0.00/0.06 YES 0.00/0.06 property Termination 0.00/0.06 has value True 0.00/0.06 for SRS ( [b, c, b] -> [a, c, c], [c, b, b] -> [c, c, b], [c, a, a] ->= [c, b, b], [a, c, a] ->= [b, a, a], [a, c, b] ->= [b, a, c]) 0.00/0.06 reason 0.00/0.06 remap for 5 rules 0.00/0.06 property Termination 0.00/0.06 has value True 0.00/0.06 for SRS ( [0, 1, 0] -> [2, 1, 1], [1, 0, 0] -> [1, 1, 0], [1, 2, 2] ->= [1, 0, 0], [2, 1, 2] ->= [0, 2, 2], [2, 1, 0] ->= [0, 2, 1]) 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 15 tiles 0.00/0.06 [ [0, >] , [1, >] , [2, >] , [<, 0] , [0, 0] , [1, 0] , [2, 0] , [<, 1] , [0, 1] , [1, 1] , [2, 1] , [<, 2] , [0, 2] , [1, 2] , [2, 2] ] 0.00/0.06 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, 1], [1, 0], [0, >]] -> [[<, 2], [2, 1], [1, 1], [1, >]], [[<, 0], [0, 1], [1, 0], [0, 0]] -> [[<, 2], [2, 1], [1, 1], [1, 0]], [[<, 0], [0, 1], [1, 0], [0, 1]] -> [[<, 2], [2, 1], [1, 1], [1, 1]], [[<, 0], [0, 1], [1, 0], [0, 2]] -> [[<, 2], [2, 1], [1, 1], [1, 2]], [[0, 0], [0, 1], [1, 0], [0, >]] -> [[0, 2], [2, 1], [1, 1], [1, >]], [[0, 0], [0, 1], [1, 0], [0, 0]] -> [[0, 2], [2, 1], [1, 1], [1, 0]], [[0, 0], [0, 1], [1, 0], [0, 1]] -> [[0, 2], [2, 1], [1, 1], [1, 1]], [[0, 0], [0, 1], [1, 0], [0, 2]] -> [[0, 2], [2, 1], [1, 1], [1, 2]], [[1, 0], [0, 1], [1, 0], [0, >]] -> [[1, 2], [2, 1], [1, 1], [1, >]], [[1, 0], [0, 1], [1, 0], [0, 0]] -> [[1, 2], [2, 1], [1, 1], [1, 0]], [[1, 0], [0, 1], [1, 0], [0, 1]] -> [[1, 2], [2, 1], [1, 1], [1, 1]], [[1, 0], [0, 1], [1, 0], [0, 2]] -> [[1, 2], [2, 1], [1, 1], [1, 2]], [[2, 0], [0, 1], [1, 0], [0, >]] -> [[2, 2], [2, 1], [1, 1], [1, >]], [[2, 0], [0, 1], [1, 0], [0, 0]] -> [[2, 2], [2, 1], [1, 1], [1, 0]], [[2, 0], [0, 1], [1, 0], [0, 1]] -> [[2, 2], [2, 1], [1, 1], [1, 1]], [[2, 0], [0, 1], [1, 0], [0, 2]] -> [[2, 2], [2, 1], [1, 1], [1, 2]], [[<, 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, 0], [0, 1]] -> [[<, 1], [1, 1], [1, 0], [0, 1]], [[<, 1], [1, 0], [0, 0], [0, 2]] -> [[<, 1], [1, 1], [1, 0], [0, 2]], [[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, 0], [0, 1]] -> [[0, 1], [1, 1], [1, 0], [0, 1]], [[0, 1], [1, 0], [0, 0], [0, 2]] -> [[0, 1], [1, 1], [1, 0], [0, 2]], [[1, 1], [1, 0], [0, 0], [0, >]] -> [[1, 1], [1, 1], [1, 0], [0, >]], [[1, 1], [1, 0], [0, 0], [0, 0]] -> [[1, 1], [1, 1], [1, 0], [0, 0]], [[1, 1], [1, 0], [0, 0], [0, 1]] -> [[1, 1], [1, 1], [1, 0], [0, 1]], [[1, 1], [1, 0], [0, 0], [0, 2]] -> [[1, 1], [1, 1], [1, 0], [0, 2]], [[2, 1], [1, 0], [0, 0], [0, >]] -> [[2, 1], [1, 1], [1, 0], [0, >]], [[2, 1], [1, 0], [0, 0], [0, 0]] -> [[2, 1], [1, 1], [1, 0], [0, 0]], [[2, 1], [1, 0], [0, 0], [0, 1]] -> [[2, 1], [1, 1], [1, 0], [0, 1]], [[2, 1], [1, 0], [0, 0], [0, 2]] -> [[2, 1], [1, 1], [1, 0], [0, 2]], [[<, 1], [1, 2], [2, 2], [2, >]] ->= [[<, 1], [1, 0], [0, 0], [0, >]], [[<, 1], [1, 2], [2, 2], [2, 0]] ->= [[<, 1], [1, 0], [0, 0], [0, 0]], [[<, 1], [1, 2], [2, 2], [2, 1]] ->= [[<, 1], [1, 0], [0, 0], [0, 1]], [[<, 1], [1, 2], [2, 2], [2, 2]] ->= [[<, 1], [1, 0], [0, 0], [0, 2]], [[0, 1], [1, 2], [2, 2], [2, >]] ->= [[0, 1], [1, 0], [0, 0], [0, >]], [[0, 1], [1, 2], [2, 2], [2, 0]] ->= [[0, 1], [1, 0], [0, 0], [0, 0]], [[0, 1], [1, 2], [2, 2], [2, 1]] ->= [[0, 1], [1, 0], [0, 0], [0, 1]], [[0, 1], [1, 2], [2, 2], [2, 2]] ->= [[0, 1], [1, 0], [0, 0], [0, 2]], [[1, 1], [1, 2], [2, 2], [2, >]] ->= [[1, 1], [1, 0], [0, 0], [0, >]], [[1, 1], [1, 2], [2, 2], [2, 0]] ->= [[1, 1], [1, 0], [0, 0], [0, 0]], [[1, 1], [1, 2], [2, 2], [2, 1]] ->= [[1, 1], [1, 0], [0, 0], [0, 1]], [[1, 1], [1, 2], [2, 2], [2, 2]] ->= [[1, 1], [1, 0], [0, 0], [0, 2]], [[2, 1], [1, 2], [2, 2], [2, >]] ->= [[2, 1], [1, 0], [0, 0], [0, >]], [[2, 1], [1, 2], [2, 2], [2, 0]] ->= [[2, 1], [1, 0], [0, 0], [0, 0]], [[2, 1], [1, 2], [2, 2], [2, 1]] ->= [[2, 1], [1, 0], [0, 0], [0, 1]], [[2, 1], [1, 2], [2, 2], [2, 2]] ->= [[2, 1], [1, 0], [0, 0], [0, 2]], [[<, 2], [2, 1], [1, 2], [2, >]] ->= [[<, 0], [0, 2], [2, 2], [2, >]], [[<, 2], [2, 1], [1, 2], [2, 0]] ->= [[<, 0], [0, 2], [2, 2], [2, 0]], [[<, 2], [2, 1], [1, 2], [2, 1]] ->= [[<, 0], [0, 2], [2, 2], [2, 1]], [[<, 2], [2, 1], [1, 2], [2, 2]] ->= [[<, 0], [0, 2], [2, 2], [2, 2]], [[0, 2], [2, 1], [1, 2], [2, >]] ->= [[0, 0], [0, 2], [2, 2], [2, >]], [[0, 2], [2, 1], [1, 2], [2, 0]] ->= [[0, 0], [0, 2], [2, 2], [2, 0]], [[0, 2], [2, 1], [1, 2], [2, 1]] ->= [[0, 0], [0, 2], [2, 2], [2, 1]], [[0, 2], [2, 1], [1, 2], [2, 2]] ->= [[0, 0], [0, 2], [2, 2], [2, 2]], [[1, 2], [2, 1], [1, 2], [2, >]] ->= [[1, 0], [0, 2], [2, 2], [2, >]], [[1, 2], [2, 1], [1, 2], [2, 0]] ->= [[1, 0], [0, 2], [2, 2], [2, 0]], [[1, 2], [2, 1], [1, 2], [2, 1]] ->= [[1, 0], [0, 2], [2, 2], [2, 1]], [[1, 2], [2, 1], [1, 2], [2, 2]] ->= [[1, 0], [0, 2], [2, 2], [2, 2]], [[2, 2], [2, 1], [1, 2], [2, >]] ->= [[2, 0], [0, 2], [2, 2], [2, >]], [[2, 2], [2, 1], [1, 2], [2, 0]] ->= [[2, 0], [0, 2], [2, 2], [2, 0]], [[2, 2], [2, 1], [1, 2], [2, 1]] ->= [[2, 0], [0, 2], [2, 2], [2, 1]], [[2, 2], [2, 1], [1, 2], [2, 2]] ->= [[2, 0], [0, 2], [2, 2], [2, 2]], [[<, 2], [2, 1], [1, 0], [0, >]] ->= [[<, 0], [0, 2], [2, 1], [1, >]], [[<, 2], [2, 1], [1, 0], [0, 0]] ->= [[<, 0], [0, 2], [2, 1], [1, 0]], [[<, 2], [2, 1], [1, 0], [0, 1]] ->= [[<, 0], [0, 2], [2, 1], [1, 1]], [[<, 2], [2, 1], [1, 0], [0, 2]] ->= [[<, 0], [0, 2], [2, 1], [1, 2]], [[0, 2], [2, 1], [1, 0], [0, >]] ->= [[0, 0], [0, 2], [2, 1], [1, >]], [[0, 2], [2, 1], [1, 0], [0, 0]] ->= [[0, 0], [0, 2], [2, 1], [1, 0]], [[0, 2], [2, 1], [1, 0], [0, 1]] ->= [[0, 0], [0, 2], [2, 1], [1, 1]], [[0, 2], [2, 1], [1, 0], [0, 2]] ->= [[0, 0], [0, 2], [2, 1], [1, 2]], [[1, 2], [2, 1], [1, 0], [0, >]] ->= [[1, 0], [0, 2], [2, 1], [1, >]], [[1, 2], [2, 1], [1, 0], [0, 0]] ->= [[1, 0], [0, 2], [2, 1], [1, 0]], [[1, 2], [2, 1], [1, 0], [0, 1]] ->= [[1, 0], [0, 2], [2, 1], [1, 1]], [[1, 2], [2, 1], [1, 0], [0, 2]] ->= [[1, 0], [0, 2], [2, 1], [1, 2]], [[2, 2], [2, 1], [1, 0], [0, >]] ->= [[2, 0], [0, 2], [2, 1], [1, >]], [[2, 2], [2, 1], [1, 0], [0, 0]] ->= [[2, 0], [0, 2], [2, 1], [1, 0]], [[2, 2], [2, 1], [1, 0], [0, 1]] ->= [[2, 0], [0, 2], [2, 1], [1, 1]], [[2, 2], [2, 1], [1, 0], [0, 2]] ->= [[2, 0], [0, 2], [2, 1], [1, 2]]) 0.00/0.06 reason 0.00/0.06 remap for 80 rules 0.00/0.06 property Termination 0.00/0.06 has value True 0.00/0.06 for SRS ( [0, 1, 2, 3] -> [4, 5, 6, 7], [0, 1, 2, 8] -> [4, 5, 6, 2], [0, 1, 2, 1] -> [4, 5, 6, 6], [0, 1, 2, 9] -> [4, 5, 6, 10], [8, 1, 2, 3] -> [9, 5, 6, 7], [8, 1, 2, 8] -> [9, 5, 6, 2], [8, 1, 2, 1] -> [9, 5, 6, 6], [8, 1, 2, 9] -> [9, 5, 6, 10], [2, 1, 2, 3] -> [10, 5, 6, 7], [2, 1, 2, 8] -> [10, 5, 6, 2], [2, 1, 2, 1] -> [10, 5, 6, 6], [2, 1, 2, 9] -> [10, 5, 6, 10], [11, 1, 2, 3] -> [12, 5, 6, 7], [11, 1, 2, 8] -> [12, 5, 6, 2], [11, 1, 2, 1] -> [12, 5, 6, 6], [11, 1, 2, 9] -> [12, 5, 6, 10], [13, 2, 8, 3] -> [13, 6, 2, 3], [13, 2, 8, 8] -> [13, 6, 2, 8], [13, 2, 8, 1] -> [13, 6, 2, 1], [13, 2, 8, 9] -> [13, 6, 2, 9], [1, 2, 8, 3] -> [1, 6, 2, 3], [1, 2, 8, 8] -> [1, 6, 2, 8], [1, 2, 8, 1] -> [1, 6, 2, 1], [1, 2, 8, 9] -> [1, 6, 2, 9], [6, 2, 8, 3] -> [6, 6, 2, 3], [6, 2, 8, 8] -> [6, 6, 2, 8], [6, 2, 8, 1] -> [6, 6, 2, 1], [6, 2, 8, 9] -> [6, 6, 2, 9], [5, 2, 8, 3] -> [5, 6, 2, 3], [5, 2, 8, 8] -> [5, 6, 2, 8], [5, 2, 8, 1] -> [5, 6, 2, 1], [5, 2, 8, 9] -> [5, 6, 2, 9], [13, 10, 12, 14] ->= [13, 2, 8, 3], [13, 10, 12, 11] ->= [13, 2, 8, 8], [13, 10, 12, 5] ->= [13, 2, 8, 1], [13, 10, 12, 12] ->= [13, 2, 8, 9], [1, 10, 12, 14] ->= [1, 2, 8, 3], [1, 10, 12, 11] ->= [1, 2, 8, 8], [1, 10, 12, 5] ->= [1, 2, 8, 1], [1, 10, 12, 12] ->= [1, 2, 8, 9], [6, 10, 12, 14] ->= [6, 2, 8, 3], [6, 10, 12, 11] ->= [6, 2, 8, 8], [6, 10, 12, 5] ->= [6, 2, 8, 1], [6, 10, 12, 12] ->= [6, 2, 8, 9], [5, 10, 12, 14] ->= [5, 2, 8, 3], [5, 10, 12, 11] ->= [5, 2, 8, 8], [5, 10, 12, 5] ->= [5, 2, 8, 1], [5, 10, 12, 12] ->= [5, 2, 8, 9], [4, 5, 10, 14] ->= [0, 9, 12, 14], [4, 5, 10, 11] ->= [0, 9, 12, 11], [4, 5, 10, 5] ->= [0, 9, 12, 5], [4, 5, 10, 12] ->= [0, 9, 12, 12], [9, 5, 10, 14] ->= [8, 9, 12, 14], [9, 5, 10, 11] ->= [8, 9, 12, 11], [9, 5, 10, 5] ->= [8, 9, 12, 5], [9, 5, 10, 12] ->= [8, 9, 12, 12], [10, 5, 10, 14] ->= [2, 9, 12, 14], [10, 5, 10, 11] ->= [2, 9, 12, 11], [10, 5, 10, 5] ->= [2, 9, 12, 5], [10, 5, 10, 12] ->= [2, 9, 12, 12], [12, 5, 10, 14] ->= [11, 9, 12, 14], [12, 5, 10, 11] ->= [11, 9, 12, 11], [12, 5, 10, 5] ->= [11, 9, 12, 5], [12, 5, 10, 12] ->= [11, 9, 12, 12], [4, 5, 2, 3] ->= [0, 9, 5, 7], [4, 5, 2, 8] ->= [0, 9, 5, 2], [4, 5, 2, 1] ->= [0, 9, 5, 6], [4, 5, 2, 9] ->= [0, 9, 5, 10], [9, 5, 2, 3] ->= [8, 9, 5, 7], [9, 5, 2, 8] ->= [8, 9, 5, 2], [9, 5, 2, 1] ->= [8, 9, 5, 6], [9, 5, 2, 9] ->= [8, 9, 5, 10], [10, 5, 2, 3] ->= [2, 9, 5, 7], [10, 5, 2, 8] ->= [2, 9, 5, 2], [10, 5, 2, 1] ->= [2, 9, 5, 6], [10, 5, 2, 9] ->= [2, 9, 5, 10], [12, 5, 2, 3] ->= [11, 9, 5, 7], [12, 5, 2, 8] ->= [11, 9, 5, 2], [12, 5, 2, 1] ->= [11, 9, 5, 6], [12, 5, 2, 9] ->= [11, 9, 5, 10]) 0.00/0.06 reason 0.00/0.06 weights 0.00/0.06 Map [(1, 57/16), (2, 75/16), (3, 1/1), (4, 33/16), (5, 9/16), (8, 1/16), (10, 37/8), (11, 33/16), (12, 33/8), (14, 1/1)] 0.00/0.06 0.00/0.06 property Termination 0.00/0.06 has value True 0.00/0.06 for SRS ( [9, 5, 2, 8] ->= [8, 9, 5, 2], [9, 5, 2, 9] ->= [8, 9, 5, 10], [10, 5, 2, 8] ->= [2, 9, 5, 2], [10, 5, 2, 9] ->= [2, 9, 5, 10]) 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 5 rules on 3 letters Remap { tracing = False} 0.00/0.06 SRS with 5 rules on 3 letters tile all, by Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 0.00/0.06 SRS with 80 rules on 15 letters Remap { tracing = False} 0.00/0.06 SRS with 80 rules on 15 letters weights 0.00/0.06 SRS with 4 rules on 5 letters has no strict rules 0.00/0.06 0.00/0.06 ************************************************** 0.00/0.06 (5, 3)\TileAllROC{2}(80, 15)\Weight(4, 5)[] 0.00/0.06 ************************************************** 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 0.00/0.07 EOF