7.44/1.94 YES 7.44/1.94 property Termination 7.44/1.94 has value True 7.44/1.94 for SRS ( [c, c, b] -> [b, b, b], [c, a, c] -> [b, a, a], [c, c, c] -> [a, a, b], [c, b, c] -> [c, b, b], [c, a, c] -> [b, b, c], [c, b, c] -> [c, c, b], [a, b, b] ->= [b, a, c]) 7.44/1.94 reason 7.44/1.94 remap for 7 rules 7.44/1.94 property Termination 7.44/1.94 has value True 7.44/1.94 for SRS ( [0, 0, 1] -> [1, 1, 1], [0, 2, 0] -> [1, 2, 2], [0, 0, 0] -> [2, 2, 1], [0, 1, 0] -> [0, 1, 1], [0, 2, 0] -> [1, 1, 0], [0, 1, 0] -> [0, 0, 1], [2, 1, 1] ->= [1, 2, 0]) 7.44/1.94 reason 7.44/1.94 Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 7.44/1.94 using 15 tiles 7.44/1.94 [ [0, >] , [1, >] , [2, >] , [<, 0] , [0, 0] , [1, 0] , [2, 0] , [<, 1] , [0, 1] , [1, 1] , [2, 1] , [<, 2] , [0, 2] , [1, 2] , [2, 2] ] 7.44/1.94 tile all rules 7.44/1.94 7.44/1.94 property Termination 7.44/1.94 has value True 7.44/1.96 for SRS ( [[<, 0], [0, 0], [0, 1], [1, >]] -> [[<, 1], [1, 1], [1, 1], [1, >]], [[<, 0], [0, 0], [0, 1], [1, 0]] -> [[<, 1], [1, 1], [1, 1], [1, 0]], [[<, 0], [0, 0], [0, 1], [1, 1]] -> [[<, 1], [1, 1], [1, 1], [1, 1]], [[<, 0], [0, 0], [0, 1], [1, 2]] -> [[<, 1], [1, 1], [1, 1], [1, 2]], [[0, 0], [0, 0], [0, 1], [1, >]] -> [[0, 1], [1, 1], [1, 1], [1, >]], [[0, 0], [0, 0], [0, 1], [1, 0]] -> [[0, 1], [1, 1], [1, 1], [1, 0]], [[0, 0], [0, 0], [0, 1], [1, 1]] -> [[0, 1], [1, 1], [1, 1], [1, 1]], [[0, 0], [0, 0], [0, 1], [1, 2]] -> [[0, 1], [1, 1], [1, 1], [1, 2]], [[1, 0], [0, 0], [0, 1], [1, >]] -> [[1, 1], [1, 1], [1, 1], [1, >]], [[1, 0], [0, 0], [0, 1], [1, 0]] -> [[1, 1], [1, 1], [1, 1], [1, 0]], [[1, 0], [0, 0], [0, 1], [1, 1]] -> [[1, 1], [1, 1], [1, 1], [1, 1]], [[1, 0], [0, 0], [0, 1], [1, 2]] -> [[1, 1], [1, 1], [1, 1], [1, 2]], [[2, 0], [0, 0], [0, 1], [1, >]] -> [[2, 1], [1, 1], [1, 1], [1, >]], [[2, 0], [0, 0], [0, 1], [1, 0]] -> [[2, 1], [1, 1], [1, 1], [1, 0]], [[2, 0], [0, 0], [0, 1], [1, 1]] -> [[2, 1], [1, 1], [1, 1], [1, 1]], [[2, 0], [0, 0], [0, 1], [1, 2]] -> [[2, 1], [1, 1], [1, 1], [1, 2]], [[<, 0], [0, 2], [2, 0], [0, >]] -> [[<, 1], [1, 2], [2, 2], [2, >]], [[<, 0], [0, 2], [2, 0], [0, 0]] -> [[<, 1], [1, 2], [2, 2], [2, 0]], [[<, 0], [0, 2], [2, 0], [0, 1]] -> [[<, 1], [1, 2], [2, 2], [2, 1]], [[<, 0], [0, 2], [2, 0], [0, 2]] -> [[<, 1], [1, 2], [2, 2], [2, 2]], [[0, 0], [0, 2], [2, 0], [0, >]] -> [[0, 1], [1, 2], [2, 2], [2, >]], [[0, 0], [0, 2], [2, 0], [0, 0]] -> [[0, 1], [1, 2], [2, 2], [2, 0]], [[0, 0], [0, 2], [2, 0], [0, 1]] -> [[0, 1], [1, 2], [2, 2], [2, 1]], [[0, 0], [0, 2], [2, 0], [0, 2]] -> [[0, 1], [1, 2], [2, 2], [2, 2]], [[1, 0], [0, 2], [2, 0], [0, >]] -> [[1, 1], [1, 2], [2, 2], [2, >]], [[1, 0], [0, 2], [2, 0], [0, 0]] -> [[1, 1], [1, 2], [2, 2], [2, 0]], [[1, 0], [0, 2], [2, 0], [0, 1]] -> [[1, 1], [1, 2], [2, 2], [2, 1]], [[1, 0], [0, 2], [2, 0], [0, 2]] -> [[1, 1], [1, 2], [2, 2], [2, 2]], [[2, 0], [0, 2], [2, 0], [0, >]] -> [[2, 1], [1, 2], [2, 2], [2, >]], [[2, 0], [0, 2], [2, 0], [0, 0]] -> [[2, 1], [1, 2], [2, 2], [2, 0]], [[2, 0], [0, 2], [2, 0], [0, 1]] -> [[2, 1], [1, 2], [2, 2], [2, 1]], [[2, 0], [0, 2], [2, 0], [0, 2]] -> [[2, 1], [1, 2], [2, 2], [2, 2]], [[<, 0], [0, 0], [0, 0], [0, >]] -> [[<, 2], [2, 2], [2, 1], [1, >]], [[<, 0], [0, 0], [0, 0], [0, 0]] -> [[<, 2], [2, 2], [2, 1], [1, 0]], [[<, 0], [0, 0], [0, 0], [0, 1]] -> [[<, 2], [2, 2], [2, 1], [1, 1]], [[<, 0], [0, 0], [0, 0], [0, 2]] -> [[<, 2], [2, 2], [2, 1], [1, 2]], [[0, 0], [0, 0], [0, 0], [0, >]] -> [[0, 2], [2, 2], [2, 1], [1, >]], [[0, 0], [0, 0], [0, 0], [0, 0]] -> [[0, 2], [2, 2], [2, 1], [1, 0]], [[0, 0], [0, 0], [0, 0], [0, 1]] -> [[0, 2], [2, 2], [2, 1], [1, 1]], [[0, 0], [0, 0], [0, 0], [0, 2]] -> [[0, 2], [2, 2], [2, 1], [1, 2]], [[1, 0], [0, 0], [0, 0], [0, >]] -> [[1, 2], [2, 2], [2, 1], [1, >]], [[1, 0], [0, 0], [0, 0], [0, 0]] -> [[1, 2], [2, 2], [2, 1], [1, 0]], [[1, 0], [0, 0], [0, 0], [0, 1]] -> [[1, 2], [2, 2], [2, 1], [1, 1]], [[1, 0], [0, 0], [0, 0], [0, 2]] -> [[1, 2], [2, 2], [2, 1], [1, 2]], [[2, 0], [0, 0], [0, 0], [0, >]] -> [[2, 2], [2, 2], [2, 1], [1, >]], [[2, 0], [0, 0], [0, 0], [0, 0]] -> [[2, 2], [2, 2], [2, 1], [1, 0]], [[2, 0], [0, 0], [0, 0], [0, 1]] -> [[2, 2], [2, 2], [2, 1], [1, 1]], [[2, 0], [0, 0], [0, 0], [0, 2]] -> [[2, 2], [2, 2], [2, 1], [1, 2]], [[<, 0], [0, 1], [1, 0], [0, >]] -> [[<, 0], [0, 1], [1, 1], [1, >]], [[<, 0], [0, 1], [1, 0], [0, 0]] -> [[<, 0], [0, 1], [1, 1], [1, 0]], [[<, 0], [0, 1], [1, 0], [0, 1]] -> [[<, 0], [0, 1], [1, 1], [1, 1]], [[<, 0], [0, 1], [1, 0], [0, 2]] -> [[<, 0], [0, 1], [1, 1], [1, 2]], [[0, 0], [0, 1], [1, 0], [0, >]] -> [[0, 0], [0, 1], [1, 1], [1, >]], [[0, 0], [0, 1], [1, 0], [0, 0]] -> [[0, 0], [0, 1], [1, 1], [1, 0]], [[0, 0], [0, 1], [1, 0], [0, 1]] -> [[0, 0], [0, 1], [1, 1], [1, 1]], [[0, 0], [0, 1], [1, 0], [0, 2]] -> [[0, 0], [0, 1], [1, 1], [1, 2]], [[1, 0], [0, 1], [1, 0], [0, >]] -> [[1, 0], [0, 1], [1, 1], [1, >]], [[1, 0], [0, 1], [1, 0], [0, 0]] -> [[1, 0], [0, 1], [1, 1], [1, 0]], [[1, 0], [0, 1], [1, 0], [0, 1]] -> [[1, 0], [0, 1], [1, 1], [1, 1]], [[1, 0], [0, 1], [1, 0], [0, 2]] -> [[1, 0], [0, 1], [1, 1], [1, 2]], [[2, 0], [0, 1], [1, 0], [0, >]] -> [[2, 0], [0, 1], [1, 1], [1, >]], [[2, 0], [0, 1], [1, 0], [0, 0]] -> [[2, 0], [0, 1], [1, 1], [1, 0]], [[2, 0], [0, 1], [1, 0], [0, 1]] -> [[2, 0], [0, 1], [1, 1], [1, 1]], [[2, 0], [0, 1], [1, 0], [0, 2]] -> [[2, 0], [0, 1], [1, 1], [1, 2]], [[<, 0], [0, 2], [2, 0], [0, >]] -> [[<, 1], [1, 1], [1, 0], [0, >]], [[<, 0], [0, 2], [2, 0], [0, 0]] -> [[<, 1], [1, 1], [1, 0], [0, 0]], [[<, 0], [0, 2], [2, 0], [0, 1]] -> [[<, 1], [1, 1], [1, 0], [0, 1]], [[<, 0], [0, 2], [2, 0], [0, 2]] -> [[<, 1], [1, 1], [1, 0], [0, 2]], [[0, 0], [0, 2], [2, 0], [0, >]] -> [[0, 1], [1, 1], [1, 0], [0, >]], [[0, 0], [0, 2], [2, 0], [0, 0]] -> [[0, 1], [1, 1], [1, 0], [0, 0]], [[0, 0], [0, 2], [2, 0], [0, 1]] -> [[0, 1], [1, 1], [1, 0], [0, 1]], [[0, 0], [0, 2], [2, 0], [0, 2]] -> [[0, 1], [1, 1], [1, 0], [0, 2]], [[1, 0], [0, 2], [2, 0], [0, >]] -> [[1, 1], [1, 1], [1, 0], [0, >]], [[1, 0], [0, 2], [2, 0], [0, 0]] -> [[1, 1], [1, 1], [1, 0], [0, 0]], [[1, 0], [0, 2], [2, 0], [0, 1]] -> [[1, 1], [1, 1], [1, 0], [0, 1]], [[1, 0], [0, 2], [2, 0], [0, 2]] -> [[1, 1], [1, 1], [1, 0], [0, 2]], [[2, 0], [0, 2], [2, 0], [0, >]] -> [[2, 1], [1, 1], [1, 0], [0, >]], [[2, 0], [0, 2], [2, 0], [0, 0]] -> [[2, 1], [1, 1], [1, 0], [0, 0]], [[2, 0], [0, 2], [2, 0], [0, 1]] -> [[2, 1], [1, 1], [1, 0], [0, 1]], [[2, 0], [0, 2], [2, 0], [0, 2]] -> [[2, 1], [1, 1], [1, 0], [0, 2]], [[<, 0], [0, 1], [1, 0], [0, >]] -> [[<, 0], [0, 0], [0, 1], [1, >]], [[<, 0], [0, 1], [1, 0], [0, 0]] -> [[<, 0], [0, 0], [0, 1], [1, 0]], [[<, 0], [0, 1], [1, 0], [0, 1]] -> [[<, 0], [0, 0], [0, 1], [1, 1]], [[<, 0], [0, 1], [1, 0], [0, 2]] -> [[<, 0], [0, 0], [0, 1], [1, 2]], [[0, 0], [0, 1], [1, 0], [0, >]] -> [[0, 0], [0, 0], [0, 1], [1, >]], [[0, 0], [0, 1], [1, 0], [0, 0]] -> [[0, 0], [0, 0], [0, 1], [1, 0]], [[0, 0], [0, 1], [1, 0], [0, 1]] -> [[0, 0], [0, 0], [0, 1], [1, 1]], [[0, 0], [0, 1], [1, 0], [0, 2]] -> [[0, 0], [0, 0], [0, 1], [1, 2]], [[1, 0], [0, 1], [1, 0], [0, >]] -> [[1, 0], [0, 0], [0, 1], [1, >]], [[1, 0], [0, 1], [1, 0], [0, 0]] -> [[1, 0], [0, 0], [0, 1], [1, 0]], [[1, 0], [0, 1], [1, 0], [0, 1]] -> [[1, 0], [0, 0], [0, 1], [1, 1]], [[1, 0], [0, 1], [1, 0], [0, 2]] -> [[1, 0], [0, 0], [0, 1], [1, 2]], [[2, 0], [0, 1], [1, 0], [0, >]] -> [[2, 0], [0, 0], [0, 1], [1, >]], [[2, 0], [0, 1], [1, 0], [0, 0]] -> [[2, 0], [0, 0], [0, 1], [1, 0]], [[2, 0], [0, 1], [1, 0], [0, 1]] -> [[2, 0], [0, 0], [0, 1], [1, 1]], [[2, 0], [0, 1], [1, 0], [0, 2]] -> [[2, 0], [0, 0], [0, 1], [1, 2]], [[<, 2], [2, 1], [1, 1], [1, >]] ->= [[<, 1], [1, 2], [2, 0], [0, >]], [[<, 2], [2, 1], [1, 1], [1, 0]] ->= [[<, 1], [1, 2], [2, 0], [0, 0]], [[<, 2], [2, 1], [1, 1], [1, 1]] ->= [[<, 1], [1, 2], [2, 0], [0, 1]], [[<, 2], [2, 1], [1, 1], [1, 2]] ->= [[<, 1], [1, 2], [2, 0], [0, 2]], [[0, 2], [2, 1], [1, 1], [1, >]] ->= [[0, 1], [1, 2], [2, 0], [0, >]], [[0, 2], [2, 1], [1, 1], [1, 0]] ->= [[0, 1], [1, 2], [2, 0], [0, 0]], [[0, 2], [2, 1], [1, 1], [1, 1]] ->= [[0, 1], [1, 2], [2, 0], [0, 1]], [[0, 2], [2, 1], [1, 1], [1, 2]] ->= [[0, 1], [1, 2], [2, 0], [0, 2]], [[1, 2], [2, 1], [1, 1], [1, >]] ->= [[1, 1], [1, 2], [2, 0], [0, >]], [[1, 2], [2, 1], [1, 1], [1, 0]] ->= [[1, 1], [1, 2], [2, 0], [0, 0]], [[1, 2], [2, 1], [1, 1], [1, 1]] ->= [[1, 1], [1, 2], [2, 0], [0, 1]], [[1, 2], [2, 1], [1, 1], [1, 2]] ->= [[1, 1], [1, 2], [2, 0], [0, 2]], [[2, 2], [2, 1], [1, 1], [1, >]] ->= [[2, 1], [1, 2], [2, 0], [0, >]], [[2, 2], [2, 1], [1, 1], [1, 0]] ->= [[2, 1], [1, 2], [2, 0], [0, 0]], [[2, 2], [2, 1], [1, 1], [1, 1]] ->= [[2, 1], [1, 2], [2, 0], [0, 1]], [[2, 2], [2, 1], [1, 1], [1, 2]] ->= [[2, 1], [1, 2], [2, 0], [0, 2]]) 7.44/1.96 reason 7.44/1.96 remap for 112 rules 7.44/1.96 property Termination 7.44/1.96 has value True 7.44/1.96 for SRS ( [0, 1, 2, 3] -> [4, 5, 5, 3], [0, 1, 2, 6] -> [4, 5, 5, 6], [0, 1, 2, 5] -> [4, 5, 5, 5], [0, 1, 2, 7] -> [4, 5, 5, 7], [1, 1, 2, 3] -> [2, 5, 5, 3], [1, 1, 2, 6] -> [2, 5, 5, 6], [1, 1, 2, 5] -> [2, 5, 5, 5], [1, 1, 2, 7] -> [2, 5, 5, 7], [6, 1, 2, 3] -> [5, 5, 5, 3], [6, 1, 2, 6] -> [5, 5, 5, 6], [6, 1, 2, 5] -> [5, 5, 5, 5], [6, 1, 2, 7] -> [5, 5, 5, 7], [8, 1, 2, 3] -> [9, 5, 5, 3], [8, 1, 2, 6] -> [9, 5, 5, 6], [8, 1, 2, 5] -> [9, 5, 5, 5], [8, 1, 2, 7] -> [9, 5, 5, 7], [0, 10, 8, 11] -> [4, 7, 12, 13], [0, 10, 8, 1] -> [4, 7, 12, 8], [0, 10, 8, 2] -> [4, 7, 12, 9], [0, 10, 8, 10] -> [4, 7, 12, 12], [1, 10, 8, 11] -> [2, 7, 12, 13], [1, 10, 8, 1] -> [2, 7, 12, 8], [1, 10, 8, 2] -> [2, 7, 12, 9], [1, 10, 8, 10] -> [2, 7, 12, 12], [6, 10, 8, 11] -> [5, 7, 12, 13], [6, 10, 8, 1] -> [5, 7, 12, 8], [6, 10, 8, 2] -> [5, 7, 12, 9], [6, 10, 8, 10] -> [5, 7, 12, 12], [8, 10, 8, 11] -> [9, 7, 12, 13], [8, 10, 8, 1] -> [9, 7, 12, 8], [8, 10, 8, 2] -> [9, 7, 12, 9], [8, 10, 8, 10] -> [9, 7, 12, 12], [0, 1, 1, 11] -> [14, 12, 9, 3], [0, 1, 1, 1] -> [14, 12, 9, 6], [0, 1, 1, 2] -> [14, 12, 9, 5], [0, 1, 1, 10] -> [14, 12, 9, 7], [1, 1, 1, 11] -> [10, 12, 9, 3], [1, 1, 1, 1] -> [10, 12, 9, 6], [1, 1, 1, 2] -> [10, 12, 9, 5], [1, 1, 1, 10] -> [10, 12, 9, 7], [6, 1, 1, 11] -> [7, 12, 9, 3], [6, 1, 1, 1] -> [7, 12, 9, 6], [6, 1, 1, 2] -> [7, 12, 9, 5], [6, 1, 1, 10] -> [7, 12, 9, 7], [8, 1, 1, 11] -> [12, 12, 9, 3], [8, 1, 1, 1] -> [12, 12, 9, 6], [8, 1, 1, 2] -> [12, 12, 9, 5], [8, 1, 1, 10] -> [12, 12, 9, 7], [0, 2, 6, 11] -> [0, 2, 5, 3], [0, 2, 6, 1] -> [0, 2, 5, 6], [0, 2, 6, 2] -> [0, 2, 5, 5], [0, 2, 6, 10] -> [0, 2, 5, 7], [1, 2, 6, 11] -> [1, 2, 5, 3], [1, 2, 6, 1] -> [1, 2, 5, 6], [1, 2, 6, 2] -> [1, 2, 5, 5], [1, 2, 6, 10] -> [1, 2, 5, 7], [6, 2, 6, 11] -> [6, 2, 5, 3], [6, 2, 6, 1] -> [6, 2, 5, 6], [6, 2, 6, 2] -> [6, 2, 5, 5], [6, 2, 6, 10] -> [6, 2, 5, 7], [8, 2, 6, 11] -> [8, 2, 5, 3], [8, 2, 6, 1] -> [8, 2, 5, 6], [8, 2, 6, 2] -> [8, 2, 5, 5], [8, 2, 6, 10] -> [8, 2, 5, 7], [0, 10, 8, 11] -> [4, 5, 6, 11], [0, 10, 8, 1] -> [4, 5, 6, 1], [0, 10, 8, 2] -> [4, 5, 6, 2], [0, 10, 8, 10] -> [4, 5, 6, 10], [1, 10, 8, 11] -> [2, 5, 6, 11], [1, 10, 8, 1] -> [2, 5, 6, 1], [1, 10, 8, 2] -> [2, 5, 6, 2], [1, 10, 8, 10] -> [2, 5, 6, 10], [6, 10, 8, 11] -> [5, 5, 6, 11], [6, 10, 8, 1] -> [5, 5, 6, 1], [6, 10, 8, 2] -> [5, 5, 6, 2], [6, 10, 8, 10] -> [5, 5, 6, 10], [8, 10, 8, 11] -> [9, 5, 6, 11], [8, 10, 8, 1] -> [9, 5, 6, 1], [8, 10, 8, 2] -> [9, 5, 6, 2], [8, 10, 8, 10] -> [9, 5, 6, 10], [0, 2, 6, 11] -> [0, 1, 2, 3], [0, 2, 6, 1] -> [0, 1, 2, 6], [0, 2, 6, 2] -> [0, 1, 2, 5], [0, 2, 6, 10] -> [0, 1, 2, 7], [1, 2, 6, 11] -> [1, 1, 2, 3], [1, 2, 6, 1] -> [1, 1, 2, 6], [1, 2, 6, 2] -> [1, 1, 2, 5], [1, 2, 6, 10] -> [1, 1, 2, 7], [6, 2, 6, 11] -> [6, 1, 2, 3], [6, 2, 6, 1] -> [6, 1, 2, 6], [6, 2, 6, 2] -> [6, 1, 2, 5], [6, 2, 6, 10] -> [6, 1, 2, 7], [8, 2, 6, 11] -> [8, 1, 2, 3], [8, 2, 6, 1] -> [8, 1, 2, 6], [8, 2, 6, 2] -> [8, 1, 2, 5], [8, 2, 6, 10] -> [8, 1, 2, 7], [14, 9, 5, 3] ->= [4, 7, 8, 11], [14, 9, 5, 6] ->= [4, 7, 8, 1], [14, 9, 5, 5] ->= [4, 7, 8, 2], [14, 9, 5, 7] ->= [4, 7, 8, 10], [10, 9, 5, 3] ->= [2, 7, 8, 11], [10, 9, 5, 6] ->= [2, 7, 8, 1], [10, 9, 5, 5] ->= [2, 7, 8, 2], [10, 9, 5, 7] ->= [2, 7, 8, 10], [7, 9, 5, 3] ->= [5, 7, 8, 11], [7, 9, 5, 6] ->= [5, 7, 8, 1], [7, 9, 5, 5] ->= [5, 7, 8, 2], [7, 9, 5, 7] ->= [5, 7, 8, 10], [12, 9, 5, 3] ->= [9, 7, 8, 11], [12, 9, 5, 6] ->= [9, 7, 8, 1], [12, 9, 5, 5] ->= [9, 7, 8, 2], [12, 9, 5, 7] ->= [9, 7, 8, 10]) 7.44/1.96 reason 7.44/1.96 weights 7.44/1.96 Map [(0, 2/1), (3, 1/3), (11, 1/3), (14, 1/1)] 7.44/1.96 7.44/1.96 property Termination 7.44/1.96 has value True 7.44/1.97 for SRS ( [1, 1, 2, 3] -> [2, 5, 5, 3], [1, 1, 2, 6] -> [2, 5, 5, 6], [1, 1, 2, 5] -> [2, 5, 5, 5], [1, 1, 2, 7] -> [2, 5, 5, 7], [6, 1, 2, 3] -> [5, 5, 5, 3], [6, 1, 2, 6] -> [5, 5, 5, 6], [6, 1, 2, 5] -> [5, 5, 5, 5], [6, 1, 2, 7] -> [5, 5, 5, 7], [8, 1, 2, 3] -> [9, 5, 5, 3], [8, 1, 2, 6] -> [9, 5, 5, 6], [8, 1, 2, 5] -> [9, 5, 5, 5], [8, 1, 2, 7] -> [9, 5, 5, 7], [1, 10, 8, 1] -> [2, 7, 12, 8], [1, 10, 8, 2] -> [2, 7, 12, 9], [1, 10, 8, 10] -> [2, 7, 12, 12], [6, 10, 8, 1] -> [5, 7, 12, 8], [6, 10, 8, 2] -> [5, 7, 12, 9], [6, 10, 8, 10] -> [5, 7, 12, 12], [8, 10, 8, 1] -> [9, 7, 12, 8], [8, 10, 8, 2] -> [9, 7, 12, 9], [8, 10, 8, 10] -> [9, 7, 12, 12], [1, 1, 1, 11] -> [10, 12, 9, 3], [1, 1, 1, 1] -> [10, 12, 9, 6], [1, 1, 1, 2] -> [10, 12, 9, 5], [1, 1, 1, 10] -> [10, 12, 9, 7], [6, 1, 1, 11] -> [7, 12, 9, 3], [6, 1, 1, 1] -> [7, 12, 9, 6], [6, 1, 1, 2] -> [7, 12, 9, 5], [6, 1, 1, 10] -> [7, 12, 9, 7], [8, 1, 1, 11] -> [12, 12, 9, 3], [8, 1, 1, 1] -> [12, 12, 9, 6], [8, 1, 1, 2] -> [12, 12, 9, 5], [8, 1, 1, 10] -> [12, 12, 9, 7], [0, 2, 6, 11] -> [0, 2, 5, 3], [0, 2, 6, 1] -> [0, 2, 5, 6], [0, 2, 6, 2] -> [0, 2, 5, 5], [0, 2, 6, 10] -> [0, 2, 5, 7], [1, 2, 6, 11] -> [1, 2, 5, 3], [1, 2, 6, 1] -> [1, 2, 5, 6], [1, 2, 6, 2] -> [1, 2, 5, 5], [1, 2, 6, 10] -> [1, 2, 5, 7], [6, 2, 6, 11] -> [6, 2, 5, 3], [6, 2, 6, 1] -> [6, 2, 5, 6], [6, 2, 6, 2] -> [6, 2, 5, 5], [6, 2, 6, 10] -> [6, 2, 5, 7], [8, 2, 6, 11] -> [8, 2, 5, 3], [8, 2, 6, 1] -> [8, 2, 5, 6], [8, 2, 6, 2] -> [8, 2, 5, 5], [8, 2, 6, 10] -> [8, 2, 5, 7], [1, 10, 8, 11] -> [2, 5, 6, 11], [1, 10, 8, 1] -> [2, 5, 6, 1], [1, 10, 8, 2] -> [2, 5, 6, 2], [1, 10, 8, 10] -> [2, 5, 6, 10], [6, 10, 8, 11] -> [5, 5, 6, 11], [6, 10, 8, 1] -> [5, 5, 6, 1], [6, 10, 8, 2] -> [5, 5, 6, 2], [6, 10, 8, 10] -> [5, 5, 6, 10], [8, 10, 8, 11] -> [9, 5, 6, 11], [8, 10, 8, 1] -> [9, 5, 6, 1], [8, 10, 8, 2] -> [9, 5, 6, 2], [8, 10, 8, 10] -> [9, 5, 6, 10], [0, 2, 6, 11] -> [0, 1, 2, 3], [0, 2, 6, 1] -> [0, 1, 2, 6], [0, 2, 6, 2] -> [0, 1, 2, 5], [0, 2, 6, 10] -> [0, 1, 2, 7], [1, 2, 6, 11] -> [1, 1, 2, 3], [1, 2, 6, 1] -> [1, 1, 2, 6], [1, 2, 6, 2] -> [1, 1, 2, 5], [1, 2, 6, 10] -> [1, 1, 2, 7], [6, 2, 6, 11] -> [6, 1, 2, 3], [6, 2, 6, 1] -> [6, 1, 2, 6], [6, 2, 6, 2] -> [6, 1, 2, 5], [6, 2, 6, 10] -> [6, 1, 2, 7], [8, 2, 6, 11] -> [8, 1, 2, 3], [8, 2, 6, 1] -> [8, 1, 2, 6], [8, 2, 6, 2] -> [8, 1, 2, 5], [8, 2, 6, 10] -> [8, 1, 2, 7], [10, 9, 5, 3] ->= [2, 7, 8, 11], [10, 9, 5, 6] ->= [2, 7, 8, 1], [10, 9, 5, 5] ->= [2, 7, 8, 2], [10, 9, 5, 7] ->= [2, 7, 8, 10], [7, 9, 5, 3] ->= [5, 7, 8, 11], [7, 9, 5, 6] ->= [5, 7, 8, 1], [7, 9, 5, 5] ->= [5, 7, 8, 2], [7, 9, 5, 7] ->= [5, 7, 8, 10], [12, 9, 5, 3] ->= [9, 7, 8, 11], [12, 9, 5, 6] ->= [9, 7, 8, 1], [12, 9, 5, 5] ->= [9, 7, 8, 2], [12, 9, 5, 7] ->= [9, 7, 8, 10]) 7.44/1.97 reason 7.44/1.97 reverse each lhs and rhs 7.44/1.97 property Termination 7.44/1.97 has value True 7.44/1.98 for SRS ( [3, 2, 1, 1] -> [3, 5, 5, 2], [6, 2, 1, 1] -> [6, 5, 5, 2], [5, 2, 1, 1] -> [5, 5, 5, 2], [7, 2, 1, 1] -> [7, 5, 5, 2], [3, 2, 1, 6] -> [3, 5, 5, 5], [6, 2, 1, 6] -> [6, 5, 5, 5], [5, 2, 1, 6] -> [5, 5, 5, 5], [7, 2, 1, 6] -> [7, 5, 5, 5], [3, 2, 1, 8] -> [3, 5, 5, 9], [6, 2, 1, 8] -> [6, 5, 5, 9], [5, 2, 1, 8] -> [5, 5, 5, 9], [7, 2, 1, 8] -> [7, 5, 5, 9], [1, 8, 10, 1] -> [8, 12, 7, 2], [2, 8, 10, 1] -> [9, 12, 7, 2], [10, 8, 10, 1] -> [12, 12, 7, 2], [1, 8, 10, 6] -> [8, 12, 7, 5], [2, 8, 10, 6] -> [9, 12, 7, 5], [10, 8, 10, 6] -> [12, 12, 7, 5], [1, 8, 10, 8] -> [8, 12, 7, 9], [2, 8, 10, 8] -> [9, 12, 7, 9], [10, 8, 10, 8] -> [12, 12, 7, 9], [11, 1, 1, 1] -> [3, 9, 12, 10], [1, 1, 1, 1] -> [6, 9, 12, 10], [2, 1, 1, 1] -> [5, 9, 12, 10], [10, 1, 1, 1] -> [7, 9, 12, 10], [11, 1, 1, 6] -> [3, 9, 12, 7], [1, 1, 1, 6] -> [6, 9, 12, 7], [2, 1, 1, 6] -> [5, 9, 12, 7], [10, 1, 1, 6] -> [7, 9, 12, 7], [11, 1, 1, 8] -> [3, 9, 12, 12], [1, 1, 1, 8] -> [6, 9, 12, 12], [2, 1, 1, 8] -> [5, 9, 12, 12], [10, 1, 1, 8] -> [7, 9, 12, 12], [11, 6, 2, 0] -> [3, 5, 2, 0], [1, 6, 2, 0] -> [6, 5, 2, 0], [2, 6, 2, 0] -> [5, 5, 2, 0], [10, 6, 2, 0] -> [7, 5, 2, 0], [11, 6, 2, 1] -> [3, 5, 2, 1], [1, 6, 2, 1] -> [6, 5, 2, 1], [2, 6, 2, 1] -> [5, 5, 2, 1], [10, 6, 2, 1] -> [7, 5, 2, 1], [11, 6, 2, 6] -> [3, 5, 2, 6], [1, 6, 2, 6] -> [6, 5, 2, 6], [2, 6, 2, 6] -> [5, 5, 2, 6], [10, 6, 2, 6] -> [7, 5, 2, 6], [11, 6, 2, 8] -> [3, 5, 2, 8], [1, 6, 2, 8] -> [6, 5, 2, 8], [2, 6, 2, 8] -> [5, 5, 2, 8], [10, 6, 2, 8] -> [7, 5, 2, 8], [11, 8, 10, 1] -> [11, 6, 5, 2], [1, 8, 10, 1] -> [1, 6, 5, 2], [2, 8, 10, 1] -> [2, 6, 5, 2], [10, 8, 10, 1] -> [10, 6, 5, 2], [11, 8, 10, 6] -> [11, 6, 5, 5], [1, 8, 10, 6] -> [1, 6, 5, 5], [2, 8, 10, 6] -> [2, 6, 5, 5], [10, 8, 10, 6] -> [10, 6, 5, 5], [11, 8, 10, 8] -> [11, 6, 5, 9], [1, 8, 10, 8] -> [1, 6, 5, 9], [2, 8, 10, 8] -> [2, 6, 5, 9], [10, 8, 10, 8] -> [10, 6, 5, 9], [11, 6, 2, 0] -> [3, 2, 1, 0], [1, 6, 2, 0] -> [6, 2, 1, 0], [2, 6, 2, 0] -> [5, 2, 1, 0], [10, 6, 2, 0] -> [7, 2, 1, 0], [11, 6, 2, 1] -> [3, 2, 1, 1], [1, 6, 2, 1] -> [6, 2, 1, 1], [2, 6, 2, 1] -> [5, 2, 1, 1], [10, 6, 2, 1] -> [7, 2, 1, 1], [11, 6, 2, 6] -> [3, 2, 1, 6], [1, 6, 2, 6] -> [6, 2, 1, 6], [2, 6, 2, 6] -> [5, 2, 1, 6], [10, 6, 2, 6] -> [7, 2, 1, 6], [11, 6, 2, 8] -> [3, 2, 1, 8], [1, 6, 2, 8] -> [6, 2, 1, 8], [2, 6, 2, 8] -> [5, 2, 1, 8], [10, 6, 2, 8] -> [7, 2, 1, 8], [3, 5, 9, 10] ->= [11, 8, 7, 2], [6, 5, 9, 10] ->= [1, 8, 7, 2], [5, 5, 9, 10] ->= [2, 8, 7, 2], [7, 5, 9, 10] ->= [10, 8, 7, 2], [3, 5, 9, 7] ->= [11, 8, 7, 5], [6, 5, 9, 7] ->= [1, 8, 7, 5], [5, 5, 9, 7] ->= [2, 8, 7, 5], [7, 5, 9, 7] ->= [10, 8, 7, 5], [3, 5, 9, 12] ->= [11, 8, 7, 9], [6, 5, 9, 12] ->= [1, 8, 7, 9], [5, 5, 9, 12] ->= [2, 8, 7, 9], [7, 5, 9, 12] ->= [10, 8, 7, 9]) 7.44/1.98 reason 7.44/1.98 Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} 7.44/1.98 interpretation 7.44/1.98 0 / 1 0 \ 7.44/1.98 \ 0 1 / 7.44/1.98 1 / 2 1 \ 7.44/1.98 \ 0 1 / 7.44/1.98 2 / 2 1 \ 7.44/1.98 \ 0 1 / 7.44/1.98 3 / 1 0 \ 7.44/1.98 \ 0 1 / 7.44/1.98 5 / 2 0 \ 7.44/1.98 \ 0 1 / 7.44/1.98 6 / 2 1 \ 7.44/1.98 \ 0 1 / 7.44/1.98 7 / 2 0 \ 7.44/1.98 \ 0 1 / 7.44/1.98 8 / 2 1 \ 7.44/1.98 \ 0 1 / 7.44/1.98 9 / 2 1 \ 7.44/1.98 \ 0 1 / 7.44/1.98 10 / 2 1 \ 7.44/1.98 \ 0 1 / 7.44/1.98 11 / 1 0 \ 7.44/1.98 \ 0 1 / 7.44/1.98 12 / 2 1 \ 7.44/1.98 \ 0 1 / 7.44/1.98 [3, 2, 1, 1] -> [3, 5, 5, 2] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 8 7 \ / 8 4 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [6, 2, 1, 1] -> [6, 5, 5, 2] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 15 \ / 16 9 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [5, 2, 1, 1] -> [5, 5, 5, 2] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 14 \ / 16 8 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [7, 2, 1, 1] -> [7, 5, 5, 2] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 14 \ / 16 8 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [3, 2, 1, 6] -> [3, 5, 5, 5] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 8 7 \ / 8 0 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [6, 2, 1, 6] -> [6, 5, 5, 5] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 15 \ / 16 1 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [5, 2, 1, 6] -> [5, 5, 5, 5] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 14 \ / 16 0 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [7, 2, 1, 6] -> [7, 5, 5, 5] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 14 \ / 16 0 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [3, 2, 1, 8] -> [3, 5, 5, 9] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 8 7 \ / 8 4 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [6, 2, 1, 8] -> [6, 5, 5, 9] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 15 \ / 16 9 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [5, 2, 1, 8] -> [5, 5, 5, 9] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 14 \ / 16 8 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [7, 2, 1, 8] -> [7, 5, 5, 9] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 14 \ / 16 8 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [1, 8, 10, 1] -> [8, 12, 7, 2] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 15 \ / 16 11 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [2, 8, 10, 1] -> [9, 12, 7, 2] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 15 \ / 16 11 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [10, 8, 10, 1] -> [12, 12, 7, 2] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 15 \ / 16 11 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [1, 8, 10, 6] -> [8, 12, 7, 5] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 15 \ / 16 3 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [2, 8, 10, 6] -> [9, 12, 7, 5] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 15 \ / 16 3 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [10, 8, 10, 6] -> [12, 12, 7, 5] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 15 \ / 16 3 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [1, 8, 10, 8] -> [8, 12, 7, 9] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 15 \ / 16 11 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [2, 8, 10, 8] -> [9, 12, 7, 9] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 15 \ / 16 11 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [10, 8, 10, 8] -> [12, 12, 7, 9] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 15 \ / 16 11 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [11, 1, 1, 1] -> [3, 9, 12, 10] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 8 7 \ / 8 7 \ True False 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [1, 1, 1, 1] -> [6, 9, 12, 10] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 15 \ / 16 15 \ True False 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [2, 1, 1, 1] -> [5, 9, 12, 10] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 15 \ / 16 14 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [10, 1, 1, 1] -> [7, 9, 12, 10] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 15 \ / 16 14 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [11, 1, 1, 6] -> [3, 9, 12, 7] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 8 7 \ / 8 3 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [1, 1, 1, 6] -> [6, 9, 12, 7] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 15 \ / 16 7 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [2, 1, 1, 6] -> [5, 9, 12, 7] 7.44/1.98 lhs rhs ge gt 7.44/1.98 / 16 15 \ / 16 6 \ True True 7.44/1.98 \ 0 1 / \ 0 1 / 7.44/1.98 [10, 1, 1, 6] -> [7, 9, 12, 7] 7.44/1.99 lhs rhs ge gt 7.44/1.99 / 16 15 \ / 16 6 \ True True 7.44/1.99 \ 0 1 / \ 0 1 / 7.44/1.99 [11, 1, 1, 8] -> [3, 9, 12, 12] 7.44/1.99 lhs rhs ge gt 7.44/1.99 / 8 7 \ / 8 7 \ True False 7.44/1.99 \ 0 1 / \ 0 1 / 7.44/1.99 [1, 1, 1, 8] -> [6, 9, 12, 12] 7.44/1.99 lhs rhs ge gt 7.44/1.99 / 16 15 \ / 16 15 \ True False 7.44/1.99 \ 0 1 / \ 0 1 / 7.44/1.99 [2, 1, 1, 8] -> [5, 9, 12, 12] 7.44/1.99 lhs rhs ge gt 7.44/1.99 / 16 15 \ / 16 14 \ True True 7.44/1.99 \ 0 1 / \ 0 1 / 7.44/1.99 [10, 1, 1, 8] -> [7, 9, 12, 12] 7.44/1.99 lhs rhs ge gt 7.44/1.99 / 16 15 \ / 16 14 \ True True 7.44/1.99 \ 0 1 / \ 0 1 / 7.44/1.99 [11, 6, 2, 0] -> [3, 5, 2, 0] 7.44/1.99 lhs rhs ge gt 7.44/1.99 / 4 3 \ / 4 2 \ True True 7.44/1.99 \ 0 1 / \ 0 1 / 7.44/1.99 [1, 6, 2, 0] -> [6, 5, 2, 0] 7.44/1.99 lhs rhs ge gt 7.44/1.99 / 8 7 \ / 8 5 \ True True 7.44/1.99 \ 0 1 / \ 0 1 / 7.44/1.99 [2, 6, 2, 0] -> [5, 5, 2, 0] 7.44/1.99 lhs rhs ge gt 7.44/1.99 / 8 7 \ / 8 4 \ True True 7.44/1.99 \ 0 1 / \ 0 1 / 7.44/1.99 [10, 6, 2, 0] -> [7, 5, 2, 0] 7.44/1.99 lhs rhs ge gt 7.44/1.99 / 8 7 \ / 8 4 \ True True 7.44/1.99 \ 0 1 / \ 0 1 / 7.44/1.99 [11, 6, 2, 1] -> [3, 5, 2, 1] 7.44/1.99 lhs rhs ge gt 7.44/1.99 / 8 7 \ / 8 6 \ True True 7.44/1.99 \ 0 1 / \ 0 1 / 7.44/1.99 [1, 6, 2, 1] -> [6, 5, 2, 1] 7.44/1.99 lhs rhs ge gt 7.44/1.99 / 16 15 \ / 16 13 \ True True 7.44/1.99 \ 0 1 / \ 0 1 / 7.44/1.99 [2, 6, 2, 1] -> [5, 5, 2, 1] 7.44/1.99 lhs rhs ge gt 7.44/1.99 / 16 15 \ / 16 12 \ True True 7.44/1.99 \ 0 1 / \ 0 1 / 7.83/1.99 [10, 6, 2, 1] -> [7, 5, 2, 1] 7.83/1.99 lhs rhs ge gt 7.83/1.99 / 16 15 \ / 16 12 \ True True 7.83/1.99 \ 0 1 / \ 0 1 / 7.83/1.99 [11, 6, 2, 6] -> [3, 5, 2, 6] 7.83/1.99 lhs rhs ge gt 7.83/1.99 / 8 7 \ / 8 6 \ True True 7.83/1.99 \ 0 1 / \ 0 1 / 7.83/1.99 [1, 6, 2, 6] -> [6, 5, 2, 6] 7.83/1.99 lhs rhs ge gt 7.83/1.99 / 16 15 \ / 16 13 \ True True 7.83/1.99 \ 0 1 / \ 0 1 / 7.83/1.99 [2, 6, 2, 6] -> [5, 5, 2, 6] 7.83/1.99 lhs rhs ge gt 7.83/1.99 / 16 15 \ / 16 12 \ True True 7.83/1.99 \ 0 1 / \ 0 1 / 7.83/1.99 [10, 6, 2, 6] -> [7, 5, 2, 6] 7.83/1.99 lhs rhs ge gt 7.83/1.99 / 16 15 \ / 16 12 \ True True 7.83/1.99 \ 0 1 / \ 0 1 / 7.83/1.99 [11, 6, 2, 8] -> [3, 5, 2, 8] 7.83/1.99 lhs rhs ge gt 7.83/1.99 / 8 7 \ / 8 6 \ True True 7.83/1.99 \ 0 1 / \ 0 1 / 7.83/1.99 [1, 6, 2, 8] -> [6, 5, 2, 8] 7.83/1.99 lhs rhs ge gt 7.83/1.99 / 16 15 \ / 16 13 \ True True 7.83/1.99 \ 0 1 / \ 0 1 / 7.83/1.99 [2, 6, 2, 8] -> [5, 5, 2, 8] 7.83/1.99 lhs rhs ge gt 7.83/1.99 / 16 15 \ / 16 12 \ True True 7.83/1.99 \ 0 1 / \ 0 1 / 7.83/1.99 [10, 6, 2, 8] -> [7, 5, 2, 8] 7.83/1.99 lhs rhs ge gt 7.83/1.99 / 16 15 \ / 16 12 \ True True 7.83/1.99 \ 0 1 / \ 0 1 / 7.83/1.99 [11, 8, 10, 1] -> [11, 6, 5, 2] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 8 7 \ / 8 5 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [1, 8, 10, 1] -> [1, 6, 5, 2] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 11 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [2, 8, 10, 1] -> [2, 6, 5, 2] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 11 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [10, 8, 10, 1] -> [10, 6, 5, 2] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 11 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [11, 8, 10, 6] -> [11, 6, 5, 5] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 8 7 \ / 8 1 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [1, 8, 10, 6] -> [1, 6, 5, 5] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 3 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [2, 8, 10, 6] -> [2, 6, 5, 5] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 3 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [10, 8, 10, 6] -> [10, 6, 5, 5] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 3 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [11, 8, 10, 8] -> [11, 6, 5, 9] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 8 7 \ / 8 5 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [1, 8, 10, 8] -> [1, 6, 5, 9] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 11 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [2, 8, 10, 8] -> [2, 6, 5, 9] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 11 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [10, 8, 10, 8] -> [10, 6, 5, 9] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 11 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [11, 6, 2, 0] -> [3, 2, 1, 0] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 4 3 \ / 4 3 \ True False 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [1, 6, 2, 0] -> [6, 2, 1, 0] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 8 7 \ / 8 7 \ True False 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [2, 6, 2, 0] -> [5, 2, 1, 0] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 8 7 \ / 8 6 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [10, 6, 2, 0] -> [7, 2, 1, 0] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 8 7 \ / 8 6 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [11, 6, 2, 1] -> [3, 2, 1, 1] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 8 7 \ / 8 7 \ True False 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [1, 6, 2, 1] -> [6, 2, 1, 1] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 15 \ True False 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [2, 6, 2, 1] -> [5, 2, 1, 1] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 14 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [10, 6, 2, 1] -> [7, 2, 1, 1] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 14 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [11, 6, 2, 6] -> [3, 2, 1, 6] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 8 7 \ / 8 7 \ True False 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [1, 6, 2, 6] -> [6, 2, 1, 6] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 15 \ True False 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [2, 6, 2, 6] -> [5, 2, 1, 6] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 14 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [10, 6, 2, 6] -> [7, 2, 1, 6] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 14 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [11, 6, 2, 8] -> [3, 2, 1, 8] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 8 7 \ / 8 7 \ True False 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [1, 6, 2, 8] -> [6, 2, 1, 8] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 15 \ True False 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [2, 6, 2, 8] -> [5, 2, 1, 8] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 14 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [10, 6, 2, 8] -> [7, 2, 1, 8] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 15 \ / 16 14 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [3, 5, 9, 10] ->= [11, 8, 7, 2] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 8 6 \ / 8 5 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [6, 5, 9, 10] ->= [1, 8, 7, 2] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 13 \ / 16 11 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [5, 5, 9, 10] ->= [2, 8, 7, 2] 7.83/2.00 lhs rhs ge gt 7.83/2.00 / 16 12 \ / 16 11 \ True True 7.83/2.00 \ 0 1 / \ 0 1 / 7.83/2.00 [7, 5, 9, 10] ->= [10, 8, 7, 2] 7.83/2.01 lhs rhs ge gt 7.83/2.01 / 16 12 \ / 16 11 \ True True 7.83/2.01 \ 0 1 / \ 0 1 / 7.83/2.01 [3, 5, 9, 7] ->= [11, 8, 7, 5] 7.83/2.01 lhs rhs ge gt 7.83/2.01 / 8 2 \ / 8 1 \ True True 7.83/2.01 \ 0 1 / \ 0 1 / 7.83/2.01 [6, 5, 9, 7] ->= [1, 8, 7, 5] 7.83/2.01 lhs rhs ge gt 7.83/2.01 / 16 5 \ / 16 3 \ True True 7.83/2.01 \ 0 1 / \ 0 1 / 7.83/2.01 [5, 5, 9, 7] ->= [2, 8, 7, 5] 7.83/2.01 lhs rhs ge gt 7.83/2.01 / 16 4 \ / 16 3 \ True True 7.83/2.01 \ 0 1 / \ 0 1 / 7.83/2.01 [7, 5, 9, 7] ->= [10, 8, 7, 5] 7.83/2.01 lhs rhs ge gt 7.83/2.01 / 16 4 \ / 16 3 \ True True 7.83/2.01 \ 0 1 / \ 0 1 / 7.83/2.01 [3, 5, 9, 12] ->= [11, 8, 7, 9] 7.83/2.01 lhs rhs ge gt 7.83/2.01 / 8 6 \ / 8 5 \ True True 7.83/2.01 \ 0 1 / \ 0 1 / 7.83/2.01 [6, 5, 9, 12] ->= [1, 8, 7, 9] 7.83/2.01 lhs rhs ge gt 7.83/2.01 / 16 13 \ / 16 11 \ True True 7.83/2.01 \ 0 1 / \ 0 1 / 7.83/2.01 [5, 5, 9, 12] ->= [2, 8, 7, 9] 7.83/2.01 lhs rhs ge gt 7.83/2.01 / 16 12 \ / 16 11 \ True True 7.83/2.01 \ 0 1 / \ 0 1 / 7.90/2.01 [7, 5, 9, 12] ->= [10, 8, 7, 9] 7.90/2.01 lhs rhs ge gt 7.90/2.01 / 16 12 \ / 16 11 \ True True 7.90/2.01 \ 0 1 / \ 0 1 / 7.90/2.01 property Termination 7.90/2.01 has value True 7.90/2.01 for SRS ( [11, 1, 1, 1] -> [3, 9, 12, 10], [1, 1, 1, 1] -> [6, 9, 12, 10], [11, 1, 1, 8] -> [3, 9, 12, 12], [1, 1, 1, 8] -> [6, 9, 12, 12], [11, 6, 2, 0] -> [3, 2, 1, 0], [1, 6, 2, 0] -> [6, 2, 1, 0], [11, 6, 2, 1] -> [3, 2, 1, 1], [1, 6, 2, 1] -> [6, 2, 1, 1], [11, 6, 2, 6] -> [3, 2, 1, 6], [1, 6, 2, 6] -> [6, 2, 1, 6], [11, 6, 2, 8] -> [3, 2, 1, 8], [1, 6, 2, 8] -> [6, 2, 1, 8]) 7.90/2.01 reason 7.90/2.01 weights 7.90/2.01 Map [(1, 1/1), (8, 2/1), (11, 6/1)] 7.90/2.01 7.90/2.01 property Termination 7.90/2.01 has value True 7.90/2.01 for SRS ( [1, 6, 2, 0] -> [6, 2, 1, 0], [1, 6, 2, 1] -> [6, 2, 1, 1], [1, 6, 2, 6] -> [6, 2, 1, 6], [1, 6, 2, 8] -> [6, 2, 1, 8]) 7.90/2.01 reason 7.90/2.01 Tiling { method = Overlap, width = 5, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 7.90/2.01 using 52 tiles 7.90/2.01 [ [1, 1, 1, 0, >] , [1, 1, 1, 1, >] , [1, 1, 1, 6, >] , [1, 1, 1, 8, >] , [2, 1, 1, 0, >] , [2, 1, 1, 1, >] , [2, 1, 1, 6, >] , [2, 1, 1, 8, >] , [6, 2, 1, 0, >] , [6, 2, 1, 1, >] , [6, 2, 1, 6, >] , [6, 2, 1, 8, >] , [<, 6, 2, 1, 0] , [1, 1, 1, 1, 0] , [1, 6, 2, 1, 0] , [2, 1, 1, 1, 0] , [2, 6, 2, 1, 0] , [6, 2, 1, 1, 0] , [<, <, 6, 2, 1] , [<, 6, 2, 1, 1] , [1, 1, 1, 1, 1] , [1, 1, 6, 2, 1] , [1, 6, 2, 1, 1] , [2, 1, 1, 1, 1] , [2, 1, 6, 2, 1] , [2, 6, 2, 1, 1] , [6, 2, 1, 1, 1] , [6, 2, 6, 2, 1] , [<, <, <, 6, 2] , [<, 6, 2, 6, 2] , [1, 1, 1, 6, 2] , [1, 6, 2, 6, 2] , [2, 1, 1, 6, 2] , [2, 6, 2, 6, 2] , [6, 2, 1, 6, 2] , [<, <, <, <, 6] , [<, <, 6, 2, 6] , [<, 6, 2, 1, 6] , [1, 1, 1, 1, 6] , [1, 1, 6, 2, 6] , [1, 6, 2, 1, 6] , [2, 1, 1, 1, 6] , [2, 1, 6, 2, 6] , [2, 6, 2, 1, 6] , [6, 2, 1, 1, 6] , [6, 2, 6, 2, 6] , [<, 6, 2, 1, 8] , [1, 1, 1, 1, 8] , [1, 6, 2, 1, 8] , [2, 1, 1, 1, 8] , [2, 6, 2, 1, 8] , [6, 2, 1, 1, 8] ] 7.90/2.01 remove some unmatched rules 7.90/2.01 7.90/2.01 property Termination 7.90/2.01 has value True 7.90/2.01 for SRS ( [[1], [6], [2], [1]] -> [[6], [2], [1], [1]], [[1], [6], [2], [6]] -> [[6], [2], [1], [6]]) 7.90/2.01 reason 7.90/2.01 remap for 2 rules 7.90/2.01 property Termination 7.90/2.01 has value True 7.90/2.01 for SRS ( [0, 1, 2, 0] -> [1, 2, 0, 0], [0, 1, 2, 1] -> [1, 2, 0, 1]) 7.90/2.01 reason 7.90/2.01 reverse each lhs and rhs 7.90/2.01 property Termination 7.90/2.01 has value True 7.90/2.01 for SRS ( [0, 2, 1, 0] -> [0, 0, 2, 1], [1, 2, 1, 0] -> [1, 0, 2, 1]) 7.90/2.01 reason 7.90/2.01 Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} 7.90/2.01 interpretation 7.90/2.01 0 / 1 1 \ 7.90/2.01 \ 0 1 / 7.90/2.01 1 / 1 1 \ 7.90/2.01 \ 0 1 / 7.90/2.01 2 / 2 1 \ 7.90/2.01 \ 0 1 / 7.90/2.01 [0, 2, 1, 0] -> [0, 0, 2, 1] 7.90/2.01 lhs rhs ge gt 7.90/2.01 / 2 6 \ / 2 5 \ True True 7.90/2.01 \ 0 1 / \ 0 1 / 7.90/2.01 [1, 2, 1, 0] -> [1, 0, 2, 1] 7.90/2.01 lhs rhs ge gt 7.90/2.01 / 2 6 \ / 2 5 \ True True 7.90/2.01 \ 0 1 / \ 0 1 / 7.90/2.01 property Termination 7.90/2.01 has value True 7.90/2.01 for SRS ( ) 7.90/2.01 reason 7.90/2.01 has no strict rules 7.90/2.01 7.90/2.01 ************************************************** 7.90/2.01 summary 7.90/2.01 ************************************************** 7.90/2.01 SRS with 7 rules on 3 letters Remap { tracing = False} 7.90/2.01 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} 7.93/2.02 SRS with 112 rules on 15 letters Remap { tracing = False} 7.93/2.02 SRS with 112 rules on 15 letters weights 7.93/2.02 SRS with 89 rules on 12 letters reverse each lhs and rhs 7.93/2.02 SRS with 89 rules on 12 letters Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} 7.93/2.02 SRS with 12 rules on 10 letters weights 7.93/2.02 SRS with 4 rules on 5 letters remove some, by Tiling { method = Overlap, width = 5, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 7.93/2.02 SRS with 2 rules on 3 letters Remap { tracing = False} 7.93/2.02 SRS with 2 rules on 3 letters reverse each lhs and rhs 7.93/2.02 SRS with 2 rules on 3 letters Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} 7.93/2.02 SRS with 0 rules on 0 letters has no strict rules 7.93/2.02 7.93/2.02 ************************************************** 7.93/2.02 (7, 3)\TileAllROC{2}(112, 15)\Weight(89, 12)\Matrix{\Natural}{2}(12, 10)\Weight(4, 5)\TileRemoveROC{5}(2, 3)\Matrix{\Natural}{2}(0, 0)[] 7.93/2.02 ************************************************** 7.93/2.03 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))))))} 7.93/2.03 in Apply (Worker Remap) method 7.93/2.07 EOF