/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 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, 17/172) (1, 13/172) (2, 13/172) (3, 13/172) (4, 3/43) (5, 17/172) 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, 1/395) (3, 13/4740) (2, 13/4740) (5, 17/4740) (0, 17/4740) (1, 13/4740) (5#, 1/1185) 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;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)])