0.00/0.08 YES 0.00/0.08 property Termination 0.00/0.08 has value True 0.00/0.08 for SRS ( [b, b, a] -> [a, a, b], [a, a, a] -> [c, c, a], [a, a, a] -> [b, c, b], [b, a, c] -> [a, b, a], [c, c, b] ->= [a, c, b], [a, a, a] ->= [b, a, a]) 0.00/0.08 reason 0.00/0.08 remap for 6 rules 0.00/0.08 property Termination 0.00/0.08 has value True 0.00/0.08 for SRS ( [0, 0, 1] -> [1, 1, 0], [1, 1, 1] -> [2, 2, 1], [1, 1, 1] -> [0, 2, 0], [0, 1, 2] -> [1, 0, 1], [2, 2, 0] ->= [1, 2, 0], [1, 1, 1] ->= [0, 1, 1]) 0.00/0.08 reason 0.00/0.08 Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} 0.00/0.08 interpretation 0.00/0.08 0 / 2 0 \ 0.00/0.08 \ 0 1 / 0.00/0.08 1 / 2 1 \ 0.00/0.08 \ 0 1 / 0.00/0.08 2 / 2 1 \ 0.00/0.08 \ 0 1 / 0.00/0.08 [0, 0, 1] -> [1, 1, 0] 0.00/0.08 lhs rhs ge gt 0.00/0.08 / 8 4 \ / 8 3 \ True True 0.00/0.08 \ 0 1 / \ 0 1 / 0.00/0.08 [1, 1, 1] -> [2, 2, 1] 0.00/0.08 lhs rhs ge gt 0.00/0.08 / 8 7 \ / 8 7 \ True False 0.00/0.08 \ 0 1 / \ 0 1 / 0.00/0.08 [1, 1, 1] -> [0, 2, 0] 0.00/0.08 lhs rhs ge gt 0.00/0.08 / 8 7 \ / 8 2 \ True True 0.00/0.08 \ 0 1 / \ 0 1 / 0.00/0.08 [0, 1, 2] -> [1, 0, 1] 0.00/0.08 lhs rhs ge gt 0.00/0.08 / 8 6 \ / 8 5 \ True True 0.00/0.08 \ 0 1 / \ 0 1 / 0.00/0.08 [2, 2, 0] ->= [1, 2, 0] 0.00/0.08 lhs rhs ge gt 0.00/0.08 / 8 3 \ / 8 3 \ True False 0.00/0.08 \ 0 1 / \ 0 1 / 0.00/0.08 [1, 1, 1] ->= [0, 1, 1] 0.00/0.08 lhs rhs ge gt 0.00/0.08 / 8 7 \ / 8 6 \ True True 0.00/0.08 \ 0 1 / \ 0 1 / 0.00/0.08 property Termination 0.00/0.08 has value True 0.00/0.08 for SRS ( [1, 1, 1] -> [2, 2, 1], [2, 2, 0] ->= [1, 2, 0]) 0.00/0.08 reason 0.00/0.08 Tiling { method = Overlap, width = 5, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 0.00/0.08 using 17 tiles 0.00/0.08 [ [<, 1, 2, 0, >] , [<, 2, 2, 1, >] , [2, 1, 2, 0, >] , [2, 2, 2, 1, >] , [<, <, 1, 2, 0] , [2, 2, 1, 2, 0] , [<, <, <, <, 1] , [<, <, 2, 2, 1] , [2, 2, 2, 2, 1] , [<, <, <, <, 2] , [<, <, <, 1, 2] , [<, <, <, 2, 2] , [<, <, 2, 2, 2] , [<, 2, 2, 1, 2] , [<, 2, 2, 2, 2] , [2, 2, 2, 1, 2] , [2, 2, 2, 2, 2] ] 0.00/0.08 remove some unmatched rules 0.00/0.08 0.00/0.08 property Termination 0.00/0.08 has value True 0.00/0.08 for SRS ( ) 0.00/0.08 reason 0.00/0.08 remap for 0 rules 0.00/0.08 property Termination 0.00/0.08 has value True 0.00/0.08 for SRS ( ) 0.00/0.08 reason 0.00/0.08 has no strict rules 0.00/0.08 0.00/0.08 ************************************************** 0.00/0.08 summary 0.00/0.08 ************************************************** 0.00/0.08 SRS with 6 rules on 3 letters Remap { tracing = False} 0.00/0.08 SRS with 6 rules on 3 letters Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} 0.00/0.08 SRS with 2 rules on 3 letters remove some, by Tiling { method = Overlap, width = 5, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 0.00/0.08 SRS with 0 rules on 0 letters Remap { tracing = False} 0.00/0.08 SRS with 0 rules on 0 letters has no strict rules 0.00/0.08 0.00/0.08 ************************************************** 0.00/0.08 (6, 3)\Matrix{\Natural}{2}(2, 3)\TileRemoveROC{5}(0, 0)[] 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 0.00/0.09 EOF