0.00/0.05 YES 0.00/0.05 property Termination 0.00/0.05 has value True 0.00/0.05 for SRS ( [a, a, c] -> [c, c, c], [a, c, b] -> [a, a, c], [b, c, a] -> [b, a, b], [a, b, c] -> [b, a, c], [b, c, b] ->= [a, b, c], [a, c, b] ->= [c, c, b]) 0.00/0.05 reason 0.00/0.05 remap for 6 rules 0.00/0.05 property Termination 0.00/0.05 has value True 0.00/0.05 for SRS ( [0, 0, 1] -> [1, 1, 1], [0, 1, 2] -> [0, 0, 1], [2, 1, 0] -> [2, 0, 2], [0, 2, 1] -> [2, 0, 1], [2, 1, 2] ->= [0, 2, 1], [0, 1, 2] ->= [1, 1, 2]) 0.00/0.05 reason 0.00/0.05 Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 0.00/0.05 using 14 tiles 0.00/0.05 [ [1, >] , [2, >] , [<, 0] , [0, 0] , [1, 0] , [2, 0] , [<, 1] , [0, 1] , [1, 1] , [2, 1] , [<, 2] , [0, 2] , [1, 2] , [2, 2] ] 0.00/0.05 tile all rules 0.00/0.05 0.00/0.05 property Termination 0.00/0.05 has value True 0.00/0.06 for SRS ( [[<, 0], [0, 0], [0, 1], [1, >]] -> [[<, 1], [1, 1], [1, 1], [1, >]], [[<, 0], [0, 0], [0, 1], [1, 0]] -> [[<, 1], [1, 1], [1, 1], [1, 0]], [[<, 0], [0, 0], [0, 1], [1, 1]] -> [[<, 1], [1, 1], [1, 1], [1, 1]], [[<, 0], [0, 0], [0, 1], [1, 2]] -> [[<, 1], [1, 1], [1, 1], [1, 2]], [[0, 0], [0, 0], [0, 1], [1, >]] -> [[0, 1], [1, 1], [1, 1], [1, >]], [[0, 0], [0, 0], [0, 1], [1, 0]] -> [[0, 1], [1, 1], [1, 1], [1, 0]], [[0, 0], [0, 0], [0, 1], [1, 1]] -> [[0, 1], [1, 1], [1, 1], [1, 1]], [[0, 0], [0, 0], [0, 1], [1, 2]] -> [[0, 1], [1, 1], [1, 1], [1, 2]], [[1, 0], [0, 0], [0, 1], [1, >]] -> [[1, 1], [1, 1], [1, 1], [1, >]], [[1, 0], [0, 0], [0, 1], [1, 0]] -> [[1, 1], [1, 1], [1, 1], [1, 0]], [[1, 0], [0, 0], [0, 1], [1, 1]] -> [[1, 1], [1, 1], [1, 1], [1, 1]], [[1, 0], [0, 0], [0, 1], [1, 2]] -> [[1, 1], [1, 1], [1, 1], [1, 2]], [[2, 0], [0, 0], [0, 1], [1, >]] -> [[2, 1], [1, 1], [1, 1], [1, >]], [[2, 0], [0, 0], [0, 1], [1, 0]] -> [[2, 1], [1, 1], [1, 1], [1, 0]], [[2, 0], [0, 0], [0, 1], [1, 1]] -> [[2, 1], [1, 1], [1, 1], [1, 1]], [[2, 0], [0, 0], [0, 1], [1, 2]] -> [[2, 1], [1, 1], [1, 1], [1, 2]], [[<, 0], [0, 1], [1, 2], [2, >]] -> [[<, 0], [0, 0], [0, 1], [1, >]], [[<, 0], [0, 1], [1, 2], [2, 0]] -> [[<, 0], [0, 0], [0, 1], [1, 0]], [[<, 0], [0, 1], [1, 2], [2, 1]] -> [[<, 0], [0, 0], [0, 1], [1, 1]], [[<, 0], [0, 1], [1, 2], [2, 2]] -> [[<, 0], [0, 0], [0, 1], [1, 2]], [[0, 0], [0, 1], [1, 2], [2, >]] -> [[0, 0], [0, 0], [0, 1], [1, >]], [[0, 0], [0, 1], [1, 2], [2, 0]] -> [[0, 0], [0, 0], [0, 1], [1, 0]], [[0, 0], [0, 1], [1, 2], [2, 1]] -> [[0, 0], [0, 0], [0, 1], [1, 1]], [[0, 0], [0, 1], [1, 2], [2, 2]] -> [[0, 0], [0, 0], [0, 1], [1, 2]], [[1, 0], [0, 1], [1, 2], [2, >]] -> [[1, 0], [0, 0], [0, 1], [1, >]], [[1, 0], [0, 1], [1, 2], [2, 0]] -> [[1, 0], [0, 0], [0, 1], [1, 0]], [[1, 0], [0, 1], [1, 2], [2, 1]] -> [[1, 0], [0, 0], [0, 1], [1, 1]], [[1, 0], [0, 1], [1, 2], [2, 2]] -> [[1, 0], [0, 0], [0, 1], [1, 2]], [[2, 0], [0, 1], [1, 2], [2, >]] -> [[2, 0], [0, 0], [0, 1], [1, >]], [[2, 0], [0, 1], [1, 2], [2, 0]] -> [[2, 0], [0, 0], [0, 1], [1, 0]], [[2, 0], [0, 1], [1, 2], [2, 1]] -> [[2, 0], [0, 0], [0, 1], [1, 1]], [[2, 0], [0, 1], [1, 2], [2, 2]] -> [[2, 0], [0, 0], [0, 1], [1, 2]], [[<, 2], [2, 1], [1, 0], [0, 0]] -> [[<, 2], [2, 0], [0, 2], [2, 0]], [[<, 2], [2, 1], [1, 0], [0, 1]] -> [[<, 2], [2, 0], [0, 2], [2, 1]], [[<, 2], [2, 1], [1, 0], [0, 2]] -> [[<, 2], [2, 0], [0, 2], [2, 2]], [[0, 2], [2, 1], [1, 0], [0, 0]] -> [[0, 2], [2, 0], [0, 2], [2, 0]], [[0, 2], [2, 1], [1, 0], [0, 1]] -> [[0, 2], [2, 0], [0, 2], [2, 1]], [[0, 2], [2, 1], [1, 0], [0, 2]] -> [[0, 2], [2, 0], [0, 2], [2, 2]], [[1, 2], [2, 1], [1, 0], [0, 0]] -> [[1, 2], [2, 0], [0, 2], [2, 0]], [[1, 2], [2, 1], [1, 0], [0, 1]] -> [[1, 2], [2, 0], [0, 2], [2, 1]], [[1, 2], [2, 1], [1, 0], [0, 2]] -> [[1, 2], [2, 0], [0, 2], [2, 2]], [[2, 2], [2, 1], [1, 0], [0, 0]] -> [[2, 2], [2, 0], [0, 2], [2, 0]], [[2, 2], [2, 1], [1, 0], [0, 1]] -> [[2, 2], [2, 0], [0, 2], [2, 1]], [[2, 2], [2, 1], [1, 0], [0, 2]] -> [[2, 2], [2, 0], [0, 2], [2, 2]], [[<, 0], [0, 2], [2, 1], [1, >]] -> [[<, 2], [2, 0], [0, 1], [1, >]], [[<, 0], [0, 2], [2, 1], [1, 0]] -> [[<, 2], [2, 0], [0, 1], [1, 0]], [[<, 0], [0, 2], [2, 1], [1, 1]] -> [[<, 2], [2, 0], [0, 1], [1, 1]], [[<, 0], [0, 2], [2, 1], [1, 2]] -> [[<, 2], [2, 0], [0, 1], [1, 2]], [[0, 0], [0, 2], [2, 1], [1, >]] -> [[0, 2], [2, 0], [0, 1], [1, >]], [[0, 0], [0, 2], [2, 1], [1, 0]] -> [[0, 2], [2, 0], [0, 1], [1, 0]], [[0, 0], [0, 2], [2, 1], [1, 1]] -> [[0, 2], [2, 0], [0, 1], [1, 1]], [[0, 0], [0, 2], [2, 1], [1, 2]] -> [[0, 2], [2, 0], [0, 1], [1, 2]], [[1, 0], [0, 2], [2, 1], [1, >]] -> [[1, 2], [2, 0], [0, 1], [1, >]], [[1, 0], [0, 2], [2, 1], [1, 0]] -> [[1, 2], [2, 0], [0, 1], [1, 0]], [[1, 0], [0, 2], [2, 1], [1, 1]] -> [[1, 2], [2, 0], [0, 1], [1, 1]], [[1, 0], [0, 2], [2, 1], [1, 2]] -> [[1, 2], [2, 0], [0, 1], [1, 2]], [[2, 0], [0, 2], [2, 1], [1, >]] -> [[2, 2], [2, 0], [0, 1], [1, >]], [[2, 0], [0, 2], [2, 1], [1, 0]] -> [[2, 2], [2, 0], [0, 1], [1, 0]], [[2, 0], [0, 2], [2, 1], [1, 1]] -> [[2, 2], [2, 0], [0, 1], [1, 1]], [[2, 0], [0, 2], [2, 1], [1, 2]] -> [[2, 2], [2, 0], [0, 1], [1, 2]], [[<, 2], [2, 1], [1, 2], [2, >]] ->= [[<, 0], [0, 2], [2, 1], [1, >]], [[<, 2], [2, 1], [1, 2], [2, 0]] ->= [[<, 0], [0, 2], [2, 1], [1, 0]], [[<, 2], [2, 1], [1, 2], [2, 1]] ->= [[<, 0], [0, 2], [2, 1], [1, 1]], [[<, 2], [2, 1], [1, 2], [2, 2]] ->= [[<, 0], [0, 2], [2, 1], [1, 2]], [[0, 2], [2, 1], [1, 2], [2, >]] ->= [[0, 0], [0, 2], [2, 1], [1, >]], [[0, 2], [2, 1], [1, 2], [2, 0]] ->= [[0, 0], [0, 2], [2, 1], [1, 0]], [[0, 2], [2, 1], [1, 2], [2, 1]] ->= [[0, 0], [0, 2], [2, 1], [1, 1]], [[0, 2], [2, 1], [1, 2], [2, 2]] ->= [[0, 0], [0, 2], [2, 1], [1, 2]], [[1, 2], [2, 1], [1, 2], [2, >]] ->= [[1, 0], [0, 2], [2, 1], [1, >]], [[1, 2], [2, 1], [1, 2], [2, 0]] ->= [[1, 0], [0, 2], [2, 1], [1, 0]], [[1, 2], [2, 1], [1, 2], [2, 1]] ->= [[1, 0], [0, 2], [2, 1], [1, 1]], [[1, 2], [2, 1], [1, 2], [2, 2]] ->= [[1, 0], [0, 2], [2, 1], [1, 2]], [[2, 2], [2, 1], [1, 2], [2, >]] ->= [[2, 0], [0, 2], [2, 1], [1, >]], [[2, 2], [2, 1], [1, 2], [2, 0]] ->= [[2, 0], [0, 2], [2, 1], [1, 0]], [[2, 2], [2, 1], [1, 2], [2, 1]] ->= [[2, 0], [0, 2], [2, 1], [1, 1]], [[2, 2], [2, 1], [1, 2], [2, 2]] ->= [[2, 0], [0, 2], [2, 1], [1, 2]], [[<, 0], [0, 1], [1, 2], [2, >]] ->= [[<, 1], [1, 1], [1, 2], [2, >]], [[<, 0], [0, 1], [1, 2], [2, 0]] ->= [[<, 1], [1, 1], [1, 2], [2, 0]], [[<, 0], [0, 1], [1, 2], [2, 1]] ->= [[<, 1], [1, 1], [1, 2], [2, 1]], [[<, 0], [0, 1], [1, 2], [2, 2]] ->= [[<, 1], [1, 1], [1, 2], [2, 2]], [[0, 0], [0, 1], [1, 2], [2, >]] ->= [[0, 1], [1, 1], [1, 2], [2, >]], [[0, 0], [0, 1], [1, 2], [2, 0]] ->= [[0, 1], [1, 1], [1, 2], [2, 0]], [[0, 0], [0, 1], [1, 2], [2, 1]] ->= [[0, 1], [1, 1], [1, 2], [2, 1]], [[0, 0], [0, 1], [1, 2], [2, 2]] ->= [[0, 1], [1, 1], [1, 2], [2, 2]], [[1, 0], [0, 1], [1, 2], [2, >]] ->= [[1, 1], [1, 1], [1, 2], [2, >]], [[1, 0], [0, 1], [1, 2], [2, 0]] ->= [[1, 1], [1, 1], [1, 2], [2, 0]], [[1, 0], [0, 1], [1, 2], [2, 1]] ->= [[1, 1], [1, 1], [1, 2], [2, 1]], [[1, 0], [0, 1], [1, 2], [2, 2]] ->= [[1, 1], [1, 1], [1, 2], [2, 2]], [[2, 0], [0, 1], [1, 2], [2, >]] ->= [[2, 1], [1, 1], [1, 2], [2, >]], [[2, 0], [0, 1], [1, 2], [2, 0]] ->= [[2, 1], [1, 1], [1, 2], [2, 0]], [[2, 0], [0, 1], [1, 2], [2, 1]] ->= [[2, 1], [1, 1], [1, 2], [2, 1]], [[2, 0], [0, 1], [1, 2], [2, 2]] ->= [[2, 1], [1, 1], [1, 2], [2, 2]]) 0.00/0.06 reason 0.00/0.06 remap for 92 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, 5, 3], [0, 1, 2, 6] -> [4, 5, 5, 6], [0, 1, 2, 5] -> [4, 5, 5, 5], [0, 1, 2, 7] -> [4, 5, 5, 7], [1, 1, 2, 3] -> [2, 5, 5, 3], [1, 1, 2, 6] -> [2, 5, 5, 6], [1, 1, 2, 5] -> [2, 5, 5, 5], [1, 1, 2, 7] -> [2, 5, 5, 7], [6, 1, 2, 3] -> [5, 5, 5, 3], [6, 1, 2, 6] -> [5, 5, 5, 6], [6, 1, 2, 5] -> [5, 5, 5, 5], [6, 1, 2, 7] -> [5, 5, 5, 7], [8, 1, 2, 3] -> [9, 5, 5, 3], [8, 1, 2, 6] -> [9, 5, 5, 6], [8, 1, 2, 5] -> [9, 5, 5, 5], [8, 1, 2, 7] -> [9, 5, 5, 7], [0, 2, 7, 10] -> [0, 1, 2, 3], [0, 2, 7, 8] -> [0, 1, 2, 6], [0, 2, 7, 9] -> [0, 1, 2, 5], [0, 2, 7, 11] -> [0, 1, 2, 7], [1, 2, 7, 10] -> [1, 1, 2, 3], [1, 2, 7, 8] -> [1, 1, 2, 6], [1, 2, 7, 9] -> [1, 1, 2, 5], [1, 2, 7, 11] -> [1, 1, 2, 7], [6, 2, 7, 10] -> [6, 1, 2, 3], [6, 2, 7, 8] -> [6, 1, 2, 6], [6, 2, 7, 9] -> [6, 1, 2, 5], [6, 2, 7, 11] -> [6, 1, 2, 7], [8, 2, 7, 10] -> [8, 1, 2, 3], [8, 2, 7, 8] -> [8, 1, 2, 6], [8, 2, 7, 9] -> [8, 1, 2, 5], [8, 2, 7, 11] -> [8, 1, 2, 7], [12, 9, 6, 1] -> [12, 8, 13, 8], [12, 9, 6, 2] -> [12, 8, 13, 9], [12, 9, 6, 13] -> [12, 8, 13, 11], [13, 9, 6, 1] -> [13, 8, 13, 8], [13, 9, 6, 2] -> [13, 8, 13, 9], [13, 9, 6, 13] -> [13, 8, 13, 11], [7, 9, 6, 1] -> [7, 8, 13, 8], [7, 9, 6, 2] -> [7, 8, 13, 9], [7, 9, 6, 13] -> [7, 8, 13, 11], [11, 9, 6, 1] -> [11, 8, 13, 8], [11, 9, 6, 2] -> [11, 8, 13, 9], [11, 9, 6, 13] -> [11, 8, 13, 11], [0, 13, 9, 3] -> [12, 8, 2, 3], [0, 13, 9, 6] -> [12, 8, 2, 6], [0, 13, 9, 5] -> [12, 8, 2, 5], [0, 13, 9, 7] -> [12, 8, 2, 7], [1, 13, 9, 3] -> [13, 8, 2, 3], [1, 13, 9, 6] -> [13, 8, 2, 6], [1, 13, 9, 5] -> [13, 8, 2, 5], [1, 13, 9, 7] -> [13, 8, 2, 7], [6, 13, 9, 3] -> [7, 8, 2, 3], [6, 13, 9, 6] -> [7, 8, 2, 6], [6, 13, 9, 5] -> [7, 8, 2, 5], [6, 13, 9, 7] -> [7, 8, 2, 7], [8, 13, 9, 3] -> [11, 8, 2, 3], [8, 13, 9, 6] -> [11, 8, 2, 6], [8, 13, 9, 5] -> [11, 8, 2, 5], [8, 13, 9, 7] -> [11, 8, 2, 7], [12, 9, 7, 10] ->= [0, 13, 9, 3], [12, 9, 7, 8] ->= [0, 13, 9, 6], [12, 9, 7, 9] ->= [0, 13, 9, 5], [12, 9, 7, 11] ->= [0, 13, 9, 7], [13, 9, 7, 10] ->= [1, 13, 9, 3], [13, 9, 7, 8] ->= [1, 13, 9, 6], [13, 9, 7, 9] ->= [1, 13, 9, 5], [13, 9, 7, 11] ->= [1, 13, 9, 7], [7, 9, 7, 10] ->= [6, 13, 9, 3], [7, 9, 7, 8] ->= [6, 13, 9, 6], [7, 9, 7, 9] ->= [6, 13, 9, 5], [7, 9, 7, 11] ->= [6, 13, 9, 7], [11, 9, 7, 10] ->= [8, 13, 9, 3], [11, 9, 7, 8] ->= [8, 13, 9, 6], [11, 9, 7, 9] ->= [8, 13, 9, 5], [11, 9, 7, 11] ->= [8, 13, 9, 7], [0, 2, 7, 10] ->= [4, 5, 7, 10], [0, 2, 7, 8] ->= [4, 5, 7, 8], [0, 2, 7, 9] ->= [4, 5, 7, 9], [0, 2, 7, 11] ->= [4, 5, 7, 11], [1, 2, 7, 10] ->= [2, 5, 7, 10], [1, 2, 7, 8] ->= [2, 5, 7, 8], [1, 2, 7, 9] ->= [2, 5, 7, 9], [1, 2, 7, 11] ->= [2, 5, 7, 11], [6, 2, 7, 10] ->= [5, 5, 7, 10], [6, 2, 7, 8] ->= [5, 5, 7, 8], [6, 2, 7, 9] ->= [5, 5, 7, 9], [6, 2, 7, 11] ->= [5, 5, 7, 11], [8, 2, 7, 10] ->= [9, 5, 7, 10], [8, 2, 7, 8] ->= [9, 5, 7, 8], [8, 2, 7, 9] ->= [9, 5, 7, 9], [8, 2, 7, 11] ->= [9, 5, 7, 11]) 0.00/0.06 reason 0.00/0.06 weights 0.00/0.06 Map [(1, 19/1), (2, 48/1), (7, 24/1), (8, 9/1), (9, 44/1), (10, 1/1), (11, 24/1), (12, 15/1), (13, 38/1)] 0.00/0.06 0.00/0.06 property Termination 0.00/0.06 has value True 0.00/0.06 for SRS ( ) 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} 0.00/0.06 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} 0.00/0.06 SRS with 92 rules on 14 letters Remap { tracing = False} 0.00/0.06 SRS with 92 rules on 14 letters weights 0.00/0.06 SRS with 0 rules on 0 letters has no strict rules 0.00/0.06 0.00/0.06 ************************************************** 0.00/0.06 (6, 3)\TileAllROC{2}(92, 14)\Weight(0, 0)[] 0.00/0.06 ************************************************** 0.00/0.06 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))))))} 0.00/0.06 in Apply (Worker Remap) method 0.00/0.07 EOF