0.00/0.40 YES 0.00/0.40 property Termination 0.00/0.40 has value True 0.00/0.40 for SRS ( [a, a, b] -> [a, c, b], [c, c, c] -> [a, b, a], [b, c, b] -> [b, a, c], [b, b, c] ->= [c, a, b], [b, b, b] ->= [a, b, b], [b, b, c] ->= [b, c, c], [b, a, a] ->= [a, c, c]) 0.00/0.40 reason 0.00/0.40 remap for 7 rules 0.00/0.40 property Termination 0.00/0.40 has value True 0.00/0.40 for SRS ( [0, 0, 1] -> [0, 2, 1], [2, 2, 2] -> [0, 1, 0], [1, 2, 1] -> [1, 0, 2], [1, 1, 2] ->= [2, 0, 1], [1, 1, 1] ->= [0, 1, 1], [1, 1, 2] ->= [1, 2, 2], [1, 0, 0] ->= [0, 2, 2]) 0.00/0.40 reason 0.00/0.40 Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 0.00/0.40 using 15 tiles 0.00/0.40 [ [0, >] , [1, >] , [2, >] , [<, 0] , [0, 0] , [1, 0] , [2, 0] , [<, 1] , [0, 1] , [1, 1] , [2, 1] , [<, 2] , [0, 2] , [1, 2] , [2, 2] ] 0.00/0.40 tile all rules 0.00/0.40 0.00/0.40 property Termination 0.00/0.40 has value True 0.00/0.41 for SRS ( [[<, 0], [0, 0], [0, 1], [1, >]] -> [[<, 0], [0, 2], [2, 1], [1, >]], [[<, 0], [0, 0], [0, 1], [1, 0]] -> [[<, 0], [0, 2], [2, 1], [1, 0]], [[<, 0], [0, 0], [0, 1], [1, 1]] -> [[<, 0], [0, 2], [2, 1], [1, 1]], [[<, 0], [0, 0], [0, 1], [1, 2]] -> [[<, 0], [0, 2], [2, 1], [1, 2]], [[0, 0], [0, 0], [0, 1], [1, >]] -> [[0, 0], [0, 2], [2, 1], [1, >]], [[0, 0], [0, 0], [0, 1], [1, 0]] -> [[0, 0], [0, 2], [2, 1], [1, 0]], [[0, 0], [0, 0], [0, 1], [1, 1]] -> [[0, 0], [0, 2], [2, 1], [1, 1]], [[0, 0], [0, 0], [0, 1], [1, 2]] -> [[0, 0], [0, 2], [2, 1], [1, 2]], [[1, 0], [0, 0], [0, 1], [1, >]] -> [[1, 0], [0, 2], [2, 1], [1, >]], [[1, 0], [0, 0], [0, 1], [1, 0]] -> [[1, 0], [0, 2], [2, 1], [1, 0]], [[1, 0], [0, 0], [0, 1], [1, 1]] -> [[1, 0], [0, 2], [2, 1], [1, 1]], [[1, 0], [0, 0], [0, 1], [1, 2]] -> [[1, 0], [0, 2], [2, 1], [1, 2]], [[2, 0], [0, 0], [0, 1], [1, >]] -> [[2, 0], [0, 2], [2, 1], [1, >]], [[2, 0], [0, 0], [0, 1], [1, 0]] -> [[2, 0], [0, 2], [2, 1], [1, 0]], [[2, 0], [0, 0], [0, 1], [1, 1]] -> [[2, 0], [0, 2], [2, 1], [1, 1]], [[2, 0], [0, 0], [0, 1], [1, 2]] -> [[2, 0], [0, 2], [2, 1], [1, 2]], [[<, 2], [2, 2], [2, 2], [2, >]] -> [[<, 0], [0, 1], [1, 0], [0, >]], [[<, 2], [2, 2], [2, 2], [2, 0]] -> [[<, 0], [0, 1], [1, 0], [0, 0]], [[<, 2], [2, 2], [2, 2], [2, 1]] -> [[<, 0], [0, 1], [1, 0], [0, 1]], [[<, 2], [2, 2], [2, 2], [2, 2]] -> [[<, 0], [0, 1], [1, 0], [0, 2]], [[0, 2], [2, 2], [2, 2], [2, >]] -> [[0, 0], [0, 1], [1, 0], [0, >]], [[0, 2], [2, 2], [2, 2], [2, 0]] -> [[0, 0], [0, 1], [1, 0], [0, 0]], [[0, 2], [2, 2], [2, 2], [2, 1]] -> [[0, 0], [0, 1], [1, 0], [0, 1]], [[0, 2], [2, 2], [2, 2], [2, 2]] -> [[0, 0], [0, 1], [1, 0], [0, 2]], [[1, 2], [2, 2], [2, 2], [2, >]] -> [[1, 0], [0, 1], [1, 0], [0, >]], [[1, 2], [2, 2], [2, 2], [2, 0]] -> [[1, 0], [0, 1], [1, 0], [0, 0]], [[1, 2], [2, 2], [2, 2], [2, 1]] -> [[1, 0], [0, 1], [1, 0], [0, 1]], [[1, 2], [2, 2], [2, 2], [2, 2]] -> [[1, 0], [0, 1], [1, 0], [0, 2]], [[2, 2], [2, 2], [2, 2], [2, >]] -> [[2, 0], [0, 1], [1, 0], [0, >]], [[2, 2], [2, 2], [2, 2], [2, 0]] -> [[2, 0], [0, 1], [1, 0], [0, 0]], [[2, 2], [2, 2], [2, 2], [2, 1]] -> [[2, 0], [0, 1], [1, 0], [0, 1]], [[2, 2], [2, 2], [2, 2], [2, 2]] -> [[2, 0], [0, 1], [1, 0], [0, 2]], [[<, 1], [1, 2], [2, 1], [1, >]] -> [[<, 1], [1, 0], [0, 2], [2, >]], [[<, 1], [1, 2], [2, 1], [1, 0]] -> [[<, 1], [1, 0], [0, 2], [2, 0]], [[<, 1], [1, 2], [2, 1], [1, 1]] -> [[<, 1], [1, 0], [0, 2], [2, 1]], [[<, 1], [1, 2], [2, 1], [1, 2]] -> [[<, 1], [1, 0], [0, 2], [2, 2]], [[0, 1], [1, 2], [2, 1], [1, >]] -> [[0, 1], [1, 0], [0, 2], [2, >]], [[0, 1], [1, 2], [2, 1], [1, 0]] -> [[0, 1], [1, 0], [0, 2], [2, 0]], [[0, 1], [1, 2], [2, 1], [1, 1]] -> [[0, 1], [1, 0], [0, 2], [2, 1]], [[0, 1], [1, 2], [2, 1], [1, 2]] -> [[0, 1], [1, 0], [0, 2], [2, 2]], [[1, 1], [1, 2], [2, 1], [1, >]] -> [[1, 1], [1, 0], [0, 2], [2, >]], [[1, 1], [1, 2], [2, 1], [1, 0]] -> [[1, 1], [1, 0], [0, 2], [2, 0]], [[1, 1], [1, 2], [2, 1], [1, 1]] -> [[1, 1], [1, 0], [0, 2], [2, 1]], [[1, 1], [1, 2], [2, 1], [1, 2]] -> [[1, 1], [1, 0], [0, 2], [2, 2]], [[2, 1], [1, 2], [2, 1], [1, >]] -> [[2, 1], [1, 0], [0, 2], [2, >]], [[2, 1], [1, 2], [2, 1], [1, 0]] -> [[2, 1], [1, 0], [0, 2], [2, 0]], [[2, 1], [1, 2], [2, 1], [1, 1]] -> [[2, 1], [1, 0], [0, 2], [2, 1]], [[2, 1], [1, 2], [2, 1], [1, 2]] -> [[2, 1], [1, 0], [0, 2], [2, 2]], [[<, 1], [1, 1], [1, 2], [2, >]] ->= [[<, 2], [2, 0], [0, 1], [1, >]], [[<, 1], [1, 1], [1, 2], [2, 0]] ->= [[<, 2], [2, 0], [0, 1], [1, 0]], [[<, 1], [1, 1], [1, 2], [2, 1]] ->= [[<, 2], [2, 0], [0, 1], [1, 1]], [[<, 1], [1, 1], [1, 2], [2, 2]] ->= [[<, 2], [2, 0], [0, 1], [1, 2]], [[0, 1], [1, 1], [1, 2], [2, >]] ->= [[0, 2], [2, 0], [0, 1], [1, >]], [[0, 1], [1, 1], [1, 2], [2, 0]] ->= [[0, 2], [2, 0], [0, 1], [1, 0]], [[0, 1], [1, 1], [1, 2], [2, 1]] ->= [[0, 2], [2, 0], [0, 1], [1, 1]], [[0, 1], [1, 1], [1, 2], [2, 2]] ->= [[0, 2], [2, 0], [0, 1], [1, 2]], [[1, 1], [1, 1], [1, 2], [2, >]] ->= [[1, 2], [2, 0], [0, 1], [1, >]], [[1, 1], [1, 1], [1, 2], [2, 0]] ->= [[1, 2], [2, 0], [0, 1], [1, 0]], [[1, 1], [1, 1], [1, 2], [2, 1]] ->= [[1, 2], [2, 0], [0, 1], [1, 1]], [[1, 1], [1, 1], [1, 2], [2, 2]] ->= [[1, 2], [2, 0], [0, 1], [1, 2]], [[2, 1], [1, 1], [1, 2], [2, >]] ->= [[2, 2], [2, 0], [0, 1], [1, >]], [[2, 1], [1, 1], [1, 2], [2, 0]] ->= [[2, 2], [2, 0], [0, 1], [1, 0]], [[2, 1], [1, 1], [1, 2], [2, 1]] ->= [[2, 2], [2, 0], [0, 1], [1, 1]], [[2, 1], [1, 1], [1, 2], [2, 2]] ->= [[2, 2], [2, 0], [0, 1], [1, 2]], [[<, 1], [1, 1], [1, 1], [1, >]] ->= [[<, 0], [0, 1], [1, 1], [1, >]], [[<, 1], [1, 1], [1, 1], [1, 0]] ->= [[<, 0], [0, 1], [1, 1], [1, 0]], [[<, 1], [1, 1], [1, 1], [1, 1]] ->= [[<, 0], [0, 1], [1, 1], [1, 1]], [[<, 1], [1, 1], [1, 1], [1, 2]] ->= [[<, 0], [0, 1], [1, 1], [1, 2]], [[0, 1], [1, 1], [1, 1], [1, >]] ->= [[0, 0], [0, 1], [1, 1], [1, >]], [[0, 1], [1, 1], [1, 1], [1, 0]] ->= [[0, 0], [0, 1], [1, 1], [1, 0]], [[0, 1], [1, 1], [1, 1], [1, 1]] ->= [[0, 0], [0, 1], [1, 1], [1, 1]], [[0, 1], [1, 1], [1, 1], [1, 2]] ->= [[0, 0], [0, 1], [1, 1], [1, 2]], [[1, 1], [1, 1], [1, 1], [1, >]] ->= [[1, 0], [0, 1], [1, 1], [1, >]], [[1, 1], [1, 1], [1, 1], [1, 0]] ->= [[1, 0], [0, 1], [1, 1], [1, 0]], [[1, 1], [1, 1], [1, 1], [1, 1]] ->= [[1, 0], [0, 1], [1, 1], [1, 1]], [[1, 1], [1, 1], [1, 1], [1, 2]] ->= [[1, 0], [0, 1], [1, 1], [1, 2]], [[2, 1], [1, 1], [1, 1], [1, >]] ->= [[2, 0], [0, 1], [1, 1], [1, >]], [[2, 1], [1, 1], [1, 1], [1, 0]] ->= [[2, 0], [0, 1], [1, 1], [1, 0]], [[2, 1], [1, 1], [1, 1], [1, 1]] ->= [[2, 0], [0, 1], [1, 1], [1, 1]], [[2, 1], [1, 1], [1, 1], [1, 2]] ->= [[2, 0], [0, 1], [1, 1], [1, 2]], [[<, 1], [1, 1], [1, 2], [2, >]] ->= [[<, 1], [1, 2], [2, 2], [2, >]], [[<, 1], [1, 1], [1, 2], [2, 0]] ->= [[<, 1], [1, 2], [2, 2], [2, 0]], [[<, 1], [1, 1], [1, 2], [2, 1]] ->= [[<, 1], [1, 2], [2, 2], [2, 1]], [[<, 1], [1, 1], [1, 2], [2, 2]] ->= [[<, 1], [1, 2], [2, 2], [2, 2]], [[0, 1], [1, 1], [1, 2], [2, >]] ->= [[0, 1], [1, 2], [2, 2], [2, >]], [[0, 1], [1, 1], [1, 2], [2, 0]] ->= [[0, 1], [1, 2], [2, 2], [2, 0]], [[0, 1], [1, 1], [1, 2], [2, 1]] ->= [[0, 1], [1, 2], [2, 2], [2, 1]], [[0, 1], [1, 1], [1, 2], [2, 2]] ->= [[0, 1], [1, 2], [2, 2], [2, 2]], [[1, 1], [1, 1], [1, 2], [2, >]] ->= [[1, 1], [1, 2], [2, 2], [2, >]], [[1, 1], [1, 1], [1, 2], [2, 0]] ->= [[1, 1], [1, 2], [2, 2], [2, 0]], [[1, 1], [1, 1], [1, 2], [2, 1]] ->= [[1, 1], [1, 2], [2, 2], [2, 1]], [[1, 1], [1, 1], [1, 2], [2, 2]] ->= [[1, 1], [1, 2], [2, 2], [2, 2]], [[2, 1], [1, 1], [1, 2], [2, >]] ->= [[2, 1], [1, 2], [2, 2], [2, >]], [[2, 1], [1, 1], [1, 2], [2, 0]] ->= [[2, 1], [1, 2], [2, 2], [2, 0]], [[2, 1], [1, 1], [1, 2], [2, 1]] ->= [[2, 1], [1, 2], [2, 2], [2, 1]], [[2, 1], [1, 1], [1, 2], [2, 2]] ->= [[2, 1], [1, 2], [2, 2], [2, 2]], [[<, 1], [1, 0], [0, 0], [0, >]] ->= [[<, 0], [0, 2], [2, 2], [2, >]], [[<, 1], [1, 0], [0, 0], [0, 0]] ->= [[<, 0], [0, 2], [2, 2], [2, 0]], [[<, 1], [1, 0], [0, 0], [0, 1]] ->= [[<, 0], [0, 2], [2, 2], [2, 1]], [[<, 1], [1, 0], [0, 0], [0, 2]] ->= [[<, 0], [0, 2], [2, 2], [2, 2]], [[0, 1], [1, 0], [0, 0], [0, >]] ->= [[0, 0], [0, 2], [2, 2], [2, >]], [[0, 1], [1, 0], [0, 0], [0, 0]] ->= [[0, 0], [0, 2], [2, 2], [2, 0]], [[0, 1], [1, 0], [0, 0], [0, 1]] ->= [[0, 0], [0, 2], [2, 2], [2, 1]], [[0, 1], [1, 0], [0, 0], [0, 2]] ->= [[0, 0], [0, 2], [2, 2], [2, 2]], [[1, 1], [1, 0], [0, 0], [0, >]] ->= [[1, 0], [0, 2], [2, 2], [2, >]], [[1, 1], [1, 0], [0, 0], [0, 0]] ->= [[1, 0], [0, 2], [2, 2], [2, 0]], [[1, 1], [1, 0], [0, 0], [0, 1]] ->= [[1, 0], [0, 2], [2, 2], [2, 1]], [[1, 1], [1, 0], [0, 0], [0, 2]] ->= [[1, 0], [0, 2], [2, 2], [2, 2]], [[2, 1], [1, 0], [0, 0], [0, >]] ->= [[2, 0], [0, 2], [2, 2], [2, >]], [[2, 1], [1, 0], [0, 0], [0, 0]] ->= [[2, 0], [0, 2], [2, 2], [2, 0]], [[2, 1], [1, 0], [0, 0], [0, 1]] ->= [[2, 0], [0, 2], [2, 2], [2, 1]], [[2, 1], [1, 0], [0, 0], [0, 2]] ->= [[2, 0], [0, 2], [2, 2], [2, 2]]) 0.00/0.41 reason 0.00/0.41 remap for 112 rules 0.00/0.41 property Termination 0.00/0.41 has value True 0.00/0.41 for SRS ( [0, 1, 2, 3] -> [0, 4, 5, 3], [0, 1, 2, 6] -> [0, 4, 5, 6], [0, 1, 2, 7] -> [0, 4, 5, 7], [0, 1, 2, 8] -> [0, 4, 5, 8], [1, 1, 2, 3] -> [1, 4, 5, 3], [1, 1, 2, 6] -> [1, 4, 5, 6], [1, 1, 2, 7] -> [1, 4, 5, 7], [1, 1, 2, 8] -> [1, 4, 5, 8], [6, 1, 2, 3] -> [6, 4, 5, 3], [6, 1, 2, 6] -> [6, 4, 5, 6], [6, 1, 2, 7] -> [6, 4, 5, 7], [6, 1, 2, 8] -> [6, 4, 5, 8], [9, 1, 2, 3] -> [9, 4, 5, 3], [9, 1, 2, 6] -> [9, 4, 5, 6], [9, 1, 2, 7] -> [9, 4, 5, 7], [9, 1, 2, 8] -> [9, 4, 5, 8], [10, 11, 11, 12] -> [0, 2, 6, 13], [10, 11, 11, 9] -> [0, 2, 6, 1], [10, 11, 11, 5] -> [0, 2, 6, 2], [10, 11, 11, 11] -> [0, 2, 6, 4], [4, 11, 11, 12] -> [1, 2, 6, 13], [4, 11, 11, 9] -> [1, 2, 6, 1], [4, 11, 11, 5] -> [1, 2, 6, 2], [4, 11, 11, 11] -> [1, 2, 6, 4], [8, 11, 11, 12] -> [6, 2, 6, 13], [8, 11, 11, 9] -> [6, 2, 6, 1], [8, 11, 11, 5] -> [6, 2, 6, 2], [8, 11, 11, 11] -> [6, 2, 6, 4], [11, 11, 11, 12] -> [9, 2, 6, 13], [11, 11, 11, 9] -> [9, 2, 6, 1], [11, 11, 11, 5] -> [9, 2, 6, 2], [11, 11, 11, 11] -> [9, 2, 6, 4], [14, 8, 5, 3] -> [14, 6, 4, 12], [14, 8, 5, 6] -> [14, 6, 4, 9], [14, 8, 5, 7] -> [14, 6, 4, 5], [14, 8, 5, 8] -> [14, 6, 4, 11], [2, 8, 5, 3] -> [2, 6, 4, 12], [2, 8, 5, 6] -> [2, 6, 4, 9], [2, 8, 5, 7] -> [2, 6, 4, 5], [2, 8, 5, 8] -> [2, 6, 4, 11], [7, 8, 5, 3] -> [7, 6, 4, 12], [7, 8, 5, 6] -> [7, 6, 4, 9], [7, 8, 5, 7] -> [7, 6, 4, 5], [7, 8, 5, 8] -> [7, 6, 4, 11], [5, 8, 5, 3] -> [5, 6, 4, 12], [5, 8, 5, 6] -> [5, 6, 4, 9], [5, 8, 5, 7] -> [5, 6, 4, 5], [5, 8, 5, 8] -> [5, 6, 4, 11], [14, 7, 8, 12] ->= [10, 9, 2, 3], [14, 7, 8, 9] ->= [10, 9, 2, 6], [14, 7, 8, 5] ->= [10, 9, 2, 7], [14, 7, 8, 11] ->= [10, 9, 2, 8], [2, 7, 8, 12] ->= [4, 9, 2, 3], [2, 7, 8, 9] ->= [4, 9, 2, 6], [2, 7, 8, 5] ->= [4, 9, 2, 7], [2, 7, 8, 11] ->= [4, 9, 2, 8], [7, 7, 8, 12] ->= [8, 9, 2, 3], [7, 7, 8, 9] ->= [8, 9, 2, 6], [7, 7, 8, 5] ->= [8, 9, 2, 7], [7, 7, 8, 11] ->= [8, 9, 2, 8], [5, 7, 8, 12] ->= [11, 9, 2, 3], [5, 7, 8, 9] ->= [11, 9, 2, 6], [5, 7, 8, 5] ->= [11, 9, 2, 7], [5, 7, 8, 11] ->= [11, 9, 2, 8], [14, 7, 7, 3] ->= [0, 2, 7, 3], [14, 7, 7, 6] ->= [0, 2, 7, 6], [14, 7, 7, 7] ->= [0, 2, 7, 7], [14, 7, 7, 8] ->= [0, 2, 7, 8], [2, 7, 7, 3] ->= [1, 2, 7, 3], [2, 7, 7, 6] ->= [1, 2, 7, 6], [2, 7, 7, 7] ->= [1, 2, 7, 7], [2, 7, 7, 8] ->= [1, 2, 7, 8], [7, 7, 7, 3] ->= [6, 2, 7, 3], [7, 7, 7, 6] ->= [6, 2, 7, 6], [7, 7, 7, 7] ->= [6, 2, 7, 7], [7, 7, 7, 8] ->= [6, 2, 7, 8], [5, 7, 7, 3] ->= [9, 2, 7, 3], [5, 7, 7, 6] ->= [9, 2, 7, 6], [5, 7, 7, 7] ->= [9, 2, 7, 7], [5, 7, 7, 8] ->= [9, 2, 7, 8], [14, 7, 8, 12] ->= [14, 8, 11, 12], [14, 7, 8, 9] ->= [14, 8, 11, 9], [14, 7, 8, 5] ->= [14, 8, 11, 5], [14, 7, 8, 11] ->= [14, 8, 11, 11], [2, 7, 8, 12] ->= [2, 8, 11, 12], [2, 7, 8, 9] ->= [2, 8, 11, 9], [2, 7, 8, 5] ->= [2, 8, 11, 5], [2, 7, 8, 11] ->= [2, 8, 11, 11], [7, 7, 8, 12] ->= [7, 8, 11, 12], [7, 7, 8, 9] ->= [7, 8, 11, 9], [7, 7, 8, 5] ->= [7, 8, 11, 5], [7, 7, 8, 11] ->= [7, 8, 11, 11], [5, 7, 8, 12] ->= [5, 8, 11, 12], [5, 7, 8, 9] ->= [5, 8, 11, 9], [5, 7, 8, 5] ->= [5, 8, 11, 5], [5, 7, 8, 11] ->= [5, 8, 11, 11], [14, 6, 1, 13] ->= [0, 4, 11, 12], [14, 6, 1, 1] ->= [0, 4, 11, 9], [14, 6, 1, 2] ->= [0, 4, 11, 5], [14, 6, 1, 4] ->= [0, 4, 11, 11], [2, 6, 1, 13] ->= [1, 4, 11, 12], [2, 6, 1, 1] ->= [1, 4, 11, 9], [2, 6, 1, 2] ->= [1, 4, 11, 5], [2, 6, 1, 4] ->= [1, 4, 11, 11], [7, 6, 1, 13] ->= [6, 4, 11, 12], [7, 6, 1, 1] ->= [6, 4, 11, 9], [7, 6, 1, 2] ->= [6, 4, 11, 5], [7, 6, 1, 4] ->= [6, 4, 11, 11], [5, 6, 1, 13] ->= [9, 4, 11, 12], [5, 6, 1, 1] ->= [9, 4, 11, 9], [5, 6, 1, 2] ->= [9, 4, 11, 5], [5, 6, 1, 4] ->= [9, 4, 11, 11]) 0.00/0.41 reason 0.00/0.41 weights 0.00/0.41 Map [(3, 7/1), (6, 4/1), (7, 3233/24), (8, 63/2), (10, 7/1), (11, 2/1), (12, 1/1), (14, 61/2)] 0.00/0.41 0.00/0.41 property Termination 0.00/0.41 has value True 0.00/0.41 for SRS ( [0, 1, 2, 3] -> [0, 4, 5, 3], [0, 1, 2, 6] -> [0, 4, 5, 6], [0, 1, 2, 7] -> [0, 4, 5, 7], [0, 1, 2, 8] -> [0, 4, 5, 8], [1, 1, 2, 3] -> [1, 4, 5, 3], [1, 1, 2, 6] -> [1, 4, 5, 6], [1, 1, 2, 7] -> [1, 4, 5, 7], [1, 1, 2, 8] -> [1, 4, 5, 8], [6, 1, 2, 3] -> [6, 4, 5, 3], [6, 1, 2, 6] -> [6, 4, 5, 6], [6, 1, 2, 7] -> [6, 4, 5, 7], [6, 1, 2, 8] -> [6, 4, 5, 8], [9, 1, 2, 3] -> [9, 4, 5, 3], [9, 1, 2, 6] -> [9, 4, 5, 6], [9, 1, 2, 7] -> [9, 4, 5, 7], [9, 1, 2, 8] -> [9, 4, 5, 8], [4, 11, 11, 9] -> [1, 2, 6, 1], [4, 11, 11, 5] -> [1, 2, 6, 2], [2, 6, 1, 4] ->= [1, 4, 11, 11], [5, 6, 1, 4] ->= [9, 4, 11, 11]) 0.00/0.41 reason 0.00/0.41 reverse each lhs and rhs 0.00/0.41 property Termination 0.00/0.41 has value True 0.00/0.41 for SRS ( [3, 2, 1, 0] -> [3, 5, 4, 0], [6, 2, 1, 0] -> [6, 5, 4, 0], [7, 2, 1, 0] -> [7, 5, 4, 0], [8, 2, 1, 0] -> [8, 5, 4, 0], [3, 2, 1, 1] -> [3, 5, 4, 1], [6, 2, 1, 1] -> [6, 5, 4, 1], [7, 2, 1, 1] -> [7, 5, 4, 1], [8, 2, 1, 1] -> [8, 5, 4, 1], [3, 2, 1, 6] -> [3, 5, 4, 6], [6, 2, 1, 6] -> [6, 5, 4, 6], [7, 2, 1, 6] -> [7, 5, 4, 6], [8, 2, 1, 6] -> [8, 5, 4, 6], [3, 2, 1, 9] -> [3, 5, 4, 9], [6, 2, 1, 9] -> [6, 5, 4, 9], [7, 2, 1, 9] -> [7, 5, 4, 9], [8, 2, 1, 9] -> [8, 5, 4, 9], [9, 11, 11, 4] -> [1, 6, 2, 1], [5, 11, 11, 4] -> [2, 6, 2, 1], [4, 1, 6, 2] ->= [11, 11, 4, 1], [4, 1, 6, 5] ->= [11, 11, 4, 9]) 0.00/0.41 reason 0.00/0.41 Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} 0.00/0.41 interpretation 0.00/0.41 0 / 2 1 \ 0.00/0.41 \ 0 1 / 0.00/0.41 1 / 2 1 \ 0.00/0.41 \ 0 1 / 0.00/0.41 2 / 1 1 \ 0.00/0.41 \ 0 1 / 0.00/0.41 3 / 2 1 \ 0.00/0.41 \ 0 1 / 0.00/0.41 4 / 2 0 \ 0.00/0.41 \ 0 1 / 0.00/0.41 5 / 1 1 \ 0.00/0.41 \ 0 1 / 0.00/0.41 6 / 1 0 \ 0.00/0.41 \ 0 1 / 0.00/0.41 7 / 2 1 \ 0.00/0.41 \ 0 1 / 0.00/0.41 8 / 1 1 \ 0.00/0.41 \ 0 1 / 0.00/0.41 9 / 2 1 \ 0.00/0.41 \ 0 1 / 0.00/0.41 11 / 1 1 \ 0.00/0.41 \ 0 1 / 0.00/0.41 [3, 2, 1, 0] -> [3, 5, 4, 0] 0.00/0.41 lhs rhs ge gt 0.00/0.41 / 8 9 \ / 8 7 \ True True 0.00/0.41 \ 0 1 / \ 0 1 / 0.00/0.41 [6, 2, 1, 0] -> [6, 5, 4, 0] 0.00/0.41 lhs rhs ge gt 0.00/0.41 / 4 4 \ / 4 3 \ True True 0.00/0.41 \ 0 1 / \ 0 1 / 0.00/0.41 [7, 2, 1, 0] -> [7, 5, 4, 0] 0.00/0.41 lhs rhs ge gt 0.00/0.41 / 8 9 \ / 8 7 \ True True 0.00/0.41 \ 0 1 / \ 0 1 / 0.00/0.41 [8, 2, 1, 0] -> [8, 5, 4, 0] 0.00/0.41 lhs rhs ge gt 0.00/0.41 / 4 5 \ / 4 4 \ True True 0.00/0.41 \ 0 1 / \ 0 1 / 0.00/0.41 [3, 2, 1, 1] -> [3, 5, 4, 1] 0.00/0.41 lhs rhs ge gt 0.00/0.41 / 8 9 \ / 8 7 \ True True 0.00/0.41 \ 0 1 / \ 0 1 / 0.00/0.41 [6, 2, 1, 1] -> [6, 5, 4, 1] 0.00/0.41 lhs rhs ge gt 0.00/0.41 / 4 4 \ / 4 3 \ True True 0.00/0.41 \ 0 1 / \ 0 1 / 0.00/0.41 [7, 2, 1, 1] -> [7, 5, 4, 1] 0.00/0.42 lhs rhs ge gt 0.00/0.42 / 8 9 \ / 8 7 \ True True 0.00/0.42 \ 0 1 / \ 0 1 / 0.00/0.42 [8, 2, 1, 1] -> [8, 5, 4, 1] 0.00/0.42 lhs rhs ge gt 0.00/0.42 / 4 5 \ / 4 4 \ True True 0.00/0.42 \ 0 1 / \ 0 1 / 0.00/0.42 [3, 2, 1, 6] -> [3, 5, 4, 6] 0.00/0.42 lhs rhs ge gt 0.00/0.42 / 4 5 \ / 4 3 \ True True 0.00/0.42 \ 0 1 / \ 0 1 / 0.00/0.42 [6, 2, 1, 6] -> [6, 5, 4, 6] 0.00/0.42 lhs rhs ge gt 0.00/0.42 / 2 2 \ / 2 1 \ True True 0.00/0.42 \ 0 1 / \ 0 1 / 0.00/0.42 [7, 2, 1, 6] -> [7, 5, 4, 6] 0.00/0.42 lhs rhs ge gt 0.00/0.42 / 4 5 \ / 4 3 \ True True 0.00/0.42 \ 0 1 / \ 0 1 / 0.00/0.42 [8, 2, 1, 6] -> [8, 5, 4, 6] 0.00/0.42 lhs rhs ge gt 0.00/0.42 / 2 3 \ / 2 2 \ True True 0.00/0.42 \ 0 1 / \ 0 1 / 0.00/0.42 [3, 2, 1, 9] -> [3, 5, 4, 9] 0.00/0.42 lhs rhs ge gt 0.00/0.42 / 8 9 \ / 8 7 \ True True 0.00/0.42 \ 0 1 / \ 0 1 / 0.00/0.42 [6, 2, 1, 9] -> [6, 5, 4, 9] 0.00/0.42 lhs rhs ge gt 0.00/0.42 / 4 4 \ / 4 3 \ True True 0.00/0.42 \ 0 1 / \ 0 1 / 0.00/0.42 [7, 2, 1, 9] -> [7, 5, 4, 9] 0.00/0.42 lhs rhs ge gt 0.00/0.42 / 8 9 \ / 8 7 \ True True 0.00/0.42 \ 0 1 / \ 0 1 / 0.00/0.42 [8, 2, 1, 9] -> [8, 5, 4, 9] 0.00/0.42 lhs rhs ge gt 0.00/0.42 / 4 5 \ / 4 4 \ True True 0.00/0.42 \ 0 1 / \ 0 1 / 0.00/0.42 [9, 11, 11, 4] -> [1, 6, 2, 1] 0.00/0.42 lhs rhs ge gt 0.00/0.42 / 4 5 \ / 4 5 \ True False 0.00/0.42 \ 0 1 / \ 0 1 / 0.00/0.42 [5, 11, 11, 4] -> [2, 6, 2, 1] 0.00/0.42 lhs rhs ge gt 0.00/0.42 / 2 3 \ / 2 3 \ True False 0.00/0.42 \ 0 1 / \ 0 1 / 0.00/0.42 [4, 1, 6, 2] ->= [11, 11, 4, 1] 0.00/0.42 lhs rhs ge gt 0.00/0.42 / 4 6 \ / 4 4 \ True True 0.00/0.42 \ 0 1 / \ 0 1 / 0.00/0.42 [4, 1, 6, 5] ->= [11, 11, 4, 9] 0.00/0.42 lhs rhs ge gt 0.00/0.42 / 4 6 \ / 4 4 \ True True 0.00/0.42 \ 0 1 / \ 0 1 / 0.00/0.42 property Termination 0.00/0.42 has value True 0.00/0.42 for SRS ( [9, 11, 11, 4] -> [1, 6, 2, 1], [5, 11, 11, 4] -> [2, 6, 2, 1]) 0.00/0.43 reason 0.00/0.43 weights 0.00/0.43 Map [(4, 2/1), (5, 1/1), (9, 1/1), (11, 2/1)] 0.00/0.43 0.00/0.43 property Termination 0.00/0.43 has value True 0.00/0.43 for SRS ( ) 0.00/0.43 reason 0.00/0.43 has no strict rules 0.00/0.43 0.00/0.43 ************************************************** 0.00/0.43 summary 0.00/0.43 ************************************************** 0.00/0.43 SRS with 7 rules on 3 letters Remap { tracing = False} 0.00/0.43 SRS with 7 rules on 3 letters tile all, by Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 0.00/0.43 SRS with 112 rules on 15 letters Remap { tracing = False} 0.00/0.43 SRS with 112 rules on 15 letters weights 0.00/0.43 SRS with 20 rules on 11 letters reverse each lhs and rhs 0.00/0.43 SRS with 20 rules on 11 letters Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} 0.00/0.43 SRS with 2 rules on 7 letters weights 0.00/0.43 SRS with 0 rules on 0 letters has no strict rules 0.00/0.43 0.00/0.43 ************************************************** 0.00/0.43 (7, 3)\TileAllROC{2}(112, 15)\Weight(20, 11)\Matrix{\Natural}{2}(2, 7)\Weight(0, 0)[] 0.00/0.43 ************************************************** 0.00/0.43 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))))))} 0.00/0.43 in Apply (Worker Remap) method 0.00/0.45 EOF