0.00/0.20 YES 0.00/0.20 property Termination 0.00/0.20 has value True 0.00/0.20 for SRS ( [b, b, b] -> [b, a, c], [a, a, c] -> [b, b, a], [a, b, c] ->= [c, b, a], [b, b, a] ->= [c, b, c], [c, a, c] ->= [a, b, c], [a, b, b] ->= [c, b, a]) 0.00/0.20 reason 0.00/0.20 remap for 6 rules 0.00/0.20 property Termination 0.00/0.20 has value True 0.00/0.20 for SRS ( [0, 0, 0] -> [0, 1, 2], [1, 1, 2] -> [0, 0, 1], [1, 0, 2] ->= [2, 0, 1], [0, 0, 1] ->= [2, 0, 2], [2, 1, 2] ->= [1, 0, 2], [1, 0, 0] ->= [2, 0, 1]) 0.00/0.20 reason 0.00/0.20 Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 0.00/0.20 using 14 tiles 0.00/0.20 [ [1, >] , [2, >] , [<, 0] , [0, 0] , [1, 0] , [2, 0] , [<, 1] , [0, 1] , [1, 1] , [2, 1] , [<, 2] , [0, 2] , [1, 2] , [2, 2] ] 0.00/0.20 tile all rules 0.00/0.20 0.00/0.20 property Termination 0.00/0.20 has value True 0.00/0.20 for SRS ( [[<, 0], [0, 0], [0, 0], [0, 0]] -> [[<, 0], [0, 1], [1, 2], [2, 0]], [[<, 0], [0, 0], [0, 0], [0, 1]] -> [[<, 0], [0, 1], [1, 2], [2, 1]], [[<, 0], [0, 0], [0, 0], [0, 2]] -> [[<, 0], [0, 1], [1, 2], [2, 2]], [[0, 0], [0, 0], [0, 0], [0, 0]] -> [[0, 0], [0, 1], [1, 2], [2, 0]], [[0, 0], [0, 0], [0, 0], [0, 1]] -> [[0, 0], [0, 1], [1, 2], [2, 1]], [[0, 0], [0, 0], [0, 0], [0, 2]] -> [[0, 0], [0, 1], [1, 2], [2, 2]], [[1, 0], [0, 0], [0, 0], [0, 0]] -> [[1, 0], [0, 1], [1, 2], [2, 0]], [[1, 0], [0, 0], [0, 0], [0, 1]] -> [[1, 0], [0, 1], [1, 2], [2, 1]], [[1, 0], [0, 0], [0, 0], [0, 2]] -> [[1, 0], [0, 1], [1, 2], [2, 2]], [[2, 0], [0, 0], [0, 0], [0, 0]] -> [[2, 0], [0, 1], [1, 2], [2, 0]], [[2, 0], [0, 0], [0, 0], [0, 1]] -> [[2, 0], [0, 1], [1, 2], [2, 1]], [[2, 0], [0, 0], [0, 0], [0, 2]] -> [[2, 0], [0, 1], [1, 2], [2, 2]], [[<, 1], [1, 1], [1, 2], [2, >]] -> [[<, 0], [0, 0], [0, 1], [1, >]], [[<, 1], [1, 1], [1, 2], [2, 0]] -> [[<, 0], [0, 0], [0, 1], [1, 0]], [[<, 1], [1, 1], [1, 2], [2, 1]] -> [[<, 0], [0, 0], [0, 1], [1, 1]], [[<, 1], [1, 1], [1, 2], [2, 2]] -> [[<, 0], [0, 0], [0, 1], [1, 2]], [[0, 1], [1, 1], [1, 2], [2, >]] -> [[0, 0], [0, 0], [0, 1], [1, >]], [[0, 1], [1, 1], [1, 2], [2, 0]] -> [[0, 0], [0, 0], [0, 1], [1, 0]], [[0, 1], [1, 1], [1, 2], [2, 1]] -> [[0, 0], [0, 0], [0, 1], [1, 1]], [[0, 1], [1, 1], [1, 2], [2, 2]] -> [[0, 0], [0, 0], [0, 1], [1, 2]], [[1, 1], [1, 1], [1, 2], [2, >]] -> [[1, 0], [0, 0], [0, 1], [1, >]], [[1, 1], [1, 1], [1, 2], [2, 0]] -> [[1, 0], [0, 0], [0, 1], [1, 0]], [[1, 1], [1, 1], [1, 2], [2, 1]] -> [[1, 0], [0, 0], [0, 1], [1, 1]], [[1, 1], [1, 1], [1, 2], [2, 2]] -> [[1, 0], [0, 0], [0, 1], [1, 2]], [[2, 1], [1, 1], [1, 2], [2, >]] -> [[2, 0], [0, 0], [0, 1], [1, >]], [[2, 1], [1, 1], [1, 2], [2, 0]] -> [[2, 0], [0, 0], [0, 1], [1, 0]], [[2, 1], [1, 1], [1, 2], [2, 1]] -> [[2, 0], [0, 0], [0, 1], [1, 1]], [[2, 1], [1, 1], [1, 2], [2, 2]] -> [[2, 0], [0, 0], [0, 1], [1, 2]], [[<, 1], [1, 0], [0, 2], [2, >]] ->= [[<, 2], [2, 0], [0, 1], [1, >]], [[<, 1], [1, 0], [0, 2], [2, 0]] ->= [[<, 2], [2, 0], [0, 1], [1, 0]], [[<, 1], [1, 0], [0, 2], [2, 1]] ->= [[<, 2], [2, 0], [0, 1], [1, 1]], [[<, 1], [1, 0], [0, 2], [2, 2]] ->= [[<, 2], [2, 0], [0, 1], [1, 2]], [[0, 1], [1, 0], [0, 2], [2, >]] ->= [[0, 2], [2, 0], [0, 1], [1, >]], [[0, 1], [1, 0], [0, 2], [2, 0]] ->= [[0, 2], [2, 0], [0, 1], [1, 0]], [[0, 1], [1, 0], [0, 2], [2, 1]] ->= [[0, 2], [2, 0], [0, 1], [1, 1]], [[0, 1], [1, 0], [0, 2], [2, 2]] ->= [[0, 2], [2, 0], [0, 1], [1, 2]], [[1, 1], [1, 0], [0, 2], [2, >]] ->= [[1, 2], [2, 0], [0, 1], [1, >]], [[1, 1], [1, 0], [0, 2], [2, 0]] ->= [[1, 2], [2, 0], [0, 1], [1, 0]], [[1, 1], [1, 0], [0, 2], [2, 1]] ->= [[1, 2], [2, 0], [0, 1], [1, 1]], [[1, 1], [1, 0], [0, 2], [2, 2]] ->= [[1, 2], [2, 0], [0, 1], [1, 2]], [[2, 1], [1, 0], [0, 2], [2, >]] ->= [[2, 2], [2, 0], [0, 1], [1, >]], [[2, 1], [1, 0], [0, 2], [2, 0]] ->= [[2, 2], [2, 0], [0, 1], [1, 0]], [[2, 1], [1, 0], [0, 2], [2, 1]] ->= [[2, 2], [2, 0], [0, 1], [1, 1]], [[2, 1], [1, 0], [0, 2], [2, 2]] ->= [[2, 2], [2, 0], [0, 1], [1, 2]], [[<, 0], [0, 0], [0, 1], [1, >]] ->= [[<, 2], [2, 0], [0, 2], [2, >]], [[<, 0], [0, 0], [0, 1], [1, 0]] ->= [[<, 2], [2, 0], [0, 2], [2, 0]], [[<, 0], [0, 0], [0, 1], [1, 1]] ->= [[<, 2], [2, 0], [0, 2], [2, 1]], [[<, 0], [0, 0], [0, 1], [1, 2]] ->= [[<, 2], [2, 0], [0, 2], [2, 2]], [[0, 0], [0, 0], [0, 1], [1, >]] ->= [[0, 2], [2, 0], [0, 2], [2, >]], [[0, 0], [0, 0], [0, 1], [1, 0]] ->= [[0, 2], [2, 0], [0, 2], [2, 0]], [[0, 0], [0, 0], [0, 1], [1, 1]] ->= [[0, 2], [2, 0], [0, 2], [2, 1]], [[0, 0], [0, 0], [0, 1], [1, 2]] ->= [[0, 2], [2, 0], [0, 2], [2, 2]], [[1, 0], [0, 0], [0, 1], [1, >]] ->= [[1, 2], [2, 0], [0, 2], [2, >]], [[1, 0], [0, 0], [0, 1], [1, 0]] ->= [[1, 2], [2, 0], [0, 2], [2, 0]], [[1, 0], [0, 0], [0, 1], [1, 1]] ->= [[1, 2], [2, 0], [0, 2], [2, 1]], [[1, 0], [0, 0], [0, 1], [1, 2]] ->= [[1, 2], [2, 0], [0, 2], [2, 2]], [[2, 0], [0, 0], [0, 1], [1, >]] ->= [[2, 2], [2, 0], [0, 2], [2, >]], [[2, 0], [0, 0], [0, 1], [1, 0]] ->= [[2, 2], [2, 0], [0, 2], [2, 0]], [[2, 0], [0, 0], [0, 1], [1, 1]] ->= [[2, 2], [2, 0], [0, 2], [2, 1]], [[2, 0], [0, 0], [0, 1], [1, 2]] ->= [[2, 2], [2, 0], [0, 2], [2, 2]], [[<, 2], [2, 1], [1, 2], [2, >]] ->= [[<, 1], [1, 0], [0, 2], [2, >]], [[<, 2], [2, 1], [1, 2], [2, 0]] ->= [[<, 1], [1, 0], [0, 2], [2, 0]], [[<, 2], [2, 1], [1, 2], [2, 1]] ->= [[<, 1], [1, 0], [0, 2], [2, 1]], [[<, 2], [2, 1], [1, 2], [2, 2]] ->= [[<, 1], [1, 0], [0, 2], [2, 2]], [[0, 2], [2, 1], [1, 2], [2, >]] ->= [[0, 1], [1, 0], [0, 2], [2, >]], [[0, 2], [2, 1], [1, 2], [2, 0]] ->= [[0, 1], [1, 0], [0, 2], [2, 0]], [[0, 2], [2, 1], [1, 2], [2, 1]] ->= [[0, 1], [1, 0], [0, 2], [2, 1]], [[0, 2], [2, 1], [1, 2], [2, 2]] ->= [[0, 1], [1, 0], [0, 2], [2, 2]], [[1, 2], [2, 1], [1, 2], [2, >]] ->= [[1, 1], [1, 0], [0, 2], [2, >]], [[1, 2], [2, 1], [1, 2], [2, 0]] ->= [[1, 1], [1, 0], [0, 2], [2, 0]], [[1, 2], [2, 1], [1, 2], [2, 1]] ->= [[1, 1], [1, 0], [0, 2], [2, 1]], [[1, 2], [2, 1], [1, 2], [2, 2]] ->= [[1, 1], [1, 0], [0, 2], [2, 2]], [[2, 2], [2, 1], [1, 2], [2, >]] ->= [[2, 1], [1, 0], [0, 2], [2, >]], [[2, 2], [2, 1], [1, 2], [2, 0]] ->= [[2, 1], [1, 0], [0, 2], [2, 0]], [[2, 2], [2, 1], [1, 2], [2, 1]] ->= [[2, 1], [1, 0], [0, 2], [2, 1]], [[2, 2], [2, 1], [1, 2], [2, 2]] ->= [[2, 1], [1, 0], [0, 2], [2, 2]], [[<, 1], [1, 0], [0, 0], [0, 0]] ->= [[<, 2], [2, 0], [0, 1], [1, 0]], [[<, 1], [1, 0], [0, 0], [0, 1]] ->= [[<, 2], [2, 0], [0, 1], [1, 1]], [[<, 1], [1, 0], [0, 0], [0, 2]] ->= [[<, 2], [2, 0], [0, 1], [1, 2]], [[0, 1], [1, 0], [0, 0], [0, 0]] ->= [[0, 2], [2, 0], [0, 1], [1, 0]], [[0, 1], [1, 0], [0, 0], [0, 1]] ->= [[0, 2], [2, 0], [0, 1], [1, 1]], [[0, 1], [1, 0], [0, 0], [0, 2]] ->= [[0, 2], [2, 0], [0, 1], [1, 2]], [[1, 1], [1, 0], [0, 0], [0, 0]] ->= [[1, 2], [2, 0], [0, 1], [1, 0]], [[1, 1], [1, 0], [0, 0], [0, 1]] ->= [[1, 2], [2, 0], [0, 1], [1, 1]], [[1, 1], [1, 0], [0, 0], [0, 2]] ->= [[1, 2], [2, 0], [0, 1], [1, 2]], [[2, 1], [1, 0], [0, 0], [0, 0]] ->= [[2, 2], [2, 0], [0, 1], [1, 0]], [[2, 1], [1, 0], [0, 0], [0, 1]] ->= [[2, 2], [2, 0], [0, 1], [1, 1]], [[2, 1], [1, 0], [0, 0], [0, 2]] ->= [[2, 2], [2, 0], [0, 1], [1, 2]]) 0.00/0.20 reason 0.00/0.20 remap for 88 rules 0.00/0.20 property Termination 0.00/0.20 has value True 0.00/0.21 for SRS ( [0, 1, 1, 1] -> [0, 2, 3, 4], [0, 1, 1, 2] -> [0, 2, 3, 5], [0, 1, 1, 6] -> [0, 2, 3, 7], [1, 1, 1, 1] -> [1, 2, 3, 4], [1, 1, 1, 2] -> [1, 2, 3, 5], [1, 1, 1, 6] -> [1, 2, 3, 7], [8, 1, 1, 1] -> [8, 2, 3, 4], [8, 1, 1, 2] -> [8, 2, 3, 5], [8, 1, 1, 6] -> [8, 2, 3, 7], [4, 1, 1, 1] -> [4, 2, 3, 4], [4, 1, 1, 2] -> [4, 2, 3, 5], [4, 1, 1, 6] -> [4, 2, 3, 7], [9, 10, 3, 11] -> [0, 1, 2, 12], [9, 10, 3, 4] -> [0, 1, 2, 8], [9, 10, 3, 5] -> [0, 1, 2, 10], [9, 10, 3, 7] -> [0, 1, 2, 3], [2, 10, 3, 11] -> [1, 1, 2, 12], [2, 10, 3, 4] -> [1, 1, 2, 8], [2, 10, 3, 5] -> [1, 1, 2, 10], [2, 10, 3, 7] -> [1, 1, 2, 3], [10, 10, 3, 11] -> [8, 1, 2, 12], [10, 10, 3, 4] -> [8, 1, 2, 8], [10, 10, 3, 5] -> [8, 1, 2, 10], [10, 10, 3, 7] -> [8, 1, 2, 3], [5, 10, 3, 11] -> [4, 1, 2, 12], [5, 10, 3, 4] -> [4, 1, 2, 8], [5, 10, 3, 5] -> [4, 1, 2, 10], [5, 10, 3, 7] -> [4, 1, 2, 3], [9, 8, 6, 11] ->= [13, 4, 2, 12], [9, 8, 6, 4] ->= [13, 4, 2, 8], [9, 8, 6, 5] ->= [13, 4, 2, 10], [9, 8, 6, 7] ->= [13, 4, 2, 3], [2, 8, 6, 11] ->= [6, 4, 2, 12], [2, 8, 6, 4] ->= [6, 4, 2, 8], [2, 8, 6, 5] ->= [6, 4, 2, 10], [2, 8, 6, 7] ->= [6, 4, 2, 3], [10, 8, 6, 11] ->= [3, 4, 2, 12], [10, 8, 6, 4] ->= [3, 4, 2, 8], [10, 8, 6, 5] ->= [3, 4, 2, 10], [10, 8, 6, 7] ->= [3, 4, 2, 3], [5, 8, 6, 11] ->= [7, 4, 2, 12], [5, 8, 6, 4] ->= [7, 4, 2, 8], [5, 8, 6, 5] ->= [7, 4, 2, 10], [5, 8, 6, 7] ->= [7, 4, 2, 3], [0, 1, 2, 12] ->= [13, 4, 6, 11], [0, 1, 2, 8] ->= [13, 4, 6, 4], [0, 1, 2, 10] ->= [13, 4, 6, 5], [0, 1, 2, 3] ->= [13, 4, 6, 7], [1, 1, 2, 12] ->= [6, 4, 6, 11], [1, 1, 2, 8] ->= [6, 4, 6, 4], [1, 1, 2, 10] ->= [6, 4, 6, 5], [1, 1, 2, 3] ->= [6, 4, 6, 7], [8, 1, 2, 12] ->= [3, 4, 6, 11], [8, 1, 2, 8] ->= [3, 4, 6, 4], [8, 1, 2, 10] ->= [3, 4, 6, 5], [8, 1, 2, 3] ->= [3, 4, 6, 7], [4, 1, 2, 12] ->= [7, 4, 6, 11], [4, 1, 2, 8] ->= [7, 4, 6, 4], [4, 1, 2, 10] ->= [7, 4, 6, 5], [4, 1, 2, 3] ->= [7, 4, 6, 7], [13, 5, 3, 11] ->= [9, 8, 6, 11], [13, 5, 3, 4] ->= [9, 8, 6, 4], [13, 5, 3, 5] ->= [9, 8, 6, 5], [13, 5, 3, 7] ->= [9, 8, 6, 7], [6, 5, 3, 11] ->= [2, 8, 6, 11], [6, 5, 3, 4] ->= [2, 8, 6, 4], [6, 5, 3, 5] ->= [2, 8, 6, 5], [6, 5, 3, 7] ->= [2, 8, 6, 7], [3, 5, 3, 11] ->= [10, 8, 6, 11], [3, 5, 3, 4] ->= [10, 8, 6, 4], [3, 5, 3, 5] ->= [10, 8, 6, 5], [3, 5, 3, 7] ->= [10, 8, 6, 7], [7, 5, 3, 11] ->= [5, 8, 6, 11], [7, 5, 3, 4] ->= [5, 8, 6, 4], [7, 5, 3, 5] ->= [5, 8, 6, 5], [7, 5, 3, 7] ->= [5, 8, 6, 7], [9, 8, 1, 1] ->= [13, 4, 2, 8], [9, 8, 1, 2] ->= [13, 4, 2, 10], [9, 8, 1, 6] ->= [13, 4, 2, 3], [2, 8, 1, 1] ->= [6, 4, 2, 8], [2, 8, 1, 2] ->= [6, 4, 2, 10], [2, 8, 1, 6] ->= [6, 4, 2, 3], [10, 8, 1, 1] ->= [3, 4, 2, 8], [10, 8, 1, 2] ->= [3, 4, 2, 10], [10, 8, 1, 6] ->= [3, 4, 2, 3], [5, 8, 1, 1] ->= [7, 4, 2, 8], [5, 8, 1, 2] ->= [7, 4, 2, 10], [5, 8, 1, 6] ->= [7, 4, 2, 3]) 0.00/0.21 reason 0.00/0.21 weights 0.00/0.21 Map [(1, 117/16), (2, 1/1), (3, 59/8), (5, 29/4), (7, 119/32), (8, 29/4), (9, 17/8), (10, 29/2)] 0.00/0.21 0.00/0.21 property Termination 0.00/0.21 has value True 0.00/0.21 for SRS ( [0, 1, 1, 2] -> [0, 2, 3, 5], [1, 1, 1, 2] -> [1, 2, 3, 5], [8, 1, 1, 2] -> [8, 2, 3, 5], [4, 1, 1, 2] -> [4, 2, 3, 5], [2, 10, 3, 4] -> [1, 1, 2, 8], [2, 10, 3, 5] -> [1, 1, 2, 10], [2, 8, 6, 4] ->= [6, 4, 2, 8], [2, 8, 6, 5] ->= [6, 4, 2, 10]) 0.00/0.21 reason 0.00/0.21 Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 0.00/0.21 using 28 tiles 0.00/0.21 [ [5, >] , [8, >] , [10, >] , [<, 0] , [<, 1] , [0, 1] , [1, 1] , [4, 1] , [8, 1] , [0, 2] , [1, 2] , [4, 2] , [8, 2] , [2, 3] , [5, 3] , [<, 4] , [6, 4] , [3, 5] , [<, 6] , [0, 6] , [1, 6] , [4, 6] , [8, 6] , [<, 8] , [2, 8] , [5, 8] , [2, 10] , [5, 10] ] 0.00/0.21 remove some unmatched rules 0.00/0.21 0.00/0.21 property Termination 0.00/0.21 has value True 0.00/0.21 for SRS ( [[0], [1], [1], [2]] -> [[0], [2], [3], [5]], [[1], [1], [1], [2]] -> [[1], [2], [3], [5]], [[8], [1], [1], [2]] -> [[8], [2], [3], [5]], [[4], [1], [1], [2]] -> [[4], [2], [3], [5]], [[2], [8], [6], [4]] ->= [[6], [4], [2], [8]]) 0.00/0.21 reason 0.00/0.21 remap for 5 rules 0.00/0.21 property Termination 0.00/0.21 has value True 0.00/0.21 for SRS ( [0, 1, 1, 2] -> [0, 2, 3, 4], [1, 1, 1, 2] -> [1, 2, 3, 4], [5, 1, 1, 2] -> [5, 2, 3, 4], [6, 1, 1, 2] -> [6, 2, 3, 4], [2, 5, 7, 6] ->= [7, 6, 2, 5]) 0.00/0.21 reason 0.00/0.21 weights 0.00/0.21 Map [(1, 4/1)] 0.00/0.21 0.00/0.21 property Termination 0.00/0.21 has value True 0.00/0.21 for SRS ( [2, 5, 7, 6] ->= [7, 6, 2, 5]) 0.00/0.21 reason 0.00/0.21 has no strict rules 0.00/0.21 0.00/0.21 ************************************************** 0.00/0.21 summary 0.00/0.21 ************************************************** 0.00/0.21 SRS with 6 rules on 3 letters Remap { tracing = False} 0.00/0.21 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} 0.00/0.21 SRS with 88 rules on 14 letters Remap { tracing = False} 0.00/0.21 SRS with 88 rules on 14 letters weights 0.00/0.21 SRS with 8 rules on 9 letters remove some, by Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 0.00/0.21 SRS with 5 rules on 8 letters Remap { tracing = False} 0.00/0.21 SRS with 5 rules on 8 letters weights 0.00/0.21 SRS with 1 rules on 4 letters has no strict rules 0.00/0.21 0.00/0.21 ************************************************** 0.00/0.21 (6, 3)\TileAllROC{2}(88, 14)\Weight(8, 9)\TileRemoveROC{2}(5, 8)\Weight(1, 4)[] 0.00/0.21 ************************************************** 0.00/0.21 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))))))} 0.00/0.21 in Apply (Worker Remap) method 0.00/0.22 EOF