14.99/3.81 YES 14.99/3.81 property Termination 14.99/3.81 has value True 14.99/3.81 for SRS ( [c, a, a] -> [c, b, a], [c, b, c] -> [a, c, b], [b, b, c] ->= [b, b, b], [c, b, c] ->= [b, c, b], [b, b, a] ->= [c, a, c], [a, c, a] ->= [c, b, b]) 14.99/3.81 reason 14.99/3.81 remap for 6 rules 14.99/3.81 property Termination 14.99/3.81 has value True 14.99/3.81 for SRS ( [0, 1, 1] -> [0, 2, 1], [0, 2, 0] -> [1, 0, 2], [2, 2, 0] ->= [2, 2, 2], [0, 2, 0] ->= [2, 0, 2], [2, 2, 1] ->= [0, 1, 0], [1, 0, 1] ->= [0, 2, 2]) 14.99/3.81 reason 14.99/3.81 Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 14.99/3.81 interpretation 14.99/3.81 0 St / 1 2 0 1 \ 14.99/3.81 | 1 0 1 0 | 14.99/3.81 | 1 0 1 0 | 14.99/3.81 \ 0 0 0 1 / 14.99/3.81 1 St / 1 2 0 1 \ 14.99/3.81 | 1 0 1 0 | 14.99/3.81 | 1 0 1 1 | 14.99/3.81 \ 0 0 0 1 / 14.99/3.81 2 St / 1 2 0 0 \ 14.99/3.81 | 1 0 1 0 | 14.99/3.81 | 1 0 1 1 | 14.99/3.81 \ 0 0 0 1 / 14.99/3.81 [0, 1, 1] -> [0, 2, 1] 14.99/3.81 lhs rhs ge gt 14.99/3.81 St / 7 6 4 7 \ St / 7 6 4 6 \ True True 14.99/3.81 | 5 4 3 5 | | 5 4 3 4 | 14.99/3.81 | 5 4 3 5 | | 5 4 3 4 | 14.99/3.81 \ 0 0 0 1 / \ 0 0 0 1 / 14.99/3.81 [0, 2, 0] -> [1, 0, 2] 14.99/3.81 lhs rhs ge gt 14.99/3.81 St / 7 6 4 4 \ St / 7 6 4 4 \ True False 14.99/3.81 | 5 4 3 3 | | 5 4 3 2 | 14.99/3.81 | 5 4 3 3 | | 5 4 3 3 | 14.99/3.81 \ 0 0 0 1 / \ 0 0 0 1 / 14.99/3.81 [2, 2, 0] ->= [2, 2, 2] 14.99/3.81 lhs rhs ge gt 14.99/3.81 St / 7 6 4 3 \ St / 7 6 4 2 \ True True 14.99/3.81 | 5 4 3 3 | | 5 4 3 2 | 14.99/3.81 | 5 4 3 4 | | 5 4 3 3 | 14.99/3.81 \ 0 0 0 1 / \ 0 0 0 1 / 14.99/3.81 [0, 2, 0] ->= [2, 0, 2] 14.99/3.81 lhs rhs ge gt 14.99/3.81 St / 7 6 4 4 \ St / 7 6 4 3 \ True True 14.99/3.81 | 5 4 3 3 | | 5 4 3 2 | 14.99/3.81 | 5 4 3 3 | | 5 4 3 3 | 14.99/3.81 \ 0 0 0 1 / \ 0 0 0 1 / 14.99/3.81 [2, 2, 1] ->= [0, 1, 0] 14.99/3.81 lhs rhs ge gt 14.99/3.81 St / 7 6 4 5 \ St / 7 6 4 5 \ True False 14.99/3.81 | 5 4 3 4 | | 5 4 3 4 | 14.99/3.81 | 5 4 3 5 | | 5 4 3 4 | 14.99/3.81 \ 0 0 0 1 / \ 0 0 0 1 / 14.99/3.81 [1, 0, 1] ->= [0, 2, 2] 14.99/3.81 lhs rhs ge gt 14.99/3.81 St / 7 6 4 7 \ St / 7 6 4 3 \ True True 14.99/3.81 | 5 4 3 4 | | 5 4 3 2 | 14.99/3.81 | 5 4 3 5 | | 5 4 3 2 | 14.99/3.81 \ 0 0 0 1 / \ 0 0 0 1 / 14.99/3.81 property Termination 14.99/3.81 has value True 14.99/3.81 for SRS ( [0, 2, 0] -> [1, 0, 2], [2, 2, 1] ->= [0, 1, 0]) 14.99/3.81 reason 14.99/3.81 weights 14.99/3.81 Map [(0, 1/1), (2, 3/2)] 14.99/3.81 14.99/3.81 property Termination 14.99/3.81 has value True 14.99/3.81 for SRS ( ) 14.99/3.81 reason 14.99/3.81 has no strict rules 14.99/3.81 14.99/3.81 ************************************************** 14.99/3.81 summary 14.99/3.81 ************************************************** 14.99/3.81 SRS with 6 rules on 3 letters Remap { tracing = False} 14.99/3.81 SRS with 6 rules on 3 letters Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 14.99/3.81 SRS with 2 rules on 3 letters weights 14.99/3.81 SRS with 0 rules on 0 letters has no strict rules 14.99/3.81 14.99/3.81 ************************************************** 14.99/3.81 (6, 3)\Matrix{\Natural}{4}(2, 3)\Weight(0, 0)[] 14.99/3.81 ************************************************** 14.99/3.82 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))))))} 14.99/3.82 in Apply (Worker Remap) method 15.08/3.87 EOF