14.14/3.63 YES 14.14/3.63 property Termination 14.14/3.63 has value True 14.14/3.63 for SRS ( [c, b, a] -> [c, b, b], [b, a, c] -> [b, b, c], [c, c, c] -> [b, c, c], [a, c, a] -> [b, c, b], [b, c, b] -> [c, b, c], [a, c, b] -> [b, a, c], [b, b, a] ->= [c, b, b]) 14.14/3.63 reason 14.14/3.63 remap for 7 rules 14.14/3.63 property Termination 14.14/3.63 has value True 14.14/3.63 for SRS ( [0, 1, 2] -> [0, 1, 1], [1, 2, 0] -> [1, 1, 0], [0, 0, 0] -> [1, 0, 0], [2, 0, 2] -> [1, 0, 1], [1, 0, 1] -> [0, 1, 0], [2, 0, 1] -> [1, 2, 0], [1, 1, 2] ->= [0, 1, 1]) 14.14/3.63 reason 14.14/3.63 weights 14.14/3.63 Map [(2, 4/1)] 14.14/3.63 14.14/3.63 property Termination 14.14/3.63 has value True 14.14/3.63 for SRS ( [0, 0, 0] -> [1, 0, 0], [1, 0, 1] -> [0, 1, 0], [2, 0, 1] -> [1, 2, 0]) 14.14/3.63 reason 14.14/3.63 Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} 14.14/3.63 interpretation 14.14/3.63 0 / 1 1 \ 14.14/3.63 \ 0 1 / 14.14/3.63 1 / 1 1 \ 14.14/3.63 \ 0 1 / 14.14/3.63 2 / 2 1 \ 14.14/3.63 \ 0 1 / 14.14/3.63 [0, 0, 0] -> [1, 0, 0] 14.14/3.63 lhs rhs ge gt 14.14/3.63 / 1 3 \ / 1 3 \ True False 14.14/3.63 \ 0 1 / \ 0 1 / 14.14/3.63 [1, 0, 1] -> [0, 1, 0] 14.14/3.63 lhs rhs ge gt 14.14/3.63 / 1 3 \ / 1 3 \ True False 14.14/3.63 \ 0 1 / \ 0 1 / 14.14/3.63 [2, 0, 1] -> [1, 2, 0] 14.14/3.63 lhs rhs ge gt 14.14/3.63 / 2 5 \ / 2 4 \ True True 14.14/3.63 \ 0 1 / \ 0 1 / 14.14/3.63 property Termination 14.14/3.63 has value True 14.14/3.63 for SRS ( [0, 0, 0] -> [1, 0, 0], [1, 0, 1] -> [0, 1, 0]) 14.14/3.63 reason 14.14/3.63 Tiling { method = Overlap, width = 3, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 14.14/3.63 using 16 tiles 14.14/3.63 [ [0, 0, >] , [1, 0, >] , [<, <, 0] , [<, 0, 0] , [<, 1, 0] , [0, 0, 0] , [0, 1, 0] , [1, 0, 0] , [1, 1, 0] , [<, <, 1] , [<, 0, 1] , [<, 1, 1] , [0, 0, 1] , [0, 1, 1] , [1, 0, 1] , [1, 1, 1] ] 14.14/3.63 tile all rules 14.14/3.63 14.14/3.63 property Termination 14.14/3.63 has value True 14.14/3.64 for SRS ( [[<, <, 0], [<, 0, 0], [0, 0, 0], [0, 0, >], [0, >, >]] -> [[<, <, 1], [<, 1, 0], [1, 0, 0], [0, 0, >], [0, >, >]], [[<, <, 0], [<, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, >]] -> [[<, <, 1], [<, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, >]], [[<, <, 0], [<, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]] -> [[<, <, 1], [<, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0]], [[<, <, 0], [<, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 1]] -> [[<, <, 1], [<, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 1]], [[<, <, 0], [<, 0, 0], [0, 0, 0], [0, 0, 1], [0, 1, 0]] -> [[<, <, 1], [<, 1, 0], [1, 0, 0], [0, 0, 1], [0, 1, 0]], [[<, <, 0], [<, 0, 0], [0, 0, 0], [0, 0, 1], [0, 1, 1]] -> [[<, <, 1], [<, 1, 0], [1, 0, 0], [0, 0, 1], [0, 1, 1]], [[<, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, >], [0, >, >]] -> [[<, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, >], [0, >, >]], [[<, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, >]] -> [[<, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, >]], [[<, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]] -> [[<, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0]], [[<, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 1]] -> [[<, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 1]], [[<, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 1], [0, 1, 0]] -> [[<, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 1], [0, 1, 0]], [[<, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 1], [0, 1, 1]] -> [[<, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 1], [0, 1, 1]], [[<, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, >], [0, >, >]] -> [[<, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, >], [0, >, >]], [[<, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, >]] -> [[<, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, >]], [[<, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]] -> [[<, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0]], [[<, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 1]] -> [[<, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 1]], [[<, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 1], [0, 1, 0]] -> [[<, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, 1], [0, 1, 0]], [[<, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 1], [0, 1, 1]] -> [[<, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, 1], [0, 1, 1]], [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, >], [0, >, >]] -> [[0, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, >], [0, >, >]], [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, >]] -> [[0, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, >]], [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]] -> [[0, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0]], [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 1]] -> [[0, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 1]], [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 1], [0, 1, 0]] -> [[0, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 1], [0, 1, 0]], [[0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 1], [0, 1, 1]] -> [[0, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 1], [0, 1, 1]], [[0, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, >], [0, >, >]] -> [[0, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, >], [0, >, >]], [[0, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, >]] -> [[0, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, >]], [[0, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]] -> [[0, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0]], [[0, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 1]] -> [[0, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 1]], [[0, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 1], [0, 1, 0]] -> [[0, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, 1], [0, 1, 0]], [[0, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 1], [0, 1, 1]] -> [[0, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, 1], [0, 1, 1]], [[1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, >], [0, >, >]] -> [[1, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, >], [0, >, >]], [[1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, >]] -> [[1, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, >]], [[1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]] -> [[1, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0]], [[1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 1]] -> [[1, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 1]], [[1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 1], [0, 1, 0]] -> [[1, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 1], [0, 1, 0]], [[1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 1], [0, 1, 1]] -> [[1, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 1], [0, 1, 1]], [[1, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, >], [0, >, >]] -> [[1, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, >], [0, >, >]], [[1, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, >]] -> [[1, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, >]], [[1, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0]] -> [[1, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0]], [[1, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 1]] -> [[1, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 1]], [[1, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 1], [0, 1, 0]] -> [[1, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, 1], [0, 1, 0]], [[1, 1, 0], [1, 0, 0], [0, 0, 0], [0, 0, 1], [0, 1, 1]] -> [[1, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, 1], [0, 1, 1]], [[<, <, 1], [<, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, >]] -> [[<, <, 0], [<, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, >]], [[<, <, 1], [<, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 0]] -> [[<, <, 0], [<, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 0]], [[<, <, 1], [<, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 1]] -> [[<, <, 0], [<, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 1]], [[<, <, 1], [<, 1, 0], [1, 0, 1], [0, 1, 1], [1, 1, 0]] -> [[<, <, 0], [<, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0]], [[<, <, 1], [<, 1, 0], [1, 0, 1], [0, 1, 1], [1, 1, 1]] -> [[<, <, 0], [<, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 1]], [[<, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, >]] -> [[<, 0, 0], [0, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, >]], [[<, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 0]] -> [[<, 0, 0], [0, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 0]], [[<, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 1]] -> [[<, 0, 0], [0, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 1]], [[<, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 1], [1, 1, 0]] -> [[<, 0, 0], [0, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0]], [[<, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 1], [1, 1, 1]] -> [[<, 0, 0], [0, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 1]], [[<, 1, 1], [1, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, >]] -> [[<, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, >]], [[<, 1, 1], [1, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 0]] -> [[<, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 0]], [[<, 1, 1], [1, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 1]] -> [[<, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 1]], [[<, 1, 1], [1, 1, 0], [1, 0, 1], [0, 1, 1], [1, 1, 0]] -> [[<, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0]], [[<, 1, 1], [1, 1, 0], [1, 0, 1], [0, 1, 1], [1, 1, 1]] -> [[<, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 1]], [[0, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, >]] -> [[0, 0, 0], [0, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, >]], [[0, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 0]] -> [[0, 0, 0], [0, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 0]], [[0, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 1]] -> [[0, 0, 0], [0, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 1]], [[0, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 1], [1, 1, 0]] -> [[0, 0, 0], [0, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0]], [[0, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 1], [1, 1, 1]] -> [[0, 0, 0], [0, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 1]], [[0, 1, 1], [1, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, >]] -> [[0, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, >]], [[0, 1, 1], [1, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 0]] -> [[0, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 0]], [[0, 1, 1], [1, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 1]] -> [[0, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 1]], [[0, 1, 1], [1, 1, 0], [1, 0, 1], [0, 1, 1], [1, 1, 0]] -> [[0, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0]], [[0, 1, 1], [1, 1, 0], [1, 0, 1], [0, 1, 1], [1, 1, 1]] -> [[0, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 1]], [[1, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, >]] -> [[1, 0, 0], [0, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, >]], [[1, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 0]] -> [[1, 0, 0], [0, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 0]], [[1, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 1]] -> [[1, 0, 0], [0, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 1]], [[1, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 1], [1, 1, 0]] -> [[1, 0, 0], [0, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0]], [[1, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 1], [1, 1, 1]] -> [[1, 0, 0], [0, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 1]], [[1, 1, 1], [1, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, >]] -> [[1, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, >]], [[1, 1, 1], [1, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 0]] -> [[1, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 0]], [[1, 1, 1], [1, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 1]] -> [[1, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 0], [0, 0, 1]], [[1, 1, 1], [1, 1, 0], [1, 0, 1], [0, 1, 1], [1, 1, 0]] -> [[1, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 0]], [[1, 1, 1], [1, 1, 0], [1, 0, 1], [0, 1, 1], [1, 1, 1]] -> [[1, 1, 0], [1, 0, 1], [0, 1, 0], [1, 0, 1], [0, 1, 1]]) 14.14/3.64 reason 14.14/3.64 remap for 77 rules 14.14/3.64 property Termination 14.14/3.64 has value True 14.14/3.64 for SRS ( [0, 1, 2, 3, 4] -> [5, 6, 7, 3, 4], [0, 1, 2, 2, 3] -> [5, 6, 7, 2, 3], [0, 1, 2, 2, 2] -> [5, 6, 7, 2, 2], [0, 1, 2, 2, 8] -> [5, 6, 7, 2, 8], [0, 1, 2, 8, 9] -> [5, 6, 7, 8, 9], [0, 1, 2, 8, 10] -> [5, 6, 7, 8, 10], [1, 2, 2, 3, 4] -> [11, 9, 7, 3, 4], [1, 2, 2, 2, 3] -> [11, 9, 7, 2, 3], [1, 2, 2, 2, 2] -> [11, 9, 7, 2, 2], [1, 2, 2, 2, 8] -> [11, 9, 7, 2, 8], [1, 2, 2, 8, 9] -> [11, 9, 7, 8, 9], [1, 2, 2, 8, 10] -> [11, 9, 7, 8, 10], [6, 7, 2, 3, 4] -> [12, 13, 7, 3, 4], [6, 7, 2, 2, 3] -> [12, 13, 7, 2, 3], [6, 7, 2, 2, 2] -> [12, 13, 7, 2, 2], [6, 7, 2, 2, 8] -> [12, 13, 7, 2, 8], [6, 7, 2, 8, 9] -> [12, 13, 7, 8, 9], [6, 7, 2, 8, 10] -> [12, 13, 7, 8, 10], [2, 2, 2, 3, 4] -> [8, 9, 7, 3, 4], [2, 2, 2, 2, 3] -> [8, 9, 7, 2, 3], [2, 2, 2, 2, 2] -> [8, 9, 7, 2, 2], [2, 2, 2, 2, 8] -> [8, 9, 7, 2, 8], [2, 2, 2, 8, 9] -> [8, 9, 7, 8, 9], [2, 2, 2, 8, 10] -> [8, 9, 7, 8, 10], [9, 7, 2, 3, 4] -> [10, 13, 7, 3, 4], [9, 7, 2, 2, 3] -> [10, 13, 7, 2, 3], [9, 7, 2, 2, 2] -> [10, 13, 7, 2, 2], [9, 7, 2, 2, 8] -> [10, 13, 7, 2, 8], [9, 7, 2, 8, 9] -> [10, 13, 7, 8, 9], [9, 7, 2, 8, 10] -> [10, 13, 7, 8, 10], [7, 2, 2, 3, 4] -> [14, 9, 7, 3, 4], [7, 2, 2, 2, 3] -> [14, 9, 7, 2, 3], [7, 2, 2, 2, 2] -> [14, 9, 7, 2, 2], [7, 2, 2, 2, 8] -> [14, 9, 7, 2, 8], [7, 2, 2, 8, 9] -> [14, 9, 7, 8, 9], [7, 2, 2, 8, 10] -> [14, 9, 7, 8, 10], [13, 7, 2, 3, 4] -> [15, 13, 7, 3, 4], [13, 7, 2, 2, 3] -> [15, 13, 7, 2, 3], [13, 7, 2, 2, 2] -> [15, 13, 7, 2, 2], [13, 7, 2, 2, 8] -> [15, 13, 7, 2, 8], [13, 7, 2, 8, 9] -> [15, 13, 7, 8, 9], [13, 7, 2, 8, 10] -> [15, 13, 7, 8, 10], [5, 6, 14, 9, 16] -> [0, 11, 9, 7, 3], [5, 6, 14, 9, 7] -> [0, 11, 9, 7, 2], [5, 6, 14, 9, 14] -> [0, 11, 9, 7, 8], [5, 6, 14, 10, 13] -> [0, 11, 9, 14, 9], [5, 6, 14, 10, 15] -> [0, 11, 9, 14, 10], [11, 9, 14, 9, 16] -> [1, 8, 9, 7, 3], [11, 9, 14, 9, 7] -> [1, 8, 9, 7, 2], [11, 9, 14, 9, 14] -> [1, 8, 9, 7, 8], [11, 9, 14, 10, 13] -> [1, 8, 9, 14, 9], [11, 9, 14, 10, 15] -> [1, 8, 9, 14, 10], [12, 13, 14, 9, 16] -> [6, 14, 9, 7, 3], [12, 13, 14, 9, 7] -> [6, 14, 9, 7, 2], [12, 13, 14, 9, 14] -> [6, 14, 9, 7, 8], [12, 13, 14, 10, 13] -> [6, 14, 9, 14, 9], [12, 13, 14, 10, 15] -> [6, 14, 9, 14, 10], [8, 9, 14, 9, 16] -> [2, 8, 9, 7, 3], [8, 9, 14, 9, 7] -> [2, 8, 9, 7, 2], [8, 9, 14, 9, 14] -> [2, 8, 9, 7, 8], [8, 9, 14, 10, 13] -> [2, 8, 9, 14, 9], [8, 9, 14, 10, 15] -> [2, 8, 9, 14, 10], [10, 13, 14, 9, 16] -> [9, 14, 9, 7, 3], [10, 13, 14, 9, 7] -> [9, 14, 9, 7, 2], [10, 13, 14, 9, 14] -> [9, 14, 9, 7, 8], [10, 13, 14, 10, 13] -> [9, 14, 9, 14, 9], [10, 13, 14, 10, 15] -> [9, 14, 9, 14, 10], [14, 9, 14, 9, 16] -> [7, 8, 9, 7, 3], [14, 9, 14, 9, 7] -> [7, 8, 9, 7, 2], [14, 9, 14, 9, 14] -> [7, 8, 9, 7, 8], [14, 9, 14, 10, 13] -> [7, 8, 9, 14, 9], [14, 9, 14, 10, 15] -> [7, 8, 9, 14, 10], [15, 13, 14, 9, 16] -> [13, 14, 9, 7, 3], [15, 13, 14, 9, 7] -> [13, 14, 9, 7, 2], [15, 13, 14, 9, 14] -> [13, 14, 9, 7, 8], [15, 13, 14, 10, 13] -> [13, 14, 9, 14, 9], [15, 13, 14, 10, 15] -> [13, 14, 9, 14, 10]) 14.14/3.64 reason 14.14/3.64 weights 14.14/3.64 Map [(2, 1/77), (13, 1/77), (14, 2/77), (15, 1/77), (16, 1/1)] 14.14/3.64 14.14/3.64 property Termination 14.14/3.64 has value True 14.14/3.64 for SRS ( [6, 7, 2, 3, 4] -> [12, 13, 7, 3, 4], [6, 7, 2, 2, 3] -> [12, 13, 7, 2, 3], [6, 7, 2, 2, 2] -> [12, 13, 7, 2, 2], [6, 7, 2, 2, 8] -> [12, 13, 7, 2, 8], [6, 7, 2, 8, 9] -> [12, 13, 7, 8, 9], [6, 7, 2, 8, 10] -> [12, 13, 7, 8, 10], [9, 7, 2, 3, 4] -> [10, 13, 7, 3, 4], [9, 7, 2, 2, 3] -> [10, 13, 7, 2, 3], [9, 7, 2, 2, 2] -> [10, 13, 7, 2, 2], [9, 7, 2, 2, 8] -> [10, 13, 7, 2, 8], [9, 7, 2, 8, 9] -> [10, 13, 7, 8, 9], [9, 7, 2, 8, 10] -> [10, 13, 7, 8, 10], [7, 2, 2, 3, 4] -> [14, 9, 7, 3, 4], [7, 2, 2, 2, 3] -> [14, 9, 7, 2, 3], [7, 2, 2, 2, 2] -> [14, 9, 7, 2, 2], [7, 2, 2, 2, 8] -> [14, 9, 7, 2, 8], [7, 2, 2, 8, 9] -> [14, 9, 7, 8, 9], [7, 2, 2, 8, 10] -> [14, 9, 7, 8, 10], [13, 7, 2, 3, 4] -> [15, 13, 7, 3, 4], [13, 7, 2, 2, 3] -> [15, 13, 7, 2, 3], [13, 7, 2, 2, 2] -> [15, 13, 7, 2, 2], [13, 7, 2, 2, 8] -> [15, 13, 7, 2, 8], [13, 7, 2, 8, 9] -> [15, 13, 7, 8, 9], [13, 7, 2, 8, 10] -> [15, 13, 7, 8, 10], [12, 13, 14, 9, 7] -> [6, 14, 9, 7, 2], [12, 13, 14, 10, 13] -> [6, 14, 9, 14, 9], [12, 13, 14, 10, 15] -> [6, 14, 9, 14, 10], [8, 9, 14, 9, 7] -> [2, 8, 9, 7, 2], [8, 9, 14, 10, 13] -> [2, 8, 9, 14, 9], [8, 9, 14, 10, 15] -> [2, 8, 9, 14, 10], [10, 13, 14, 9, 7] -> [9, 14, 9, 7, 2], [10, 13, 14, 10, 13] -> [9, 14, 9, 14, 9], [10, 13, 14, 10, 15] -> [9, 14, 9, 14, 10], [15, 13, 14, 9, 7] -> [13, 14, 9, 7, 2], [15, 13, 14, 10, 13] -> [13, 14, 9, 14, 9], [15, 13, 14, 10, 15] -> [13, 14, 9, 14, 10]) 14.14/3.64 reason 14.14/3.64 Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 14.14/3.64 using 36 tiles 14.14/3.65 [ [2, >] , [3, >] , [4, >] , [8, >] , [9, >] , [10, >] , [<, 2] , [2, 2] , [7, 2] , [2, 3] , [7, 3] , [3, 4] , [<, 6] , [9, 7] , [13, 7] , [2, 8] , [7, 8] , [<, 9] , [8, 9] , [14, 9] , [<, 10] , [8, 10] , [14, 10] , [<, 12] , [<, 13] , [10, 13] , [12, 13] , [15, 13] , [<, 14] , [6, 14] , [9, 14] , [13, 14] , [<, 15] , [10, 15] , [12, 15] , [15, 15] ] 14.14/3.65 remove some unmatched rules 14.14/3.65 14.14/3.65 property Termination 14.14/3.65 has value True 14.14/3.65 for SRS ( [[9], [7], [2], [3], [4]] -> [[10], [13], [7], [3], [4]], [[9], [7], [2], [2], [3]] -> [[10], [13], [7], [2], [3]], [[9], [7], [2], [2], [2]] -> [[10], [13], [7], [2], [2]], [[9], [7], [2], [2], [8]] -> [[10], [13], [7], [2], [8]], [[9], [7], [2], [8], [9]] -> [[10], [13], [7], [8], [9]], [[9], [7], [2], [8], [10]] -> [[10], [13], [7], [8], [10]], [[7], [2], [2], [3], [4]] -> [[14], [9], [7], [3], [4]], [[7], [2], [2], [2], [3]] -> [[14], [9], [7], [2], [3]], [[7], [2], [2], [2], [2]] -> [[14], [9], [7], [2], [2]], [[7], [2], [2], [2], [8]] -> [[14], [9], [7], [2], [8]], [[7], [2], [2], [8], [9]] -> [[14], [9], [7], [8], [9]], [[7], [2], [2], [8], [10]] -> [[14], [9], [7], [8], [10]], [[13], [7], [2], [3], [4]] -> [[15], [13], [7], [3], [4]], [[13], [7], [2], [2], [3]] -> [[15], [13], [7], [2], [3]], [[13], [7], [2], [2], [2]] -> [[15], [13], [7], [2], [2]], [[13], [7], [2], [2], [8]] -> [[15], [13], [7], [2], [8]], [[13], [7], [2], [8], [9]] -> [[15], [13], [7], [8], [9]], [[13], [7], [2], [8], [10]] -> [[15], [13], [7], [8], [10]], [[12], [13], [14], [9], [7]] -> [[6], [14], [9], [7], [2]], [[12], [13], [14], [10], [13]] -> [[6], [14], [9], [14], [9]], [[12], [13], [14], [10], [15]] -> [[6], [14], [9], [14], [10]], [[8], [9], [14], [9], [7]] -> [[2], [8], [9], [7], [2]], [[8], [9], [14], [10], [13]] -> [[2], [8], [9], [14], [9]], [[8], [9], [14], [10], [15]] -> [[2], [8], [9], [14], [10]], [[10], [13], [14], [9], [7]] -> [[9], [14], [9], [7], [2]], [[10], [13], [14], [10], [13]] -> [[9], [14], [9], [14], [9]], [[10], [13], [14], [10], [15]] -> [[9], [14], [9], [14], [10]], [[15], [13], [14], [9], [7]] -> [[13], [14], [9], [7], [2]], [[15], [13], [14], [10], [13]] -> [[13], [14], [9], [14], [9]], [[15], [13], [14], [10], [15]] -> [[13], [14], [9], [14], [10]]) 14.14/3.65 reason 14.14/3.65 remap for 30 rules 14.14/3.65 property Termination 14.14/3.65 has value True 14.14/3.65 for SRS ( [0, 1, 2, 3, 4] -> [5, 6, 1, 3, 4], [0, 1, 2, 2, 3] -> [5, 6, 1, 2, 3], [0, 1, 2, 2, 2] -> [5, 6, 1, 2, 2], [0, 1, 2, 2, 7] -> [5, 6, 1, 2, 7], [0, 1, 2, 7, 0] -> [5, 6, 1, 7, 0], [0, 1, 2, 7, 5] -> [5, 6, 1, 7, 5], [1, 2, 2, 3, 4] -> [8, 0, 1, 3, 4], [1, 2, 2, 2, 3] -> [8, 0, 1, 2, 3], [1, 2, 2, 2, 2] -> [8, 0, 1, 2, 2], [1, 2, 2, 2, 7] -> [8, 0, 1, 2, 7], [1, 2, 2, 7, 0] -> [8, 0, 1, 7, 0], [1, 2, 2, 7, 5] -> [8, 0, 1, 7, 5], [6, 1, 2, 3, 4] -> [9, 6, 1, 3, 4], [6, 1, 2, 2, 3] -> [9, 6, 1, 2, 3], [6, 1, 2, 2, 2] -> [9, 6, 1, 2, 2], [6, 1, 2, 2, 7] -> [9, 6, 1, 2, 7], [6, 1, 2, 7, 0] -> [9, 6, 1, 7, 0], [6, 1, 2, 7, 5] -> [9, 6, 1, 7, 5], [10, 6, 8, 0, 1] -> [11, 8, 0, 1, 2], [10, 6, 8, 5, 6] -> [11, 8, 0, 8, 0], [10, 6, 8, 5, 9] -> [11, 8, 0, 8, 5], [7, 0, 8, 0, 1] -> [2, 7, 0, 1, 2], [7, 0, 8, 5, 6] -> [2, 7, 0, 8, 0], [7, 0, 8, 5, 9] -> [2, 7, 0, 8, 5], [5, 6, 8, 0, 1] -> [0, 8, 0, 1, 2], [5, 6, 8, 5, 6] -> [0, 8, 0, 8, 0], [5, 6, 8, 5, 9] -> [0, 8, 0, 8, 5], [9, 6, 8, 0, 1] -> [6, 8, 0, 1, 2], [9, 6, 8, 5, 6] -> [6, 8, 0, 8, 0], [9, 6, 8, 5, 9] -> [6, 8, 0, 8, 5]) 14.14/3.65 reason 14.14/3.65 weights 14.14/3.65 Map [(10, 3/1)] 14.14/3.65 14.14/3.65 property Termination 14.14/3.65 has value True 14.14/3.65 for SRS ( [0, 1, 2, 3, 4] -> [5, 6, 1, 3, 4], [0, 1, 2, 2, 3] -> [5, 6, 1, 2, 3], [0, 1, 2, 2, 2] -> [5, 6, 1, 2, 2], [0, 1, 2, 2, 7] -> [5, 6, 1, 2, 7], [0, 1, 2, 7, 0] -> [5, 6, 1, 7, 0], [0, 1, 2, 7, 5] -> [5, 6, 1, 7, 5], [1, 2, 2, 3, 4] -> [8, 0, 1, 3, 4], [1, 2, 2, 2, 3] -> [8, 0, 1, 2, 3], [1, 2, 2, 2, 2] -> [8, 0, 1, 2, 2], [1, 2, 2, 2, 7] -> [8, 0, 1, 2, 7], [1, 2, 2, 7, 0] -> [8, 0, 1, 7, 0], [1, 2, 2, 7, 5] -> [8, 0, 1, 7, 5], [6, 1, 2, 3, 4] -> [9, 6, 1, 3, 4], [6, 1, 2, 2, 3] -> [9, 6, 1, 2, 3], [6, 1, 2, 2, 2] -> [9, 6, 1, 2, 2], [6, 1, 2, 2, 7] -> [9, 6, 1, 2, 7], [6, 1, 2, 7, 0] -> [9, 6, 1, 7, 0], [6, 1, 2, 7, 5] -> [9, 6, 1, 7, 5], [7, 0, 8, 0, 1] -> [2, 7, 0, 1, 2], [7, 0, 8, 5, 6] -> [2, 7, 0, 8, 0], [7, 0, 8, 5, 9] -> [2, 7, 0, 8, 5], [5, 6, 8, 0, 1] -> [0, 8, 0, 1, 2], [5, 6, 8, 5, 6] -> [0, 8, 0, 8, 0], [5, 6, 8, 5, 9] -> [0, 8, 0, 8, 5], [9, 6, 8, 0, 1] -> [6, 8, 0, 1, 2], [9, 6, 8, 5, 6] -> [6, 8, 0, 8, 0], [9, 6, 8, 5, 9] -> [6, 8, 0, 8, 5]) 14.14/3.65 reason 14.14/3.65 reverse each lhs and rhs 14.14/3.65 property Termination 14.14/3.65 has value True 14.14/3.65 for SRS ( [4, 3, 2, 1, 0] -> [4, 3, 1, 6, 5], [3, 2, 2, 1, 0] -> [3, 2, 1, 6, 5], [2, 2, 2, 1, 0] -> [2, 2, 1, 6, 5], [7, 2, 2, 1, 0] -> [7, 2, 1, 6, 5], [0, 7, 2, 1, 0] -> [0, 7, 1, 6, 5], [5, 7, 2, 1, 0] -> [5, 7, 1, 6, 5], [4, 3, 2, 2, 1] -> [4, 3, 1, 0, 8], [3, 2, 2, 2, 1] -> [3, 2, 1, 0, 8], [2, 2, 2, 2, 1] -> [2, 2, 1, 0, 8], [7, 2, 2, 2, 1] -> [7, 2, 1, 0, 8], [0, 7, 2, 2, 1] -> [0, 7, 1, 0, 8], [5, 7, 2, 2, 1] -> [5, 7, 1, 0, 8], [4, 3, 2, 1, 6] -> [4, 3, 1, 6, 9], [3, 2, 2, 1, 6] -> [3, 2, 1, 6, 9], [2, 2, 2, 1, 6] -> [2, 2, 1, 6, 9], [7, 2, 2, 1, 6] -> [7, 2, 1, 6, 9], [0, 7, 2, 1, 6] -> [0, 7, 1, 6, 9], [5, 7, 2, 1, 6] -> [5, 7, 1, 6, 9], [1, 0, 8, 0, 7] -> [2, 1, 0, 7, 2], [6, 5, 8, 0, 7] -> [0, 8, 0, 7, 2], [9, 5, 8, 0, 7] -> [5, 8, 0, 7, 2], [1, 0, 8, 6, 5] -> [2, 1, 0, 8, 0], [6, 5, 8, 6, 5] -> [0, 8, 0, 8, 0], [9, 5, 8, 6, 5] -> [5, 8, 0, 8, 0], [1, 0, 8, 6, 9] -> [2, 1, 0, 8, 6], [6, 5, 8, 6, 9] -> [0, 8, 0, 8, 6], [9, 5, 8, 6, 9] -> [5, 8, 0, 8, 6]) 14.14/3.65 reason 14.14/3.65 Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} 14.14/3.65 interpretation 14.14/3.65 0 / 2 0 \ 14.14/3.65 \ 0 1 / 14.14/3.65 1 / 2 0 \ 14.14/3.65 \ 0 1 / 14.14/3.65 2 / 2 0 \ 14.14/3.65 \ 0 1 / 14.14/3.65 3 / 2 0 \ 14.14/3.65 \ 0 1 / 14.14/3.65 4 / 2 1 \ 14.14/3.65 \ 0 1 / 14.14/3.65 5 / 2 0 \ 14.14/3.65 \ 0 1 / 14.14/3.65 6 / 2 0 \ 14.14/3.65 \ 0 1 / 14.14/3.65 7 / 2 1 \ 14.14/3.65 \ 0 1 / 14.14/3.65 8 / 2 0 \ 14.14/3.65 \ 0 1 / 14.14/3.65 9 / 2 0 \ 14.14/3.65 \ 0 1 / 14.14/3.65 [4, 3, 2, 1, 0] -> [4, 3, 1, 6, 5] 14.14/3.65 lhs rhs ge gt 14.14/3.65 / 32 1 \ / 32 1 \ True False 14.14/3.65 \ 0 1 / \ 0 1 / 14.14/3.65 [3, 2, 2, 1, 0] -> [3, 2, 1, 6, 5] 14.14/3.65 lhs rhs ge gt 14.14/3.65 / 32 0 \ / 32 0 \ True False 14.14/3.65 \ 0 1 / \ 0 1 / 14.14/3.65 [2, 2, 2, 1, 0] -> [2, 2, 1, 6, 5] 14.14/3.65 lhs rhs ge gt 14.14/3.65 / 32 0 \ / 32 0 \ True False 14.14/3.65 \ 0 1 / \ 0 1 / 14.14/3.65 [7, 2, 2, 1, 0] -> [7, 2, 1, 6, 5] 14.14/3.65 lhs rhs ge gt 14.14/3.65 / 32 1 \ / 32 1 \ True False 14.14/3.65 \ 0 1 / \ 0 1 / 14.14/3.65 [0, 7, 2, 1, 0] -> [0, 7, 1, 6, 5] 14.14/3.65 lhs rhs ge gt 14.14/3.65 / 32 2 \ / 32 2 \ True False 14.14/3.65 \ 0 1 / \ 0 1 / 14.14/3.65 [5, 7, 2, 1, 0] -> [5, 7, 1, 6, 5] 14.14/3.65 lhs rhs ge gt 14.14/3.65 / 32 2 \ / 32 2 \ True False 14.14/3.65 \ 0 1 / \ 0 1 / 14.14/3.65 [4, 3, 2, 2, 1] -> [4, 3, 1, 0, 8] 14.14/3.65 lhs rhs ge gt 14.14/3.65 / 32 1 \ / 32 1 \ True False 14.14/3.65 \ 0 1 / \ 0 1 / 14.14/3.65 [3, 2, 2, 2, 1] -> [3, 2, 1, 0, 8] 14.14/3.65 lhs rhs ge gt 14.14/3.65 / 32 0 \ / 32 0 \ True False 14.14/3.65 \ 0 1 / \ 0 1 / 14.14/3.65 [2, 2, 2, 2, 1] -> [2, 2, 1, 0, 8] 14.14/3.65 lhs rhs ge gt 14.14/3.65 / 32 0 \ / 32 0 \ True False 14.14/3.65 \ 0 1 / \ 0 1 / 14.14/3.65 [7, 2, 2, 2, 1] -> [7, 2, 1, 0, 8] 14.14/3.65 lhs rhs ge gt 14.14/3.65 / 32 1 \ / 32 1 \ True False 14.14/3.65 \ 0 1 / \ 0 1 / 14.14/3.65 [0, 7, 2, 2, 1] -> [0, 7, 1, 0, 8] 14.14/3.65 lhs rhs ge gt 14.14/3.65 / 32 2 \ / 32 2 \ True False 14.14/3.65 \ 0 1 / \ 0 1 / 14.14/3.65 [5, 7, 2, 2, 1] -> [5, 7, 1, 0, 8] 14.14/3.65 lhs rhs ge gt 14.14/3.65 / 32 2 \ / 32 2 \ True False 14.14/3.65 \ 0 1 / \ 0 1 / 14.14/3.65 [4, 3, 2, 1, 6] -> [4, 3, 1, 6, 9] 14.14/3.65 lhs rhs ge gt 14.14/3.65 / 32 1 \ / 32 1 \ True False 14.14/3.65 \ 0 1 / \ 0 1 / 14.14/3.65 [3, 2, 2, 1, 6] -> [3, 2, 1, 6, 9] 14.14/3.65 lhs rhs ge gt 14.14/3.65 / 32 0 \ / 32 0 \ True False 14.14/3.65 \ 0 1 / \ 0 1 / 14.14/3.65 [2, 2, 2, 1, 6] -> [2, 2, 1, 6, 9] 14.14/3.66 lhs rhs ge gt 14.14/3.66 / 32 0 \ / 32 0 \ True False 14.14/3.66 \ 0 1 / \ 0 1 / 14.14/3.66 [7, 2, 2, 1, 6] -> [7, 2, 1, 6, 9] 14.14/3.66 lhs rhs ge gt 14.14/3.66 / 32 1 \ / 32 1 \ True False 14.14/3.66 \ 0 1 / \ 0 1 / 14.14/3.66 [0, 7, 2, 1, 6] -> [0, 7, 1, 6, 9] 14.14/3.66 lhs rhs ge gt 14.14/3.66 / 32 2 \ / 32 2 \ True False 14.14/3.66 \ 0 1 / \ 0 1 / 14.14/3.66 [5, 7, 2, 1, 6] -> [5, 7, 1, 6, 9] 14.14/3.66 lhs rhs ge gt 14.14/3.66 / 32 2 \ / 32 2 \ True False 14.14/3.66 \ 0 1 / \ 0 1 / 14.14/3.66 [1, 0, 8, 0, 7] -> [2, 1, 0, 7, 2] 14.14/3.66 lhs rhs ge gt 14.14/3.66 / 32 16 \ / 32 8 \ True True 14.14/3.66 \ 0 1 / \ 0 1 / 14.14/3.66 [6, 5, 8, 0, 7] -> [0, 8, 0, 7, 2] 14.14/3.66 lhs rhs ge gt 14.14/3.66 / 32 16 \ / 32 8 \ True True 14.14/3.66 \ 0 1 / \ 0 1 / 14.14/3.66 [9, 5, 8, 0, 7] -> [5, 8, 0, 7, 2] 14.14/3.66 lhs rhs ge gt 14.14/3.66 / 32 16 \ / 32 8 \ True True 14.14/3.66 \ 0 1 / \ 0 1 / 14.14/3.66 [1, 0, 8, 6, 5] -> [2, 1, 0, 8, 0] 14.14/3.66 lhs rhs ge gt 14.14/3.66 / 32 0 \ / 32 0 \ True False 14.14/3.66 \ 0 1 / \ 0 1 / 14.14/3.66 [6, 5, 8, 6, 5] -> [0, 8, 0, 8, 0] 14.14/3.66 lhs rhs ge gt 14.14/3.66 / 32 0 \ / 32 0 \ True False 14.14/3.66 \ 0 1 / \ 0 1 / 14.14/3.66 [9, 5, 8, 6, 5] -> [5, 8, 0, 8, 0] 14.14/3.66 lhs rhs ge gt 14.14/3.66 / 32 0 \ / 32 0 \ True False 14.14/3.66 \ 0 1 / \ 0 1 / 14.14/3.66 [1, 0, 8, 6, 9] -> [2, 1, 0, 8, 6] 14.14/3.66 lhs rhs ge gt 14.14/3.66 / 32 0 \ / 32 0 \ True False 14.14/3.66 \ 0 1 / \ 0 1 / 14.14/3.66 [6, 5, 8, 6, 9] -> [0, 8, 0, 8, 6] 14.14/3.66 lhs rhs ge gt 14.14/3.66 / 32 0 \ / 32 0 \ True False 14.14/3.66 \ 0 1 / \ 0 1 / 14.14/3.66 [9, 5, 8, 6, 9] -> [5, 8, 0, 8, 6] 14.14/3.66 lhs rhs ge gt 14.14/3.66 / 32 0 \ / 32 0 \ True False 14.14/3.66 \ 0 1 / \ 0 1 / 14.14/3.66 property Termination 14.14/3.66 has value True 14.14/3.66 for SRS ( [4, 3, 2, 1, 0] -> [4, 3, 1, 6, 5], [3, 2, 2, 1, 0] -> [3, 2, 1, 6, 5], [2, 2, 2, 1, 0] -> [2, 2, 1, 6, 5], [7, 2, 2, 1, 0] -> [7, 2, 1, 6, 5], [0, 7, 2, 1, 0] -> [0, 7, 1, 6, 5], [5, 7, 2, 1, 0] -> [5, 7, 1, 6, 5], [4, 3, 2, 2, 1] -> [4, 3, 1, 0, 8], [3, 2, 2, 2, 1] -> [3, 2, 1, 0, 8], [2, 2, 2, 2, 1] -> [2, 2, 1, 0, 8], [7, 2, 2, 2, 1] -> [7, 2, 1, 0, 8], [0, 7, 2, 2, 1] -> [0, 7, 1, 0, 8], [5, 7, 2, 2, 1] -> [5, 7, 1, 0, 8], [4, 3, 2, 1, 6] -> [4, 3, 1, 6, 9], [3, 2, 2, 1, 6] -> [3, 2, 1, 6, 9], [2, 2, 2, 1, 6] -> [2, 2, 1, 6, 9], [7, 2, 2, 1, 6] -> [7, 2, 1, 6, 9], [0, 7, 2, 1, 6] -> [0, 7, 1, 6, 9], [5, 7, 2, 1, 6] -> [5, 7, 1, 6, 9], [1, 0, 8, 6, 5] -> [2, 1, 0, 8, 0], [6, 5, 8, 6, 5] -> [0, 8, 0, 8, 0], [9, 5, 8, 6, 5] -> [5, 8, 0, 8, 0], [1, 0, 8, 6, 9] -> [2, 1, 0, 8, 6], [6, 5, 8, 6, 9] -> [0, 8, 0, 8, 6], [9, 5, 8, 6, 9] -> [5, 8, 0, 8, 6]) 14.14/3.66 reason 14.14/3.66 weights 14.14/3.66 Map [(2, 1/20), (5, 1/20), (9, 1/20)] 14.14/3.66 14.14/3.66 property Termination 14.14/3.66 has value True 14.14/3.66 for SRS ( [4, 3, 2, 1, 0] -> [4, 3, 1, 6, 5], [3, 2, 2, 1, 0] -> [3, 2, 1, 6, 5], [2, 2, 2, 1, 0] -> [2, 2, 1, 6, 5], [7, 2, 2, 1, 0] -> [7, 2, 1, 6, 5], [0, 7, 2, 1, 0] -> [0, 7, 1, 6, 5], [5, 7, 2, 1, 0] -> [5, 7, 1, 6, 5], [4, 3, 2, 1, 6] -> [4, 3, 1, 6, 9], [3, 2, 2, 1, 6] -> [3, 2, 1, 6, 9], [2, 2, 2, 1, 6] -> [2, 2, 1, 6, 9], [7, 2, 2, 1, 6] -> [7, 2, 1, 6, 9], [0, 7, 2, 1, 6] -> [0, 7, 1, 6, 9], [5, 7, 2, 1, 6] -> [5, 7, 1, 6, 9], [1, 0, 8, 6, 5] -> [2, 1, 0, 8, 0], [1, 0, 8, 6, 9] -> [2, 1, 0, 8, 6]) 14.14/3.66 reason 14.14/3.66 Tiling { method = Overlap, width = 3, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 14.14/3.66 using 48 tiles 14.14/3.66 [ [6, 5, >] , [6, 9, >] , [8, 0, >] , [8, 6, >] , [9, 5, >] , [9, 9, >] , [<, <, 0] , [0, 8, 0] , [2, 1, 0] , [5, 8, 0] , [<, 2, 1] , [0, 7, 1] , [2, 2, 1] , [3, 2, 1] , [4, 3, 1] , [5, 7, 1] , [7, 2, 1] , [<, <, 2] , [<, 2, 2] , [<, 3, 2] , [<, 7, 2] , [2, 2, 2] , [3, 2, 2] , [7, 2, 2] , [<, <, 3] , [<, 4, 3] , [<, <, 4] , [<, <, 5] , [1, 6, 5] , [6, 9, 5] , [9, 9, 5] , [0, 8, 6] , [2, 1, 6] , [3, 1, 6] , [5, 8, 6] , [7, 1, 6] , [<, <, 7] , [<, 0, 7] , [<, 5, 7] , [6, 5, 7] , [8, 0, 7] , [9, 5, 7] , [1, 0, 8] , [6, 5, 8] , [9, 5, 8] , [1, 6, 9] , [6, 9, 9] , [9, 9, 9] ] 14.14/3.66 remove some unmatched rules 14.14/3.66 14.14/3.66 property Termination 14.14/3.66 has value True 14.14/3.66 for SRS ( [[3], [2], [2], [1], [0]] -> [[3], [2], [1], [6], [5]], [[2], [2], [2], [1], [0]] -> [[2], [2], [1], [6], [5]], [[7], [2], [2], [1], [0]] -> [[7], [2], [1], [6], [5]], [[3], [2], [2], [1], [6]] -> [[3], [2], [1], [6], [9]], [[2], [2], [2], [1], [6]] -> [[2], [2], [1], [6], [9]], [[7], [2], [2], [1], [6]] -> [[7], [2], [1], [6], [9]]) 14.14/3.66 reason 14.14/3.66 remap for 6 rules 14.14/3.66 property Termination 14.14/3.66 has value True 14.14/3.66 for SRS ( [0, 1, 1, 2, 3] -> [0, 1, 2, 4, 5], [1, 1, 1, 2, 3] -> [1, 1, 2, 4, 5], [6, 1, 1, 2, 3] -> [6, 1, 2, 4, 5], [0, 1, 1, 2, 4] -> [0, 1, 2, 4, 7], [1, 1, 1, 2, 4] -> [1, 1, 2, 4, 7], [6, 1, 1, 2, 4] -> [6, 1, 2, 4, 7]) 14.14/3.66 reason 14.14/3.66 weights 14.14/3.66 Map [(1, 6/1), (3, 3/1)] 14.14/3.66 14.14/3.66 property Termination 14.14/3.66 has value True 14.14/3.66 for SRS ( ) 14.14/3.66 reason 14.14/3.66 has no strict rules 14.14/3.66 14.14/3.66 ************************************************** 14.14/3.66 summary 14.14/3.66 ************************************************** 14.14/3.66 SRS with 7 rules on 3 letters Remap { tracing = False} 14.14/3.66 SRS with 7 rules on 3 letters weights 14.14/3.66 SRS with 3 rules on 3 letters Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} 14.14/3.66 SRS with 2 rules on 2 letters tile all, by Tiling { method = Overlap, width = 3, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 14.42/3.66 SRS with 77 rules on 17 letters Remap { tracing = False} 14.42/3.66 SRS with 77 rules on 17 letters weights 14.42/3.66 SRS with 36 rules on 12 letters remove some, by Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 14.42/3.67 SRS with 30 rules on 12 letters Remap { tracing = False} 14.42/3.67 SRS with 30 rules on 12 letters weights 14.42/3.67 SRS with 27 rules on 10 letters reverse each lhs and rhs 14.42/3.67 SRS with 27 rules on 10 letters Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} 14.42/3.67 SRS with 24 rules on 10 letters weights 14.42/3.67 SRS with 14 rules on 10 letters remove some, by Tiling { method = Overlap, width = 3, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 14.42/3.67 SRS with 6 rules on 8 letters Remap { tracing = False} 14.42/3.67 SRS with 6 rules on 8 letters weights 14.42/3.67 SRS with 0 rules on 0 letters has no strict rules 14.42/3.67 14.42/3.67 ************************************************** 14.42/3.67 (7, 3)\Weight(3, 3)\Matrix{\Natural}{2}(2, 2)\TileAllROC{3}(77, 17)\Weight(36, 12)\TileRemoveROC{2}(30, 12)\Weight(27, 10)\Matrix{\Natural}{2}(24, 10)\Weight(14, 10)\TileRemoveROC{3}(6, 8)\Weight(0, 0)[] 14.42/3.67 ************************************************** 14.46/3.67 let { 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;when_small = \ m -> And_Then (Worker (SizeAtmost 100)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;tiling = \ m w -> weighted (And_Then (Worker (Tiling { method = m,width = w})) (Worker Remap));matrix = \ mo dom dim bits -> weighted (Worker (Matrix { monotone = mo,domain = dom,dim = dim,bits = bits}));kbo = \ b -> weighted (Worker (KBO { bits = b,solver = Minisatapi}));method = Apply wop (Tree_Search_Preemptive 0 done ([ ] <> ([ when_medium (kbo 1), when_medium (And_Then (Worker Mirror) (kbo 1))] <> ((for [ 3, 4] (\ d -> when_small (matrix Strict Natural d 3))) <> (for [ 2, 3, 5, 8] (\ w -> tiling Overlap w))))))} 14.46/3.67 in Apply (Worker Remap) method 14.46/3.71 EOF