0.00/0.03 YES 0.00/0.03 property Termination 0.00/0.03 has value True 0.00/0.03 for SRS ( [a, a, a] -> [c, b, b], [a, a, a] -> [a, c, a], [c, c, b] -> [c, a, b], [b, c, a] ->= [c, b, a], [a, c, c] ->= [a, b, c], [a, b, a] ->= [b, a, a]) 0.00/0.03 reason 0.00/0.03 remap for 6 rules 0.00/0.03 property Termination 0.00/0.03 has value True 0.00/0.03 for SRS ( [0, 0, 0] -> [1, 2, 2], [0, 0, 0] -> [0, 1, 0], [1, 1, 2] -> [1, 0, 2], [2, 1, 0] ->= [1, 2, 0], [0, 1, 1] ->= [0, 2, 1], [0, 2, 0] ->= [2, 0, 0]) 0.00/0.03 reason 0.00/0.03 weights 0.00/0.03 Map [(0, 1/3), (1, 1/3)] 0.00/0.03 0.00/0.03 property Termination 0.00/0.03 has value True 0.00/0.03 for SRS ( [0, 0, 0] -> [0, 1, 0], [1, 1, 2] -> [1, 0, 2], [2, 1, 0] ->= [1, 2, 0], [0, 2, 0] ->= [2, 0, 0]) 0.00/0.03 reason 0.00/0.03 Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 0.00/0.03 using 14 tiles 0.00/0.03 [ [0, >] , [2, >] , [<, 0] , [0, 0] , [1, 0] , [2, 0] , [<, 1] , [0, 1] , [1, 1] , [2, 1] , [<, 2] , [0, 2] , [1, 2] , [2, 2] ] 0.00/0.03 tile all rules 0.00/0.03 0.00/0.03 property Termination 0.00/0.03 has value True 0.00/0.04 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]], [[<, 1], [1, 1], [1, 2], [2, >]] -> [[<, 1], [1, 0], [0, 2], [2, >]], [[<, 1], [1, 1], [1, 2], [2, 0]] -> [[<, 1], [1, 0], [0, 2], [2, 0]], [[<, 1], [1, 1], [1, 2], [2, 1]] -> [[<, 1], [1, 0], [0, 2], [2, 1]], [[<, 1], [1, 1], [1, 2], [2, 2]] -> [[<, 1], [1, 0], [0, 2], [2, 2]], [[0, 1], [1, 1], [1, 2], [2, >]] -> [[0, 1], [1, 0], [0, 2], [2, >]], [[0, 1], [1, 1], [1, 2], [2, 0]] -> [[0, 1], [1, 0], [0, 2], [2, 0]], [[0, 1], [1, 1], [1, 2], [2, 1]] -> [[0, 1], [1, 0], [0, 2], [2, 1]], [[0, 1], [1, 1], [1, 2], [2, 2]] -> [[0, 1], [1, 0], [0, 2], [2, 2]], [[1, 1], [1, 1], [1, 2], [2, >]] -> [[1, 1], [1, 0], [0, 2], [2, >]], [[1, 1], [1, 1], [1, 2], [2, 0]] -> [[1, 1], [1, 0], [0, 2], [2, 0]], [[1, 1], [1, 1], [1, 2], [2, 1]] -> [[1, 1], [1, 0], [0, 2], [2, 1]], [[1, 1], [1, 1], [1, 2], [2, 2]] -> [[1, 1], [1, 0], [0, 2], [2, 2]], [[2, 1], [1, 1], [1, 2], [2, >]] -> [[2, 1], [1, 0], [0, 2], [2, >]], [[2, 1], [1, 1], [1, 2], [2, 0]] -> [[2, 1], [1, 0], [0, 2], [2, 0]], [[2, 1], [1, 1], [1, 2], [2, 1]] -> [[2, 1], [1, 0], [0, 2], [2, 1]], [[2, 1], [1, 1], [1, 2], [2, 2]] -> [[2, 1], [1, 0], [0, 2], [2, 2]], [[<, 2], [2, 1], [1, 0], [0, >]] ->= [[<, 1], [1, 2], [2, 0], [0, >]], [[<, 2], [2, 1], [1, 0], [0, 0]] ->= [[<, 1], [1, 2], [2, 0], [0, 0]], [[<, 2], [2, 1], [1, 0], [0, 1]] ->= [[<, 1], [1, 2], [2, 0], [0, 1]], [[<, 2], [2, 1], [1, 0], [0, 2]] ->= [[<, 1], [1, 2], [2, 0], [0, 2]], [[0, 2], [2, 1], [1, 0], [0, >]] ->= [[0, 1], [1, 2], [2, 0], [0, >]], [[0, 2], [2, 1], [1, 0], [0, 0]] ->= [[0, 1], [1, 2], [2, 0], [0, 0]], [[0, 2], [2, 1], [1, 0], [0, 1]] ->= [[0, 1], [1, 2], [2, 0], [0, 1]], [[0, 2], [2, 1], [1, 0], [0, 2]] ->= [[0, 1], [1, 2], [2, 0], [0, 2]], [[1, 2], [2, 1], [1, 0], [0, >]] ->= [[1, 1], [1, 2], [2, 0], [0, >]], [[1, 2], [2, 1], [1, 0], [0, 0]] ->= [[1, 1], [1, 2], [2, 0], [0, 0]], [[1, 2], [2, 1], [1, 0], [0, 1]] ->= [[1, 1], [1, 2], [2, 0], [0, 1]], [[1, 2], [2, 1], [1, 0], [0, 2]] ->= [[1, 1], [1, 2], [2, 0], [0, 2]], [[2, 2], [2, 1], [1, 0], [0, >]] ->= [[2, 1], [1, 2], [2, 0], [0, >]], [[2, 2], [2, 1], [1, 0], [0, 0]] ->= [[2, 1], [1, 2], [2, 0], [0, 0]], [[2, 2], [2, 1], [1, 0], [0, 1]] ->= [[2, 1], [1, 2], [2, 0], [0, 1]], [[2, 2], [2, 1], [1, 0], [0, 2]] ->= [[2, 1], [1, 2], [2, 0], [0, 2]], [[<, 0], [0, 2], [2, 0], [0, >]] ->= [[<, 2], [2, 0], [0, 0], [0, >]], [[<, 0], [0, 2], [2, 0], [0, 0]] ->= [[<, 2], [2, 0], [0, 0], [0, 0]], [[<, 0], [0, 2], [2, 0], [0, 1]] ->= [[<, 2], [2, 0], [0, 0], [0, 1]], [[<, 0], [0, 2], [2, 0], [0, 2]] ->= [[<, 2], [2, 0], [0, 0], [0, 2]], [[0, 0], [0, 2], [2, 0], [0, >]] ->= [[0, 2], [2, 0], [0, 0], [0, >]], [[0, 0], [0, 2], [2, 0], [0, 0]] ->= [[0, 2], [2, 0], [0, 0], [0, 0]], [[0, 0], [0, 2], [2, 0], [0, 1]] ->= [[0, 2], [2, 0], [0, 0], [0, 1]], [[0, 0], [0, 2], [2, 0], [0, 2]] ->= [[0, 2], [2, 0], [0, 0], [0, 2]], [[1, 0], [0, 2], [2, 0], [0, >]] ->= [[1, 2], [2, 0], [0, 0], [0, >]], [[1, 0], [0, 2], [2, 0], [0, 0]] ->= [[1, 2], [2, 0], [0, 0], [0, 0]], [[1, 0], [0, 2], [2, 0], [0, 1]] ->= [[1, 2], [2, 0], [0, 0], [0, 1]], [[1, 0], [0, 2], [2, 0], [0, 2]] ->= [[1, 2], [2, 0], [0, 0], [0, 2]], [[2, 0], [0, 2], [2, 0], [0, >]] ->= [[2, 2], [2, 0], [0, 0], [0, >]], [[2, 0], [0, 2], [2, 0], [0, 0]] ->= [[2, 2], [2, 0], [0, 0], [0, 0]], [[2, 0], [0, 2], [2, 0], [0, 1]] ->= [[2, 2], [2, 0], [0, 0], [0, 1]], [[2, 0], [0, 2], [2, 0], [0, 2]] ->= [[2, 2], [2, 0], [0, 0], [0, 2]]) 0.00/0.04 reason 0.00/0.04 remap for 64 rules 0.00/0.04 property Termination 0.00/0.04 has value True 0.00/0.04 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], [7, 8, 9, 10] -> [7, 4, 5, 10], [7, 8, 9, 6] -> [7, 4, 5, 6], [7, 8, 9, 11] -> [7, 4, 5, 11], [7, 8, 9, 12] -> [7, 4, 5, 12], [3, 8, 9, 10] -> [3, 4, 5, 10], [3, 8, 9, 6] -> [3, 4, 5, 6], [3, 8, 9, 11] -> [3, 4, 5, 11], [3, 8, 9, 12] -> [3, 4, 5, 12], [8, 8, 9, 10] -> [8, 4, 5, 10], [8, 8, 9, 6] -> [8, 4, 5, 6], [8, 8, 9, 11] -> [8, 4, 5, 11], [8, 8, 9, 12] -> [8, 4, 5, 12], [11, 8, 9, 10] -> [11, 4, 5, 10], [11, 8, 9, 6] -> [11, 4, 5, 6], [11, 8, 9, 11] -> [11, 4, 5, 11], [11, 8, 9, 12] -> [11, 4, 5, 12], [13, 11, 4, 2] ->= [7, 9, 6, 2], [13, 11, 4, 1] ->= [7, 9, 6, 1], [13, 11, 4, 3] ->= [7, 9, 6, 3], [13, 11, 4, 5] ->= [7, 9, 6, 5], [5, 11, 4, 2] ->= [3, 9, 6, 2], [5, 11, 4, 1] ->= [3, 9, 6, 1], [5, 11, 4, 3] ->= [3, 9, 6, 3], [5, 11, 4, 5] ->= [3, 9, 6, 5], [9, 11, 4, 2] ->= [8, 9, 6, 2], [9, 11, 4, 1] ->= [8, 9, 6, 1], [9, 11, 4, 3] ->= [8, 9, 6, 3], [9, 11, 4, 5] ->= [8, 9, 6, 5], [12, 11, 4, 2] ->= [11, 9, 6, 2], [12, 11, 4, 1] ->= [11, 9, 6, 1], [12, 11, 4, 3] ->= [11, 9, 6, 3], [12, 11, 4, 5] ->= [11, 9, 6, 5], [0, 5, 6, 2] ->= [13, 6, 1, 2], [0, 5, 6, 1] ->= [13, 6, 1, 1], [0, 5, 6, 3] ->= [13, 6, 1, 3], [0, 5, 6, 5] ->= [13, 6, 1, 5], [1, 5, 6, 2] ->= [5, 6, 1, 2], [1, 5, 6, 1] ->= [5, 6, 1, 1], [1, 5, 6, 3] ->= [5, 6, 1, 3], [1, 5, 6, 5] ->= [5, 6, 1, 5], [4, 5, 6, 2] ->= [9, 6, 1, 2], [4, 5, 6, 1] ->= [9, 6, 1, 1], [4, 5, 6, 3] ->= [9, 6, 1, 3], [4, 5, 6, 5] ->= [9, 6, 1, 5], [6, 5, 6, 2] ->= [12, 6, 1, 2], [6, 5, 6, 1] ->= [12, 6, 1, 1], [6, 5, 6, 3] ->= [12, 6, 1, 3], [6, 5, 6, 5] ->= [12, 6, 1, 5]) 0.00/0.04 reason 0.00/0.04 weights 0.00/0.04 Map [(0, 23/1), (1, 16/1), (5, 21/1), (8, 22/1), (11, 69/1), (12, 4/1)] 0.00/0.04 0.00/0.04 property Termination 0.00/0.04 has value True 0.00/0.04 for SRS ( [1, 5, 6, 2] ->= [5, 6, 1, 2], [1, 5, 6, 1] ->= [5, 6, 1, 1], [1, 5, 6, 3] ->= [5, 6, 1, 3], [1, 5, 6, 5] ->= [5, 6, 1, 5]) 0.00/0.04 reason 0.00/0.04 has no strict rules 0.00/0.04 0.00/0.04 ************************************************** 0.00/0.04 summary 0.00/0.04 ************************************************** 0.00/0.04 SRS with 6 rules on 3 letters Remap { tracing = False} 0.00/0.04 SRS with 6 rules on 3 letters weights 0.00/0.04 SRS with 4 rules on 3 letters tile all, by Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 0.00/0.04 SRS with 64 rules on 14 letters Remap { tracing = False} 0.00/0.04 SRS with 64 rules on 14 letters weights 0.00/0.04 SRS with 4 rules on 5 letters has no strict rules 0.00/0.04 0.00/0.04 ************************************************** 0.00/0.04 (6, 3)\Weight(4, 3)\TileAllROC{2}(64, 14)\Weight(4, 5)[] 0.00/0.04 ************************************************** 0.00/0.04 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))))))} 0.00/0.04 in Apply (Worker Remap) method 0.00/0.04 EOF