3.97/1.03 YES 3.97/1.03 property Termination 3.97/1.03 has value True 3.97/1.03 for SRS ( [c, b, b] -> [a, c, a], [a, c, c] -> [a, a, b], [a, a, c] -> [b, b, a], [b, c, b] ->= [a, b, b], [b, c, c] ->= [c, b, b], [a, b, b] ->= [a, c, b], [c, c, a] ->= [a, b, c]) 3.97/1.03 reason 3.97/1.03 remap for 7 rules 3.97/1.03 property Termination 3.97/1.03 has value True 3.97/1.03 for SRS ( [0, 1, 1] -> [2, 0, 2], [2, 0, 0] -> [2, 2, 1], [2, 2, 0] -> [1, 1, 2], [1, 0, 1] ->= [2, 1, 1], [1, 0, 0] ->= [0, 1, 1], [2, 1, 1] ->= [2, 0, 1], [0, 0, 2] ->= [2, 1, 0]) 3.97/1.03 reason 3.97/1.03 Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 3.97/1.03 using 15 tiles 3.97/1.03 [ [0, >] , [1, >] , [2, >] , [<, 0] , [0, 0] , [1, 0] , [2, 0] , [<, 1] , [0, 1] , [1, 1] , [2, 1] , [<, 2] , [0, 2] , [1, 2] , [2, 2] ] 3.97/1.03 tile all rules 3.97/1.03 3.97/1.03 property Termination 3.97/1.03 has value True 3.97/1.06 for SRS ( [[<, 0], [0, 1], [1, 1], [1, >]] -> [[<, 2], [2, 0], [0, 2], [2, >]], [[<, 0], [0, 1], [1, 1], [1, 0]] -> [[<, 2], [2, 0], [0, 2], [2, 0]], [[<, 0], [0, 1], [1, 1], [1, 1]] -> [[<, 2], [2, 0], [0, 2], [2, 1]], [[<, 0], [0, 1], [1, 1], [1, 2]] -> [[<, 2], [2, 0], [0, 2], [2, 2]], [[0, 0], [0, 1], [1, 1], [1, >]] -> [[0, 2], [2, 0], [0, 2], [2, >]], [[0, 0], [0, 1], [1, 1], [1, 0]] -> [[0, 2], [2, 0], [0, 2], [2, 0]], [[0, 0], [0, 1], [1, 1], [1, 1]] -> [[0, 2], [2, 0], [0, 2], [2, 1]], [[0, 0], [0, 1], [1, 1], [1, 2]] -> [[0, 2], [2, 0], [0, 2], [2, 2]], [[1, 0], [0, 1], [1, 1], [1, >]] -> [[1, 2], [2, 0], [0, 2], [2, >]], [[1, 0], [0, 1], [1, 1], [1, 0]] -> [[1, 2], [2, 0], [0, 2], [2, 0]], [[1, 0], [0, 1], [1, 1], [1, 1]] -> [[1, 2], [2, 0], [0, 2], [2, 1]], [[1, 0], [0, 1], [1, 1], [1, 2]] -> [[1, 2], [2, 0], [0, 2], [2, 2]], [[2, 0], [0, 1], [1, 1], [1, >]] -> [[2, 2], [2, 0], [0, 2], [2, >]], [[2, 0], [0, 1], [1, 1], [1, 0]] -> [[2, 2], [2, 0], [0, 2], [2, 0]], [[2, 0], [0, 1], [1, 1], [1, 1]] -> [[2, 2], [2, 0], [0, 2], [2, 1]], [[2, 0], [0, 1], [1, 1], [1, 2]] -> [[2, 2], [2, 0], [0, 2], [2, 2]], [[<, 2], [2, 0], [0, 0], [0, >]] -> [[<, 2], [2, 2], [2, 1], [1, >]], [[<, 2], [2, 0], [0, 0], [0, 0]] -> [[<, 2], [2, 2], [2, 1], [1, 0]], [[<, 2], [2, 0], [0, 0], [0, 1]] -> [[<, 2], [2, 2], [2, 1], [1, 1]], [[<, 2], [2, 0], [0, 0], [0, 2]] -> [[<, 2], [2, 2], [2, 1], [1, 2]], [[0, 2], [2, 0], [0, 0], [0, >]] -> [[0, 2], [2, 2], [2, 1], [1, >]], [[0, 2], [2, 0], [0, 0], [0, 0]] -> [[0, 2], [2, 2], [2, 1], [1, 0]], [[0, 2], [2, 0], [0, 0], [0, 1]] -> [[0, 2], [2, 2], [2, 1], [1, 1]], [[0, 2], [2, 0], [0, 0], [0, 2]] -> [[0, 2], [2, 2], [2, 1], [1, 2]], [[1, 2], [2, 0], [0, 0], [0, >]] -> [[1, 2], [2, 2], [2, 1], [1, >]], [[1, 2], [2, 0], [0, 0], [0, 0]] -> [[1, 2], [2, 2], [2, 1], [1, 0]], [[1, 2], [2, 0], [0, 0], [0, 1]] -> [[1, 2], [2, 2], [2, 1], [1, 1]], [[1, 2], [2, 0], [0, 0], [0, 2]] -> [[1, 2], [2, 2], [2, 1], [1, 2]], [[2, 2], [2, 0], [0, 0], [0, >]] -> [[2, 2], [2, 2], [2, 1], [1, >]], [[2, 2], [2, 0], [0, 0], [0, 0]] -> [[2, 2], [2, 2], [2, 1], [1, 0]], [[2, 2], [2, 0], [0, 0], [0, 1]] -> [[2, 2], [2, 2], [2, 1], [1, 1]], [[2, 2], [2, 0], [0, 0], [0, 2]] -> [[2, 2], [2, 2], [2, 1], [1, 2]], [[<, 2], [2, 2], [2, 0], [0, >]] -> [[<, 1], [1, 1], [1, 2], [2, >]], [[<, 2], [2, 2], [2, 0], [0, 0]] -> [[<, 1], [1, 1], [1, 2], [2, 0]], [[<, 2], [2, 2], [2, 0], [0, 1]] -> [[<, 1], [1, 1], [1, 2], [2, 1]], [[<, 2], [2, 2], [2, 0], [0, 2]] -> [[<, 1], [1, 1], [1, 2], [2, 2]], [[0, 2], [2, 2], [2, 0], [0, >]] -> [[0, 1], [1, 1], [1, 2], [2, >]], [[0, 2], [2, 2], [2, 0], [0, 0]] -> [[0, 1], [1, 1], [1, 2], [2, 0]], [[0, 2], [2, 2], [2, 0], [0, 1]] -> [[0, 1], [1, 1], [1, 2], [2, 1]], [[0, 2], [2, 2], [2, 0], [0, 2]] -> [[0, 1], [1, 1], [1, 2], [2, 2]], [[1, 2], [2, 2], [2, 0], [0, >]] -> [[1, 1], [1, 1], [1, 2], [2, >]], [[1, 2], [2, 2], [2, 0], [0, 0]] -> [[1, 1], [1, 1], [1, 2], [2, 0]], [[1, 2], [2, 2], [2, 0], [0, 1]] -> [[1, 1], [1, 1], [1, 2], [2, 1]], [[1, 2], [2, 2], [2, 0], [0, 2]] -> [[1, 1], [1, 1], [1, 2], [2, 2]], [[2, 2], [2, 2], [2, 0], [0, >]] -> [[2, 1], [1, 1], [1, 2], [2, >]], [[2, 2], [2, 2], [2, 0], [0, 0]] -> [[2, 1], [1, 1], [1, 2], [2, 0]], [[2, 2], [2, 2], [2, 0], [0, 1]] -> [[2, 1], [1, 1], [1, 2], [2, 1]], [[2, 2], [2, 2], [2, 0], [0, 2]] -> [[2, 1], [1, 1], [1, 2], [2, 2]], [[<, 1], [1, 0], [0, 1], [1, >]] ->= [[<, 2], [2, 1], [1, 1], [1, >]], [[<, 1], [1, 0], [0, 1], [1, 0]] ->= [[<, 2], [2, 1], [1, 1], [1, 0]], [[<, 1], [1, 0], [0, 1], [1, 1]] ->= [[<, 2], [2, 1], [1, 1], [1, 1]], [[<, 1], [1, 0], [0, 1], [1, 2]] ->= [[<, 2], [2, 1], [1, 1], [1, 2]], [[0, 1], [1, 0], [0, 1], [1, >]] ->= [[0, 2], [2, 1], [1, 1], [1, >]], [[0, 1], [1, 0], [0, 1], [1, 0]] ->= [[0, 2], [2, 1], [1, 1], [1, 0]], [[0, 1], [1, 0], [0, 1], [1, 1]] ->= [[0, 2], [2, 1], [1, 1], [1, 1]], [[0, 1], [1, 0], [0, 1], [1, 2]] ->= [[0, 2], [2, 1], [1, 1], [1, 2]], [[1, 1], [1, 0], [0, 1], [1, >]] ->= [[1, 2], [2, 1], [1, 1], [1, >]], [[1, 1], [1, 0], [0, 1], [1, 0]] ->= [[1, 2], [2, 1], [1, 1], [1, 0]], [[1, 1], [1, 0], [0, 1], [1, 1]] ->= [[1, 2], [2, 1], [1, 1], [1, 1]], [[1, 1], [1, 0], [0, 1], [1, 2]] ->= [[1, 2], [2, 1], [1, 1], [1, 2]], [[2, 1], [1, 0], [0, 1], [1, >]] ->= [[2, 2], [2, 1], [1, 1], [1, >]], [[2, 1], [1, 0], [0, 1], [1, 0]] ->= [[2, 2], [2, 1], [1, 1], [1, 0]], [[2, 1], [1, 0], [0, 1], [1, 1]] ->= [[2, 2], [2, 1], [1, 1], [1, 1]], [[2, 1], [1, 0], [0, 1], [1, 2]] ->= [[2, 2], [2, 1], [1, 1], [1, 2]], [[<, 1], [1, 0], [0, 0], [0, >]] ->= [[<, 0], [0, 1], [1, 1], [1, >]], [[<, 1], [1, 0], [0, 0], [0, 0]] ->= [[<, 0], [0, 1], [1, 1], [1, 0]], [[<, 1], [1, 0], [0, 0], [0, 1]] ->= [[<, 0], [0, 1], [1, 1], [1, 1]], [[<, 1], [1, 0], [0, 0], [0, 2]] ->= [[<, 0], [0, 1], [1, 1], [1, 2]], [[0, 1], [1, 0], [0, 0], [0, >]] ->= [[0, 0], [0, 1], [1, 1], [1, >]], [[0, 1], [1, 0], [0, 0], [0, 0]] ->= [[0, 0], [0, 1], [1, 1], [1, 0]], [[0, 1], [1, 0], [0, 0], [0, 1]] ->= [[0, 0], [0, 1], [1, 1], [1, 1]], [[0, 1], [1, 0], [0, 0], [0, 2]] ->= [[0, 0], [0, 1], [1, 1], [1, 2]], [[1, 1], [1, 0], [0, 0], [0, >]] ->= [[1, 0], [0, 1], [1, 1], [1, >]], [[1, 1], [1, 0], [0, 0], [0, 0]] ->= [[1, 0], [0, 1], [1, 1], [1, 0]], [[1, 1], [1, 0], [0, 0], [0, 1]] ->= [[1, 0], [0, 1], [1, 1], [1, 1]], [[1, 1], [1, 0], [0, 0], [0, 2]] ->= [[1, 0], [0, 1], [1, 1], [1, 2]], [[2, 1], [1, 0], [0, 0], [0, >]] ->= [[2, 0], [0, 1], [1, 1], [1, >]], [[2, 1], [1, 0], [0, 0], [0, 0]] ->= [[2, 0], [0, 1], [1, 1], [1, 0]], [[2, 1], [1, 0], [0, 0], [0, 1]] ->= [[2, 0], [0, 1], [1, 1], [1, 1]], [[2, 1], [1, 0], [0, 0], [0, 2]] ->= [[2, 0], [0, 1], [1, 1], [1, 2]], [[<, 2], [2, 1], [1, 1], [1, >]] ->= [[<, 2], [2, 0], [0, 1], [1, >]], [[<, 2], [2, 1], [1, 1], [1, 0]] ->= [[<, 2], [2, 0], [0, 1], [1, 0]], [[<, 2], [2, 1], [1, 1], [1, 1]] ->= [[<, 2], [2, 0], [0, 1], [1, 1]], [[<, 2], [2, 1], [1, 1], [1, 2]] ->= [[<, 2], [2, 0], [0, 1], [1, 2]], [[0, 2], [2, 1], [1, 1], [1, >]] ->= [[0, 2], [2, 0], [0, 1], [1, >]], [[0, 2], [2, 1], [1, 1], [1, 0]] ->= [[0, 2], [2, 0], [0, 1], [1, 0]], [[0, 2], [2, 1], [1, 1], [1, 1]] ->= [[0, 2], [2, 0], [0, 1], [1, 1]], [[0, 2], [2, 1], [1, 1], [1, 2]] ->= [[0, 2], [2, 0], [0, 1], [1, 2]], [[1, 2], [2, 1], [1, 1], [1, >]] ->= [[1, 2], [2, 0], [0, 1], [1, >]], [[1, 2], [2, 1], [1, 1], [1, 0]] ->= [[1, 2], [2, 0], [0, 1], [1, 0]], [[1, 2], [2, 1], [1, 1], [1, 1]] ->= [[1, 2], [2, 0], [0, 1], [1, 1]], [[1, 2], [2, 1], [1, 1], [1, 2]] ->= [[1, 2], [2, 0], [0, 1], [1, 2]], [[2, 2], [2, 1], [1, 1], [1, >]] ->= [[2, 2], [2, 0], [0, 1], [1, >]], [[2, 2], [2, 1], [1, 1], [1, 0]] ->= [[2, 2], [2, 0], [0, 1], [1, 0]], [[2, 2], [2, 1], [1, 1], [1, 1]] ->= [[2, 2], [2, 0], [0, 1], [1, 1]], [[2, 2], [2, 1], [1, 1], [1, 2]] ->= [[2, 2], [2, 0], [0, 1], [1, 2]], [[<, 0], [0, 0], [0, 2], [2, >]] ->= [[<, 2], [2, 1], [1, 0], [0, >]], [[<, 0], [0, 0], [0, 2], [2, 0]] ->= [[<, 2], [2, 1], [1, 0], [0, 0]], [[<, 0], [0, 0], [0, 2], [2, 1]] ->= [[<, 2], [2, 1], [1, 0], [0, 1]], [[<, 0], [0, 0], [0, 2], [2, 2]] ->= [[<, 2], [2, 1], [1, 0], [0, 2]], [[0, 0], [0, 0], [0, 2], [2, >]] ->= [[0, 2], [2, 1], [1, 0], [0, >]], [[0, 0], [0, 0], [0, 2], [2, 0]] ->= [[0, 2], [2, 1], [1, 0], [0, 0]], [[0, 0], [0, 0], [0, 2], [2, 1]] ->= [[0, 2], [2, 1], [1, 0], [0, 1]], [[0, 0], [0, 0], [0, 2], [2, 2]] ->= [[0, 2], [2, 1], [1, 0], [0, 2]], [[1, 0], [0, 0], [0, 2], [2, >]] ->= [[1, 2], [2, 1], [1, 0], [0, >]], [[1, 0], [0, 0], [0, 2], [2, 0]] ->= [[1, 2], [2, 1], [1, 0], [0, 0]], [[1, 0], [0, 0], [0, 2], [2, 1]] ->= [[1, 2], [2, 1], [1, 0], [0, 1]], [[1, 0], [0, 0], [0, 2], [2, 2]] ->= [[1, 2], [2, 1], [1, 0], [0, 2]], [[2, 0], [0, 0], [0, 2], [2, >]] ->= [[2, 2], [2, 1], [1, 0], [0, >]], [[2, 0], [0, 0], [0, 2], [2, 0]] ->= [[2, 2], [2, 1], [1, 0], [0, 0]], [[2, 0], [0, 0], [0, 2], [2, 1]] ->= [[2, 2], [2, 1], [1, 0], [0, 1]], [[2, 0], [0, 0], [0, 2], [2, 2]] ->= [[2, 2], [2, 1], [1, 0], [0, 2]]) 3.97/1.06 reason 3.97/1.06 remap for 112 rules 3.97/1.06 property Termination 3.97/1.06 has value True 3.97/1.06 for SRS ( [0, 1, 2, 3] -> [4, 5, 6, 7], [0, 1, 2, 8] -> [4, 5, 6, 5], [0, 1, 2, 2] -> [4, 5, 6, 9], [0, 1, 2, 10] -> [4, 5, 6, 11], [12, 1, 2, 3] -> [6, 5, 6, 7], [12, 1, 2, 8] -> [6, 5, 6, 5], [12, 1, 2, 2] -> [6, 5, 6, 9], [12, 1, 2, 10] -> [6, 5, 6, 11], [8, 1, 2, 3] -> [10, 5, 6, 7], [8, 1, 2, 8] -> [10, 5, 6, 5], [8, 1, 2, 2] -> [10, 5, 6, 9], [8, 1, 2, 10] -> [10, 5, 6, 11], [5, 1, 2, 3] -> [11, 5, 6, 7], [5, 1, 2, 8] -> [11, 5, 6, 5], [5, 1, 2, 2] -> [11, 5, 6, 9], [5, 1, 2, 10] -> [11, 5, 6, 11], [4, 5, 12, 13] -> [4, 11, 9, 3], [4, 5, 12, 12] -> [4, 11, 9, 8], [4, 5, 12, 1] -> [4, 11, 9, 2], [4, 5, 12, 6] -> [4, 11, 9, 10], [6, 5, 12, 13] -> [6, 11, 9, 3], [6, 5, 12, 12] -> [6, 11, 9, 8], [6, 5, 12, 1] -> [6, 11, 9, 2], [6, 5, 12, 6] -> [6, 11, 9, 10], [10, 5, 12, 13] -> [10, 11, 9, 3], [10, 5, 12, 12] -> [10, 11, 9, 8], [10, 5, 12, 1] -> [10, 11, 9, 2], [10, 5, 12, 6] -> [10, 11, 9, 10], [11, 5, 12, 13] -> [11, 11, 9, 3], [11, 5, 12, 12] -> [11, 11, 9, 8], [11, 5, 12, 1] -> [11, 11, 9, 2], [11, 5, 12, 6] -> [11, 11, 9, 10], [4, 11, 5, 13] -> [14, 2, 10, 7], [4, 11, 5, 12] -> [14, 2, 10, 5], [4, 11, 5, 1] -> [14, 2, 10, 9], [4, 11, 5, 6] -> [14, 2, 10, 11], [6, 11, 5, 13] -> [1, 2, 10, 7], [6, 11, 5, 12] -> [1, 2, 10, 5], [6, 11, 5, 1] -> [1, 2, 10, 9], [6, 11, 5, 6] -> [1, 2, 10, 11], [10, 11, 5, 13] -> [2, 2, 10, 7], [10, 11, 5, 12] -> [2, 2, 10, 5], [10, 11, 5, 1] -> [2, 2, 10, 9], [10, 11, 5, 6] -> [2, 2, 10, 11], [11, 11, 5, 13] -> [9, 2, 10, 7], [11, 11, 5, 12] -> [9, 2, 10, 5], [11, 11, 5, 1] -> [9, 2, 10, 9], [11, 11, 5, 6] -> [9, 2, 10, 11], [14, 8, 1, 3] ->= [4, 9, 2, 3], [14, 8, 1, 8] ->= [4, 9, 2, 8], [14, 8, 1, 2] ->= [4, 9, 2, 2], [14, 8, 1, 10] ->= [4, 9, 2, 10], [1, 8, 1, 3] ->= [6, 9, 2, 3], [1, 8, 1, 8] ->= [6, 9, 2, 8], [1, 8, 1, 2] ->= [6, 9, 2, 2], [1, 8, 1, 10] ->= [6, 9, 2, 10], [2, 8, 1, 3] ->= [10, 9, 2, 3], [2, 8, 1, 8] ->= [10, 9, 2, 8], [2, 8, 1, 2] ->= [10, 9, 2, 2], [2, 8, 1, 10] ->= [10, 9, 2, 10], [9, 8, 1, 3] ->= [11, 9, 2, 3], [9, 8, 1, 8] ->= [11, 9, 2, 8], [9, 8, 1, 2] ->= [11, 9, 2, 2], [9, 8, 1, 10] ->= [11, 9, 2, 10], [14, 8, 12, 13] ->= [0, 1, 2, 3], [14, 8, 12, 12] ->= [0, 1, 2, 8], [14, 8, 12, 1] ->= [0, 1, 2, 2], [14, 8, 12, 6] ->= [0, 1, 2, 10], [1, 8, 12, 13] ->= [12, 1, 2, 3], [1, 8, 12, 12] ->= [12, 1, 2, 8], [1, 8, 12, 1] ->= [12, 1, 2, 2], [1, 8, 12, 6] ->= [12, 1, 2, 10], [2, 8, 12, 13] ->= [8, 1, 2, 3], [2, 8, 12, 12] ->= [8, 1, 2, 8], [2, 8, 12, 1] ->= [8, 1, 2, 2], [2, 8, 12, 6] ->= [8, 1, 2, 10], [9, 8, 12, 13] ->= [5, 1, 2, 3], [9, 8, 12, 12] ->= [5, 1, 2, 8], [9, 8, 12, 1] ->= [5, 1, 2, 2], [9, 8, 12, 6] ->= [5, 1, 2, 10], [4, 9, 2, 3] ->= [4, 5, 1, 3], [4, 9, 2, 8] ->= [4, 5, 1, 8], [4, 9, 2, 2] ->= [4, 5, 1, 2], [4, 9, 2, 10] ->= [4, 5, 1, 10], [6, 9, 2, 3] ->= [6, 5, 1, 3], [6, 9, 2, 8] ->= [6, 5, 1, 8], [6, 9, 2, 2] ->= [6, 5, 1, 2], [6, 9, 2, 10] ->= [6, 5, 1, 10], [10, 9, 2, 3] ->= [10, 5, 1, 3], [10, 9, 2, 8] ->= [10, 5, 1, 8], [10, 9, 2, 2] ->= [10, 5, 1, 2], [10, 9, 2, 10] ->= [10, 5, 1, 10], [11, 9, 2, 3] ->= [11, 5, 1, 3], [11, 9, 2, 8] ->= [11, 5, 1, 8], [11, 9, 2, 2] ->= [11, 5, 1, 2], [11, 9, 2, 10] ->= [11, 5, 1, 10], [0, 12, 6, 7] ->= [4, 9, 8, 13], [0, 12, 6, 5] ->= [4, 9, 8, 12], [0, 12, 6, 9] ->= [4, 9, 8, 1], [0, 12, 6, 11] ->= [4, 9, 8, 6], [12, 12, 6, 7] ->= [6, 9, 8, 13], [12, 12, 6, 5] ->= [6, 9, 8, 12], [12, 12, 6, 9] ->= [6, 9, 8, 1], [12, 12, 6, 11] ->= [6, 9, 8, 6], [8, 12, 6, 7] ->= [10, 9, 8, 13], [8, 12, 6, 5] ->= [10, 9, 8, 12], [8, 12, 6, 9] ->= [10, 9, 8, 1], [8, 12, 6, 11] ->= [10, 9, 8, 6], [5, 12, 6, 7] ->= [11, 9, 8, 13], [5, 12, 6, 5] ->= [11, 9, 8, 12], [5, 12, 6, 9] ->= [11, 9, 8, 1], [5, 12, 6, 11] ->= [11, 9, 8, 6]) 3.97/1.06 reason 3.97/1.06 weights 3.97/1.06 Map [(0, 3/1), (3, 2/1), (12, 4/1), (13, 3/1)] 3.97/1.06 3.97/1.06 property Termination 3.97/1.06 has value True 3.97/1.06 for SRS ( [8, 1, 2, 8] -> [10, 5, 6, 5], [8, 1, 2, 2] -> [10, 5, 6, 9], [8, 1, 2, 10] -> [10, 5, 6, 11], [5, 1, 2, 8] -> [11, 5, 6, 5], [5, 1, 2, 2] -> [11, 5, 6, 9], [5, 1, 2, 10] -> [11, 5, 6, 11], [4, 11, 5, 1] -> [14, 2, 10, 9], [4, 11, 5, 6] -> [14, 2, 10, 11], [6, 11, 5, 1] -> [1, 2, 10, 9], [6, 11, 5, 6] -> [1, 2, 10, 11], [10, 11, 5, 1] -> [2, 2, 10, 9], [10, 11, 5, 6] -> [2, 2, 10, 11], [11, 11, 5, 1] -> [9, 2, 10, 9], [11, 11, 5, 6] -> [9, 2, 10, 11], [14, 8, 1, 3] ->= [4, 9, 2, 3], [14, 8, 1, 8] ->= [4, 9, 2, 8], [14, 8, 1, 2] ->= [4, 9, 2, 2], [14, 8, 1, 10] ->= [4, 9, 2, 10], [1, 8, 1, 3] ->= [6, 9, 2, 3], [1, 8, 1, 8] ->= [6, 9, 2, 8], [1, 8, 1, 2] ->= [6, 9, 2, 2], [1, 8, 1, 10] ->= [6, 9, 2, 10], [2, 8, 1, 3] ->= [10, 9, 2, 3], [2, 8, 1, 8] ->= [10, 9, 2, 8], [2, 8, 1, 2] ->= [10, 9, 2, 2], [2, 8, 1, 10] ->= [10, 9, 2, 10], [9, 8, 1, 3] ->= [11, 9, 2, 3], [9, 8, 1, 8] ->= [11, 9, 2, 8], [9, 8, 1, 2] ->= [11, 9, 2, 2], [9, 8, 1, 10] ->= [11, 9, 2, 10], [1, 8, 12, 1] ->= [12, 1, 2, 2], [1, 8, 12, 6] ->= [12, 1, 2, 10], [4, 9, 2, 3] ->= [4, 5, 1, 3], [4, 9, 2, 8] ->= [4, 5, 1, 8], [4, 9, 2, 2] ->= [4, 5, 1, 2], [4, 9, 2, 10] ->= [4, 5, 1, 10], [6, 9, 2, 3] ->= [6, 5, 1, 3], [6, 9, 2, 8] ->= [6, 5, 1, 8], [6, 9, 2, 2] ->= [6, 5, 1, 2], [6, 9, 2, 10] ->= [6, 5, 1, 10], [10, 9, 2, 3] ->= [10, 5, 1, 3], [10, 9, 2, 8] ->= [10, 5, 1, 8], [10, 9, 2, 2] ->= [10, 5, 1, 2], [10, 9, 2, 10] ->= [10, 5, 1, 10], [11, 9, 2, 3] ->= [11, 5, 1, 3], [11, 9, 2, 8] ->= [11, 5, 1, 8], [11, 9, 2, 2] ->= [11, 5, 1, 2], [11, 9, 2, 10] ->= [11, 5, 1, 10], [8, 12, 6, 5] ->= [10, 9, 8, 12], [5, 12, 6, 5] ->= [11, 9, 8, 12]) 3.97/1.06 reason 3.97/1.06 Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 3.97/1.06 using 50 tiles 3.97/1.06 [ [2, >] , [3, >] , [5, >] , [8, >] , [9, >] , [10, >] , [11, >] , [12, >] , [<, 1] , [5, 1] , [12, 1] , [<, 2] , [1, 2] , [2, 2] , [9, 2] , [14, 2] , [1, 3] , [2, 3] , [9, 3] , [<, 4] , [4, 5] , [6, 5] , [10, 5] , [11, 5] , [<, 6] , [5, 6] , [12, 6] , [1, 8] , [2, 8] , [9, 8] , [<, 9] , [4, 9] , [6, 9] , [10, 9] , [11, 9] , [<, 10] , [1, 10] , [2, 10] , [9, 10] , [14, 10] , [<, 11] , [4, 11] , [6, 11] , [10, 11] , [11, 11] , [<, 12] , [5, 12] , [8, 12] , [12, 12] , [<, 14] ] 3.97/1.06 remove some unmatched rules 3.97/1.06 3.97/1.06 property Termination 3.97/1.06 has value True 3.97/1.07 for SRS ( [[5], [1], [2], [8]] -> [[11], [5], [6], [5]], [[5], [1], [2], [2]] -> [[11], [5], [6], [9]], [[5], [1], [2], [10]] -> [[11], [5], [6], [11]], [[4], [11], [5], [1]] -> [[14], [2], [10], [9]], [[4], [11], [5], [6]] -> [[14], [2], [10], [11]], [[6], [11], [5], [1]] -> [[1], [2], [10], [9]], [[6], [11], [5], [6]] -> [[1], [2], [10], [11]], [[10], [11], [5], [1]] -> [[2], [2], [10], [9]], [[10], [11], [5], [6]] -> [[2], [2], [10], [11]], [[11], [11], [5], [1]] -> [[9], [2], [10], [9]], [[11], [11], [5], [6]] -> [[9], [2], [10], [11]], [[1], [8], [12], [1]] ->= [[12], [1], [2], [2]], [[1], [8], [12], [6]] ->= [[12], [1], [2], [10]], [[4], [9], [2], [3]] ->= [[4], [5], [1], [3]], [[4], [9], [2], [8]] ->= [[4], [5], [1], [8]], [[4], [9], [2], [2]] ->= [[4], [5], [1], [2]], [[4], [9], [2], [10]] ->= [[4], [5], [1], [10]], [[6], [9], [2], [3]] ->= [[6], [5], [1], [3]], [[6], [9], [2], [8]] ->= [[6], [5], [1], [8]], [[6], [9], [2], [2]] ->= [[6], [5], [1], [2]], [[6], [9], [2], [10]] ->= [[6], [5], [1], [10]], [[10], [9], [2], [3]] ->= [[10], [5], [1], [3]], [[10], [9], [2], [8]] ->= [[10], [5], [1], [8]], [[10], [9], [2], [2]] ->= [[10], [5], [1], [2]], [[10], [9], [2], [10]] ->= [[10], [5], [1], [10]], [[11], [9], [2], [3]] ->= [[11], [5], [1], [3]], [[11], [9], [2], [8]] ->= [[11], [5], [1], [8]], [[11], [9], [2], [2]] ->= [[11], [5], [1], [2]], [[11], [9], [2], [10]] ->= [[11], [5], [1], [10]], [[8], [12], [6], [5]] ->= [[10], [9], [8], [12]], [[5], [12], [6], [5]] ->= [[11], [9], [8], [12]]) 3.97/1.07 reason 3.97/1.07 remap for 31 rules 3.97/1.07 property Termination 3.97/1.07 has value True 3.97/1.07 for SRS ( [0, 1, 2, 3] -> [4, 0, 5, 0], [0, 1, 2, 2] -> [4, 0, 5, 6], [0, 1, 2, 7] -> [4, 0, 5, 4], [8, 4, 0, 1] -> [9, 2, 7, 6], [8, 4, 0, 5] -> [9, 2, 7, 4], [5, 4, 0, 1] -> [1, 2, 7, 6], [5, 4, 0, 5] -> [1, 2, 7, 4], [7, 4, 0, 1] -> [2, 2, 7, 6], [7, 4, 0, 5] -> [2, 2, 7, 4], [4, 4, 0, 1] -> [6, 2, 7, 6], [4, 4, 0, 5] -> [6, 2, 7, 4], [1, 3, 10, 1] ->= [10, 1, 2, 2], [1, 3, 10, 5] ->= [10, 1, 2, 7], [8, 6, 2, 11] ->= [8, 0, 1, 11], [8, 6, 2, 3] ->= [8, 0, 1, 3], [8, 6, 2, 2] ->= [8, 0, 1, 2], [8, 6, 2, 7] ->= [8, 0, 1, 7], [5, 6, 2, 11] ->= [5, 0, 1, 11], [5, 6, 2, 3] ->= [5, 0, 1, 3], [5, 6, 2, 2] ->= [5, 0, 1, 2], [5, 6, 2, 7] ->= [5, 0, 1, 7], [7, 6, 2, 11] ->= [7, 0, 1, 11], [7, 6, 2, 3] ->= [7, 0, 1, 3], [7, 6, 2, 2] ->= [7, 0, 1, 2], [7, 6, 2, 7] ->= [7, 0, 1, 7], [4, 6, 2, 11] ->= [4, 0, 1, 11], [4, 6, 2, 3] ->= [4, 0, 1, 3], [4, 6, 2, 2] ->= [4, 0, 1, 2], [4, 6, 2, 7] ->= [4, 0, 1, 7], [3, 10, 5, 0] ->= [7, 6, 3, 10], [0, 10, 5, 0] ->= [4, 6, 3, 10]) 3.97/1.07 reason 3.97/1.07 weights 3.97/1.07 Map [(8, 2/1)] 3.97/1.07 3.97/1.07 property Termination 3.97/1.07 has value True 3.97/1.07 for SRS ( [0, 1, 2, 3] -> [4, 0, 5, 0], [0, 1, 2, 2] -> [4, 0, 5, 6], [0, 1, 2, 7] -> [4, 0, 5, 4], [5, 4, 0, 1] -> [1, 2, 7, 6], [5, 4, 0, 5] -> [1, 2, 7, 4], [7, 4, 0, 1] -> [2, 2, 7, 6], [7, 4, 0, 5] -> [2, 2, 7, 4], [4, 4, 0, 1] -> [6, 2, 7, 6], [4, 4, 0, 5] -> [6, 2, 7, 4], [1, 3, 10, 1] ->= [10, 1, 2, 2], [1, 3, 10, 5] ->= [10, 1, 2, 7], [8, 6, 2, 11] ->= [8, 0, 1, 11], [8, 6, 2, 3] ->= [8, 0, 1, 3], [8, 6, 2, 2] ->= [8, 0, 1, 2], [8, 6, 2, 7] ->= [8, 0, 1, 7], [5, 6, 2, 11] ->= [5, 0, 1, 11], [5, 6, 2, 3] ->= [5, 0, 1, 3], [5, 6, 2, 2] ->= [5, 0, 1, 2], [5, 6, 2, 7] ->= [5, 0, 1, 7], [7, 6, 2, 11] ->= [7, 0, 1, 11], [7, 6, 2, 3] ->= [7, 0, 1, 3], [7, 6, 2, 2] ->= [7, 0, 1, 2], [7, 6, 2, 7] ->= [7, 0, 1, 7], [4, 6, 2, 11] ->= [4, 0, 1, 11], [4, 6, 2, 3] ->= [4, 0, 1, 3], [4, 6, 2, 2] ->= [4, 0, 1, 2], [4, 6, 2, 7] ->= [4, 0, 1, 7], [3, 10, 5, 0] ->= [7, 6, 3, 10], [0, 10, 5, 0] ->= [4, 6, 3, 10]) 3.97/1.07 reason 3.97/1.07 Tiling { method = Overlap, width = 3, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 3.97/1.07 using 120 tiles 3.97/1.07 [ [1, 2, >] , [1, 3, >] , [1, 7, >] , [1, 11, >] , [2, 2, >] , [2, 3, >] , [2, 7, >] , [2, 11, >] , [3, 10, >] , [4, 0, >] , [4, 4, >] , [4, 6, >] , [5, 0, >] , [5, 4, >] , [5, 6, >] , [6, 2, >] , [6, 3, >] , [6, 7, >] , [6, 11, >] , [7, 0, >] , [7, 4, >] , [7, 6, >] , [<, 4, 0] , [<, 5, 0] , [<, 7, 0] , [<, 8, 0] , [0, 5, 0] , [1, 7, 0] , [2, 7, 0] , [4, 4, 0] , [5, 4, 0] , [6, 7, 0] , [7, 4, 0] , [8, 4, 0] , [<, <, 1] , [<, 10, 1] , [0, 10, 1] , [3, 10, 1] , [4, 0, 1] , [5, 0, 1] , [7, 0, 1] , [8, 0, 1] , [10, 10, 1] , [<, <, 2] , [<, 1, 2] , [<, 2, 2] , [<, 6, 2] , [0, 1, 2] , [1, 2, 2] , [2, 2, 2] , [4, 6, 2] , [5, 6, 2] , [6, 2, 2] , [7, 6, 2] , [8, 6, 2] , [10, 1, 2] , [0, 1, 3] , [1, 2, 3] , [2, 2, 3] , [4, 6, 3] , [5, 6, 3] , [6, 2, 3] , [7, 6, 3] , [10, 1, 3] , [<, <, 4] , [<, 4, 4] , [<, 5, 4] , [<, 7, 4] , [<, 8, 4] , [0, 5, 4] , [1, 7, 4] , [2, 7, 4] , [4, 4, 4] , [5, 4, 4] , [6, 7, 4] , [7, 4, 4] , [8, 4, 4] , [<, <, 5] , [4, 0, 5] , [<, <, 6] , [<, 4, 6] , [<, 5, 6] , [<, 7, 6] , [<, 8, 6] , [0, 5, 6] , [1, 7, 6] , [2, 7, 6] , [4, 4, 6] , [5, 4, 6] , [6, 7, 6] , [7, 4, 6] , [8, 4, 6] , [<, <, 7] , [0, 1, 7] , [1, 2, 7] , [2, 2, 7] , [4, 6, 7] , [5, 6, 7] , [6, 2, 7] , [7, 6, 7] , [10, 1, 7] , [<, <, 8] , [<, <, 10] , [<, 10, 10] , [0, 10, 10] , [3, 10, 10] , [4, 0, 10] , [5, 0, 10] , [6, 3, 10] , [7, 0, 10] , [8, 0, 10] , [10, 10, 10] , [0, 1, 11] , [1, 2, 11] , [2, 2, 11] , [4, 6, 11] , [5, 6, 11] , [6, 2, 11] , [7, 6, 11] , [10, 1, 11] ] 3.97/1.07 remove some unmatched rules 3.97/1.07 3.97/1.07 property Termination 3.97/1.07 has value True 3.97/1.07 for SRS ( [[0], [1], [2], [3]] -> [[4], [0], [5], [0]], [[0], [1], [2], [2]] -> [[4], [0], [5], [6]], [[0], [1], [2], [7]] -> [[4], [0], [5], [4]], [[5], [4], [0], [1]] -> [[1], [2], [7], [6]], [[5], [4], [0], [5]] -> [[1], [2], [7], [4]], [[7], [4], [0], [1]] -> [[2], [2], [7], [6]], [[7], [4], [0], [5]] -> [[2], [2], [7], [4]], [[4], [4], [0], [1]] -> [[6], [2], [7], [6]], [[4], [4], [0], [5]] -> [[6], [2], [7], [4]], [[8], [6], [2], [11]] ->= [[8], [0], [1], [11]], [[8], [6], [2], [3]] ->= [[8], [0], [1], [3]], [[8], [6], [2], [2]] ->= [[8], [0], [1], [2]], [[8], [6], [2], [7]] ->= [[8], [0], [1], [7]], [[5], [6], [2], [11]] ->= [[5], [0], [1], [11]], [[5], [6], [2], [3]] ->= [[5], [0], [1], [3]], [[5], [6], [2], [2]] ->= [[5], [0], [1], [2]], [[5], [6], [2], [7]] ->= [[5], [0], [1], [7]], [[7], [6], [2], [11]] ->= [[7], [0], [1], [11]], [[7], [6], [2], [3]] ->= [[7], [0], [1], [3]], [[7], [6], [2], [2]] ->= [[7], [0], [1], [2]], [[7], [6], [2], [7]] ->= [[7], [0], [1], [7]], [[4], [6], [2], [11]] ->= [[4], [0], [1], [11]], [[4], [6], [2], [3]] ->= [[4], [0], [1], [3]], [[4], [6], [2], [2]] ->= [[4], [0], [1], [2]], [[4], [6], [2], [7]] ->= [[4], [0], [1], [7]]) 3.97/1.07 reason 3.97/1.07 remap for 25 rules 3.97/1.07 property Termination 3.97/1.07 has value True 3.97/1.07 for SRS ( [0, 1, 2, 3] -> [4, 0, 5, 0], [0, 1, 2, 2] -> [4, 0, 5, 6], [0, 1, 2, 7] -> [4, 0, 5, 4], [5, 4, 0, 1] -> [1, 2, 7, 6], [5, 4, 0, 5] -> [1, 2, 7, 4], [7, 4, 0, 1] -> [2, 2, 7, 6], [7, 4, 0, 5] -> [2, 2, 7, 4], [4, 4, 0, 1] -> [6, 2, 7, 6], [4, 4, 0, 5] -> [6, 2, 7, 4], [8, 6, 2, 9] ->= [8, 0, 1, 9], [8, 6, 2, 3] ->= [8, 0, 1, 3], [8, 6, 2, 2] ->= [8, 0, 1, 2], [8, 6, 2, 7] ->= [8, 0, 1, 7], [5, 6, 2, 9] ->= [5, 0, 1, 9], [5, 6, 2, 3] ->= [5, 0, 1, 3], [5, 6, 2, 2] ->= [5, 0, 1, 2], [5, 6, 2, 7] ->= [5, 0, 1, 7], [7, 6, 2, 9] ->= [7, 0, 1, 9], [7, 6, 2, 3] ->= [7, 0, 1, 3], [7, 6, 2, 2] ->= [7, 0, 1, 2], [7, 6, 2, 7] ->= [7, 0, 1, 7], [4, 6, 2, 9] ->= [4, 0, 1, 9], [4, 6, 2, 3] ->= [4, 0, 1, 3], [4, 6, 2, 2] ->= [4, 0, 1, 2], [4, 6, 2, 7] ->= [4, 0, 1, 7]) 3.97/1.07 reason 3.97/1.07 weights 3.97/1.07 Map [(3, 1/1)] 3.97/1.07 3.97/1.07 property Termination 3.97/1.07 has value True 3.97/1.07 for SRS ( [0, 1, 2, 2] -> [4, 0, 5, 6], [0, 1, 2, 7] -> [4, 0, 5, 4], [5, 4, 0, 1] -> [1, 2, 7, 6], [5, 4, 0, 5] -> [1, 2, 7, 4], [7, 4, 0, 1] -> [2, 2, 7, 6], [7, 4, 0, 5] -> [2, 2, 7, 4], [4, 4, 0, 1] -> [6, 2, 7, 6], [4, 4, 0, 5] -> [6, 2, 7, 4], [8, 6, 2, 9] ->= [8, 0, 1, 9], [8, 6, 2, 3] ->= [8, 0, 1, 3], [8, 6, 2, 2] ->= [8, 0, 1, 2], [8, 6, 2, 7] ->= [8, 0, 1, 7], [5, 6, 2, 9] ->= [5, 0, 1, 9], [5, 6, 2, 3] ->= [5, 0, 1, 3], [5, 6, 2, 2] ->= [5, 0, 1, 2], [5, 6, 2, 7] ->= [5, 0, 1, 7], [7, 6, 2, 9] ->= [7, 0, 1, 9], [7, 6, 2, 3] ->= [7, 0, 1, 3], [7, 6, 2, 2] ->= [7, 0, 1, 2], [7, 6, 2, 7] ->= [7, 0, 1, 7], [4, 6, 2, 9] ->= [4, 0, 1, 9], [4, 6, 2, 3] ->= [4, 0, 1, 3], [4, 6, 2, 2] ->= [4, 0, 1, 2], [4, 6, 2, 7] ->= [4, 0, 1, 7]) 3.97/1.07 reason 3.97/1.07 Tiling { method = Overlap, width = 3, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 3.97/1.07 using 86 tiles 3.97/1.07 [ [1, 2, >] , [1, 3, >] , [1, 7, >] , [1, 9, >] , [4, 4, >] , [4, 6, >] , [5, 4, >] , [5, 6, >] , [6, 2, >] , [6, 3, >] , [6, 7, >] , [6, 9, >] , [7, 4, >] , [7, 6, >] , [<, 4, 0] , [<, 5, 0] , [<, 7, 0] , [<, 8, 0] , [0, 5, 0] , [1, 7, 0] , [2, 7, 0] , [4, 4, 0] , [5, 4, 0] , [6, 7, 0] , [7, 4, 0] , [8, 4, 0] , [<, <, 1] , [4, 0, 1] , [5, 0, 1] , [7, 0, 1] , [8, 0, 1] , [<, <, 2] , [<, 1, 2] , [<, 2, 2] , [<, 6, 2] , [0, 1, 2] , [1, 2, 2] , [2, 2, 2] , [4, 6, 2] , [5, 6, 2] , [6, 2, 2] , [7, 6, 2] , [8, 6, 2] , [0, 1, 3] , [4, 6, 3] , [7, 6, 3] , [<, <, 4] , [<, 4, 4] , [<, 5, 4] , [<, 7, 4] , [<, 8, 4] , [0, 5, 4] , [1, 7, 4] , [2, 7, 4] , [4, 4, 4] , [5, 4, 4] , [6, 7, 4] , [7, 4, 4] , [8, 4, 4] , [<, <, 5] , [4, 0, 5] , [<, <, 6] , [<, 4, 6] , [<, 5, 6] , [<, 7, 6] , [<, 8, 6] , [0, 5, 6] , [1, 7, 6] , [2, 7, 6] , [4, 4, 6] , [5, 4, 6] , [6, 7, 6] , [7, 4, 6] , [8, 4, 6] , [<, <, 7] , [0, 1, 7] , [1, 2, 7] , [2, 2, 7] , [4, 6, 7] , [5, 6, 7] , [6, 2, 7] , [7, 6, 7] , [<, <, 8] , [0, 1, 9] , [4, 6, 9] , [7, 6, 9] ] 3.97/1.07 remove some unmatched rules 3.97/1.07 3.97/1.07 property Termination 3.97/1.07 has value True 3.97/1.07 for SRS ( [[0], [1], [2], [2]] -> [[4], [0], [5], [6]], [[0], [1], [2], [7]] -> [[4], [0], [5], [4]], [[5], [4], [0], [1]] -> [[1], [2], [7], [6]], [[5], [4], [0], [5]] -> [[1], [2], [7], [4]], [[7], [4], [0], [1]] -> [[2], [2], [7], [6]], [[7], [4], [0], [5]] -> [[2], [2], [7], [4]], [[4], [4], [0], [1]] -> [[6], [2], [7], [6]], [[4], [4], [0], [5]] -> [[6], [2], [7], [4]], [[8], [6], [2], [2]] ->= [[8], [0], [1], [2]], [[8], [6], [2], [7]] ->= [[8], [0], [1], [7]], [[5], [6], [2], [2]] ->= [[5], [0], [1], [2]], [[5], [6], [2], [7]] ->= [[5], [0], [1], [7]], [[7], [6], [2], [2]] ->= [[7], [0], [1], [2]], [[7], [6], [2], [7]] ->= [[7], [0], [1], [7]], [[4], [6], [2], [2]] ->= [[4], [0], [1], [2]], [[4], [6], [2], [7]] ->= [[4], [0], [1], [7]]) 3.97/1.07 reason 3.97/1.07 remap for 16 rules 3.97/1.07 property Termination 3.97/1.07 has value True 3.97/1.07 for SRS ( [0, 1, 2, 2] -> [3, 0, 4, 5], [0, 1, 2, 6] -> [3, 0, 4, 3], [4, 3, 0, 1] -> [1, 2, 6, 5], [4, 3, 0, 4] -> [1, 2, 6, 3], [6, 3, 0, 1] -> [2, 2, 6, 5], [6, 3, 0, 4] -> [2, 2, 6, 3], [3, 3, 0, 1] -> [5, 2, 6, 5], [3, 3, 0, 4] -> [5, 2, 6, 3], [7, 5, 2, 2] ->= [7, 0, 1, 2], [7, 5, 2, 6] ->= [7, 0, 1, 6], [4, 5, 2, 2] ->= [4, 0, 1, 2], [4, 5, 2, 6] ->= [4, 0, 1, 6], [6, 5, 2, 2] ->= [6, 0, 1, 2], [6, 5, 2, 6] ->= [6, 0, 1, 6], [3, 5, 2, 2] ->= [3, 0, 1, 2], [3, 5, 2, 6] ->= [3, 0, 1, 6]) 3.97/1.07 reason 3.97/1.07 Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} 3.97/1.07 interpretation 3.97/1.07 0 / 2 1 \ 3.97/1.07 \ 0 1 / 3.97/1.07 1 / 2 0 \ 3.97/1.07 \ 0 1 / 3.97/1.07 2 / 2 1 \ 3.97/1.07 \ 0 1 / 3.97/1.07 3 / 2 0 \ 3.97/1.07 \ 0 1 / 3.97/1.07 4 / 2 0 \ 3.97/1.07 \ 0 1 / 3.97/1.07 5 / 2 0 \ 3.97/1.07 \ 0 1 / 3.97/1.07 6 / 2 0 \ 3.97/1.07 \ 0 1 / 3.97/1.07 7 / 2 0 \ 3.97/1.07 \ 0 1 / 3.97/1.07 [0, 1, 2, 2] -> [3, 0, 4, 5] 3.97/1.07 lhs rhs ge gt 3.97/1.07 / 16 13 \ / 16 2 \ True True 3.97/1.07 \ 0 1 / \ 0 1 / 3.97/1.07 [0, 1, 2, 6] -> [3, 0, 4, 3] 3.97/1.07 lhs rhs ge gt 3.97/1.07 / 16 5 \ / 16 2 \ True True 3.97/1.07 \ 0 1 / \ 0 1 / 3.97/1.07 [4, 3, 0, 1] -> [1, 2, 6, 5] 3.97/1.07 lhs rhs ge gt 3.97/1.07 / 16 4 \ / 16 2 \ True True 3.97/1.07 \ 0 1 / \ 0 1 / 3.97/1.07 [4, 3, 0, 4] -> [1, 2, 6, 3] 3.97/1.07 lhs rhs ge gt 3.97/1.07 / 16 4 \ / 16 2 \ True True 3.97/1.07 \ 0 1 / \ 0 1 / 3.97/1.07 [6, 3, 0, 1] -> [2, 2, 6, 5] 3.97/1.07 lhs rhs ge gt 3.97/1.07 / 16 4 \ / 16 3 \ True True 3.97/1.07 \ 0 1 / \ 0 1 / 3.97/1.07 [6, 3, 0, 4] -> [2, 2, 6, 3] 3.97/1.07 lhs rhs ge gt 3.97/1.07 / 16 4 \ / 16 3 \ True True 3.97/1.07 \ 0 1 / \ 0 1 / 3.97/1.07 [3, 3, 0, 1] -> [5, 2, 6, 5] 3.97/1.07 lhs rhs ge gt 3.97/1.07 / 16 4 \ / 16 2 \ True True 3.97/1.07 \ 0 1 / \ 0 1 / 3.97/1.07 [3, 3, 0, 4] -> [5, 2, 6, 3] 3.97/1.07 lhs rhs ge gt 3.97/1.07 / 16 4 \ / 16 2 \ True True 3.97/1.07 \ 0 1 / \ 0 1 / 3.97/1.07 [7, 5, 2, 2] ->= [7, 0, 1, 2] 3.97/1.07 lhs rhs ge gt 3.97/1.07 / 16 12 \ / 16 10 \ True True 3.97/1.07 \ 0 1 / \ 0 1 / 3.97/1.07 [7, 5, 2, 6] ->= [7, 0, 1, 6] 3.97/1.07 lhs rhs ge gt 3.97/1.07 / 16 4 \ / 16 2 \ True True 3.97/1.07 \ 0 1 / \ 0 1 / 3.97/1.07 [4, 5, 2, 2] ->= [4, 0, 1, 2] 3.97/1.07 lhs rhs ge gt 3.97/1.07 / 16 12 \ / 16 10 \ True True 3.97/1.07 \ 0 1 / \ 0 1 / 3.97/1.07 [4, 5, 2, 6] ->= [4, 0, 1, 6] 3.97/1.07 lhs rhs ge gt 3.97/1.07 / 16 4 \ / 16 2 \ True True 3.97/1.07 \ 0 1 / \ 0 1 / 3.97/1.07 [6, 5, 2, 2] ->= [6, 0, 1, 2] 4.20/1.07 lhs rhs ge gt 4.20/1.07 / 16 12 \ / 16 10 \ True True 4.20/1.07 \ 0 1 / \ 0 1 / 4.20/1.07 [6, 5, 2, 6] ->= [6, 0, 1, 6] 4.20/1.07 lhs rhs ge gt 4.20/1.07 / 16 4 \ / 16 2 \ True True 4.20/1.07 \ 0 1 / \ 0 1 / 4.20/1.08 [3, 5, 2, 2] ->= [3, 0, 1, 2] 4.20/1.08 lhs rhs ge gt 4.20/1.08 / 16 12 \ / 16 10 \ True True 4.20/1.08 \ 0 1 / \ 0 1 / 4.20/1.08 [3, 5, 2, 6] ->= [3, 0, 1, 6] 4.20/1.08 lhs rhs ge gt 4.20/1.08 / 16 4 \ / 16 2 \ True True 4.20/1.08 \ 0 1 / \ 0 1 / 4.20/1.08 property Termination 4.20/1.08 has value True 4.20/1.08 for SRS ( ) 4.20/1.08 reason 4.20/1.08 has no strict rules 4.20/1.08 4.20/1.08 ************************************************** 4.20/1.08 summary 4.20/1.08 ************************************************** 4.20/1.08 SRS with 7 rules on 3 letters Remap { tracing = False} 4.20/1.08 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} 4.20/1.08 SRS with 112 rules on 15 letters Remap { tracing = False} 4.20/1.08 SRS with 112 rules on 15 letters weights 4.20/1.08 SRS with 50 rules on 12 letters remove some, by Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 4.20/1.08 SRS with 31 rules on 12 letters Remap { tracing = False} 4.20/1.08 SRS with 31 rules on 12 letters weights 4.20/1.08 SRS with 29 rules on 11 letters remove some, by Tiling { method = Overlap, width = 3, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 4.20/1.08 SRS with 25 rules on 10 letters Remap { tracing = False} 4.20/1.08 SRS with 25 rules on 10 letters weights 4.20/1.08 SRS with 24 rules on 10 letters remove some, by Tiling { method = Overlap, width = 3, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 4.20/1.08 SRS with 16 rules on 8 letters Remap { tracing = False} 4.20/1.08 SRS with 16 rules on 8 letters Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} 4.20/1.08 SRS with 0 rules on 0 letters has no strict rules 4.20/1.08 4.20/1.08 ************************************************** 4.20/1.08 (7, 3)\TileAllROC{2}(112, 15)\Weight(50, 12)\TileRemoveROC{2}(31, 12)\Weight(29, 11)\TileRemoveROC{3}(25, 10)\Weight(24, 10)\TileRemoveROC{3}(16, 8)\Matrix{\Natural}{2}(0, 0)[] 4.20/1.08 ************************************************** 4.20/1.08 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))))))} 4.20/1.08 in Apply (Worker Remap) method 4.20/1.10 EOF