71.79/18.19 YES 71.79/18.19 property Termination 71.79/18.19 has value True 71.79/18.19 for SRS ( [c, a, b] -> [a, c, a], [c, c, c] -> [b, b, b], [a, c, a] ->= [b, a, a], [a, a, a] ->= [a, a, a], [a, a, b] ->= [c, b, a], [b, a, c] ->= [c, b, c], [b, a, c] ->= [b, a, b]) 71.79/18.19 reason 71.79/18.19 remap for 7 rules 71.79/18.19 property Termination 71.79/18.19 has value True 71.79/18.19 for SRS ( [0, 1, 2] -> [1, 0, 1], [0, 0, 0] -> [2, 2, 2], [1, 0, 1] ->= [2, 1, 1], [1, 1, 1] ->= [1, 1, 1], [1, 1, 2] ->= [0, 2, 1], [2, 1, 0] ->= [0, 2, 0], [2, 1, 0] ->= [2, 1, 2]) 71.79/18.19 reason 71.79/18.19 Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 3, solver = Minisatapi, verbose = False, tracing = False} 71.79/18.19 interpretation 71.79/18.19 0 St / 1 1 2 \ 71.79/18.19 | 0 1 0 | 71.79/18.19 \ 0 0 1 / 71.79/18.19 1 St / 1 0 2 \ 71.79/18.19 | 0 0 1 | 71.79/18.19 \ 0 0 1 / 71.79/18.19 2 St / 1 0 2 \ 71.79/18.19 | 0 0 0 | 71.79/18.19 \ 0 0 1 / 71.79/18.19 [0, 1, 2] -> [1, 0, 1] 71.79/18.19 lhs rhs ge gt 71.79/18.19 St / 1 0 7 \ St / 1 0 7 \ True False 71.79/18.19 | 0 0 1 | | 0 0 1 | 71.79/18.19 \ 0 0 1 / \ 0 0 1 / 71.79/18.19 [0, 0, 0] -> [2, 2, 2] 71.79/18.19 lhs rhs ge gt 71.79/18.19 St / 1 3 6 \ St / 1 0 6 \ True False 71.79/18.19 | 0 1 0 | | 0 0 0 | 71.79/18.19 \ 0 0 1 / \ 0 0 1 / 71.79/18.19 [1, 0, 1] ->= [2, 1, 1] 71.79/18.19 lhs rhs ge gt 71.79/18.19 St / 1 0 7 \ St / 1 0 6 \ True True 71.79/18.19 | 0 0 1 | | 0 0 0 | 71.79/18.19 \ 0 0 1 / \ 0 0 1 / 71.79/18.19 [1, 1, 1] ->= [1, 1, 1] 71.79/18.19 lhs rhs ge gt 71.79/18.19 St / 1 0 6 \ St / 1 0 6 \ True False 71.79/18.19 | 0 0 1 | | 0 0 1 | 71.79/18.19 \ 0 0 1 / \ 0 0 1 / 71.79/18.19 [1, 1, 2] ->= [0, 2, 1] 71.79/18.19 lhs rhs ge gt 71.79/18.19 St / 1 0 6 \ St / 1 0 6 \ True False 71.79/18.19 | 0 0 1 | | 0 0 0 | 71.79/18.19 \ 0 0 1 / \ 0 0 1 / 71.79/18.19 [2, 1, 0] ->= [0, 2, 0] 71.79/18.19 lhs rhs ge gt 71.79/18.19 St / 1 1 6 \ St / 1 1 6 \ True False 71.79/18.19 | 0 0 0 | | 0 0 0 | 71.79/18.19 \ 0 0 1 / \ 0 0 1 / 71.79/18.19 [2, 1, 0] ->= [2, 1, 2] 71.79/18.20 lhs rhs ge gt 71.79/18.20 St / 1 1 6 \ St / 1 0 6 \ True False 71.79/18.20 | 0 0 0 | | 0 0 0 | 71.79/18.20 \ 0 0 1 / \ 0 0 1 / 71.79/18.20 property Termination 71.79/18.20 has value True 71.79/18.20 for SRS ( [0, 1, 2] -> [1, 0, 1], [0, 0, 0] -> [2, 2, 2], [1, 1, 1] ->= [1, 1, 1], [1, 1, 2] ->= [0, 2, 1], [2, 1, 0] ->= [0, 2, 0], [2, 1, 0] ->= [2, 1, 2]) 71.79/18.20 reason 71.79/18.20 Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 71.79/18.20 interpretation 71.79/18.20 0 St / 1 1 0 1 \ 71.79/18.20 | 0 1 1 0 | 71.79/18.20 | 0 2 0 0 | 71.79/18.20 \ 0 0 0 1 / 71.79/18.20 1 St / 1 0 0 1 \ 71.79/18.20 | 1 0 0 0 | 71.79/18.20 | 1 0 0 0 | 71.79/18.20 \ 0 0 0 1 / 71.79/18.20 2 St / 1 0 0 1 \ 71.79/18.20 | 0 0 0 0 | 71.79/18.20 | 0 0 0 0 | 71.79/18.20 \ 0 0 0 1 / 71.79/18.20 [0, 1, 2] -> [1, 0, 1] 71.79/18.20 lhs rhs ge gt 71.79/18.20 St / 2 0 0 4 \ St / 2 0 0 3 \ True True 71.79/18.20 | 2 0 0 2 | | 2 0 0 2 | 71.79/18.20 | 2 0 0 2 | | 2 0 0 2 | 71.79/18.20 \ 0 0 0 1 / \ 0 0 0 1 / 71.79/18.20 [0, 0, 0] -> [2, 2, 2] 71.79/18.20 lhs rhs ge gt 71.79/18.20 St / 1 5 2 3 \ St / 1 0 0 3 \ True False 71.79/18.20 | 0 5 3 0 | | 0 0 0 0 | 71.79/18.20 | 0 6 2 0 | | 0 0 0 0 | 71.79/18.20 \ 0 0 0 1 / \ 0 0 0 1 / 71.79/18.20 [1, 1, 1] ->= [1, 1, 1] 71.79/18.20 lhs rhs ge gt 71.79/18.20 St / 1 0 0 3 \ St / 1 0 0 3 \ True False 71.79/18.20 | 1 0 0 2 | | 1 0 0 2 | 71.79/18.20 | 1 0 0 2 | | 1 0 0 2 | 71.79/18.20 \ 0 0 0 1 / \ 0 0 0 1 / 71.79/18.20 [1, 1, 2] ->= [0, 2, 1] 71.79/18.20 lhs rhs ge gt 71.79/18.20 St / 1 0 0 3 \ St / 1 0 0 3 \ True False 71.79/18.20 | 1 0 0 2 | | 0 0 0 0 | 71.79/18.20 | 1 0 0 2 | | 0 0 0 0 | 71.79/18.20 \ 0 0 0 1 / \ 0 0 0 1 / 71.79/18.20 [2, 1, 0] ->= [0, 2, 0] 71.79/18.20 lhs rhs ge gt 71.79/18.20 St / 1 1 0 3 \ St / 1 1 0 3 \ True False 71.79/18.20 | 0 0 0 0 | | 0 0 0 0 | 71.79/18.20 | 0 0 0 0 | | 0 0 0 0 | 71.79/18.20 \ 0 0 0 1 / \ 0 0 0 1 / 71.79/18.20 [2, 1, 0] ->= [2, 1, 2] 71.79/18.20 lhs rhs ge gt 71.79/18.20 St / 1 1 0 3 \ St / 1 0 0 3 \ True False 71.79/18.20 | 0 0 0 0 | | 0 0 0 0 | 71.79/18.20 | 0 0 0 0 | | 0 0 0 0 | 71.79/18.20 \ 0 0 0 1 / \ 0 0 0 1 / 71.79/18.20 property Termination 71.79/18.20 has value True 71.79/18.20 for SRS ( [0, 0, 0] -> [2, 2, 2], [1, 1, 1] ->= [1, 1, 1], [1, 1, 2] ->= [0, 2, 1], [2, 1, 0] ->= [0, 2, 0], [2, 1, 0] ->= [2, 1, 2]) 71.79/18.20 reason 71.79/18.20 weights 71.79/18.20 Map [(0, 2/1), (1, 3/1)] 71.79/18.20 71.79/18.20 property Termination 71.79/18.20 has value True 71.79/18.20 for SRS ( [1, 1, 1] ->= [1, 1, 1]) 71.79/18.20 reason 71.79/18.20 has no strict rules 71.79/18.20 71.79/18.20 ************************************************** 71.79/18.20 summary 71.79/18.20 ************************************************** 71.79/18.20 SRS with 7 rules on 3 letters Remap { tracing = False} 71.79/18.20 SRS with 7 rules on 3 letters Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 3, solver = Minisatapi, verbose = False, tracing = False} 71.79/18.20 SRS with 6 rules on 3 letters Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 71.79/18.20 SRS with 5 rules on 3 letters weights 71.79/18.20 SRS with 1 rules on 1 letters has no strict rules 71.79/18.20 71.79/18.20 ************************************************** 71.79/18.20 (7, 3)\Matrix{\Natural}{3}(6, 3)\Matrix{\Natural}{4}(5, 3)\Weight(1, 1)[] 71.79/18.20 ************************************************** 71.79/18.21 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))))))} 71.79/18.21 in Apply (Worker Remap) method 72.24/18.33 EOF