-> [0#, 2, 0, 1] {- Many [ DP (Top 1) (Mirror (Input 4)) , DP (Top 0) (Mirror (Input 1)) ] -}
  [0#, 0] |-> [0#, 2, 0, 1, 1, 1] {- DP (Top 0) (Mirror (Input 11)) -}
  [0#, 0] |-> [0#, 2, 0, 1, 2] {- DP (Top 0) (Mirror (Input 6)) -}
  [0#, 0] |-> [0#, 2, 1, 0, 1] {- DP (Top 0) (Mirror (Input 3)) -}
  [0#, 0] |-> [0#, 2, 2, 0, 1] {- DP (Top 0) (Mirror (Input 5)) -}
  [0#, 0] |-> [0#, 3, 1, 0, 1] {- DP (Top 1) (Mirror (Input 9)) -}
  [0#, 0] |-> [0#, 4, 0, 3] {- DP (Top 2) (Mirror (Input 12)) -}
  [0#, 0, 0] |-> [0#, 1, 0, 0, 3] {- DP (Top 1) (Mirror (Input 15)) -}
  [0#, 0, 0] |-> [0#, 4, 0, 1, 0] {- DP (Top 1) (Mirror (Input 14)) -}
  [0#, 0, 1, 5] |-> [0#, 1, 3, 0] {- DP (Top 2) (Mirror (Input 28)) -}
  [0#, 0, 3] |-> [0#, 2, 0, 3] {- DP (Top 1) (Mirror (Input 16)) -}
  [0#, 0, 3] |-> [0#, 4, 2, 0, 3] {- DP (Top 1) (Mirror (Input 17)) -}
  [0#, 0, 3, 4, 5] |-> [0#, 4, 0, 1] {- DP (Top 2) (Mirror (Input 44)) -}
  [0#, 0, 4, 1, 5] |-> [0#, 5, 2, 0] {- DP (Top 2) (Mirror (Input 42)) -}
  [0#, 0, 4, 3] |-> [0#, 3, 3, 0] {- DP (Top 2) (Mirror (Input 26)) -}
  [0#, 0, 4, 3] |-> [0#, 3, 5, 4, 0, 3] {- DP (Top 0) (Mirror (Input 27)) -}
  [0#, 0, 4, 5] |-> [0#, 5, 5, 4, 0] {- DP (Top 1) (Mirror (Input 34)) -}
  [0#, 2, 2, 5] |-> [0#] {- DP (Top 5) (Mirror (Input 31)) -}
  [0#, 2, 3, 3, 5] |-> [0#, 3, 3, 2, 5] {- DP (Top 1) (Mirror (Input 43)) -}
  [0#, 2, 3, 5] |-> [0#, 3, 5] {- DP (Top 2) (Mirror (Input 32)) -}
  [0#, 2, 3, 5] |-> [0#, 3, 5, 3, 3] {- DP (Top 1) (Mirror (Input 33)) -}
  [0#, 2, 4, 5] |-> [0#, 5] {- DP (Top 3) (Mirror (Input 36)) -}
  [0#, 2, 4, 5] |-> [0#, 5, 3, 4, 2] {- DP (Top 0) (Mirror (Input 35)) -}
  [0#, 2, 4, 5] |-> [0#, 5, 4, 5] {- DP (Top 1) (Mirror (Input 37)) -}
  [0#, 2, 5] |-> [0#] {- Many [ DP (Top 4) (Mirror (Input 20)) , DP (Top 3) (Mirror (Input 18)) ] -}
  [0#, 2, 5] |-> [0#, 1] {- DP (Top 3) (Mirror (Input 21)) -}
  [0#, 2, 5] |-> [0#, 1, 5] {- DP (Top 2) (Mirror (Input 22)) -}
  [0#, 2, 5] |-> [0#, 1, 5, 3, 5] {- DP (Top 1) (Mirror (Input 24)) -}
  [0#, 2, 5] |-> [0#, 5] {- DP (Top 4) (Mirror (Input 23)) -}
  [0#, 2, 5] |-> [0#, 5, 3] {- DP (Top 1) (Mirror (Input 19)) -}
  [0#, 2, 5, 0] |-> [0#, 5, 0] {- DP (Top 2) (Mirror (Input 25)) -}
  [0#, 2, 5, 0, 5] |-> [0#, 5, 5, 3, 0] {- DP (Top 1) (Mirror (Input 41)) -}
  [0#, 2, 5, 3, 0] |-> [0#, 3, 5, 2, 0, 3] {- DP (Top 0) (Mirror (Input 38)) -}
  [0#, 2, 5, 3, 3] |-> [0#, 3, 2, 5, 3] {- DP (Top 1) (Mirror (Input 39)) -}
  [0#, 2, 5, 3, 3] |-> [0#, 5, 3, 3, 4] {- DP (Top 1) (Mirror (Input 40)) -}
  [0#, 4, 1, 5] |-> [0#] {- DP (Top 4) (Mirror (Input 29)) -}
  [0#, 5, 1, 5] |-> [0#, 1, 5] {- DP (Top 2) (Mirror (Input 30)) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [0#, 2, 2, 5] |-> [0#] {- DP (Top 5) (Mirror (Input 31)) -}
  [0#, 4, 1, 5] |-> [0#] {- DP (Top 4) (Mirror (Input 29)) -}
  [0#, 2, 5] |-> [0#] {- Many [ DP (Top 4) (Mirror (Input 20)) , DP (Top 3) (Mirror (Input 18)) ] -}
reason
  Usable
   property Termination
has value Just True
for SRS
  [0#, 2, 2, 5] |-> [0#] {- DP (Top 5) (Mirror (Input 31)) -}
  [0#, 4, 1, 5] |-> [0#] {- DP (Top 4) (Mirror (Input 29)) -}
  [0#, 2, 5] |-> [0#] {- Many [ DP (Top 4) (Mirror (Input 20)) , DP (Top 3) (Mirror (Input 18)) ] -}
reason
  (2, 2/1)
  (1, 1/1)
  (4, 1/1)
  (5, 3/1)
   property Termination
has value Just True
for SRS
  
reason
  no strict rules

**************************************************
skeleton: \Mirror(45,6)\Deepee(57/45,7)\Weight(41/45,7)\EDG\Usable(3,5)\Weight(0,0)[]
**************************************************
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)
**************************************************

**************************************************