34.37/8.72 YES 34.37/8.72 property Termination 34.37/8.72 has value True 34.37/8.72 for SRS ( [a, a, a, a] -> [a, b, a, b], [b, b, a, b] -> [b, b, b, b], [a, a, a, b] -> [b, a, b, b], [b, a, b, b] -> [b, a, b, a]) 34.37/8.72 reason 34.37/8.72 remap for 4 rules 34.37/8.72 property Termination 34.37/8.72 has value True 34.37/8.72 for SRS ( [0, 0, 0, 0] -> [0, 1, 0, 1], [1, 1, 0, 1] -> [1, 1, 1, 1], [0, 0, 0, 1] -> [1, 0, 1, 1], [1, 0, 1, 1] -> [1, 0, 1, 0]) 34.37/8.72 reason 34.37/8.72 reverse each lhs and rhs 34.37/8.72 property Termination 34.37/8.72 has value True 34.37/8.73 for SRS ( [0, 0, 0, 0] -> [1, 0, 1, 0], [1, 0, 1, 1] -> [1, 1, 1, 1], [1, 0, 0, 0] -> [1, 1, 0, 1], [1, 1, 0, 1] -> [0, 1, 0, 1]) 34.37/8.73 reason 34.37/8.73 DP transform 34.37/8.73 property Termination 34.37/8.73 has value True 34.37/8.75 for SRS ( [0, 0, 0, 0] ->= [1, 0, 1, 0], [1, 0, 1, 1] ->= [1, 1, 1, 1], [1, 0, 0, 0] ->= [1, 1, 0, 1], [1, 1, 0, 1] ->= [0, 1, 0, 1], [0#, 0, 0, 0] |-> [1#, 0, 1, 0], [0#, 0, 0, 0] |-> [0#, 1, 0], [0#, 0, 0, 0] |-> [1#, 0], [1#, 0, 1, 1] |-> [1#, 1, 1, 1], [1#, 0, 1, 1] |-> [1#, 1, 1], [1#, 0, 0, 0] |-> [1#, 1, 0, 1], [1#, 0, 0, 0] |-> [1#, 0, 1], [1#, 0, 0, 0] |-> [0#, 1], [1#, 0, 0, 0] |-> [1#], [1#, 1, 0, 1] |-> [0#, 1, 0, 1]) 34.37/8.75 reason 34.37/8.75 remap for 14 rules 34.37/8.75 property Termination 34.37/8.75 has value True 34.37/8.76 for SRS ( [0, 0, 0, 0] ->= [1, 0, 1, 0], [1, 0, 1, 1] ->= [1, 1, 1, 1], [1, 0, 0, 0] ->= [1, 1, 0, 1], [1, 1, 0, 1] ->= [0, 1, 0, 1], [2, 0, 0, 0] |-> [3, 0, 1, 0], [2, 0, 0, 0] |-> [2, 1, 0], [2, 0, 0, 0] |-> [3, 0], [3, 0, 1, 1] |-> [3, 1, 1, 1], [3, 0, 1, 1] |-> [3, 1, 1], [3, 0, 0, 0] |-> [3, 1, 0, 1], [3, 0, 0, 0] |-> [3, 0, 1], [3, 0, 0, 0] |-> [2, 1], [3, 0, 0, 0] |-> [3], [3, 1, 0, 1] |-> [2, 1, 0, 1]) 34.37/8.76 reason 34.37/8.76 weights 34.37/8.76 Map [(0, 1/10), (1, 1/10)] 34.37/8.76 34.37/8.76 property Termination 34.37/8.76 has value True 34.37/8.76 for SRS ( [0, 0, 0, 0] ->= [1, 0, 1, 0], [1, 0, 1, 1] ->= [1, 1, 1, 1], [1, 0, 0, 0] ->= [1, 1, 0, 1], [1, 1, 0, 1] ->= [0, 1, 0, 1], [2, 0, 0, 0] |-> [3, 0, 1, 0], [3, 0, 1, 1] |-> [3, 1, 1, 1], [3, 0, 0, 0] |-> [3, 1, 0, 1], [3, 1, 0, 1] |-> [2, 1, 0, 1]) 34.37/8.76 reason 34.37/8.76 EDG has 1 SCCs 34.37/8.76 property Termination 34.37/8.76 has value True 34.37/8.76 for SRS ( [2, 0, 0, 0] |-> [3, 0, 1, 0], [3, 1, 0, 1] |-> [2, 1, 0, 1], [3, 0, 0, 0] |-> [3, 1, 0, 1], [3, 0, 1, 1] |-> [3, 1, 1, 1], [0, 0, 0, 0] ->= [1, 0, 1, 0], [1, 0, 1, 1] ->= [1, 1, 1, 1], [1, 0, 0, 0] ->= [1, 1, 0, 1], [1, 1, 0, 1] ->= [0, 1, 0, 1]) 34.37/8.76 reason 34.37/8.76 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 34.37/8.76 interpretation 34.37/8.76 0 / 2A 2A \ 34.37/8.76 \ 0A 0A / 34.37/8.76 1 / 0A 2A \ 34.37/8.76 \ 0A 0A / 34.37/8.76 2 / 12A 12A \ 34.37/8.76 \ 12A 12A / 34.37/8.76 3 / 13A 13A \ 34.37/8.76 \ 13A 13A / 34.37/8.76 [2, 0, 0, 0] |-> [3, 0, 1, 0] 34.37/8.77 lhs rhs ge gt 34.37/8.77 / 18A 18A \ / 17A 17A \ True True 34.37/8.77 \ 18A 18A / \ 17A 17A / 34.37/8.77 [3, 1, 0, 1] |-> [2, 1, 0, 1] 34.37/8.77 lhs rhs ge gt 34.37/8.77 / 15A 17A \ / 14A 16A \ True True 34.37/8.77 \ 15A 17A / \ 14A 16A / 34.37/8.77 [3, 0, 0, 0] |-> [3, 1, 0, 1] 34.37/8.77 lhs rhs ge gt 34.37/8.77 / 19A 19A \ / 15A 17A \ True True 34.37/8.77 \ 19A 19A / \ 15A 17A / 34.37/8.77 [3, 0, 1, 1] |-> [3, 1, 1, 1] 34.37/8.77 lhs rhs ge gt 34.37/8.77 / 17A 17A \ / 15A 17A \ True False 34.37/8.77 \ 17A 17A / \ 15A 17A / 34.37/8.77 [0, 0, 0, 0] ->= [1, 0, 1, 0] 34.37/8.77 lhs rhs ge gt 34.37/8.77 / 8A 8A \ / 4A 4A \ True True 34.37/8.77 \ 6A 6A / \ 4A 4A / 34.37/8.77 [1, 0, 1, 1] ->= [1, 1, 1, 1] 34.37/8.77 lhs rhs ge gt 34.37/8.77 / 4A 4A \ / 4A 4A \ True False 34.37/8.77 \ 4A 4A / \ 2A 4A / 34.37/8.77 [1, 0, 0, 0] ->= [1, 1, 0, 1] 34.37/8.77 lhs rhs ge gt 34.37/8.77 / 6A 6A \ / 4A 6A \ True False 34.37/8.77 \ 6A 6A / \ 2A 4A / 34.37/8.77 [1, 1, 0, 1] ->= [0, 1, 0, 1] 34.37/8.77 lhs rhs ge gt 34.37/8.77 / 4A 6A \ / 4A 6A \ True False 34.37/8.77 \ 2A 4A / \ 2A 4A / 34.37/8.77 property Termination 34.37/8.77 has value True 34.37/8.77 for SRS ( [3, 0, 1, 1] |-> [3, 1, 1, 1], [0, 0, 0, 0] ->= [1, 0, 1, 0], [1, 0, 1, 1] ->= [1, 1, 1, 1], [1, 0, 0, 0] ->= [1, 1, 0, 1], [1, 1, 0, 1] ->= [0, 1, 0, 1]) 34.37/8.77 reason 34.37/8.77 EDG has 1 SCCs 34.37/8.77 property Termination 34.37/8.77 has value True 34.37/8.77 for SRS ( [3, 0, 1, 1] |-> [3, 1, 1, 1], [0, 0, 0, 0] ->= [1, 0, 1, 0], [1, 0, 1, 1] ->= [1, 1, 1, 1], [1, 0, 0, 0] ->= [1, 1, 0, 1], [1, 1, 0, 1] ->= [0, 1, 0, 1]) 34.37/8.77 reason 34.37/8.77 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 34.37/8.77 interpretation 34.37/8.77 0 / 10A 10A 15A 15A 15A \ 34.37/8.77 | 10A 10A 15A 15A 15A | 34.37/8.77 | 10A 10A 10A 15A 15A | 34.37/8.78 | 10A 10A 10A 15A 15A | 34.37/8.78 \ 10A 10A 10A 15A 15A / 34.37/8.78 1 / 10A 15A 15A 15A 15A \ 34.37/8.78 | 10A 10A 10A 10A 15A | 34.37/8.78 | 10A 10A 10A 10A 10A | 34.37/8.78 | 10A 10A 10A 10A 10A | 34.66/8.79 \ 5A 10A 10A 10A 10A / 34.66/8.79 3 / 3A 6A 6A 6A 8A \ 34.70/8.80 | 3A 6A 6A 6A 8A | 34.79/8.84 | 3A 6A 6A 6A 8A | 34.79/8.84 | 3A 6A 6A 6A 8A | 34.79/8.85 \ 3A 6A 6A 6A 8A / 35.15/8.95 [3, 0, 1, 1] |-> [3, 1, 1, 1] 35.15/8.95 lhs rhs ge gt 35.15/8.95 / 43A 48A 48A 48A 48A \ / 41A 43A 43A 43A 46A \ True True 35.15/8.95 | 43A 48A 48A 48A 48A | | 41A 43A 43A 43A 46A | 35.15/8.95 | 43A 48A 48A 48A 48A | | 41A 43A 43A 43A 46A | 35.15/8.95 | 43A 48A 48A 48A 48A | | 41A 43A 43A 43A 46A | 35.15/8.95 \ 43A 48A 48A 48A 48A / \ 41A 43A 43A 43A 46A / 35.15/8.95 [0, 0, 0, 0] ->= [1, 0, 1, 0] 35.15/8.95 lhs rhs ge gt 35.15/8.95 / 55A 55A 55A 60A 60A \ / 50A 50A 55A 55A 55A \ True False 35.15/8.95 | 55A 55A 55A 60A 60A | | 50A 50A 55A 55A 55A | 35.15/8.95 | 55A 55A 55A 60A 60A | | 45A 45A 50A 50A 50A | 35.15/8.95 | 55A 55A 55A 60A 60A | | 45A 45A 50A 50A 50A | 35.15/8.95 \ 55A 55A 55A 60A 60A / \ 45A 45A 50A 50A 50A / 35.15/8.95 [1, 0, 1, 1] ->= [1, 1, 1, 1] 35.15/8.95 lhs rhs ge gt 35.15/8.95 / 50A 55A 55A 55A 55A \ / 50A 50A 50A 50A 55A \ True False 35.15/8.95 | 50A 55A 55A 55A 55A | | 45A 50A 50A 50A 50A | 35.15/8.95 | 45A 50A 50A 50A 50A | | 45A 50A 50A 50A 50A | 35.15/8.95 | 45A 50A 50A 50A 50A | | 45A 50A 50A 50A 50A | 35.15/8.95 \ 45A 50A 50A 50A 50A / \ 45A 45A 45A 45A 50A / 35.15/8.95 [1, 0, 0, 0] ->= [1, 1, 0, 1] 35.15/8.95 lhs rhs ge gt 35.15/8.95 / 55A 55A 55A 60A 60A \ / 55A 55A 55A 55A 55A \ True False 35.15/8.95 | 55A 55A 55A 60A 60A | | 50A 50A 50A 50A 50A | 35.15/8.95 | 50A 50A 50A 55A 55A | | 50A 50A 50A 50A 50A | 35.15/8.95 | 50A 50A 50A 55A 55A | | 50A 50A 50A 50A 50A | 35.15/8.95 \ 50A 50A 50A 55A 55A / \ 50A 50A 50A 50A 50A / 35.15/8.95 [1, 1, 0, 1] ->= [0, 1, 0, 1] 35.15/8.95 lhs rhs ge gt 35.15/8.95 / 55A 55A 55A 55A 55A \ / 50A 50A 50A 50A 50A \ True False 35.15/8.95 | 50A 50A 50A 50A 50A | | 50A 50A 50A 50A 50A | 35.15/8.95 | 50A 50A 50A 50A 50A | | 50A 50A 50A 50A 50A | 35.15/8.95 | 50A 50A 50A 50A 50A | | 50A 50A 50A 50A 50A | 35.15/8.95 \ 50A 50A 50A 50A 50A / \ 50A 50A 50A 50A 50A / 35.15/8.95 property Termination 35.15/8.95 has value True 35.15/8.95 for SRS ( [0, 0, 0, 0] ->= [1, 0, 1, 0], [1, 0, 1, 1] ->= [1, 1, 1, 1], [1, 0, 0, 0] ->= [1, 1, 0, 1], [1, 1, 0, 1] ->= [0, 1, 0, 1]) 35.15/8.95 reason 35.15/8.95 EDG has 0 SCCs 35.15/8.95 35.15/8.95 ************************************************** 35.15/8.95 summary 35.15/8.95 ************************************************** 35.15/8.95 SRS with 4 rules on 2 letters Remap { tracing = False} 35.15/8.95 SRS with 4 rules on 2 letters reverse each lhs and rhs 35.15/8.95 SRS with 4 rules on 2 letters DP transform 35.15/8.95 SRS with 14 rules on 4 letters Remap { tracing = False} 35.15/8.95 SRS with 14 rules on 4 letters weights 35.15/8.95 SRS with 8 rules on 4 letters EDG 35.15/8.95 SRS with 8 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 35.15/8.95 SRS with 5 rules on 3 letters EDG 35.15/8.95 SRS with 5 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 35.15/8.95 SRS with 4 rules on 2 letters EDG 35.15/8.95 35.15/8.95 ************************************************** 35.15/8.95 (4, 2)\Deepee(14, 4)\Weight(8, 4)\Matrix{\Arctic}{2}(5, 3)\Matrix{\Arctic}{5}(4, 2)\EDG[] 35.15/8.95 ************************************************** 35.46/9.02 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;tiling = \ m w -> weighted (And_Then (Worker (Tiling { method = m,width = w})) (Worker Remap));when_small = \ m -> And_Then (Worker (SizeAtmost 100)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;solver = Minisatapi;qpi = \ dim bits -> weighted (when_small (Worker (QPI { tracing = True,dim = dim,bits = bits,solver = solver})));matrix = \ dom dim bits -> weighted (when_small (Worker (Matrix { monotone = Weak,domain = dom,dim = dim,bits = bits,tracing = False,solver = solver})));kbo = \ b -> weighted (when_small (Worker (KBO { bits = b,solver = solver})));mb = Worker (Matchbound { method = RFC,max_size = 100000});remove = First_Of ([ Worker (Weight { modus = mo})] <> ([ Seq [ qpi 2 4, qpi 3 4, qpi 4 4], Seq [ qpi 5 4, qpi 6 3, qpi 7 3]] <> ([ matrix Arctic 4 3, matrix Natural 4 3] <> [ kbo 1, And_Then (Worker Mirror) (kbo 1)])));remove_tile = Seq [ remove, tiling Overlap 3];dp = As_Transformer (Apply (And_Then (Worker (DP { tracing = False})) (Worker Remap)) (Apply wop (Branch (Worker (EDG { tracing = False})) remove_tile)));noh = [ Timeout 10 (Worker (Enumerate { closure = Forward})), Timeout 10 (Worker (Enumerate { closure = Backward}))];yeah = Tree_Search_Preemptive 0 done [ Worker (Weight { modus = mo}), mb, And_Then (Worker Mirror) mb, dp, And_Then (Worker Mirror) dp]} 35.46/9.02 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 35.79/9.18 EOF