0.00/0.07 YES 0.00/0.07 property Termination 0.00/0.07 has value True 0.00/0.07 for SRS ( [b, c, a] -> [a, b, a], [a, a, a] -> [c, c, c], [a, a, a] -> [a, b, a], [c, c, a] ->= [c, a, c], [b, a, b] ->= [b, c, c], [c, a, b] ->= [a, c, b]) 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, 1, 2] -> [2, 0, 2], [2, 2, 2] -> [1, 1, 1], [2, 2, 2] -> [2, 0, 2], [1, 1, 2] ->= [1, 2, 1], [0, 2, 0] ->= [0, 1, 1], [1, 2, 0] ->= [2, 1, 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 14 tiles 0.00/0.07 [ [0, >] , [1, >] , [2, >] , [<, 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 0.00/0.07 for SRS ( [[<, 0], [0, 1], [1, 2], [2, >]] -> [[<, 2], [2, 0], [0, 2], [2, >]], [[<, 0], [0, 1], [1, 2], [2, 0]] -> [[<, 2], [2, 0], [0, 2], [2, 0]], [[<, 0], [0, 1], [1, 2], [2, 1]] -> [[<, 2], [2, 0], [0, 2], [2, 1]], [[<, 0], [0, 1], [1, 2], [2, 2]] -> [[<, 2], [2, 0], [0, 2], [2, 2]], [[1, 0], [0, 1], [1, 2], [2, >]] -> [[1, 2], [2, 0], [0, 2], [2, >]], [[1, 0], [0, 1], [1, 2], [2, 0]] -> [[1, 2], [2, 0], [0, 2], [2, 0]], [[1, 0], [0, 1], [1, 2], [2, 1]] -> [[1, 2], [2, 0], [0, 2], [2, 1]], [[1, 0], [0, 1], [1, 2], [2, 2]] -> [[1, 2], [2, 0], [0, 2], [2, 2]], [[2, 0], [0, 1], [1, 2], [2, >]] -> [[2, 2], [2, 0], [0, 2], [2, >]], [[2, 0], [0, 1], [1, 2], [2, 0]] -> [[2, 2], [2, 0], [0, 2], [2, 0]], [[2, 0], [0, 1], [1, 2], [2, 1]] -> [[2, 2], [2, 0], [0, 2], [2, 1]], [[2, 0], [0, 1], [1, 2], [2, 2]] -> [[2, 2], [2, 0], [0, 2], [2, 2]], [[<, 2], [2, 2], [2, 2], [2, >]] -> [[<, 1], [1, 1], [1, 1], [1, >]], [[<, 2], [2, 2], [2, 2], [2, 0]] -> [[<, 1], [1, 1], [1, 1], [1, 0]], [[<, 2], [2, 2], [2, 2], [2, 1]] -> [[<, 1], [1, 1], [1, 1], [1, 1]], [[<, 2], [2, 2], [2, 2], [2, 2]] -> [[<, 1], [1, 1], [1, 1], [1, 2]], [[0, 2], [2, 2], [2, 2], [2, >]] -> [[0, 1], [1, 1], [1, 1], [1, >]], [[0, 2], [2, 2], [2, 2], [2, 0]] -> [[0, 1], [1, 1], [1, 1], [1, 0]], [[0, 2], [2, 2], [2, 2], [2, 1]] -> [[0, 1], [1, 1], [1, 1], [1, 1]], [[0, 2], [2, 2], [2, 2], [2, 2]] -> [[0, 1], [1, 1], [1, 1], [1, 2]], [[1, 2], [2, 2], [2, 2], [2, >]] -> [[1, 1], [1, 1], [1, 1], [1, >]], [[1, 2], [2, 2], [2, 2], [2, 0]] -> [[1, 1], [1, 1], [1, 1], [1, 0]], [[1, 2], [2, 2], [2, 2], [2, 1]] -> [[1, 1], [1, 1], [1, 1], [1, 1]], [[1, 2], [2, 2], [2, 2], [2, 2]] -> [[1, 1], [1, 1], [1, 1], [1, 2]], [[2, 2], [2, 2], [2, 2], [2, >]] -> [[2, 1], [1, 1], [1, 1], [1, >]], [[2, 2], [2, 2], [2, 2], [2, 0]] -> [[2, 1], [1, 1], [1, 1], [1, 0]], [[2, 2], [2, 2], [2, 2], [2, 1]] -> [[2, 1], [1, 1], [1, 1], [1, 1]], [[2, 2], [2, 2], [2, 2], [2, 2]] -> [[2, 1], [1, 1], [1, 1], [1, 2]], [[<, 2], [2, 2], [2, 2], [2, >]] -> [[<, 2], [2, 0], [0, 2], [2, >]], [[<, 2], [2, 2], [2, 2], [2, 0]] -> [[<, 2], [2, 0], [0, 2], [2, 0]], [[<, 2], [2, 2], [2, 2], [2, 1]] -> [[<, 2], [2, 0], [0, 2], [2, 1]], [[<, 2], [2, 2], [2, 2], [2, 2]] -> [[<, 2], [2, 0], [0, 2], [2, 2]], [[0, 2], [2, 2], [2, 2], [2, >]] -> [[0, 2], [2, 0], [0, 2], [2, >]], [[0, 2], [2, 2], [2, 2], [2, 0]] -> [[0, 2], [2, 0], [0, 2], [2, 0]], [[0, 2], [2, 2], [2, 2], [2, 1]] -> [[0, 2], [2, 0], [0, 2], [2, 1]], [[0, 2], [2, 2], [2, 2], [2, 2]] -> [[0, 2], [2, 0], [0, 2], [2, 2]], [[1, 2], [2, 2], [2, 2], [2, >]] -> [[1, 2], [2, 0], [0, 2], [2, >]], [[1, 2], [2, 2], [2, 2], [2, 0]] -> [[1, 2], [2, 0], [0, 2], [2, 0]], [[1, 2], [2, 2], [2, 2], [2, 1]] -> [[1, 2], [2, 0], [0, 2], [2, 1]], [[1, 2], [2, 2], [2, 2], [2, 2]] -> [[1, 2], [2, 0], [0, 2], [2, 2]], [[2, 2], [2, 2], [2, 2], [2, >]] -> [[2, 2], [2, 0], [0, 2], [2, >]], [[2, 2], [2, 2], [2, 2], [2, 0]] -> [[2, 2], [2, 0], [0, 2], [2, 0]], [[2, 2], [2, 2], [2, 2], [2, 1]] -> [[2, 2], [2, 0], [0, 2], [2, 1]], [[2, 2], [2, 2], [2, 2], [2, 2]] -> [[2, 2], [2, 0], [0, 2], [2, 2]], [[<, 1], [1, 1], [1, 2], [2, >]] ->= [[<, 1], [1, 2], [2, 1], [1, >]], [[<, 1], [1, 1], [1, 2], [2, 0]] ->= [[<, 1], [1, 2], [2, 1], [1, 0]], [[<, 1], [1, 1], [1, 2], [2, 1]] ->= [[<, 1], [1, 2], [2, 1], [1, 1]], [[<, 1], [1, 1], [1, 2], [2, 2]] ->= [[<, 1], [1, 2], [2, 1], [1, 2]], [[0, 1], [1, 1], [1, 2], [2, >]] ->= [[0, 1], [1, 2], [2, 1], [1, >]], [[0, 1], [1, 1], [1, 2], [2, 0]] ->= [[0, 1], [1, 2], [2, 1], [1, 0]], [[0, 1], [1, 1], [1, 2], [2, 1]] ->= [[0, 1], [1, 2], [2, 1], [1, 1]], [[0, 1], [1, 1], [1, 2], [2, 2]] ->= [[0, 1], [1, 2], [2, 1], [1, 2]], [[1, 1], [1, 1], [1, 2], [2, >]] ->= [[1, 1], [1, 2], [2, 1], [1, >]], [[1, 1], [1, 1], [1, 2], [2, 0]] ->= [[1, 1], [1, 2], [2, 1], [1, 0]], [[1, 1], [1, 1], [1, 2], [2, 1]] ->= [[1, 1], [1, 2], [2, 1], [1, 1]], [[1, 1], [1, 1], [1, 2], [2, 2]] ->= [[1, 1], [1, 2], [2, 1], [1, 2]], [[2, 1], [1, 1], [1, 2], [2, >]] ->= [[2, 1], [1, 2], [2, 1], [1, >]], [[2, 1], [1, 1], [1, 2], [2, 0]] ->= [[2, 1], [1, 2], [2, 1], [1, 0]], [[2, 1], [1, 1], [1, 2], [2, 1]] ->= [[2, 1], [1, 2], [2, 1], [1, 1]], [[2, 1], [1, 1], [1, 2], [2, 2]] ->= [[2, 1], [1, 2], [2, 1], [1, 2]], [[<, 0], [0, 2], [2, 0], [0, >]] ->= [[<, 0], [0, 1], [1, 1], [1, >]], [[<, 0], [0, 2], [2, 0], [0, 1]] ->= [[<, 0], [0, 1], [1, 1], [1, 1]], [[<, 0], [0, 2], [2, 0], [0, 2]] ->= [[<, 0], [0, 1], [1, 1], [1, 2]], [[1, 0], [0, 2], [2, 0], [0, >]] ->= [[1, 0], [0, 1], [1, 1], [1, >]], [[1, 0], [0, 2], [2, 0], [0, 1]] ->= [[1, 0], [0, 1], [1, 1], [1, 1]], [[1, 0], [0, 2], [2, 0], [0, 2]] ->= [[1, 0], [0, 1], [1, 1], [1, 2]], [[2, 0], [0, 2], [2, 0], [0, >]] ->= [[2, 0], [0, 1], [1, 1], [1, >]], [[2, 0], [0, 2], [2, 0], [0, 1]] ->= [[2, 0], [0, 1], [1, 1], [1, 1]], [[2, 0], [0, 2], [2, 0], [0, 2]] ->= [[2, 0], [0, 1], [1, 1], [1, 2]], [[<, 1], [1, 2], [2, 0], [0, >]] ->= [[<, 2], [2, 1], [1, 0], [0, >]], [[<, 1], [1, 2], [2, 0], [0, 1]] ->= [[<, 2], [2, 1], [1, 0], [0, 1]], [[<, 1], [1, 2], [2, 0], [0, 2]] ->= [[<, 2], [2, 1], [1, 0], [0, 2]], [[0, 1], [1, 2], [2, 0], [0, >]] ->= [[0, 2], [2, 1], [1, 0], [0, >]], [[0, 1], [1, 2], [2, 0], [0, 1]] ->= [[0, 2], [2, 1], [1, 0], [0, 1]], [[0, 1], [1, 2], [2, 0], [0, 2]] ->= [[0, 2], [2, 1], [1, 0], [0, 2]], [[1, 1], [1, 2], [2, 0], [0, >]] ->= [[1, 2], [2, 1], [1, 0], [0, >]], [[1, 1], [1, 2], [2, 0], [0, 1]] ->= [[1, 2], [2, 1], [1, 0], [0, 1]], [[1, 1], [1, 2], [2, 0], [0, 2]] ->= [[1, 2], [2, 1], [1, 0], [0, 2]], [[2, 1], [1, 2], [2, 0], [0, >]] ->= [[2, 2], [2, 1], [1, 0], [0, >]], [[2, 1], [1, 2], [2, 0], [0, 1]] ->= [[2, 2], [2, 1], [1, 0], [0, 1]], [[2, 1], [1, 2], [2, 0], [0, 2]] ->= [[2, 2], [2, 1], [1, 0], [0, 2]]) 0.00/0.07 reason 0.00/0.07 remap for 81 rules 0.00/0.07 property Termination 0.00/0.07 has value True 0.00/0.07 for SRS ( [0, 1, 2, 3] -> [4, 5, 6, 3], [0, 1, 2, 5] -> [4, 5, 6, 5], [0, 1, 2, 7] -> [4, 5, 6, 7], [0, 1, 2, 8] -> [4, 5, 6, 8], [9, 1, 2, 3] -> [2, 5, 6, 3], [9, 1, 2, 5] -> [2, 5, 6, 5], [9, 1, 2, 7] -> [2, 5, 6, 7], [9, 1, 2, 8] -> [2, 5, 6, 8], [5, 1, 2, 3] -> [8, 5, 6, 3], [5, 1, 2, 5] -> [8, 5, 6, 5], [5, 1, 2, 7] -> [8, 5, 6, 7], [5, 1, 2, 8] -> [8, 5, 6, 8], [4, 8, 8, 3] -> [10, 11, 11, 12], [4, 8, 8, 5] -> [10, 11, 11, 9], [4, 8, 8, 7] -> [10, 11, 11, 11], [4, 8, 8, 8] -> [10, 11, 11, 2], [6, 8, 8, 3] -> [1, 11, 11, 12], [6, 8, 8, 5] -> [1, 11, 11, 9], [6, 8, 8, 7] -> [1, 11, 11, 11], [6, 8, 8, 8] -> [1, 11, 11, 2], [2, 8, 8, 3] -> [11, 11, 11, 12], [2, 8, 8, 5] -> [11, 11, 11, 9], [2, 8, 8, 7] -> [11, 11, 11, 11], [2, 8, 8, 8] -> [11, 11, 11, 2], [8, 8, 8, 3] -> [7, 11, 11, 12], [8, 8, 8, 5] -> [7, 11, 11, 9], [8, 8, 8, 7] -> [7, 11, 11, 11], [8, 8, 8, 8] -> [7, 11, 11, 2], [4, 8, 8, 3] -> [4, 5, 6, 3], [4, 8, 8, 5] -> [4, 5, 6, 5], [4, 8, 8, 7] -> [4, 5, 6, 7], [4, 8, 8, 8] -> [4, 5, 6, 8], [6, 8, 8, 3] -> [6, 5, 6, 3], [6, 8, 8, 5] -> [6, 5, 6, 5], [6, 8, 8, 7] -> [6, 5, 6, 7], [6, 8, 8, 8] -> [6, 5, 6, 8], [2, 8, 8, 3] -> [2, 5, 6, 3], [2, 8, 8, 5] -> [2, 5, 6, 5], [2, 8, 8, 7] -> [2, 5, 6, 7], [2, 8, 8, 8] -> [2, 5, 6, 8], [8, 8, 8, 3] -> [8, 5, 6, 3], [8, 8, 8, 5] -> [8, 5, 6, 5], [8, 8, 8, 7] -> [8, 5, 6, 7], [8, 8, 8, 8] -> [8, 5, 6, 8], [10, 11, 2, 3] ->= [10, 2, 7, 12], [10, 11, 2, 5] ->= [10, 2, 7, 9], [10, 11, 2, 7] ->= [10, 2, 7, 11], [10, 11, 2, 8] ->= [10, 2, 7, 2], [1, 11, 2, 3] ->= [1, 2, 7, 12], [1, 11, 2, 5] ->= [1, 2, 7, 9], [1, 11, 2, 7] ->= [1, 2, 7, 11], [1, 11, 2, 8] ->= [1, 2, 7, 2], [11, 11, 2, 3] ->= [11, 2, 7, 12], [11, 11, 2, 5] ->= [11, 2, 7, 9], [11, 11, 2, 7] ->= [11, 2, 7, 11], [11, 11, 2, 8] ->= [11, 2, 7, 2], [7, 11, 2, 3] ->= [7, 2, 7, 12], [7, 11, 2, 5] ->= [7, 2, 7, 9], [7, 11, 2, 7] ->= [7, 2, 7, 11], [7, 11, 2, 8] ->= [7, 2, 7, 2], [0, 6, 5, 13] ->= [0, 1, 11, 12], [0, 6, 5, 1] ->= [0, 1, 11, 11], [0, 6, 5, 6] ->= [0, 1, 11, 2], [9, 6, 5, 13] ->= [9, 1, 11, 12], [9, 6, 5, 1] ->= [9, 1, 11, 11], [9, 6, 5, 6] ->= [9, 1, 11, 2], [5, 6, 5, 13] ->= [5, 1, 11, 12], [5, 6, 5, 1] ->= [5, 1, 11, 11], [5, 6, 5, 6] ->= [5, 1, 11, 2], [10, 2, 5, 13] ->= [4, 7, 9, 13], [10, 2, 5, 1] ->= [4, 7, 9, 1], [10, 2, 5, 6] ->= [4, 7, 9, 6], [1, 2, 5, 13] ->= [6, 7, 9, 13], [1, 2, 5, 1] ->= [6, 7, 9, 1], [1, 2, 5, 6] ->= [6, 7, 9, 6], [11, 2, 5, 13] ->= [2, 7, 9, 13], [11, 2, 5, 1] ->= [2, 7, 9, 1], [11, 2, 5, 6] ->= [2, 7, 9, 6], [7, 2, 5, 13] ->= [8, 7, 9, 13], [7, 2, 5, 1] ->= [8, 7, 9, 1], [7, 2, 5, 6] ->= [8, 7, 9, 6]) 0.00/0.07 reason 0.00/0.07 weights 0.00/0.07 Map [(0, 28/3), (1, 17/1), (3, 56/3), (5, 20/1), (6, 3/1), (8, 12/1), (9, 7/1), (13, 7/1)] 0.00/0.07 0.00/0.07 property Termination 0.00/0.07 has value True 0.00/0.07 for SRS ( [10, 11, 2, 7] ->= [10, 2, 7, 11], [1, 11, 2, 7] ->= [1, 2, 7, 11], [11, 11, 2, 7] ->= [11, 2, 7, 11], [7, 11, 2, 7] ->= [7, 2, 7, 11]) 0.00/0.07 reason 0.00/0.07 has no strict rules 0.00/0.07 0.00/0.07 ************************************************** 0.00/0.07 summary 0.00/0.07 ************************************************** 0.00/0.07 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 81 rules on 14 letters Remap { tracing = False} 0.00/0.08 SRS with 81 rules on 14 letters weights 0.00/0.08 SRS with 4 rules on 5 letters has no strict rules 0.00/0.08 0.00/0.08 ************************************************** 0.00/0.08 (6, 3)\TileAllROC{2}(81, 14)\Weight(4, 5)[] 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 0.00/0.08 EOF