0.00/0.04 YES 0.00/0.04 property Termination 0.00/0.04 has value True 0.00/0.04 for SRS ( [b, b, b] -> [c, a, c], [a, a, c] -> [a, b, a], [a, a, c] -> [c, b, c], [c, b, b] ->= [b, b, c], [c, c, c] ->= [b, b, c], [a, a, a] ->= [a, b, c]) 0.00/0.04 reason 0.00/0.04 remap for 6 rules 0.00/0.04 property Termination 0.00/0.04 has value True 0.00/0.04 for SRS ( [0, 0, 0] -> [1, 2, 1], [2, 2, 1] -> [2, 0, 2], [2, 2, 1] -> [1, 0, 1], [1, 0, 0] ->= [0, 0, 1], [1, 1, 1] ->= [0, 0, 1], [2, 2, 2] ->= [2, 0, 1]) 0.00/0.04 reason 0.00/0.04 Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 0.00/0.04 using 14 tiles 0.00/0.04 [ [1, >] , [2, >] , [<, 0] , [0, 0] , [1, 0] , [2, 0] , [<, 1] , [0, 1] , [1, 1] , [2, 1] , [<, 2] , [0, 2] , [1, 2] , [2, 2] ] 0.00/0.04 tile all rules 0.00/0.04 0.00/0.04 property Termination 0.00/0.04 has value True 0.00/0.04 for SRS ( [[<, 0], [0, 0], [0, 0], [0, 0]] -> [[<, 1], [1, 2], [2, 1], [1, 0]], [[<, 0], [0, 0], [0, 0], [0, 1]] -> [[<, 1], [1, 2], [2, 1], [1, 1]], [[<, 0], [0, 0], [0, 0], [0, 2]] -> [[<, 1], [1, 2], [2, 1], [1, 2]], [[0, 0], [0, 0], [0, 0], [0, 0]] -> [[0, 1], [1, 2], [2, 1], [1, 0]], [[0, 0], [0, 0], [0, 0], [0, 1]] -> [[0, 1], [1, 2], [2, 1], [1, 1]], [[0, 0], [0, 0], [0, 0], [0, 2]] -> [[0, 1], [1, 2], [2, 1], [1, 2]], [[1, 0], [0, 0], [0, 0], [0, 0]] -> [[1, 1], [1, 2], [2, 1], [1, 0]], [[1, 0], [0, 0], [0, 0], [0, 1]] -> [[1, 1], [1, 2], [2, 1], [1, 1]], [[1, 0], [0, 0], [0, 0], [0, 2]] -> [[1, 1], [1, 2], [2, 1], [1, 2]], [[2, 0], [0, 0], [0, 0], [0, 0]] -> [[2, 1], [1, 2], [2, 1], [1, 0]], [[2, 0], [0, 0], [0, 0], [0, 1]] -> [[2, 1], [1, 2], [2, 1], [1, 1]], [[2, 0], [0, 0], [0, 0], [0, 2]] -> [[2, 1], [1, 2], [2, 1], [1, 2]], [[<, 2], [2, 2], [2, 1], [1, >]] -> [[<, 2], [2, 0], [0, 2], [2, >]], [[<, 2], [2, 2], [2, 1], [1, 0]] -> [[<, 2], [2, 0], [0, 2], [2, 0]], [[<, 2], [2, 2], [2, 1], [1, 1]] -> [[<, 2], [2, 0], [0, 2], [2, 1]], [[<, 2], [2, 2], [2, 1], [1, 2]] -> [[<, 2], [2, 0], [0, 2], [2, 2]], [[0, 2], [2, 2], [2, 1], [1, >]] -> [[0, 2], [2, 0], [0, 2], [2, >]], [[0, 2], [2, 2], [2, 1], [1, 0]] -> [[0, 2], [2, 0], [0, 2], [2, 0]], [[0, 2], [2, 2], [2, 1], [1, 1]] -> [[0, 2], [2, 0], [0, 2], [2, 1]], [[0, 2], [2, 2], [2, 1], [1, 2]] -> [[0, 2], [2, 0], [0, 2], [2, 2]], [[1, 2], [2, 2], [2, 1], [1, >]] -> [[1, 2], [2, 0], [0, 2], [2, >]], [[1, 2], [2, 2], [2, 1], [1, 0]] -> [[1, 2], [2, 0], [0, 2], [2, 0]], [[1, 2], [2, 2], [2, 1], [1, 1]] -> [[1, 2], [2, 0], [0, 2], [2, 1]], [[1, 2], [2, 2], [2, 1], [1, 2]] -> [[1, 2], [2, 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, 0]] -> [[2, 2], [2, 0], [0, 2], [2, 0]], [[2, 2], [2, 2], [2, 1], [1, 1]] -> [[2, 2], [2, 0], [0, 2], [2, 1]], [[2, 2], [2, 2], [2, 1], [1, 2]] -> [[2, 2], [2, 0], [0, 2], [2, 2]], [[<, 2], [2, 2], [2, 1], [1, >]] -> [[<, 1], [1, 0], [0, 1], [1, >]], [[<, 2], [2, 2], [2, 1], [1, 0]] -> [[<, 1], [1, 0], [0, 1], [1, 0]], [[<, 2], [2, 2], [2, 1], [1, 1]] -> [[<, 1], [1, 0], [0, 1], [1, 1]], [[<, 2], [2, 2], [2, 1], [1, 2]] -> [[<, 1], [1, 0], [0, 1], [1, 2]], [[0, 2], [2, 2], [2, 1], [1, >]] -> [[0, 1], [1, 0], [0, 1], [1, >]], [[0, 2], [2, 2], [2, 1], [1, 0]] -> [[0, 1], [1, 0], [0, 1], [1, 0]], [[0, 2], [2, 2], [2, 1], [1, 1]] -> [[0, 1], [1, 0], [0, 1], [1, 1]], [[0, 2], [2, 2], [2, 1], [1, 2]] -> [[0, 1], [1, 0], [0, 1], [1, 2]], [[1, 2], [2, 2], [2, 1], [1, >]] -> [[1, 1], [1, 0], [0, 1], [1, >]], [[1, 2], [2, 2], [2, 1], [1, 0]] -> [[1, 1], [1, 0], [0, 1], [1, 0]], [[1, 2], [2, 2], [2, 1], [1, 1]] -> [[1, 1], [1, 0], [0, 1], [1, 1]], [[1, 2], [2, 2], [2, 1], [1, 2]] -> [[1, 1], [1, 0], [0, 1], [1, 2]], [[2, 2], [2, 2], [2, 1], [1, >]] -> [[2, 1], [1, 0], [0, 1], [1, >]], [[2, 2], [2, 2], [2, 1], [1, 0]] -> [[2, 1], [1, 0], [0, 1], [1, 0]], [[2, 2], [2, 2], [2, 1], [1, 1]] -> [[2, 1], [1, 0], [0, 1], [1, 1]], [[2, 2], [2, 2], [2, 1], [1, 2]] -> [[2, 1], [1, 0], [0, 1], [1, 2]], [[<, 1], [1, 0], [0, 0], [0, 0]] ->= [[<, 0], [0, 0], [0, 1], [1, 0]], [[<, 1], [1, 0], [0, 0], [0, 1]] ->= [[<, 0], [0, 0], [0, 1], [1, 1]], [[<, 1], [1, 0], [0, 0], [0, 2]] ->= [[<, 0], [0, 0], [0, 1], [1, 2]], [[0, 1], [1, 0], [0, 0], [0, 0]] ->= [[0, 0], [0, 0], [0, 1], [1, 0]], [[0, 1], [1, 0], [0, 0], [0, 1]] ->= [[0, 0], [0, 0], [0, 1], [1, 1]], [[0, 1], [1, 0], [0, 0], [0, 2]] ->= [[0, 0], [0, 0], [0, 1], [1, 2]], [[1, 1], [1, 0], [0, 0], [0, 0]] ->= [[1, 0], [0, 0], [0, 1], [1, 0]], [[1, 1], [1, 0], [0, 0], [0, 1]] ->= [[1, 0], [0, 0], [0, 1], [1, 1]], [[1, 1], [1, 0], [0, 0], [0, 2]] ->= [[1, 0], [0, 0], [0, 1], [1, 2]], [[2, 1], [1, 0], [0, 0], [0, 0]] ->= [[2, 0], [0, 0], [0, 1], [1, 0]], [[2, 1], [1, 0], [0, 0], [0, 1]] ->= [[2, 0], [0, 0], [0, 1], [1, 1]], [[2, 1], [1, 0], [0, 0], [0, 2]] ->= [[2, 0], [0, 0], [0, 1], [1, 2]], [[<, 1], [1, 1], [1, 1], [1, >]] ->= [[<, 0], [0, 0], [0, 1], [1, >]], [[<, 1], [1, 1], [1, 1], [1, 0]] ->= [[<, 0], [0, 0], [0, 1], [1, 0]], [[<, 1], [1, 1], [1, 1], [1, 1]] ->= [[<, 0], [0, 0], [0, 1], [1, 1]], [[<, 1], [1, 1], [1, 1], [1, 2]] ->= [[<, 0], [0, 0], [0, 1], [1, 2]], [[0, 1], [1, 1], [1, 1], [1, >]] ->= [[0, 0], [0, 0], [0, 1], [1, >]], [[0, 1], [1, 1], [1, 1], [1, 0]] ->= [[0, 0], [0, 0], [0, 1], [1, 0]], [[0, 1], [1, 1], [1, 1], [1, 1]] ->= [[0, 0], [0, 0], [0, 1], [1, 1]], [[0, 1], [1, 1], [1, 1], [1, 2]] ->= [[0, 0], [0, 0], [0, 1], [1, 2]], [[1, 1], [1, 1], [1, 1], [1, >]] ->= [[1, 0], [0, 0], [0, 1], [1, >]], [[1, 1], [1, 1], [1, 1], [1, 0]] ->= [[1, 0], [0, 0], [0, 1], [1, 0]], [[1, 1], [1, 1], [1, 1], [1, 1]] ->= [[1, 0], [0, 0], [0, 1], [1, 1]], [[1, 1], [1, 1], [1, 1], [1, 2]] ->= [[1, 0], [0, 0], [0, 1], [1, 2]], [[2, 1], [1, 1], [1, 1], [1, >]] ->= [[2, 0], [0, 0], [0, 1], [1, >]], [[2, 1], [1, 1], [1, 1], [1, 0]] ->= [[2, 0], [0, 0], [0, 1], [1, 0]], [[2, 1], [1, 1], [1, 1], [1, 1]] ->= [[2, 0], [0, 0], [0, 1], [1, 1]], [[2, 1], [1, 1], [1, 1], [1, 2]] ->= [[2, 0], [0, 0], [0, 1], [1, 2]], [[<, 2], [2, 2], [2, 2], [2, >]] ->= [[<, 2], [2, 0], [0, 1], [1, >]], [[<, 2], [2, 2], [2, 2], [2, 0]] ->= [[<, 2], [2, 0], [0, 1], [1, 0]], [[<, 2], [2, 2], [2, 2], [2, 1]] ->= [[<, 2], [2, 0], [0, 1], [1, 1]], [[<, 2], [2, 2], [2, 2], [2, 2]] ->= [[<, 2], [2, 0], [0, 1], [1, 2]], [[0, 2], [2, 2], [2, 2], [2, >]] ->= [[0, 2], [2, 0], [0, 1], [1, >]], [[0, 2], [2, 2], [2, 2], [2, 0]] ->= [[0, 2], [2, 0], [0, 1], [1, 0]], [[0, 2], [2, 2], [2, 2], [2, 1]] ->= [[0, 2], [2, 0], [0, 1], [1, 1]], [[0, 2], [2, 2], [2, 2], [2, 2]] ->= [[0, 2], [2, 0], [0, 1], [1, 2]], [[1, 2], [2, 2], [2, 2], [2, >]] ->= [[1, 2], [2, 0], [0, 1], [1, >]], [[1, 2], [2, 2], [2, 2], [2, 0]] ->= [[1, 2], [2, 0], [0, 1], [1, 0]], [[1, 2], [2, 2], [2, 2], [2, 1]] ->= [[1, 2], [2, 0], [0, 1], [1, 1]], [[1, 2], [2, 2], [2, 2], [2, 2]] ->= [[1, 2], [2, 0], [0, 1], [1, 2]], [[2, 2], [2, 2], [2, 2], [2, >]] ->= [[2, 2], [2, 0], [0, 1], [1, >]], [[2, 2], [2, 2], [2, 2], [2, 0]] ->= [[2, 2], [2, 0], [0, 1], [1, 0]], [[2, 2], [2, 2], [2, 2], [2, 1]] ->= [[2, 2], [2, 0], [0, 1], [1, 1]], [[2, 2], [2, 2], [2, 2], [2, 2]] ->= [[2, 2], [2, 0], [0, 1], [1, 2]]) 0.00/0.04 reason 0.00/0.04 remap for 88 rules 0.00/0.04 property Termination 0.00/0.04 has value True 0.00/0.05 for SRS ( [0, 1, 1, 1] -> [2, 3, 4, 5], [0, 1, 1, 6] -> [2, 3, 4, 7], [0, 1, 1, 8] -> [2, 3, 4, 3], [1, 1, 1, 1] -> [6, 3, 4, 5], [1, 1, 1, 6] -> [6, 3, 4, 7], [1, 1, 1, 8] -> [6, 3, 4, 3], [5, 1, 1, 1] -> [7, 3, 4, 5], [5, 1, 1, 6] -> [7, 3, 4, 7], [5, 1, 1, 8] -> [7, 3, 4, 3], [9, 1, 1, 1] -> [4, 3, 4, 5], [9, 1, 1, 6] -> [4, 3, 4, 7], [9, 1, 1, 8] -> [4, 3, 4, 3], [10, 11, 4, 12] -> [10, 9, 8, 13], [10, 11, 4, 5] -> [10, 9, 8, 9], [10, 11, 4, 7] -> [10, 9, 8, 4], [10, 11, 4, 3] -> [10, 9, 8, 11], [8, 11, 4, 12] -> [8, 9, 8, 13], [8, 11, 4, 5] -> [8, 9, 8, 9], [8, 11, 4, 7] -> [8, 9, 8, 4], [8, 11, 4, 3] -> [8, 9, 8, 11], [3, 11, 4, 12] -> [3, 9, 8, 13], [3, 11, 4, 5] -> [3, 9, 8, 9], [3, 11, 4, 7] -> [3, 9, 8, 4], [3, 11, 4, 3] -> [3, 9, 8, 11], [11, 11, 4, 12] -> [11, 9, 8, 13], [11, 11, 4, 5] -> [11, 9, 8, 9], [11, 11, 4, 7] -> [11, 9, 8, 4], [11, 11, 4, 3] -> [11, 9, 8, 11], [10, 11, 4, 12] -> [2, 5, 6, 12], [10, 11, 4, 5] -> [2, 5, 6, 5], [10, 11, 4, 7] -> [2, 5, 6, 7], [10, 11, 4, 3] -> [2, 5, 6, 3], [8, 11, 4, 12] -> [6, 5, 6, 12], [8, 11, 4, 5] -> [6, 5, 6, 5], [8, 11, 4, 7] -> [6, 5, 6, 7], [8, 11, 4, 3] -> [6, 5, 6, 3], [3, 11, 4, 12] -> [7, 5, 6, 12], [3, 11, 4, 5] -> [7, 5, 6, 5], [3, 11, 4, 7] -> [7, 5, 6, 7], [3, 11, 4, 3] -> [7, 5, 6, 3], [11, 11, 4, 12] -> [4, 5, 6, 12], [11, 11, 4, 5] -> [4, 5, 6, 5], [11, 11, 4, 7] -> [4, 5, 6, 7], [11, 11, 4, 3] -> [4, 5, 6, 3], [2, 5, 1, 1] ->= [0, 1, 6, 5], [2, 5, 1, 6] ->= [0, 1, 6, 7], [2, 5, 1, 8] ->= [0, 1, 6, 3], [6, 5, 1, 1] ->= [1, 1, 6, 5], [6, 5, 1, 6] ->= [1, 1, 6, 7], [6, 5, 1, 8] ->= [1, 1, 6, 3], [7, 5, 1, 1] ->= [5, 1, 6, 5], [7, 5, 1, 6] ->= [5, 1, 6, 7], [7, 5, 1, 8] ->= [5, 1, 6, 3], [4, 5, 1, 1] ->= [9, 1, 6, 5], [4, 5, 1, 6] ->= [9, 1, 6, 7], [4, 5, 1, 8] ->= [9, 1, 6, 3], [2, 7, 7, 12] ->= [0, 1, 6, 12], [2, 7, 7, 5] ->= [0, 1, 6, 5], [2, 7, 7, 7] ->= [0, 1, 6, 7], [2, 7, 7, 3] ->= [0, 1, 6, 3], [6, 7, 7, 12] ->= [1, 1, 6, 12], [6, 7, 7, 5] ->= [1, 1, 6, 5], [6, 7, 7, 7] ->= [1, 1, 6, 7], [6, 7, 7, 3] ->= [1, 1, 6, 3], [7, 7, 7, 12] ->= [5, 1, 6, 12], [7, 7, 7, 5] ->= [5, 1, 6, 5], [7, 7, 7, 7] ->= [5, 1, 6, 7], [7, 7, 7, 3] ->= [5, 1, 6, 3], [4, 7, 7, 12] ->= [9, 1, 6, 12], [4, 7, 7, 5] ->= [9, 1, 6, 5], [4, 7, 7, 7] ->= [9, 1, 6, 7], [4, 7, 7, 3] ->= [9, 1, 6, 3], [10, 11, 11, 13] ->= [10, 9, 6, 12], [10, 11, 11, 9] ->= [10, 9, 6, 5], [10, 11, 11, 4] ->= [10, 9, 6, 7], [10, 11, 11, 11] ->= [10, 9, 6, 3], [8, 11, 11, 13] ->= [8, 9, 6, 12], [8, 11, 11, 9] ->= [8, 9, 6, 5], [8, 11, 11, 4] ->= [8, 9, 6, 7], [8, 11, 11, 11] ->= [8, 9, 6, 3], [3, 11, 11, 13] ->= [3, 9, 6, 12], [3, 11, 11, 9] ->= [3, 9, 6, 5], [3, 11, 11, 4] ->= [3, 9, 6, 7], [3, 11, 11, 11] ->= [3, 9, 6, 3], [11, 11, 11, 13] ->= [11, 9, 6, 12], [11, 11, 11, 9] ->= [11, 9, 6, 5], [11, 11, 11, 4] ->= [11, 9, 6, 7], [11, 11, 11, 11] ->= [11, 9, 6, 3]) 0.00/0.05 reason 0.00/0.05 weights 0.00/0.05 Map [(0, 1/1), (1, 15/1), (3, 4/1), (4, 4/1), (5, 32/1), (6, 13/3), (7, 64/3), (10, 152/33), (11, 152/3)] 0.00/0.05 0.00/0.05 property Termination 0.00/0.05 has value True 0.00/0.05 for SRS ( [6, 5, 1, 1] ->= [1, 1, 6, 5], [6, 5, 1, 6] ->= [1, 1, 6, 7], [7, 5, 1, 1] ->= [5, 1, 6, 5], [7, 5, 1, 6] ->= [5, 1, 6, 7]) 0.00/0.05 reason 0.00/0.05 has no strict rules 0.00/0.05 0.00/0.05 ************************************************** 0.00/0.05 summary 0.00/0.05 ************************************************** 0.00/0.05 SRS with 6 rules on 3 letters Remap { tracing = False} 0.00/0.05 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} 0.00/0.05 SRS with 88 rules on 14 letters Remap { tracing = False} 0.00/0.05 SRS with 88 rules on 14 letters weights 0.00/0.05 SRS with 4 rules on 4 letters has no strict rules 0.00/0.05 0.00/0.05 ************************************************** 0.00/0.05 (6, 3)\TileAllROC{2}(88, 14)\Weight(4, 4)[] 0.00/0.05 ************************************************** 0.00/0.05 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))))))} 0.00/0.05 in Apply (Worker Remap) method 0.00/0.05 EOF