0.00/0.06 YES 0.00/0.06 property Termination 0.00/0.06 has value True 0.00/0.06 for SRS ( [c, c, c] -> [c, b, c], [b, b, c] -> [a, c, b], [b, a, b] -> [c, c, b], [b, a, a] ->= [a, a, b], [b, b, a] ->= [a, b, c], [b, b, a] ->= [a, a, c]) 0.00/0.06 reason 0.00/0.06 remap for 6 rules 0.00/0.06 property Termination 0.00/0.06 has value True 0.00/0.06 for SRS ( [0, 0, 0] -> [0, 1, 0], [1, 1, 0] -> [2, 0, 1], [1, 2, 1] -> [0, 0, 1], [1, 2, 2] ->= [2, 2, 1], [1, 1, 2] ->= [2, 1, 0], [1, 1, 2] ->= [2, 2, 0]) 0.00/0.06 reason 0.00/0.06 Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 0.00/0.06 using 13 tiles 0.00/0.06 [ [0, >] , [1, >] , [<, 0] , [0, 0] , [1, 0] , [2, 0] , [0, 1] , [1, 1] , [2, 1] , [<, 2] , [0, 2] , [1, 2] , [2, 2] ] 0.00/0.06 tile all rules 0.00/0.06 0.00/0.06 property Termination 0.00/0.06 has value True 0.00/0.06 for SRS ( [[<, 0], [0, 0], [0, 0], [0, >]] -> [[<, 0], [0, 1], [1, 0], [0, >]], [[<, 0], [0, 0], [0, 0], [0, 0]] -> [[<, 0], [0, 1], [1, 0], [0, 0]], [[<, 0], [0, 0], [0, 0], [0, 1]] -> [[<, 0], [0, 1], [1, 0], [0, 1]], [[<, 0], [0, 0], [0, 0], [0, 2]] -> [[<, 0], [0, 1], [1, 0], [0, 2]], [[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, 1], [1, 0], [0, 0]], [[0, 0], [0, 0], [0, 0], [0, 1]] -> [[0, 0], [0, 1], [1, 0], [0, 1]], [[0, 0], [0, 0], [0, 0], [0, 2]] -> [[0, 0], [0, 1], [1, 0], [0, 2]], [[1, 0], [0, 0], [0, 0], [0, >]] -> [[1, 0], [0, 1], [1, 0], [0, >]], [[1, 0], [0, 0], [0, 0], [0, 0]] -> [[1, 0], [0, 1], [1, 0], [0, 0]], [[1, 0], [0, 0], [0, 0], [0, 1]] -> [[1, 0], [0, 1], [1, 0], [0, 1]], [[1, 0], [0, 0], [0, 0], [0, 2]] -> [[1, 0], [0, 1], [1, 0], [0, 2]], [[2, 0], [0, 0], [0, 0], [0, >]] -> [[2, 0], [0, 1], [1, 0], [0, >]], [[2, 0], [0, 0], [0, 0], [0, 0]] -> [[2, 0], [0, 1], [1, 0], [0, 0]], [[2, 0], [0, 0], [0, 0], [0, 1]] -> [[2, 0], [0, 1], [1, 0], [0, 1]], [[2, 0], [0, 0], [0, 0], [0, 2]] -> [[2, 0], [0, 1], [1, 0], [0, 2]], [[0, 1], [1, 1], [1, 0], [0, >]] -> [[0, 2], [2, 0], [0, 1], [1, >]], [[0, 1], [1, 1], [1, 0], [0, 0]] -> [[0, 2], [2, 0], [0, 1], [1, 0]], [[0, 1], [1, 1], [1, 0], [0, 1]] -> [[0, 2], [2, 0], [0, 1], [1, 1]], [[0, 1], [1, 1], [1, 0], [0, 2]] -> [[0, 2], [2, 0], [0, 1], [1, 2]], [[1, 1], [1, 1], [1, 0], [0, >]] -> [[1, 2], [2, 0], [0, 1], [1, >]], [[1, 1], [1, 1], [1, 0], [0, 0]] -> [[1, 2], [2, 0], [0, 1], [1, 0]], [[1, 1], [1, 1], [1, 0], [0, 1]] -> [[1, 2], [2, 0], [0, 1], [1, 1]], [[1, 1], [1, 1], [1, 0], [0, 2]] -> [[1, 2], [2, 0], [0, 1], [1, 2]], [[2, 1], [1, 1], [1, 0], [0, >]] -> [[2, 2], [2, 0], [0, 1], [1, >]], [[2, 1], [1, 1], [1, 0], [0, 0]] -> [[2, 2], [2, 0], [0, 1], [1, 0]], [[2, 1], [1, 1], [1, 0], [0, 1]] -> [[2, 2], [2, 0], [0, 1], [1, 1]], [[2, 1], [1, 1], [1, 0], [0, 2]] -> [[2, 2], [2, 0], [0, 1], [1, 2]], [[0, 1], [1, 2], [2, 1], [1, >]] -> [[0, 0], [0, 0], [0, 1], [1, >]], [[0, 1], [1, 2], [2, 1], [1, 0]] -> [[0, 0], [0, 0], [0, 1], [1, 0]], [[0, 1], [1, 2], [2, 1], [1, 1]] -> [[0, 0], [0, 0], [0, 1], [1, 1]], [[0, 1], [1, 2], [2, 1], [1, 2]] -> [[0, 0], [0, 0], [0, 1], [1, 2]], [[1, 1], [1, 2], [2, 1], [1, >]] -> [[1, 0], [0, 0], [0, 1], [1, >]], [[1, 1], [1, 2], [2, 1], [1, 0]] -> [[1, 0], [0, 0], [0, 1], [1, 0]], [[1, 1], [1, 2], [2, 1], [1, 1]] -> [[1, 0], [0, 0], [0, 1], [1, 1]], [[1, 1], [1, 2], [2, 1], [1, 2]] -> [[1, 0], [0, 0], [0, 1], [1, 2]], [[2, 1], [1, 2], [2, 1], [1, >]] -> [[2, 0], [0, 0], [0, 1], [1, >]], [[2, 1], [1, 2], [2, 1], [1, 0]] -> [[2, 0], [0, 0], [0, 1], [1, 0]], [[2, 1], [1, 2], [2, 1], [1, 1]] -> [[2, 0], [0, 0], [0, 1], [1, 1]], [[2, 1], [1, 2], [2, 1], [1, 2]] -> [[2, 0], [0, 0], [0, 1], [1, 2]], [[0, 1], [1, 2], [2, 2], [2, 0]] ->= [[0, 2], [2, 2], [2, 1], [1, 0]], [[0, 1], [1, 2], [2, 2], [2, 1]] ->= [[0, 2], [2, 2], [2, 1], [1, 1]], [[0, 1], [1, 2], [2, 2], [2, 2]] ->= [[0, 2], [2, 2], [2, 1], [1, 2]], [[1, 1], [1, 2], [2, 2], [2, 0]] ->= [[1, 2], [2, 2], [2, 1], [1, 0]], [[1, 1], [1, 2], [2, 2], [2, 1]] ->= [[1, 2], [2, 2], [2, 1], [1, 1]], [[1, 1], [1, 2], [2, 2], [2, 2]] ->= [[1, 2], [2, 2], [2, 1], [1, 2]], [[2, 1], [1, 2], [2, 2], [2, 0]] ->= [[2, 2], [2, 2], [2, 1], [1, 0]], [[2, 1], [1, 2], [2, 2], [2, 1]] ->= [[2, 2], [2, 2], [2, 1], [1, 1]], [[2, 1], [1, 2], [2, 2], [2, 2]] ->= [[2, 2], [2, 2], [2, 1], [1, 2]], [[0, 1], [1, 1], [1, 2], [2, 0]] ->= [[0, 2], [2, 1], [1, 0], [0, 0]], [[0, 1], [1, 1], [1, 2], [2, 1]] ->= [[0, 2], [2, 1], [1, 0], [0, 1]], [[0, 1], [1, 1], [1, 2], [2, 2]] ->= [[0, 2], [2, 1], [1, 0], [0, 2]], [[1, 1], [1, 1], [1, 2], [2, 0]] ->= [[1, 2], [2, 1], [1, 0], [0, 0]], [[1, 1], [1, 1], [1, 2], [2, 1]] ->= [[1, 2], [2, 1], [1, 0], [0, 1]], [[1, 1], [1, 1], [1, 2], [2, 2]] ->= [[1, 2], [2, 1], [1, 0], [0, 2]], [[2, 1], [1, 1], [1, 2], [2, 0]] ->= [[2, 2], [2, 1], [1, 0], [0, 0]], [[2, 1], [1, 1], [1, 2], [2, 1]] ->= [[2, 2], [2, 1], [1, 0], [0, 1]], [[2, 1], [1, 1], [1, 2], [2, 2]] ->= [[2, 2], [2, 1], [1, 0], [0, 2]], [[0, 1], [1, 1], [1, 2], [2, 0]] ->= [[0, 2], [2, 2], [2, 0], [0, 0]], [[0, 1], [1, 1], [1, 2], [2, 1]] ->= [[0, 2], [2, 2], [2, 0], [0, 1]], [[0, 1], [1, 1], [1, 2], [2, 2]] ->= [[0, 2], [2, 2], [2, 0], [0, 2]], [[1, 1], [1, 1], [1, 2], [2, 0]] ->= [[1, 2], [2, 2], [2, 0], [0, 0]], [[1, 1], [1, 1], [1, 2], [2, 1]] ->= [[1, 2], [2, 2], [2, 0], [0, 1]], [[1, 1], [1, 1], [1, 2], [2, 2]] ->= [[1, 2], [2, 2], [2, 0], [0, 2]], [[2, 1], [1, 1], [1, 2], [2, 0]] ->= [[2, 2], [2, 2], [2, 0], [0, 0]], [[2, 1], [1, 1], [1, 2], [2, 1]] ->= [[2, 2], [2, 2], [2, 0], [0, 1]], [[2, 1], [1, 1], [1, 2], [2, 2]] ->= [[2, 2], [2, 2], [2, 0], [0, 2]]) 0.00/0.06 reason 0.00/0.06 remap for 67 rules 0.00/0.06 property Termination 0.00/0.06 has value True 0.00/0.06 for SRS ( [0, 1, 1, 2] -> [0, 3, 4, 2], [0, 1, 1, 1] -> [0, 3, 4, 1], [0, 1, 1, 3] -> [0, 3, 4, 3], [0, 1, 1, 5] -> [0, 3, 4, 5], [1, 1, 1, 2] -> [1, 3, 4, 2], [1, 1, 1, 1] -> [1, 3, 4, 1], [1, 1, 1, 3] -> [1, 3, 4, 3], [1, 1, 1, 5] -> [1, 3, 4, 5], [4, 1, 1, 2] -> [4, 3, 4, 2], [4, 1, 1, 1] -> [4, 3, 4, 1], [4, 1, 1, 3] -> [4, 3, 4, 3], [4, 1, 1, 5] -> [4, 3, 4, 5], [6, 1, 1, 2] -> [6, 3, 4, 2], [6, 1, 1, 1] -> [6, 3, 4, 1], [6, 1, 1, 3] -> [6, 3, 4, 3], [6, 1, 1, 5] -> [6, 3, 4, 5], [3, 7, 4, 2] -> [5, 6, 3, 8], [3, 7, 4, 1] -> [5, 6, 3, 4], [3, 7, 4, 3] -> [5, 6, 3, 7], [3, 7, 4, 5] -> [5, 6, 3, 9], [7, 7, 4, 2] -> [9, 6, 3, 8], [7, 7, 4, 1] -> [9, 6, 3, 4], [7, 7, 4, 3] -> [9, 6, 3, 7], [7, 7, 4, 5] -> [9, 6, 3, 9], [10, 7, 4, 2] -> [11, 6, 3, 8], [10, 7, 4, 1] -> [11, 6, 3, 4], [10, 7, 4, 3] -> [11, 6, 3, 7], [10, 7, 4, 5] -> [11, 6, 3, 9], [3, 9, 10, 8] -> [1, 1, 3, 8], [3, 9, 10, 4] -> [1, 1, 3, 4], [3, 9, 10, 7] -> [1, 1, 3, 7], [3, 9, 10, 9] -> [1, 1, 3, 9], [7, 9, 10, 8] -> [4, 1, 3, 8], [7, 9, 10, 4] -> [4, 1, 3, 4], [7, 9, 10, 7] -> [4, 1, 3, 7], [7, 9, 10, 9] -> [4, 1, 3, 9], [10, 9, 10, 8] -> [6, 1, 3, 8], [10, 9, 10, 4] -> [6, 1, 3, 4], [10, 9, 10, 7] -> [6, 1, 3, 7], [10, 9, 10, 9] -> [6, 1, 3, 9], [3, 9, 11, 6] ->= [5, 11, 10, 4], [3, 9, 11, 10] ->= [5, 11, 10, 7], [3, 9, 11, 11] ->= [5, 11, 10, 9], [7, 9, 11, 6] ->= [9, 11, 10, 4], [7, 9, 11, 10] ->= [9, 11, 10, 7], [7, 9, 11, 11] ->= [9, 11, 10, 9], [10, 9, 11, 6] ->= [11, 11, 10, 4], [10, 9, 11, 10] ->= [11, 11, 10, 7], [10, 9, 11, 11] ->= [11, 11, 10, 9], [3, 7, 9, 6] ->= [5, 10, 4, 1], [3, 7, 9, 10] ->= [5, 10, 4, 3], [3, 7, 9, 11] ->= [5, 10, 4, 5], [7, 7, 9, 6] ->= [9, 10, 4, 1], [7, 7, 9, 10] ->= [9, 10, 4, 3], [7, 7, 9, 11] ->= [9, 10, 4, 5], [10, 7, 9, 6] ->= [11, 10, 4, 1], [10, 7, 9, 10] ->= [11, 10, 4, 3], [10, 7, 9, 11] ->= [11, 10, 4, 5], [3, 7, 9, 6] ->= [5, 11, 6, 1], [3, 7, 9, 10] ->= [5, 11, 6, 3], [3, 7, 9, 11] ->= [5, 11, 6, 5], [7, 7, 9, 6] ->= [9, 11, 6, 1], [7, 7, 9, 10] ->= [9, 11, 6, 3], [7, 7, 9, 11] ->= [9, 11, 6, 5], [10, 7, 9, 6] ->= [11, 11, 6, 1], [10, 7, 9, 10] ->= [11, 11, 6, 3], [10, 7, 9, 11] ->= [11, 11, 6, 5]) 0.00/0.06 reason 0.00/0.06 weights 0.00/0.06 Map [(1, 3/1), (2, 1/1), (3, 2/1), (4, 3/1), (7, 9/1), (9, 9/1)] 0.00/0.06 0.00/0.06 property Termination 0.00/0.06 has value True 0.00/0.06 for SRS ( [7, 9, 11, 10] ->= [9, 11, 10, 7], [7, 9, 11, 11] ->= [9, 11, 10, 9], [10, 9, 11, 10] ->= [11, 11, 10, 7], [10, 9, 11, 11] ->= [11, 11, 10, 9]) 0.00/0.06 reason 0.00/0.06 has no strict rules 0.00/0.06 0.00/0.06 ************************************************** 0.00/0.06 summary 0.00/0.06 ************************************************** 0.00/0.06 SRS with 6 rules on 3 letters Remap { tracing = False} 0.00/0.07 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} 0.00/0.07 SRS with 67 rules on 12 letters Remap { tracing = False} 0.00/0.07 SRS with 67 rules on 12 letters weights 0.00/0.07 SRS with 4 rules on 4 letters has no strict rules 0.00/0.07 0.00/0.07 ************************************************** 0.00/0.07 (6, 3)\TileAllROC{2}(67, 12)\Weight(4, 4)[] 0.00/0.07 ************************************************** 0.00/0.07 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))))))} 0.00/0.07 in Apply (Worker Remap) method 0.00/0.08 EOF