42.60/10.81 YES 42.60/10.81 property Termination 42.60/10.81 has value True 42.60/10.81 for SRS ( [a, b, a, a] -> [a, b, b, a], [a, b, a, b] -> [a, b, b, a], [b, b, a, a] -> [a, b, a, a], [b, b, b, b] -> [a, a, a, a]) 42.60/10.81 reason 42.60/10.81 remap for 4 rules 42.60/10.81 property Termination 42.60/10.81 has value True 42.60/10.81 for SRS ( [0, 1, 0, 0] -> [0, 1, 1, 0], [0, 1, 0, 1] -> [0, 1, 1, 0], [1, 1, 0, 0] -> [0, 1, 0, 0], [1, 1, 1, 1] -> [0, 0, 0, 0]) 42.60/10.81 reason 42.60/10.81 reverse each lhs and rhs 42.60/10.81 property Termination 42.60/10.81 has value True 42.60/10.81 for SRS ( [0, 0, 1, 0] -> [0, 1, 1, 0], [1, 0, 1, 0] -> [0, 1, 1, 0], [0, 0, 1, 1] -> [0, 0, 1, 0], [1, 1, 1, 1] -> [0, 0, 0, 0]) 42.60/10.81 reason 42.60/10.81 DP transform 42.60/10.81 property Termination 42.60/10.81 has value True 42.60/10.81 for SRS ( [0, 0, 1, 0] ->= [0, 1, 1, 0], [1, 0, 1, 0] ->= [0, 1, 1, 0], [0, 0, 1, 1] ->= [0, 0, 1, 0], [1, 1, 1, 1] ->= [0, 0, 0, 0], [0#, 0, 1, 0] |-> [0#, 1, 1, 0], [0#, 0, 1, 0] |-> [1#, 1, 0], [1#, 0, 1, 0] |-> [0#, 1, 1, 0], [1#, 0, 1, 0] |-> [1#, 1, 0], [0#, 0, 1, 1] |-> [0#, 0, 1, 0], [0#, 0, 1, 1] |-> [0#, 1, 0], [0#, 0, 1, 1] |-> [1#, 0], [0#, 0, 1, 1] |-> [0#], [1#, 1, 1, 1] |-> [0#, 0, 0, 0], [1#, 1, 1, 1] |-> [0#, 0, 0], [1#, 1, 1, 1] |-> [0#, 0], [1#, 1, 1, 1] |-> [0#]) 42.60/10.81 reason 42.60/10.81 remap for 16 rules 42.60/10.81 property Termination 42.60/10.81 has value True 42.60/10.81 for SRS ( [0, 0, 1, 0] ->= [0, 1, 1, 0], [1, 0, 1, 0] ->= [0, 1, 1, 0], [0, 0, 1, 1] ->= [0, 0, 1, 0], [1, 1, 1, 1] ->= [0, 0, 0, 0], [2, 0, 1, 0] |-> [2, 1, 1, 0], [2, 0, 1, 0] |-> [3, 1, 0], [3, 0, 1, 0] |-> [2, 1, 1, 0], [3, 0, 1, 0] |-> [3, 1, 0], [2, 0, 1, 1] |-> [2, 0, 1, 0], [2, 0, 1, 1] |-> [2, 1, 0], [2, 0, 1, 1] |-> [3, 0], [2, 0, 1, 1] |-> [2], [3, 1, 1, 1] |-> [2, 0, 0, 0], [3, 1, 1, 1] |-> [2, 0, 0], [3, 1, 1, 1] |-> [2, 0], [3, 1, 1, 1] |-> [2]) 42.60/10.81 reason 42.60/10.81 weights 42.60/10.81 Map [(0, 3/1), (1, 3/1), (3, 2/1)] 42.60/10.81 42.60/10.81 property Termination 42.60/10.81 has value True 42.60/10.81 for SRS ( [0, 0, 1, 0] ->= [0, 1, 1, 0], [1, 0, 1, 0] ->= [0, 1, 1, 0], [0, 0, 1, 1] ->= [0, 0, 1, 0], [1, 1, 1, 1] ->= [0, 0, 0, 0], [2, 0, 1, 0] |-> [2, 1, 1, 0], [2, 0, 1, 1] |-> [2, 0, 1, 0]) 42.60/10.81 reason 42.60/10.81 EDG has 1 SCCs 42.60/10.81 property Termination 42.60/10.81 has value True 42.60/10.81 for SRS ( [2, 0, 1, 0] |-> [2, 1, 1, 0], [2, 0, 1, 1] |-> [2, 0, 1, 0], [0, 0, 1, 0] ->= [0, 1, 1, 0], [1, 0, 1, 0] ->= [0, 1, 1, 0], [0, 0, 1, 1] ->= [0, 0, 1, 0], [1, 1, 1, 1] ->= [0, 0, 0, 0]) 42.60/10.81 reason 42.60/10.81 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 42.60/10.81 interpretation 42.60/10.81 0 / 9A 9A 9A \ 42.60/10.81 | 9A 9A 9A | 42.60/10.81 \ 9A 9A 9A / 42.60/10.81 1 / 9A 12A 12A \ 42.60/10.81 | 9A 9A 9A | 42.60/10.81 \ 6A 9A 9A / 42.60/10.81 2 / 4A 4A 6A \ 42.60/10.81 | 4A 4A 6A | 42.60/10.81 \ 4A 4A 6A / 42.60/10.81 [2, 0, 1, 0] |-> [2, 1, 1, 0] 42.60/10.81 lhs rhs ge gt 42.60/10.81 / 36A 36A 36A \ / 34A 34A 34A \ True True 42.60/10.81 | 36A 36A 36A | | 34A 34A 34A | 42.60/10.81 \ 36A 36A 36A / \ 34A 34A 34A / 42.60/10.81 [2, 0, 1, 1] |-> [2, 0, 1, 0] 42.60/10.81 lhs rhs ge gt 42.60/10.81 / 36A 36A 36A \ / 36A 36A 36A \ True False 42.60/10.81 | 36A 36A 36A | | 36A 36A 36A | 42.60/10.81 \ 36A 36A 36A / \ 36A 36A 36A / 42.60/10.81 [0, 0, 1, 0] ->= [0, 1, 1, 0] 42.60/10.81 lhs rhs ge gt 42.60/10.81 / 39A 39A 39A \ / 39A 39A 39A \ True False 42.60/10.81 | 39A 39A 39A | | 39A 39A 39A | 42.60/10.81 \ 39A 39A 39A / \ 39A 39A 39A / 42.60/10.81 [1, 0, 1, 0] ->= [0, 1, 1, 0] 42.60/10.81 lhs rhs ge gt 42.60/10.81 / 42A 42A 42A \ / 39A 39A 39A \ True False 42.60/10.81 | 39A 39A 39A | | 39A 39A 39A | 42.60/10.81 \ 39A 39A 39A / \ 39A 39A 39A / 42.60/10.81 [0, 0, 1, 1] ->= [0, 0, 1, 0] 42.60/10.81 lhs rhs ge gt 42.60/10.81 / 39A 39A 39A \ / 39A 39A 39A \ True False 42.60/10.81 | 39A 39A 39A | | 39A 39A 39A | 42.60/10.81 \ 39A 39A 39A / \ 39A 39A 39A / 42.60/10.81 [1, 1, 1, 1] ->= [0, 0, 0, 0] 42.60/10.81 lhs rhs ge gt 42.60/10.81 / 42A 42A 42A \ / 36A 36A 36A \ True True 42.60/10.81 | 39A 42A 42A | | 36A 36A 36A | 42.60/10.81 \ 39A 39A 39A / \ 36A 36A 36A / 42.60/10.81 property Termination 42.87/10.85 has value True 42.87/10.85 for SRS ( [2, 0, 1, 1] |-> [2, 0, 1, 0], [0, 0, 1, 0] ->= [0, 1, 1, 0], [1, 0, 1, 0] ->= [0, 1, 1, 0], [0, 0, 1, 1] ->= [0, 0, 1, 0], [1, 1, 1, 1] ->= [0, 0, 0, 0]) 42.87/10.85 reason 42.87/10.85 EDG has 1 SCCs 42.87/10.85 property Termination 42.87/10.85 has value True 42.87/10.85 for SRS ( [2, 0, 1, 1] |-> [2, 0, 1, 0], [0, 0, 1, 0] ->= [0, 1, 1, 0], [1, 0, 1, 0] ->= [0, 1, 1, 0], [0, 0, 1, 1] ->= [0, 0, 1, 0], [1, 1, 1, 1] ->= [0, 0, 0, 0]) 42.87/10.85 reason 42.87/10.85 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 42.87/10.85 interpretation 42.87/10.85 0 / 0A 5A 5A 5A 5A \ 42.87/10.85 | 0A 5A 5A 5A 5A | 42.87/10.85 | 0A 5A 5A 5A 5A | 42.87/10.85 | 0A 5A 5A 5A 5A | 42.87/10.85 \ 0A 0A 0A 5A 5A / 42.87/10.85 1 / 10A 10A 10A 10A 10A \ 42.87/10.85 | 5A 5A 5A 10A 10A | 42.87/10.85 | 5A 5A 5A 5A 5A | 42.87/10.85 | 5A 5A 5A 5A 5A | 42.87/10.85 \ 5A 5A 5A 5A 5A / 42.87/10.85 2 / 1A 1A 1A 1A 2A \ 42.87/10.85 | 1A 1A 1A 1A 2A | 42.87/10.85 | 1A 1A 1A 1A 2A | 42.87/10.85 | 1A 1A 1A 1A 2A | 42.87/10.85 \ 1A 1A 1A 1A 2A / 42.87/10.85 [2, 0, 1, 1] |-> [2, 0, 1, 0] 42.87/10.85 lhs rhs ge gt 42.87/10.85 / 22A 22A 22A 22A 22A \ / 16A 21A 21A 21A 21A \ True True 42.87/10.85 | 22A 22A 22A 22A 22A | | 16A 21A 21A 21A 21A | 42.87/10.85 | 22A 22A 22A 22A 22A | | 16A 21A 21A 21A 21A | 42.87/10.85 | 22A 22A 22A 22A 22A | | 16A 21A 21A 21A 21A | 42.87/10.85 \ 22A 22A 22A 22A 22A / \ 16A 21A 21A 21A 21A / 42.87/10.85 [0, 0, 1, 0] ->= [0, 1, 1, 0] 42.87/10.85 lhs rhs ge gt 42.87/10.85 / 20A 25A 25A 25A 25A \ / 20A 25A 25A 25A 25A \ True False 42.87/10.85 | 20A 25A 25A 25A 25A | | 20A 25A 25A 25A 25A | 42.87/10.85 | 20A 25A 25A 25A 25A | | 20A 25A 25A 25A 25A | 42.87/10.85 | 20A 25A 25A 25A 25A | | 20A 25A 25A 25A 25A | 42.87/10.85 \ 20A 25A 25A 25A 25A / \ 20A 25A 25A 25A 25A / 42.87/10.85 [1, 0, 1, 0] ->= [0, 1, 1, 0] 42.87/10.85 lhs rhs ge gt 42.87/10.85 / 25A 30A 30A 30A 30A \ / 20A 25A 25A 25A 25A \ True False 42.87/10.85 | 25A 30A 30A 30A 30A | | 20A 25A 25A 25A 25A | 42.87/10.85 | 20A 25A 25A 25A 25A | | 20A 25A 25A 25A 25A | 42.87/10.85 | 20A 25A 25A 25A 25A | | 20A 25A 25A 25A 25A | 42.87/10.85 \ 20A 25A 25A 25A 25A / \ 20A 25A 25A 25A 25A / 42.87/10.85 [0, 0, 1, 1] ->= [0, 0, 1, 0] 42.87/10.85 lhs rhs ge gt 42.87/10.85 / 25A 25A 25A 25A 25A \ / 20A 25A 25A 25A 25A \ True False 42.87/10.85 | 25A 25A 25A 25A 25A | | 20A 25A 25A 25A 25A | 42.87/10.85 | 25A 25A 25A 25A 25A | | 20A 25A 25A 25A 25A | 42.87/10.85 | 25A 25A 25A 25A 25A | | 20A 25A 25A 25A 25A | 42.87/10.85 \ 25A 25A 25A 25A 25A / \ 20A 25A 25A 25A 25A / 42.87/10.85 [1, 1, 1, 1] ->= [0, 0, 0, 0] 42.87/10.85 lhs rhs ge gt 42.87/10.85 / 40A 40A 40A 40A 40A \ / 15A 20A 20A 20A 20A \ True True 42.87/10.85 | 35A 35A 35A 35A 35A | | 15A 20A 20A 20A 20A | 42.87/10.85 | 35A 35A 35A 35A 35A | | 15A 20A 20A 20A 20A | 42.87/10.85 | 35A 35A 35A 35A 35A | | 15A 20A 20A 20A 20A | 42.87/10.85 \ 35A 35A 35A 35A 35A / \ 15A 20A 20A 20A 20A / 42.87/10.85 property Termination 42.87/10.85 has value True 42.87/10.85 for SRS ( [0, 0, 1, 0] ->= [0, 1, 1, 0], [1, 0, 1, 0] ->= [0, 1, 1, 0], [0, 0, 1, 1] ->= [0, 0, 1, 0], [1, 1, 1, 1] ->= [0, 0, 0, 0]) 42.87/10.85 reason 42.87/10.85 EDG has 0 SCCs 42.87/10.85 42.87/10.85 ************************************************** 42.87/10.85 summary 42.87/10.85 ************************************************** 42.87/10.85 SRS with 4 rules on 2 letters Remap { tracing = False} 42.87/10.85 SRS with 4 rules on 2 letters reverse each lhs and rhs 42.87/10.85 SRS with 4 rules on 2 letters DP transform 42.87/10.85 SRS with 16 rules on 4 letters Remap { tracing = False} 42.87/10.85 SRS with 16 rules on 4 letters weights 42.87/10.85 SRS with 6 rules on 3 letters EDG 42.87/10.86 SRS with 6 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 42.87/10.86 SRS with 5 rules on 3 letters EDG 42.87/10.86 SRS with 5 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 42.87/10.86 SRS with 4 rules on 2 letters EDG 42.87/10.86 42.87/10.86 ************************************************** 42.87/10.86 (4, 2)\Deepee(16, 4)\Weight(6, 3)\Matrix{\Arctic}{3}(5, 3)\Matrix{\Arctic}{5}(4, 2)\EDG[] 42.87/10.86 ************************************************** 42.94/10.89 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]} 42.94/10.89 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 43.32/11.06 EOF