/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 8 rules on 6 letters weights SRS with 6 rules on 6 letters tile all, by Config { method = Forward,width = 2,unlabel = False} SRS with 84 rules on 21 letters weights SRS with 68 rules on 16 letters unlabel SRS with 5 rules on 4 letters Matchbound { method = RFC, max_size = Nothing, max_bound = Nothing, verbose = False, tracing = False} matchbound 2 certified by automaton with 117 states ************************************************** proof ************************************************** property Termination has value Just True for SRS [g, h] -> [g, f, s] {- Input 0 -} [f, s, s, s] -> [h, f, s, h] {- Input 1 -} [f, h] -> [h, f, s, h] {- Input 2 -} [h] -> [] {- Input 3 -} [f, f, s, s] -> [s, s, s, f, f] {- Input 4 -} [b, a] -> [a, b] {- Input 5 -} [a, a, a] -> [b, a, a, b] {- Input 6 -} [b, b, b, b] -> [a] {- Input 7 -} reason (b, 1/1) (a, 3/1) property Termination has value Just True for SRS [g, h] -> [g, f, s] {- Input 0 -} [f, s, s, s] -> [h, f, s, h] {- Input 1 -} [f, h] -> [h, f, s, h] {- Input 2 -} [h] -> [] {- Input 3 -} [f, f, s, s] -> [s, s, s, f, f] {- Input 4 -} [b, a] -> [a, b] {- Input 5 -} reason Tiling { method = Forward, width = 2, state_type = Bit64, map_type = Enum, unlabel = False, print_completion_steps = False, print_tiles = False, verbose = False, tracing = False} steps 2 using 25 tiles tile all rules steps: 2 property Termination has value Just True for SRS [[<, g], [g, h], [h, >]] -> [ [<, g] , [g, f] , [f, s] , [s, >] ] {- Semlab 0 (Concon 0 (Input 0)) -} [[<, g], [g, h], [h, h]] -> [ [<, g] , [g, f] , [f, s] , [s, h] ] {- Semlab 0 (Concon 1 (Input 0)) -} [[<, g], [g, h], [h, f]] -> [ [<, g] , [g, f] , [f, s] , [s, f] ] {- Semlab 0 (Concon 2 (Input 0)) -} [[<, g], [g, h], [h, s]] -> [ [<, g] , [g, f] , [f, s] , [s, s] ] {- Semlab 0 (Concon 3 (Input 0)) -} [[<, f], [f, s], [s, s], [s, s], [s, >]] -> [ [<, h] , [h, f] , [f, s] , [s, h] , [ h , > ] ] {- Semlab 0 (Concon 0 (Input 1)) -} [[<, f], [f, s], [s, s], [s, s], [s, h]] -> [ [<, h] , [h, f] , [f, s] , [s, h] , [ h , h ] ] {- Semlab 0 (Concon 1 (Input 1)) -} [[<, f], [f, s], [s, s], [s, s], [s, f]] -> [ [<, h] , [h, f] , [f, s] , [s, h] , [ h , f ] ] {- Semlab 0 (Concon 2 (Input 1)) -} [[<, f], [f, s], [s, s], [s, s], [s, s]] -> [ [<, h] , [h, f] , [f, s] , [s, h] , [ h , s ] ] {- Semlab 0 (Concon 3 (Input 1)) -} [[g, f], [f, s], [s, s], [s, s], [s, >]] -> [ [g, h] , [h, f] , [f, s] , [s, h] , [ h , > ] ] {- Semlab 1 (Concon 0 (Input 1)) -} [[g, f], [f, s], [s, s], [s, s], [s, h]] -> [ [g, h] , [h, f] , [f, s] , [s, h] , [ h , h ] ] {- Semlab 1 (Concon 1 (Input 1)) -} [[g, f], [f, s], [s, s], [s, s], [s, f]] -> [ [g, h] , [h, f] , [f, s] , [s, h] , [ h , f ] ] {- Semlab 1 (Concon 2 (Input 1)) -} [[g, f], [f, s], [s, s], [s, s], [s, s]] -> [ [g, h] , [h, f] , [f, s] , [s, h] , [ h , s ] ] {- Semlab 1 (Concon 3 (Input 1)) -} [[h, f], [f, s], [s, s], [s, s], [s, >]] -> [ [h, h] , [h, f] , [f, s] , [s, h] , [ h , > ] ] {- Semlab 2 (Concon 0 (Input 1)) -} [[h, f], [f, s], [s, s], [s, s], [s, h]] -> [ [h, h] , [h, f] , [f, s] , [s, h] , [ h , h ] ] {- Semlab 2 (Concon 1 (Input 1)) -} [[h, f], [f, s], [s, s], [s, s], [s, f]] -> [ [h, h] , [h, f] , [f, s] , [s, h] , [ h , f ] ] {- Semlab 2 (Concon 2 (Input 1)) -} [[h, f], [f, s], [s, s], [s, s], [s, s]] -> [ [h, h] , [h, f] , [f, s] , [s, h] , [ h , s ] ] {- Semlab 2 (Concon 3 (Input 1)) -} [[f, f], [f, s], [s, s], [s, s], [s, >]] -> [ [f, h] , [h, f] , [f, s] , [s, h] , [ h , > ] ] {- Semlab 3 (Concon 0 (Input 1)) -} [[f, f], [f, s], [s, s], [s, s], [s, h]] -> [ [f, h] , [h, f] , [f, s] , [s, h] , [ h , h ] ] {- Semlab 3 (Concon 1 (Input 1)) -} [[f, f], [f, s], [s, s], [s, s], [s, f]] -> [ [f, h] , [h, f] , [f, s] , [s, h] , [ h , f ] ] {- Semlab 3 (Concon 2 (Input 1)) -} [[f, f], [f, s], [s, s], [s, s], [s, s]] -> [ [f, h] , [h, f] , [f, s] , [s, h] , [ h , s ] ] {- Semlab 3 (Concon 3 (Input 1)) -} [[s, f], [f, s], [s, s], [s, s], [s, >]] -> [ [s, h] , [h, f] , [f, s] , [s, h] , [ h , > ] ] {- Semlab 4 (Concon 0 (Input 1)) -} [[s, f], [f, s], [s, s], [s, s], [s, h]] -> [ [s, h] , [h, f] , [f, s] , [s, h] , [ h , h ] ] {- Semlab 4 (Concon 1 (Input 1)) -} [[s, f], [f, s], [s, s], [s, s], [s, f]] -> [ [s, h] , [h, f] , [f, s] , [s, h] , [ h , f ] ] {- Semlab 4 (Concon 2 (Input 1)) -} [[s, f], [f, s], [s, s], [s, s], [s, s]] -> [ [s, h] , [h, f] , [f, s] , [s, h] , [ h , s ] ] {- Semlab 4 (Concon 3 (Input 1)) -} [[<, f], [f, h], [h, >]] -> [ [<, h] , [h, f] , [f, s] , [s, h] , [h, >] ] {- Semlab 0 (Concon 0 (Input 2)) -} [[<, f], [f, h], [h, h]] -> [ [<, h] , [h, f] , [f, s] , [s, h] , [h, h] ] {- Semlab 0 (Concon 1 (Input 2)) -} [[<, f], [f, h], [h, f]] -> [ [<, h] , [h, f] , [f, s] , [s, h] , [h, f] ] {- Semlab 0 (Concon 2 (Input 2)) -} [[<, f], [f, h], [h, s]] -> [ [<, h] , [h, f] , [f, s] , [s, h] , [h, s] ] {- Semlab 0 (Concon 3 (Input 2)) -} [[g, f], [f, h], [h, >]] -> [ [g, h] , [h, f] , [f, s] , [s, h] , [h, >] ] {- Semlab 1 (Concon 0 (Input 2)) -} [[g, f], [f, h], [h, h]] -> [ [g, h] , [h, f] , [f, s] , [s, h] , [h, h] ] {- Semlab 1 (Concon 1 (Input 2)) -} [[g, f], [f, h], [h, f]] -> [ [g, h] , [h, f] , [f, s] , [s, h] , [h, f] ] {- Semlab 1 (Concon 2 (Input 2)) -} [[g, f], [f, h], [h, s]] -> [ [g, h] , [h, f] , [f, s] , [s, h] , [h, s] ] {- Semlab 1 (Concon 3 (Input 2)) -} [[h, f], [f, h], [h, >]] -> [ [h, h] , [h, f] , [f, s] , [s, h] , [h, >] ] {- Semlab 2 (Concon 0 (Input 2)) -} [[h, f], [f, h], [h, h]] -> [ [h, h] , [h, f] , [f, s] , [s, h] , [h, h] ] {- Semlab 2 (Concon 1 (Input 2)) -} [[h, f], [f, h], [h, f]] -> [ [h, h] , [h, f] , [f, s] , [s, h] , [h, f] ] {- Semlab 2 (Concon 2 (Input 2)) -} [[h, f], [f, h], [h, s]] -> [ [h, h] , [h, f] , [f, s] , [s, h] , [h, s] ] {- Semlab 2 (Concon 3 (Input 2)) -} [[f, f], [f, h], [h, >]] -> [ [f, h] , [h, f] , [f, s] , [s, h] , [h, >] ] {- Semlab 3 (Concon 0 (Input 2)) -} [[f, f], [f, h], [h, h]] -> [ [f, h] , [h, f] , [f, s] , [s, h] , [h, h] ] {- Semlab 3 (Concon 1 (Input 2)) -} [[f, f], [f, h], [h, f]] -> [ [f, h] , [h, f] , [f, s] , [s, h] , [h, f] ] {- Semlab 3 (Concon 2 (Input 2)) -} [[f, f], [f, h], [h, s]] -> [ [f, h] , [h, f] , [f, s] , [s, h] , [h, s] ] {- Semlab 3 (Concon 3 (Input 2)) -} [[s, f], [f, h], [h, >]] -> [ [s, h] , [h, f] , [f, s] , [s, h] , [h, >] ] {- Semlab 4 (Concon 0 (Input 2)) -} [[s, f], [f, h], [h, h]] -> [ [s, h] , [h, f] , [f, s] , [s, h] , [h, h] ] {- Semlab 4 (Concon 1 (Input 2)) -} [[s, f], [f, h], [h, f]] -> [ [s, h] , [h, f] , [f, s] , [s, h] , [h, f] ] {- Semlab 4 (Concon 2 (Input 2)) -} [[s, f], [f, h], [h, s]] -> [ [s, h] , [h, f] , [f, s] , [s, h] , [h, s] ] {- Semlab 4 (Concon 3 (Input 2)) -} [[<, h], [h, >]] -> [[<, >]] {- Semlab 0 (Concon 0 (Input 3)) -} [[<, h], [h, h]] -> [[<, h]] {- Semlab 0 (Concon 1 (Input 3)) -} [[<, h], [h, f]] -> [[<, f]] {- Semlab 0 (Concon 2 (Input 3)) -} [[<, h], [h, s]] -> [[<, s]] {- Semlab 0 (Concon 3 (Input 3)) -} [[g, h], [h, >]] -> [[g, >]] {- Semlab 1 (Concon 0 (Input 3)) -} [[g, h], [h, h]] -> [[g, h]] {- Semlab 1 (Concon 1 (Input 3)) -} [[g, h], [h, f]] -> [[g, f]] {- Semlab 1 (Concon 2 (Input 3)) -} [[g, h], [h, s]] -> [[g, s]] {- Semlab 1 (Concon 3 (Input 3)) -} [[h, h], [h, >]] -> [[h, >]] {- Semlab 2 (Concon 0 (Input 3)) -} [[h, h], [h, h]] -> [[h, h]] {- Semlab 2 (Concon 1 (Input 3)) -} [[h, h], [h, f]] -> [[h, f]] {- Semlab 2 (Concon 2 (Input 3)) -} [[h, h], [h, s]] -> [[h, s]] {- Semlab 2 (Concon 3 (Input 3)) -} [[f, h], [h, >]] -> [[f, >]] {- Semlab 3 (Concon 0 (Input 3)) -} [[f, h], [h, h]] -> [[f, h]] {- Semlab 3 (Concon 1 (Input 3)) -} [[f, h], [h, f]] -> [[f, f]] {- Semlab 3 (Concon 2 (Input 3)) -} [[f, h], [h, s]] -> [[f, s]] {- Semlab 3 (Concon 3 (Input 3)) -} [[s, h], [h, >]] -> [[s, >]] {- Semlab 4 (Concon 0 (Input 3)) -} [[s, h], [h, h]] -> [[s, h]] {- Semlab 4 (Concon 1 (Input 3)) -} [[s, h], [h, f]] -> [[s, f]] {- Semlab 4 (Concon 2 (Input 3)) -} [[s, h], [h, s]] -> [[s, s]] {- Semlab 4 (Concon 3 (Input 3)) -} [[<, f], [f, f], [f, s], [s, s], [s, >]] -> [ [<, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , > ] ] {- Semlab 0 (Concon 0 (Input 4)) -} [[<, f], [f, f], [f, s], [s, s], [s, h]] -> [ [<, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , h ] ] {- Semlab 0 (Concon 1 (Input 4)) -} [[<, f], [f, f], [f, s], [s, s], [s, f]] -> [ [<, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , f ] ] {- Semlab 0 (Concon 2 (Input 4)) -} [[<, f], [f, f], [f, s], [s, s], [s, s]] -> [ [<, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , s ] ] {- Semlab 0 (Concon 3 (Input 4)) -} [[g, f], [f, f], [f, s], [s, s], [s, >]] -> [ [g, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , > ] ] {- Semlab 1 (Concon 0 (Input 4)) -} [[g, f], [f, f], [f, s], [s, s], [s, h]] -> [ [g, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , h ] ] {- Semlab 1 (Concon 1 (Input 4)) -} [[g, f], [f, f], [f, s], [s, s], [s, f]] -> [ [g, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , f ] ] {- Semlab 1 (Concon 2 (Input 4)) -} [[g, f], [f, f], [f, s], [s, s], [s, s]] -> [ [g, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , s ] ] {- Semlab 1 (Concon 3 (Input 4)) -} [[h, f], [f, f], [f, s], [s, s], [s, >]] -> [ [h, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , > ] ] {- Semlab 2 (Concon 0 (Input 4)) -} [[h, f], [f, f], [f, s], [s, s], [s, h]] -> [ [h, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , h ] ] {- Semlab 2 (Concon 1 (Input 4)) -} [[h, f], [f, f], [f, s], [s, s], [s, f]] -> [ [h, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , f ] ] {- Semlab 2 (Concon 2 (Input 4)) -} [[h, f], [f, f], [f, s], [s, s], [s, s]] -> [ [h, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , s ] ] {- Semlab 2 (Concon 3 (Input 4)) -} [[f, f], [f, f], [f, s], [s, s], [s, >]] -> [ [f, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , > ] ] {- Semlab 3 (Concon 0 (Input 4)) -} [[f, f], [f, f], [f, s], [s, s], [s, h]] -> [ [f, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , h ] ] {- Semlab 3 (Concon 1 (Input 4)) -} [[f, f], [f, f], [f, s], [s, s], [s, f]] -> [ [f, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , f ] ] {- Semlab 3 (Concon 2 (Input 4)) -} [[f, f], [f, f], [f, s], [s, s], [s, s]] -> [ [f, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , s ] ] {- Semlab 3 (Concon 3 (Input 4)) -} [[s, f], [f, f], [f, s], [s, s], [s, >]] -> [ [s, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , > ] ] {- Semlab 4 (Concon 0 (Input 4)) -} [[s, f], [f, f], [f, s], [s, s], [s, h]] -> [ [s, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , h ] ] {- Semlab 4 (Concon 1 (Input 4)) -} [[s, f], [f, f], [f, s], [s, s], [s, f]] -> [ [s, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , f ] ] {- Semlab 4 (Concon 2 (Input 4)) -} [[s, f], [f, f], [f, s], [s, s], [s, s]] -> [ [s, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , s ] ] {- Semlab 4 (Concon 3 (Input 4)) -} reason ([g, h], 1/1) ([h, >], 1/1) ([g, f], 1/1) ([s, >], 1/1) ([<, f], 1/4) ([<, h], 1/4) property Termination has value Just True for SRS [[<, g], [g, h], [h, >]] -> [ [<, g] , [g, f] , [f, s] , [s, >] ] {- Semlab 0 (Concon 0 (Input 0)) -} [[<, g], [g, h], [h, h]] -> [ [<, g] , [g, f] , [f, s] , [s, h] ] {- Semlab 0 (Concon 1 (Input 0)) -} [[<, g], [g, h], [h, f]] -> [ [<, g] , [g, f] , [f, s] , [s, f] ] {- Semlab 0 (Concon 2 (Input 0)) -} [[<, g], [g, h], [h, s]] -> [ [<, g] , [g, f] , [f, s] , [s, s] ] {- Semlab 0 (Concon 3 (Input 0)) -} [[<, f], [f, s], [s, s], [s, s], [s, >]] -> [ [<, h] , [h, f] , [f, s] , [s, h] , [ h , > ] ] {- Semlab 0 (Concon 0 (Input 1)) -} [[<, f], [f, s], [s, s], [s, s], [s, h]] -> [ [<, h] , [h, f] , [f, s] , [s, h] , [ h , h ] ] {- Semlab 0 (Concon 1 (Input 1)) -} [[<, f], [f, s], [s, s], [s, s], [s, f]] -> [ [<, h] , [h, f] , [f, s] , [s, h] , [ h , f ] ] {- Semlab 0 (Concon 2 (Input 1)) -} [[<, f], [f, s], [s, s], [s, s], [s, s]] -> [ [<, h] , [h, f] , [f, s] , [s, h] , [ h , s ] ] {- Semlab 0 (Concon 3 (Input 1)) -} [[g, f], [f, s], [s, s], [s, s], [s, >]] -> [ [g, h] , [h, f] , [f, s] , [s, h] , [ h , > ] ] {- Semlab 1 (Concon 0 (Input 1)) -} [[g, f], [f, s], [s, s], [s, s], [s, h]] -> [ [g, h] , [h, f] , [f, s] , [s, h] , [ h , h ] ] {- Semlab 1 (Concon 1 (Input 1)) -} [[g, f], [f, s], [s, s], [s, s], [s, f]] -> [ [g, h] , [h, f] , [f, s] , [s, h] , [ h , f ] ] {- Semlab 1 (Concon 2 (Input 1)) -} [[g, f], [f, s], [s, s], [s, s], [s, s]] -> [ [g, h] , [h, f] , [f, s] , [s, h] , [ h , s ] ] {- Semlab 1 (Concon 3 (Input 1)) -} [[h, f], [f, s], [s, s], [s, s], [s, >]] -> [ [h, h] , [h, f] , [f, s] , [s, h] , [ h , > ] ] {- Semlab 2 (Concon 0 (Input 1)) -} [[h, f], [f, s], [s, s], [s, s], [s, h]] -> [ [h, h] , [h, f] , [f, s] , [s, h] , [ h , h ] ] {- Semlab 2 (Concon 1 (Input 1)) -} [[h, f], [f, s], [s, s], [s, s], [s, f]] -> [ [h, h] , [h, f] , [f, s] , [s, h] , [ h , f ] ] {- Semlab 2 (Concon 2 (Input 1)) -} [[h, f], [f, s], [s, s], [s, s], [s, s]] -> [ [h, h] , [h, f] , [f, s] , [s, h] , [ h , s ] ] {- Semlab 2 (Concon 3 (Input 1)) -} [[f, f], [f, s], [s, s], [s, s], [s, >]] -> [ [f, h] , [h, f] , [f, s] , [s, h] , [ h , > ] ] {- Semlab 3 (Concon 0 (Input 1)) -} [[f, f], [f, s], [s, s], [s, s], [s, h]] -> [ [f, h] , [h, f] , [f, s] , [s, h] , [ h , h ] ] {- Semlab 3 (Concon 1 (Input 1)) -} [[f, f], [f, s], [s, s], [s, s], [s, f]] -> [ [f, h] , [h, f] , [f, s] , [s, h] , [ h , f ] ] {- Semlab 3 (Concon 2 (Input 1)) -} [[f, f], [f, s], [s, s], [s, s], [s, s]] -> [ [f, h] , [h, f] , [f, s] , [s, h] , [ h , s ] ] {- Semlab 3 (Concon 3 (Input 1)) -} [[s, f], [f, s], [s, s], [s, s], [s, >]] -> [ [s, h] , [h, f] , [f, s] , [s, h] , [ h , > ] ] {- Semlab 4 (Concon 0 (Input 1)) -} [[s, f], [f, s], [s, s], [s, s], [s, h]] -> [ [s, h] , [h, f] , [f, s] , [s, h] , [ h , h ] ] {- Semlab 4 (Concon 1 (Input 1)) -} [[s, f], [f, s], [s, s], [s, s], [s, f]] -> [ [s, h] , [h, f] , [f, s] , [s, h] , [ h , f ] ] {- Semlab 4 (Concon 2 (Input 1)) -} [[s, f], [f, s], [s, s], [s, s], [s, s]] -> [ [s, h] , [h, f] , [f, s] , [s, h] , [ h , s ] ] {- Semlab 4 (Concon 3 (Input 1)) -} [[<, f], [f, h], [h, >]] -> [ [<, h] , [h, f] , [f, s] , [s, h] , [h, >] ] {- Semlab 0 (Concon 0 (Input 2)) -} [[<, f], [f, h], [h, h]] -> [ [<, h] , [h, f] , [f, s] , [s, h] , [h, h] ] {- Semlab 0 (Concon 1 (Input 2)) -} [[<, f], [f, h], [h, f]] -> [ [<, h] , [h, f] , [f, s] , [s, h] , [h, f] ] {- Semlab 0 (Concon 2 (Input 2)) -} [[<, f], [f, h], [h, s]] -> [ [<, h] , [h, f] , [f, s] , [s, h] , [h, s] ] {- Semlab 0 (Concon 3 (Input 2)) -} [[g, f], [f, h], [h, >]] -> [ [g, h] , [h, f] , [f, s] , [s, h] , [h, >] ] {- Semlab 1 (Concon 0 (Input 2)) -} [[g, f], [f, h], [h, h]] -> [ [g, h] , [h, f] , [f, s] , [s, h] , [h, h] ] {- Semlab 1 (Concon 1 (Input 2)) -} [[g, f], [f, h], [h, f]] -> [ [g, h] , [h, f] , [f, s] , [s, h] , [h, f] ] {- Semlab 1 (Concon 2 (Input 2)) -} [[g, f], [f, h], [h, s]] -> [ [g, h] , [h, f] , [f, s] , [s, h] , [h, s] ] {- Semlab 1 (Concon 3 (Input 2)) -} [[h, f], [f, h], [h, >]] -> [ [h, h] , [h, f] , [f, s] , [s, h] , [h, >] ] {- Semlab 2 (Concon 0 (Input 2)) -} [[h, f], [f, h], [h, h]] -> [ [h, h] , [h, f] , [f, s] , [s, h] , [h, h] ] {- Semlab 2 (Concon 1 (Input 2)) -} [[h, f], [f, h], [h, f]] -> [ [h, h] , [h, f] , [f, s] , [s, h] , [h, f] ] {- Semlab 2 (Concon 2 (Input 2)) -} [[h, f], [f, h], [h, s]] -> [ [h, h] , [h, f] , [f, s] , [s, h] , [h, s] ] {- Semlab 2 (Concon 3 (Input 2)) -} [[f, f], [f, h], [h, >]] -> [ [f, h] , [h, f] , [f, s] , [s, h] , [h, >] ] {- Semlab 3 (Concon 0 (Input 2)) -} [[f, f], [f, h], [h, h]] -> [ [f, h] , [h, f] , [f, s] , [s, h] , [h, h] ] {- Semlab 3 (Concon 1 (Input 2)) -} [[f, f], [f, h], [h, f]] -> [ [f, h] , [h, f] , [f, s] , [s, h] , [h, f] ] {- Semlab 3 (Concon 2 (Input 2)) -} [[f, f], [f, h], [h, s]] -> [ [f, h] , [h, f] , [f, s] , [s, h] , [h, s] ] {- Semlab 3 (Concon 3 (Input 2)) -} [[s, f], [f, h], [h, >]] -> [ [s, h] , [h, f] , [f, s] , [s, h] , [h, >] ] {- Semlab 4 (Concon 0 (Input 2)) -} [[s, f], [f, h], [h, h]] -> [ [s, h] , [h, f] , [f, s] , [s, h] , [h, h] ] {- Semlab 4 (Concon 1 (Input 2)) -} [[s, f], [f, h], [h, f]] -> [ [s, h] , [h, f] , [f, s] , [s, h] , [h, f] ] {- Semlab 4 (Concon 2 (Input 2)) -} [[s, f], [f, h], [h, s]] -> [ [s, h] , [h, f] , [f, s] , [s, h] , [h, s] ] {- Semlab 4 (Concon 3 (Input 2)) -} [[<, h], [h, h]] -> [[<, h]] {- Semlab 0 (Concon 1 (Input 3)) -} [[<, h], [h, f]] -> [[<, f]] {- Semlab 0 (Concon 2 (Input 3)) -} [[g, h], [h, h]] -> [[g, h]] {- Semlab 1 (Concon 1 (Input 3)) -} [[g, h], [h, f]] -> [[g, f]] {- Semlab 1 (Concon 2 (Input 3)) -} [[h, h], [h, >]] -> [[h, >]] {- Semlab 2 (Concon 0 (Input 3)) -} [[h, h], [h, h]] -> [[h, h]] {- Semlab 2 (Concon 1 (Input 3)) -} [[h, h], [h, f]] -> [[h, f]] {- Semlab 2 (Concon 2 (Input 3)) -} [[h, h], [h, s]] -> [[h, s]] {- Semlab 2 (Concon 3 (Input 3)) -} [[f, h], [h, h]] -> [[f, h]] {- Semlab 3 (Concon 1 (Input 3)) -} [[f, h], [h, f]] -> [[f, f]] {- Semlab 3 (Concon 2 (Input 3)) -} [[f, h], [h, s]] -> [[f, s]] {- Semlab 3 (Concon 3 (Input 3)) -} [[s, h], [h, >]] -> [[s, >]] {- Semlab 4 (Concon 0 (Input 3)) -} [[s, h], [h, h]] -> [[s, h]] {- Semlab 4 (Concon 1 (Input 3)) -} [[s, h], [h, f]] -> [[s, f]] {- Semlab 4 (Concon 2 (Input 3)) -} [[s, h], [h, s]] -> [[s, s]] {- Semlab 4 (Concon 3 (Input 3)) -} [[h, f], [f, f], [f, s], [s, s], [s, h]] -> [ [h, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , h ] ] {- Semlab 2 (Concon 1 (Input 4)) -} [[h, f], [f, f], [f, s], [s, s], [s, f]] -> [ [h, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , f ] ] {- Semlab 2 (Concon 2 (Input 4)) -} [[h, f], [f, f], [f, s], [s, s], [s, s]] -> [ [h, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , s ] ] {- Semlab 2 (Concon 3 (Input 4)) -} [[f, f], [f, f], [f, s], [s, s], [s, h]] -> [ [f, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , h ] ] {- Semlab 3 (Concon 1 (Input 4)) -} [[f, f], [f, f], [f, s], [s, s], [s, f]] -> [ [f, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , f ] ] {- Semlab 3 (Concon 2 (Input 4)) -} [[f, f], [f, f], [f, s], [s, s], [s, s]] -> [ [f, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , s ] ] {- Semlab 3 (Concon 3 (Input 4)) -} [[s, f], [f, f], [f, s], [s, s], [s, h]] -> [ [s, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , h ] ] {- Semlab 4 (Concon 1 (Input 4)) -} [[s, f], [f, f], [f, s], [s, s], [s, f]] -> [ [s, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , f ] ] {- Semlab 4 (Concon 2 (Input 4)) -} [[s, f], [f, f], [f, s], [s, s], [s, s]] -> [ [s, s] , [s, s] , [s, s] , [s, f] , [f, f] , [ f , s ] ] {- Semlab 4 (Concon 3 (Input 4)) -} reason unlabel property Termination has value Just True for SRS [0, 1] -> [0, 2, 3] {- Input 0 -} [2, 3, 3, 3] -> [1, 2, 3, 1] {- Input 1 -} [2, 1] -> [1, 2, 3, 1] {- Input 2 -} [1] -> [] {- Input 3 -} [2, 2, 3, 3] -> [3, 3, 3, 2, 2] {- Input 4 -} reason Matchbound Matchbound { method = RFC, max_size = Nothing, max_bound = Nothing, verbose = False, tracing = False} matchbound 2 certified by automaton with 117 states ************************************************** skeleton: (8,6)\Weight(6,6)\TileAllRFC{2}(84,21)\Weight(68,16)\Unlabel(5,4)\Rfcmatchbound{2}[] ************************************************** 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)])