/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 13 rules on 3 letters DP SRS with 14 strict rules and 13 weak rules on 4 letters EDG SRS with 14 strict rules and 13 weak rules on 4 letters Matrix { monotone = Weak, domain = Arctic, shape = Full, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = False} SRS with 0 strict rules and 13 weak rules on 3 letters EDG ************************************************** proof ************************************************** property Termination has value Just True for SRS [0, 1, 2, 1] -> [1, 2, 1, 1, 0, 1, 2, 0, 1, 2] {- Input 0 -} [0, 1, 2, 1] -> [1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2] {- Input 1 -} [0, 1, 2, 1] -> [1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2] {- Input 2 -} [0, 1, 2, 1] -> [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Input 3 -} [0, 1, 2, 1] -> [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Input 4 -} [0, 1, 2, 1] -> [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Input 5 -} [0, 1, 2, 1] -> [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Input 6 -} [0, 1, 2, 1] -> [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Input 7 -} [0, 1, 2, 1] -> [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Input 8 -} [0, 1, 2, 1] -> [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Input 9 -} [0, 1, 2, 1] -> [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Input 10 -} [0, 1, 2, 1] -> [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Input 11 -} [0, 1, 2, 1] -> [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Input 12 -} reason DP property Termination has value Just True for SRS [0, 1, 2, 1] ->= [1, 2, 1, 1, 0, 1, 2, 0, 1, 2] {- DP Nontop (Input 0) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 1) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 2) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 3) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 4) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 5) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 6) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 7) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 8) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 9) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 10) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 11) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 12) -} [0#, 1, 2, 1] |-> [0#, 1, 2] {- Many [ DP (Top 43) (Input 12) , DP (Top 40) (Input 11) , DP (Top 37) (Input 10) , DP (Top 34) (Input 9) , DP (Top 31) (Input 8) , DP (Top 28) (Input 7) , DP (Top 25) (Input 6) , DP (Top 22) (Input 5) , DP (Top 19) (Input 4) , DP (Top 16) (Input 3) , DP (Top 13) (Input 2) , DP (Top 10) (Input 1) , DP (Top 7) (Input 0) ] -} [0#, 1, 2, 1] |-> [0#, 1, 2, 0, 1, 2] {- Many [ DP (Top 40) (Input 12) , DP (Top 37) (Input 11) , DP (Top 34) (Input 10) , DP (Top 31) (Input 9) , DP (Top 28) (Input 8) , DP (Top 25) (Input 7) , DP (Top 22) (Input 6) , DP (Top 19) (Input 5) , DP (Top 16) (Input 4) , DP (Top 13) (Input 3) , DP (Top 10) (Input 2) , DP (Top 7) (Input 1) , DP (Top 4) (Input 0) ] -} [0#, 1, 2, 1] |-> [0#, 1, 2, 0, 1, 2, 0, 1, 2] {- Many [ DP (Top 37) (Input 12) , DP (Top 34) (Input 11) , DP (Top 31) (Input 10) , DP (Top 28) (Input 9) , DP (Top 25) (Input 8) , DP (Top 22) (Input 7) , DP (Top 19) (Input 6) , DP (Top 16) (Input 5) , DP (Top 13) (Input 4) , DP (Top 10) (Input 3) , DP (Top 7) (Input 2) , DP (Top 4) (Input 1) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 34) (Input 12) , DP (Top 31) (Input 11) , DP (Top 28) (Input 10) , DP (Top 25) (Input 9) , DP (Top 22) (Input 8) , DP (Top 19) (Input 7) , DP (Top 16) (Input 6) , DP (Top 13) (Input 5) , DP (Top 10) (Input 4) , DP (Top 7) (Input 3) , DP (Top 4) (Input 2) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 31) (Input 12) , DP (Top 28) (Input 11) , DP (Top 25) (Input 10) , DP (Top 22) (Input 9) , DP (Top 19) (Input 8) , DP (Top 16) (Input 7) , DP (Top 13) (Input 6) , DP (Top 10) (Input 5) , DP (Top 7) (Input 4) , DP (Top 4) (Input 3) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 28) (Input 12) , DP (Top 25) (Input 11) , DP (Top 22) (Input 10) , DP (Top 19) (Input 9) , DP (Top 16) (Input 8) , DP (Top 13) (Input 7) , DP (Top 10) (Input 6) , DP (Top 7) (Input 5) , DP (Top 4) (Input 4) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 25) (Input 12) , DP (Top 22) (Input 11) , DP (Top 19) (Input 10) , DP (Top 16) (Input 9) , DP (Top 13) (Input 8) , DP (Top 10) (Input 7) , DP (Top 7) (Input 6) , DP (Top 4) (Input 5) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 22) (Input 12) , DP (Top 19) (Input 11) , DP (Top 16) (Input 10) , DP (Top 13) (Input 9) , DP (Top 10) (Input 8) , DP (Top 7) (Input 7) , DP (Top 4) (Input 6) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 19) (Input 12) , DP (Top 16) (Input 11) , DP (Top 13) (Input 10) , DP (Top 10) (Input 9) , DP (Top 7) (Input 8) , DP (Top 4) (Input 7) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 16) (Input 12) , DP (Top 13) (Input 11) , DP (Top 10) (Input 10) , DP (Top 7) (Input 9) , DP (Top 4) (Input 8) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 13) (Input 12) , DP (Top 10) (Input 11) , DP (Top 7) (Input 10) , DP (Top 4) (Input 9) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 10) (Input 12) , DP (Top 7) (Input 11) , DP (Top 4) (Input 10) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 7) (Input 12) , DP (Top 4) (Input 11) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP (Top 4) (Input 12) -} reason EDG property Termination has value Just True for SRS [0#, 1, 2, 1] |-> [0#, 1, 2] {- Many [ DP (Top 43) (Input 12) , DP (Top 40) (Input 11) , DP (Top 37) (Input 10) , DP (Top 34) (Input 9) , DP (Top 31) (Input 8) , DP (Top 28) (Input 7) , DP (Top 25) (Input 6) , DP (Top 22) (Input 5) , DP (Top 19) (Input 4) , DP (Top 16) (Input 3) , DP (Top 13) (Input 2) , DP (Top 10) (Input 1) , DP (Top 7) (Input 0) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP (Top 4) (Input 12) -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 7) (Input 12) , DP (Top 4) (Input 11) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 10) (Input 12) , DP (Top 7) (Input 11) , DP (Top 4) (Input 10) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 13) (Input 12) , DP (Top 10) (Input 11) , DP (Top 7) (Input 10) , DP (Top 4) (Input 9) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 16) (Input 12) , DP (Top 13) (Input 11) , DP (Top 10) (Input 10) , DP (Top 7) (Input 9) , DP (Top 4) (Input 8) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 19) (Input 12) , DP (Top 16) (Input 11) , DP (Top 13) (Input 10) , DP (Top 10) (Input 9) , DP (Top 7) (Input 8) , DP (Top 4) (Input 7) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 22) (Input 12) , DP (Top 19) (Input 11) , DP (Top 16) (Input 10) , DP (Top 13) (Input 9) , DP (Top 10) (Input 8) , DP (Top 7) (Input 7) , DP (Top 4) (Input 6) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 25) (Input 12) , DP (Top 22) (Input 11) , DP (Top 19) (Input 10) , DP (Top 16) (Input 9) , DP (Top 13) (Input 8) , DP (Top 10) (Input 7) , DP (Top 7) (Input 6) , DP (Top 4) (Input 5) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 28) (Input 12) , DP (Top 25) (Input 11) , DP (Top 22) (Input 10) , DP (Top 19) (Input 9) , DP (Top 16) (Input 8) , DP (Top 13) (Input 7) , DP (Top 10) (Input 6) , DP (Top 7) (Input 5) , DP (Top 4) (Input 4) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 31) (Input 12) , DP (Top 28) (Input 11) , DP (Top 25) (Input 10) , DP (Top 22) (Input 9) , DP (Top 19) (Input 8) , DP (Top 16) (Input 7) , DP (Top 13) (Input 6) , DP (Top 10) (Input 5) , DP (Top 7) (Input 4) , DP (Top 4) (Input 3) ] -} [0#, 1, 2, 1] |-> [ 0# , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Many [ DP (Top 34) (Input 12) , DP (Top 31) (Input 11) , DP (Top 28) (Input 10) , DP (Top 25) (Input 9) , DP (Top 22) (Input 8) , DP (Top 19) (Input 7) , DP (Top 16) (Input 6) , DP (Top 13) (Input 5) , DP (Top 10) (Input 4) , DP (Top 7) (Input 3) , DP (Top 4) (Input 2) ] -} [0#, 1, 2, 1] |-> [0#, 1, 2, 0, 1, 2, 0, 1, 2] {- Many [ DP (Top 37) (Input 12) , DP (Top 34) (Input 11) , DP (Top 31) (Input 10) , DP (Top 28) (Input 9) , DP (Top 25) (Input 8) , DP (Top 22) (Input 7) , DP (Top 19) (Input 6) , DP (Top 16) (Input 5) , DP (Top 13) (Input 4) , DP (Top 10) (Input 3) , DP (Top 7) (Input 2) , DP (Top 4) (Input 1) ] -} [0#, 1, 2, 1] |-> [0#, 1, 2, 0, 1, 2] {- Many [ DP (Top 40) (Input 12) , DP (Top 37) (Input 11) , DP (Top 34) (Input 10) , DP (Top 31) (Input 9) , DP (Top 28) (Input 8) , DP (Top 25) (Input 7) , DP (Top 22) (Input 6) , DP (Top 19) (Input 5) , DP (Top 16) (Input 4) , DP (Top 13) (Input 3) , DP (Top 10) (Input 2) , DP (Top 7) (Input 1) , DP (Top 4) (Input 0) ] -} [0, 1, 2, 1] ->= [1, 2, 1, 1, 0, 1, 2, 0, 1, 2] {- DP Nontop (Input 0) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 1) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 2) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 3) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 4) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 5) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 6) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 7) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 8) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 9) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 10) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 11) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 12) -} reason ( 0 , Wk / - 0A 2A \ | 0A 5A - | \ - - 0A / ) ( 1 , Wk / 4A - 10A \ | 1A 0A 7A | \ - - 0A / ) ( 2 , Wk / - - 4A \ | 0A - 6A | \ - - 0A / ) ( 0# , Wk / - 1A 9A \ | - 4A 13A | \ - - 0A / ) property Termination has value Just True for SRS [0, 1, 2, 1] ->= [1, 2, 1, 1, 0, 1, 2, 0, 1, 2] {- DP Nontop (Input 0) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 1) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 2) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 3) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 4) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 5) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 6) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 7) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 8) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 9) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 10) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 11) -} [0, 1, 2, 1] ->= [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- DP Nontop (Input 12) -} reason EDG ************************************************** skeleton: (13,3)\Deepee\EDG(14/13,4)\Matrix{\Arctic}{3}(0/13,3)\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)])