0.00/0.07 YES 0.00/0.07 property Termination 0.00/0.07 has value True 0.00/0.07 for SRS ( [a, a, c] -> [b, b, c], [b, a, c] -> [a, a, b], [a, c, a] ->= [a, b, b], [b, b, b] ->= [c, c, b], [b, a, c] ->= [a, a, c], [c, a, a] ->= [a, a, a]) 0.00/0.07 reason 0.00/0.07 remap for 6 rules 0.00/0.07 property Termination 0.00/0.07 has value True 0.00/0.07 for SRS ( [0, 0, 1] -> [2, 2, 1], [2, 0, 1] -> [0, 0, 2], [0, 1, 0] ->= [0, 2, 2], [2, 2, 2] ->= [1, 1, 2], [2, 0, 1] ->= [0, 0, 1], [1, 0, 0] ->= [0, 0, 0]) 0.00/0.07 reason 0.00/0.07 Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 0.00/0.07 using 15 tiles 0.00/0.07 [ [0, >] , [1, >] , [2, >] , [<, 0] , [0, 0] , [1, 0] , [2, 0] , [<, 1] , [0, 1] , [1, 1] , [2, 1] , [<, 2] , [0, 2] , [1, 2] , [2, 2] ] 0.00/0.07 tile all rules 0.00/0.07 0.00/0.07 property Termination 0.00/0.07 has value True 0.00/0.08 for SRS ( [[<, 0], [0, 0], [0, 1], [1, >]] -> [[<, 2], [2, 2], [2, 1], [1, >]], [[<, 0], [0, 0], [0, 1], [1, 0]] -> [[<, 2], [2, 2], [2, 1], [1, 0]], [[<, 0], [0, 0], [0, 1], [1, 1]] -> [[<, 2], [2, 2], [2, 1], [1, 1]], [[<, 0], [0, 0], [0, 1], [1, 2]] -> [[<, 2], [2, 2], [2, 1], [1, 2]], [[0, 0], [0, 0], [0, 1], [1, >]] -> [[0, 2], [2, 2], [2, 1], [1, >]], [[0, 0], [0, 0], [0, 1], [1, 0]] -> [[0, 2], [2, 2], [2, 1], [1, 0]], [[0, 0], [0, 0], [0, 1], [1, 1]] -> [[0, 2], [2, 2], [2, 1], [1, 1]], [[0, 0], [0, 0], [0, 1], [1, 2]] -> [[0, 2], [2, 2], [2, 1], [1, 2]], [[1, 0], [0, 0], [0, 1], [1, >]] -> [[1, 2], [2, 2], [2, 1], [1, >]], [[1, 0], [0, 0], [0, 1], [1, 0]] -> [[1, 2], [2, 2], [2, 1], [1, 0]], [[1, 0], [0, 0], [0, 1], [1, 1]] -> [[1, 2], [2, 2], [2, 1], [1, 1]], [[1, 0], [0, 0], [0, 1], [1, 2]] -> [[1, 2], [2, 2], [2, 1], [1, 2]], [[2, 0], [0, 0], [0, 1], [1, >]] -> [[2, 2], [2, 2], [2, 1], [1, >]], [[2, 0], [0, 0], [0, 1], [1, 0]] -> [[2, 2], [2, 2], [2, 1], [1, 0]], [[2, 0], [0, 0], [0, 1], [1, 1]] -> [[2, 2], [2, 2], [2, 1], [1, 1]], [[2, 0], [0, 0], [0, 1], [1, 2]] -> [[2, 2], [2, 2], [2, 1], [1, 2]], [[<, 2], [2, 0], [0, 1], [1, >]] -> [[<, 0], [0, 0], [0, 2], [2, >]], [[<, 2], [2, 0], [0, 1], [1, 0]] -> [[<, 0], [0, 0], [0, 2], [2, 0]], [[<, 2], [2, 0], [0, 1], [1, 1]] -> [[<, 0], [0, 0], [0, 2], [2, 1]], [[<, 2], [2, 0], [0, 1], [1, 2]] -> [[<, 0], [0, 0], [0, 2], [2, 2]], [[0, 2], [2, 0], [0, 1], [1, >]] -> [[0, 0], [0, 0], [0, 2], [2, >]], [[0, 2], [2, 0], [0, 1], [1, 0]] -> [[0, 0], [0, 0], [0, 2], [2, 0]], [[0, 2], [2, 0], [0, 1], [1, 1]] -> [[0, 0], [0, 0], [0, 2], [2, 1]], [[0, 2], [2, 0], [0, 1], [1, 2]] -> [[0, 0], [0, 0], [0, 2], [2, 2]], [[1, 2], [2, 0], [0, 1], [1, >]] -> [[1, 0], [0, 0], [0, 2], [2, >]], [[1, 2], [2, 0], [0, 1], [1, 0]] -> [[1, 0], [0, 0], [0, 2], [2, 0]], [[1, 2], [2, 0], [0, 1], [1, 1]] -> [[1, 0], [0, 0], [0, 2], [2, 1]], [[1, 2], [2, 0], [0, 1], [1, 2]] -> [[1, 0], [0, 0], [0, 2], [2, 2]], [[2, 2], [2, 0], [0, 1], [1, >]] -> [[2, 0], [0, 0], [0, 2], [2, >]], [[2, 2], [2, 0], [0, 1], [1, 0]] -> [[2, 0], [0, 0], [0, 2], [2, 0]], [[2, 2], [2, 0], [0, 1], [1, 1]] -> [[2, 0], [0, 0], [0, 2], [2, 1]], [[2, 2], [2, 0], [0, 1], [1, 2]] -> [[2, 0], [0, 0], [0, 2], [2, 2]], [[<, 0], [0, 1], [1, 0], [0, >]] ->= [[<, 0], [0, 2], [2, 2], [2, >]], [[<, 0], [0, 1], [1, 0], [0, 0]] ->= [[<, 0], [0, 2], [2, 2], [2, 0]], [[<, 0], [0, 1], [1, 0], [0, 1]] ->= [[<, 0], [0, 2], [2, 2], [2, 1]], [[<, 0], [0, 1], [1, 0], [0, 2]] ->= [[<, 0], [0, 2], [2, 2], [2, 2]], [[0, 0], [0, 1], [1, 0], [0, >]] ->= [[0, 0], [0, 2], [2, 2], [2, >]], [[0, 0], [0, 1], [1, 0], [0, 0]] ->= [[0, 0], [0, 2], [2, 2], [2, 0]], [[0, 0], [0, 1], [1, 0], [0, 1]] ->= [[0, 0], [0, 2], [2, 2], [2, 1]], [[0, 0], [0, 1], [1, 0], [0, 2]] ->= [[0, 0], [0, 2], [2, 2], [2, 2]], [[1, 0], [0, 1], [1, 0], [0, >]] ->= [[1, 0], [0, 2], [2, 2], [2, >]], [[1, 0], [0, 1], [1, 0], [0, 0]] ->= [[1, 0], [0, 2], [2, 2], [2, 0]], [[1, 0], [0, 1], [1, 0], [0, 1]] ->= [[1, 0], [0, 2], [2, 2], [2, 1]], [[1, 0], [0, 1], [1, 0], [0, 2]] ->= [[1, 0], [0, 2], [2, 2], [2, 2]], [[2, 0], [0, 1], [1, 0], [0, >]] ->= [[2, 0], [0, 2], [2, 2], [2, >]], [[2, 0], [0, 1], [1, 0], [0, 0]] ->= [[2, 0], [0, 2], [2, 2], [2, 0]], [[2, 0], [0, 1], [1, 0], [0, 1]] ->= [[2, 0], [0, 2], [2, 2], [2, 1]], [[2, 0], [0, 1], [1, 0], [0, 2]] ->= [[2, 0], [0, 2], [2, 2], [2, 2]], [[<, 2], [2, 2], [2, 2], [2, >]] ->= [[<, 1], [1, 1], [1, 2], [2, >]], [[<, 2], [2, 2], [2, 2], [2, 0]] ->= [[<, 1], [1, 1], [1, 2], [2, 0]], [[<, 2], [2, 2], [2, 2], [2, 1]] ->= [[<, 1], [1, 1], [1, 2], [2, 1]], [[<, 2], [2, 2], [2, 2], [2, 2]] ->= [[<, 1], [1, 1], [1, 2], [2, 2]], [[0, 2], [2, 2], [2, 2], [2, >]] ->= [[0, 1], [1, 1], [1, 2], [2, >]], [[0, 2], [2, 2], [2, 2], [2, 0]] ->= [[0, 1], [1, 1], [1, 2], [2, 0]], [[0, 2], [2, 2], [2, 2], [2, 1]] ->= [[0, 1], [1, 1], [1, 2], [2, 1]], [[0, 2], [2, 2], [2, 2], [2, 2]] ->= [[0, 1], [1, 1], [1, 2], [2, 2]], [[1, 2], [2, 2], [2, 2], [2, >]] ->= [[1, 1], [1, 1], [1, 2], [2, >]], [[1, 2], [2, 2], [2, 2], [2, 0]] ->= [[1, 1], [1, 1], [1, 2], [2, 0]], [[1, 2], [2, 2], [2, 2], [2, 1]] ->= [[1, 1], [1, 1], [1, 2], [2, 1]], [[1, 2], [2, 2], [2, 2], [2, 2]] ->= [[1, 1], [1, 1], [1, 2], [2, 2]], [[2, 2], [2, 2], [2, 2], [2, >]] ->= [[2, 1], [1, 1], [1, 2], [2, >]], [[2, 2], [2, 2], [2, 2], [2, 0]] ->= [[2, 1], [1, 1], [1, 2], [2, 0]], [[2, 2], [2, 2], [2, 2], [2, 1]] ->= [[2, 1], [1, 1], [1, 2], [2, 1]], [[2, 2], [2, 2], [2, 2], [2, 2]] ->= [[2, 1], [1, 1], [1, 2], [2, 2]], [[<, 2], [2, 0], [0, 1], [1, >]] ->= [[<, 0], [0, 0], [0, 1], [1, >]], [[<, 2], [2, 0], [0, 1], [1, 0]] ->= [[<, 0], [0, 0], [0, 1], [1, 0]], [[<, 2], [2, 0], [0, 1], [1, 1]] ->= [[<, 0], [0, 0], [0, 1], [1, 1]], [[<, 2], [2, 0], [0, 1], [1, 2]] ->= [[<, 0], [0, 0], [0, 1], [1, 2]], [[0, 2], [2, 0], [0, 1], [1, >]] ->= [[0, 0], [0, 0], [0, 1], [1, >]], [[0, 2], [2, 0], [0, 1], [1, 0]] ->= [[0, 0], [0, 0], [0, 1], [1, 0]], [[0, 2], [2, 0], [0, 1], [1, 1]] ->= [[0, 0], [0, 0], [0, 1], [1, 1]], [[0, 2], [2, 0], [0, 1], [1, 2]] ->= [[0, 0], [0, 0], [0, 1], [1, 2]], [[1, 2], [2, 0], [0, 1], [1, >]] ->= [[1, 0], [0, 0], [0, 1], [1, >]], [[1, 2], [2, 0], [0, 1], [1, 0]] ->= [[1, 0], [0, 0], [0, 1], [1, 0]], [[1, 2], [2, 0], [0, 1], [1, 1]] ->= [[1, 0], [0, 0], [0, 1], [1, 1]], [[1, 2], [2, 0], [0, 1], [1, 2]] ->= [[1, 0], [0, 0], [0, 1], [1, 2]], [[2, 2], [2, 0], [0, 1], [1, >]] ->= [[2, 0], [0, 0], [0, 1], [1, >]], [[2, 2], [2, 0], [0, 1], [1, 0]] ->= [[2, 0], [0, 0], [0, 1], [1, 0]], [[2, 2], [2, 0], [0, 1], [1, 1]] ->= [[2, 0], [0, 0], [0, 1], [1, 1]], [[2, 2], [2, 0], [0, 1], [1, 2]] ->= [[2, 0], [0, 0], [0, 1], [1, 2]], [[<, 1], [1, 0], [0, 0], [0, >]] ->= [[<, 0], [0, 0], [0, 0], [0, >]], [[<, 1], [1, 0], [0, 0], [0, 0]] ->= [[<, 0], [0, 0], [0, 0], [0, 0]], [[<, 1], [1, 0], [0, 0], [0, 1]] ->= [[<, 0], [0, 0], [0, 0], [0, 1]], [[<, 1], [1, 0], [0, 0], [0, 2]] ->= [[<, 0], [0, 0], [0, 0], [0, 2]], [[0, 1], [1, 0], [0, 0], [0, >]] ->= [[0, 0], [0, 0], [0, 0], [0, >]], [[0, 1], [1, 0], [0, 0], [0, 0]] ->= [[0, 0], [0, 0], [0, 0], [0, 0]], [[0, 1], [1, 0], [0, 0], [0, 1]] ->= [[0, 0], [0, 0], [0, 0], [0, 1]], [[0, 1], [1, 0], [0, 0], [0, 2]] ->= [[0, 0], [0, 0], [0, 0], [0, 2]], [[1, 1], [1, 0], [0, 0], [0, >]] ->= [[1, 0], [0, 0], [0, 0], [0, >]], [[1, 1], [1, 0], [0, 0], [0, 0]] ->= [[1, 0], [0, 0], [0, 0], [0, 0]], [[1, 1], [1, 0], [0, 0], [0, 1]] ->= [[1, 0], [0, 0], [0, 0], [0, 1]], [[1, 1], [1, 0], [0, 0], [0, 2]] ->= [[1, 0], [0, 0], [0, 0], [0, 2]], [[2, 1], [1, 0], [0, 0], [0, >]] ->= [[2, 0], [0, 0], [0, 0], [0, >]], [[2, 1], [1, 0], [0, 0], [0, 0]] ->= [[2, 0], [0, 0], [0, 0], [0, 0]], [[2, 1], [1, 0], [0, 0], [0, 1]] ->= [[2, 0], [0, 0], [0, 0], [0, 1]], [[2, 1], [1, 0], [0, 0], [0, 2]] ->= [[2, 0], [0, 0], [0, 0], [0, 2]]) 0.00/0.08 reason 0.00/0.08 remap for 96 rules 0.00/0.08 property Termination 0.00/0.08 has value True 0.00/0.08 for SRS ( [0, 1, 2, 3] -> [4, 5, 6, 3], [0, 1, 2, 7] -> [4, 5, 6, 7], [0, 1, 2, 8] -> [4, 5, 6, 8], [0, 1, 2, 9] -> [4, 5, 6, 9], [1, 1, 2, 3] -> [10, 5, 6, 3], [1, 1, 2, 7] -> [10, 5, 6, 7], [1, 1, 2, 8] -> [10, 5, 6, 8], [1, 1, 2, 9] -> [10, 5, 6, 9], [7, 1, 2, 3] -> [9, 5, 6, 3], [7, 1, 2, 7] -> [9, 5, 6, 7], [7, 1, 2, 8] -> [9, 5, 6, 8], [7, 1, 2, 9] -> [9, 5, 6, 9], [11, 1, 2, 3] -> [5, 5, 6, 3], [11, 1, 2, 7] -> [5, 5, 6, 7], [11, 1, 2, 8] -> [5, 5, 6, 8], [11, 1, 2, 9] -> [5, 5, 6, 9], [4, 11, 2, 3] -> [0, 1, 10, 12], [4, 11, 2, 7] -> [0, 1, 10, 11], [4, 11, 2, 8] -> [0, 1, 10, 6], [4, 11, 2, 9] -> [0, 1, 10, 5], [10, 11, 2, 3] -> [1, 1, 10, 12], [10, 11, 2, 7] -> [1, 1, 10, 11], [10, 11, 2, 8] -> [1, 1, 10, 6], [10, 11, 2, 9] -> [1, 1, 10, 5], [9, 11, 2, 3] -> [7, 1, 10, 12], [9, 11, 2, 7] -> [7, 1, 10, 11], [9, 11, 2, 8] -> [7, 1, 10, 6], [9, 11, 2, 9] -> [7, 1, 10, 5], [5, 11, 2, 3] -> [11, 1, 10, 12], [5, 11, 2, 7] -> [11, 1, 10, 11], [5, 11, 2, 8] -> [11, 1, 10, 6], [5, 11, 2, 9] -> [11, 1, 10, 5], [0, 2, 7, 13] ->= [0, 10, 5, 12], [0, 2, 7, 1] ->= [0, 10, 5, 11], [0, 2, 7, 2] ->= [0, 10, 5, 6], [0, 2, 7, 10] ->= [0, 10, 5, 5], [1, 2, 7, 13] ->= [1, 10, 5, 12], [1, 2, 7, 1] ->= [1, 10, 5, 11], [1, 2, 7, 2] ->= [1, 10, 5, 6], [1, 2, 7, 10] ->= [1, 10, 5, 5], [7, 2, 7, 13] ->= [7, 10, 5, 12], [7, 2, 7, 1] ->= [7, 10, 5, 11], [7, 2, 7, 2] ->= [7, 10, 5, 6], [7, 2, 7, 10] ->= [7, 10, 5, 5], [11, 2, 7, 13] ->= [11, 10, 5, 12], [11, 2, 7, 1] ->= [11, 10, 5, 11], [11, 2, 7, 2] ->= [11, 10, 5, 6], [11, 2, 7, 10] ->= [11, 10, 5, 5], [4, 5, 5, 12] ->= [14, 8, 9, 12], [4, 5, 5, 11] ->= [14, 8, 9, 11], [4, 5, 5, 6] ->= [14, 8, 9, 6], [4, 5, 5, 5] ->= [14, 8, 9, 5], [10, 5, 5, 12] ->= [2, 8, 9, 12], [10, 5, 5, 11] ->= [2, 8, 9, 11], [10, 5, 5, 6] ->= [2, 8, 9, 6], [10, 5, 5, 5] ->= [2, 8, 9, 5], [9, 5, 5, 12] ->= [8, 8, 9, 12], [9, 5, 5, 11] ->= [8, 8, 9, 11], [9, 5, 5, 6] ->= [8, 8, 9, 6], [9, 5, 5, 5] ->= [8, 8, 9, 5], [5, 5, 5, 12] ->= [6, 8, 9, 12], [5, 5, 5, 11] ->= [6, 8, 9, 11], [5, 5, 5, 6] ->= [6, 8, 9, 6], [5, 5, 5, 5] ->= [6, 8, 9, 5], [4, 11, 2, 3] ->= [0, 1, 2, 3], [4, 11, 2, 7] ->= [0, 1, 2, 7], [4, 11, 2, 8] ->= [0, 1, 2, 8], [4, 11, 2, 9] ->= [0, 1, 2, 9], [10, 11, 2, 3] ->= [1, 1, 2, 3], [10, 11, 2, 7] ->= [1, 1, 2, 7], [10, 11, 2, 8] ->= [1, 1, 2, 8], [10, 11, 2, 9] ->= [1, 1, 2, 9], [9, 11, 2, 3] ->= [7, 1, 2, 3], [9, 11, 2, 7] ->= [7, 1, 2, 7], [9, 11, 2, 8] ->= [7, 1, 2, 8], [9, 11, 2, 9] ->= [7, 1, 2, 9], [5, 11, 2, 3] ->= [11, 1, 2, 3], [5, 11, 2, 7] ->= [11, 1, 2, 7], [5, 11, 2, 8] ->= [11, 1, 2, 8], [5, 11, 2, 9] ->= [11, 1, 2, 9], [14, 7, 1, 13] ->= [0, 1, 1, 13], [14, 7, 1, 1] ->= [0, 1, 1, 1], [14, 7, 1, 2] ->= [0, 1, 1, 2], [14, 7, 1, 10] ->= [0, 1, 1, 10], [2, 7, 1, 13] ->= [1, 1, 1, 13], [2, 7, 1, 1] ->= [1, 1, 1, 1], [2, 7, 1, 2] ->= [1, 1, 1, 2], [2, 7, 1, 10] ->= [1, 1, 1, 10], [8, 7, 1, 13] ->= [7, 1, 1, 13], [8, 7, 1, 1] ->= [7, 1, 1, 1], [8, 7, 1, 2] ->= [7, 1, 1, 2], [8, 7, 1, 10] ->= [7, 1, 1, 10], [6, 7, 1, 13] ->= [11, 1, 1, 13], [6, 7, 1, 1] ->= [11, 1, 1, 1], [6, 7, 1, 2] ->= [11, 1, 1, 2], [6, 7, 1, 10] ->= [11, 1, 1, 10]) 0.00/0.08 reason 0.00/0.08 weights 0.00/0.08 Map [(2, 84/1), (3, 1/1), (4, 21/1), (5, 37/1), (6, 4/1), (7, 4/1), (8, 5/1), (9, 5/1), (10, 42/1), (13, 1/1), (14, 21/1)] 0.00/0.08 0.00/0.08 property Termination 0.00/0.08 has value True 0.00/0.08 for SRS ( ) 0.00/0.08 reason 0.00/0.08 has no strict rules 0.00/0.08 0.00/0.08 ************************************************** 0.00/0.08 summary 0.00/0.08 ************************************************** 0.00/0.08 SRS with 6 rules on 3 letters Remap { tracing = False} 0.00/0.08 SRS with 6 rules on 3 letters tile all, by Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 0.00/0.08 SRS with 96 rules on 15 letters Remap { tracing = False} 0.00/0.08 SRS with 96 rules on 15 letters weights 0.00/0.08 SRS with 0 rules on 0 letters has no strict rules 0.00/0.08 0.00/0.08 ************************************************** 0.00/0.08 (6, 3)\TileAllROC{2}(96, 15)\Weight(0, 0)[] 0.00/0.08 ************************************************** 0.00/0.08 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))))))} 0.00/0.08 in Apply (Worker Remap) method 0.00/0.09 EOF