49.02/12.38 YES 49.02/12.38 property Termination 49.02/12.38 has value True 49.02/12.38 for SRS ( [a] -> [], [a, b] -> [b, b, a, a, c, a], [c, c, a] -> []) 49.02/12.38 reason 49.02/12.38 remap for 3 rules 49.02/12.38 property Termination 49.02/12.38 has value True 49.02/12.38 for SRS ( [0] -> [], [0, 1] -> [1, 1, 0, 0, 2, 0], [2, 2, 0] -> []) 49.02/12.38 reason 49.02/12.38 reverse each lhs and rhs 49.02/12.38 property Termination 49.02/12.38 has value True 49.02/12.38 for SRS ( [0] -> [], [1, 0] -> [0, 2, 0, 0, 1, 1], [0, 2, 2] -> []) 49.02/12.38 reason 49.02/12.38 DP transform 49.02/12.38 property Termination 49.02/12.38 has value True 49.02/12.38 for SRS ( [0] ->= [], [1, 0] ->= [0, 2, 0, 0, 1, 1], [0, 2, 2] ->= [], [1#, 0] |-> [0#, 2, 0, 0, 1, 1], [1#, 0] |-> [0#, 0, 1, 1], [1#, 0] |-> [0#, 1, 1], [1#, 0] |-> [1#, 1], [1#, 0] |-> [1#]) 49.02/12.38 reason 49.02/12.38 remap for 8 rules 49.02/12.38 property Termination 49.02/12.38 has value True 49.02/12.39 for SRS ( [0] ->= [], [1, 0] ->= [0, 2, 0, 0, 1, 1], [0, 2, 2] ->= [], [3, 0] |-> [4, 2, 0, 0, 1, 1], [3, 0] |-> [4, 0, 1, 1], [3, 0] |-> [4, 1, 1], [3, 0] |-> [3, 1], [3, 0] |-> [3]) 49.02/12.39 reason 49.02/12.39 weights 49.02/12.40 Map [(3, 3/1)] 49.02/12.40 49.02/12.40 property Termination 49.02/12.40 has value True 49.70/12.59 for SRS ( [0] ->= [], [1, 0] ->= [0, 2, 0, 0, 1, 1], [0, 2, 2] ->= [], [3, 0] |-> [3, 1], [3, 0] |-> [3]) 49.70/12.59 reason 49.70/12.59 EDG has 1 SCCs 49.70/12.59 property Termination 49.70/12.59 has value True 49.70/12.60 for SRS ( [3, 0] |-> [3, 1], [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [0, 2, 0, 0, 1, 1], [0, 2, 2] ->= []) 49.70/12.60 reason 49.70/12.60 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 49.70/12.60 interpretation 49.70/12.60 0 Wk / 0A - 1A 0A \ 49.70/12.60 | 2A 0A 0A - | 49.70/12.60 | 0A - 3A 3A | 49.70/12.60 \ - - - 0A / 49.70/12.60 1 Wk / - - 1A 1A \ 49.70/12.60 | - - 3A 0A | 49.70/12.60 | - - 0A 0A | 49.70/12.60 \ - - - 0A / 49.70/12.60 2 Wk / - 0A - 0A \ 49.70/12.60 | 2A 0A 0A - | 49.70/12.60 | - - - - | 49.70/12.60 \ - - - 0A / 49.70/12.60 3 Wk / 5A - 4A 4A \ 49.70/12.60 | - - - - | 49.70/12.60 | - - - - | 49.70/12.60 \ - - - 0A / 49.70/12.60 [3, 0] |-> [3, 1] 49.70/12.61 lhs rhs ge gt 49.70/12.61 Wk / 5A - 7A 7A \ Wk / - - 6A 6A \ True True 49.70/12.61 | - - - - | | - - - - | 49.70/12.61 | - - - - | | - - - - | 49.70/12.61 \ - - - 0A / \ - - - 0A / 49.70/12.61 [3, 0] |-> [3] 49.70/12.61 lhs rhs ge gt 49.70/12.61 Wk / 5A - 7A 7A \ Wk / 5A - 4A 4A \ True False 49.70/12.61 | - - - - | | - - - - | 49.70/12.61 | - - - - | | - - - - | 49.70/12.61 \ - - - 0A / \ - - - 0A / 49.70/12.61 [0] ->= [] 49.98/12.63 lhs rhs ge gt 49.98/12.63 Wk / 0A - 1A 0A \ Wk / 0A - - - \ True False 49.98/12.63 | 2A 0A 0A - | | - 0A - - | 49.98/12.63 | 0A - 3A 3A | | - - 0A - | 49.98/12.63 \ - - - 0A / \ - - - 0A / 49.98/12.64 [1, 0] ->= [0, 2, 0, 0, 1, 1] 49.98/12.64 lhs rhs ge gt 49.98/12.64 Wk / 1A - 4A 4A \ Wk / - - 3A 3A \ True False 49.98/12.64 | 3A - 6A 6A | | - - 6A 6A | 49.98/12.64 | 0A - 3A 3A | | - - 3A 3A | 49.98/12.64 \ - - - 0A / \ - - - 0A / 49.98/12.64 [0, 2, 2] ->= [] 49.98/12.65 lhs rhs ge gt 49.98/12.65 Wk / 2A 0A 0A 0A \ Wk / 0A - - - \ True False 49.98/12.65 | 4A 2A 2A 2A | | - 0A - - | 49.98/12.66 | 2A 0A 0A 3A | | - - 0A - | 49.98/12.66 \ - - - 0A / \ - - - 0A / 49.98/12.66 property Termination 49.98/12.66 has value True 49.98/12.66 for SRS ( [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [0, 2, 0, 0, 1, 1], [0, 2, 2] ->= []) 49.98/12.66 reason 49.98/12.66 EDG has 1 SCCs 49.98/12.66 property Termination 49.98/12.66 has value True 49.98/12.67 for SRS ( [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [0, 2, 0, 0, 1, 1], [0, 2, 2] ->= []) 49.98/12.67 reason 49.98/12.67 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 49.98/12.67 interpretation 49.98/12.67 0 Wk / 0A - 2A 5A \ 49.98/12.67 | - 0A - 5A | 49.98/12.67 | 0A - 2A 5A | 49.98/12.67 \ - - - 0A / 50.25/12.68 1 Wk / - - 0A 2A \ 50.25/12.68 | 2A - 0A - | 50.25/12.68 | 0A - - 3A | 50.25/12.68 \ - - - 0A / 50.25/12.68 2 Wk / - 0A - 4A \ 50.25/12.68 | 0A - 0A 5A | 50.25/12.68 | - - - - | 50.25/12.68 \ - - - 0A / 50.25/12.70 3 Wk / 0A - 1A - \ 50.25/12.70 | - - - - | 50.25/12.70 | - - - - | 50.25/12.70 \ - - - 0A / 50.25/12.70 [3, 0] |-> [3] 50.25/12.71 lhs rhs ge gt 50.25/12.71 Wk / 1A - 3A 6A \ Wk / 0A - 1A - \ True True 50.25/12.71 | - - - - | | - - - - | 50.25/12.71 | - - - - | | - - - - | 50.25/12.73 \ - - - 0A / \ - - - 0A / 50.25/12.73 [0] ->= [] 50.25/12.73 lhs rhs ge gt 50.25/12.73 Wk / 0A - 2A 5A \ Wk / 0A - - - \ True False 50.25/12.73 | - 0A - 5A | | - 0A - - | 50.25/12.73 | 0A - 2A 5A | | - - 0A - | 50.25/12.73 \ - - - 0A / \ - - - 0A / 50.25/12.74 [1, 0] ->= [0, 2, 0, 0, 1, 1] 50.25/12.75 lhs rhs ge gt 50.25/12.75 Wk / 0A - 2A 5A \ Wk / 0A - 2A 5A \ True False 50.25/12.75 | 2A - 4A 7A | | 2A - 4A 7A | 50.25/12.75 | 0A - 2A 5A | | 0A - 2A 5A | 50.25/12.75 \ - - - 0A / \ - - - 0A / 50.25/12.75 [0, 2, 2] ->= [] 50.25/12.76 lhs rhs ge gt 50.25/12.76 Wk / 0A - 0A 5A \ Wk / 0A - - - \ True False 50.25/12.76 | - 0A - 5A | | - 0A - - | 50.25/12.76 | 0A - 0A 5A | | - - 0A - | 50.25/12.76 \ - - - 0A / \ - - - 0A / 50.25/12.76 property Termination 50.25/12.76 has value True 50.25/12.76 for SRS ( [0] ->= [], [1, 0] ->= [0, 2, 0, 0, 1, 1], [0, 2, 2] ->= []) 50.25/12.76 reason 50.25/12.76 EDG has 0 SCCs 50.25/12.76 50.25/12.76 ************************************************** 50.60/12.77 summary 50.60/12.77 ************************************************** 50.60/12.77 SRS with 3 rules on 3 letters Remap { tracing = False} 50.60/12.77 SRS with 3 rules on 3 letters reverse each lhs and rhs 50.60/12.77 SRS with 3 rules on 3 letters DP transform 50.60/12.78 SRS with 8 rules on 5 letters Remap { tracing = False} 50.60/12.78 SRS with 8 rules on 5 letters weights 50.60/12.78 SRS with 5 rules on 4 letters EDG 50.60/12.78 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 50.60/12.78 SRS with 4 rules on 4 letters EDG 50.60/12.78 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 50.60/12.78 SRS with 3 rules on 3 letters EDG 50.60/12.78 50.60/12.78 ************************************************** 50.60/12.78 (3, 3)\Deepee(8, 5)\Weight(5, 4)\Matrix{\Arctic}{4}(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[] 50.60/12.78 ************************************************** 51.48/13.01 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]} 51.48/13.01 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 51.85/13.17 EOF