8.01/2.07 YES 8.01/2.07 property Termination 8.01/2.07 has value True 8.31/2.16 for SRS ( [0, 0, 0, 0] -> [0, 0, 0, 1], [1, 0, 0, 1] -> [0, 1, 0, 0]) 8.31/2.16 reason 8.31/2.16 remap for 2 rules 8.31/2.16 property Termination 8.31/2.16 has value True 8.31/2.16 for SRS ( [0, 0, 0, 0] -> [0, 0, 0, 1], [1, 0, 0, 1] -> [0, 1, 0, 0]) 8.31/2.16 reason 8.31/2.16 reverse each lhs and rhs 8.31/2.16 property Termination 8.31/2.16 has value True 8.31/2.16 for SRS ( [0, 0, 0, 0] -> [1, 0, 0, 0], [1, 0, 0, 1] -> [0, 0, 1, 0]) 8.31/2.16 reason 8.31/2.16 DP transform 8.31/2.16 property Termination 8.31/2.16 has value True 8.31/2.16 for SRS ( [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 0, 0, 1] ->= [0, 0, 1, 0], [0#, 0, 0, 0] |-> [1#, 0, 0, 0], [1#, 0, 0, 1] |-> [0#, 0, 1, 0], [1#, 0, 0, 1] |-> [0#, 1, 0], [1#, 0, 0, 1] |-> [1#, 0], [1#, 0, 0, 1] |-> [0#]) 8.31/2.16 reason 8.31/2.16 remap for 7 rules 8.31/2.16 property Termination 8.31/2.16 has value True 8.31/2.16 for SRS ( [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 0, 0, 1] ->= [0, 0, 1, 0], [2, 0, 0, 0] |-> [3, 0, 0, 0], [3, 0, 0, 1] |-> [2, 0, 1, 0], [3, 0, 0, 1] |-> [2, 1, 0], [3, 0, 0, 1] |-> [3, 0], [3, 0, 0, 1] |-> [2]) 8.31/2.16 reason 8.31/2.16 weights 8.31/2.16 Map [(0, 1/6), (1, 1/6)] 8.31/2.16 8.31/2.16 property Termination 8.31/2.16 has value True 8.31/2.16 for SRS ( [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 0, 0, 1] ->= [0, 0, 1, 0], [2, 0, 0, 0] |-> [3, 0, 0, 0], [3, 0, 0, 1] |-> [2, 0, 1, 0]) 8.31/2.16 reason 8.31/2.16 EDG has 1 SCCs 8.31/2.16 property Termination 8.31/2.16 has value True 8.31/2.16 for SRS ( [2, 0, 0, 0] |-> [3, 0, 0, 0], [3, 0, 0, 1] |-> [2, 0, 1, 0], [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 0, 0, 1] ->= [0, 0, 1, 0]) 8.31/2.16 reason 8.31/2.16 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 8.31/2.16 interpretation 8.31/2.16 0 / 5A 10A 10A 10A 10A \ 8.58/2.19 | 5A 10A 10A 10A 10A | 8.58/2.19 | 5A 10A 10A 10A 10A | 8.58/2.19 | 5A 5A 5A 5A 10A | 8.58/2.19 \ 5A 5A 5A 5A 5A / 8.58/2.19 1 / 10A 10A 10A 15A 15A \ 8.58/2.19 | 5A 5A 5A 10A 10A | 8.58/2.19 | 5A 5A 5A 10A 10A | 8.58/2.19 | 5A 5A 5A 10A 10A | 8.58/2.19 \ 5A 5A 5A 10A 10A / 8.58/2.19 2 / 36A 36A 37A 41A 41A \ 8.58/2.19 | 36A 36A 37A 41A 41A | 8.58/2.19 | 36A 36A 37A 41A 41A | 8.58/2.19 | 36A 36A 37A 41A 41A | 8.58/2.19 \ 36A 36A 37A 41A 41A / 8.58/2.19 3 / 36A 36A 36A 41A 41A \ 8.58/2.19 | 36A 36A 36A 41A 41A | 8.58/2.19 | 36A 36A 36A 41A 41A | 8.58/2.19 | 36A 36A 36A 41A 41A | 8.58/2.19 \ 36A 36A 36A 41A 41A / 8.58/2.19 [2, 0, 0, 0] |-> [3, 0, 0, 0] 8.58/2.19 lhs rhs ge gt 8.58/2.19 / 62A 67A 67A 67A 67A \ / 61A 66A 66A 66A 66A \ True True 8.58/2.19 | 62A 67A 67A 67A 67A | | 61A 66A 66A 66A 66A | 8.58/2.19 | 62A 67A 67A 67A 67A | | 61A 66A 66A 66A 66A | 8.58/2.19 | 62A 67A 67A 67A 67A | | 61A 66A 66A 66A 66A | 8.58/2.19 \ 62A 67A 67A 67A 67A / \ 61A 66A 66A 66A 66A / 8.58/2.19 [3, 0, 0, 1] |-> [2, 0, 1, 0] 8.58/2.19 lhs rhs ge gt 8.58/2.19 / 66A 66A 66A 71A 71A \ / 66A 66A 66A 66A 71A \ True False 8.58/2.19 | 66A 66A 66A 71A 71A | | 66A 66A 66A 66A 71A | 8.58/2.19 | 66A 66A 66A 71A 71A | | 66A 66A 66A 66A 71A | 8.58/2.19 | 66A 66A 66A 71A 71A | | 66A 66A 66A 66A 71A | 8.58/2.19 \ 66A 66A 66A 71A 71A / \ 66A 66A 66A 66A 71A / 8.58/2.19 [0, 0, 0, 0] ->= [1, 0, 0, 0] 8.58/2.19 lhs rhs ge gt 8.58/2.19 / 35A 40A 40A 40A 40A \ / 35A 40A 40A 40A 40A \ True False 8.58/2.19 | 35A 40A 40A 40A 40A | | 30A 35A 35A 35A 35A | 8.58/2.19 | 35A 40A 40A 40A 40A | | 30A 35A 35A 35A 35A | 8.58/2.19 | 30A 35A 35A 35A 35A | | 30A 35A 35A 35A 35A | 8.58/2.19 \ 30A 35A 35A 35A 35A / \ 30A 35A 35A 35A 35A / 8.58/2.19 [1, 0, 0, 1] ->= [0, 0, 1, 0] 8.58/2.19 lhs rhs ge gt 8.58/2.19 / 40A 40A 40A 45A 45A \ / 35A 35A 35A 35A 40A \ True False 8.58/2.19 | 35A 35A 35A 40A 40A | | 35A 35A 35A 35A 40A | 8.58/2.19 | 35A 35A 35A 40A 40A | | 35A 35A 35A 35A 40A | 8.58/2.19 | 35A 35A 35A 40A 40A | | 35A 35A 35A 35A 40A | 8.58/2.19 \ 35A 35A 35A 40A 40A / \ 30A 30A 30A 30A 35A / 8.58/2.19 property Termination 8.58/2.19 has value True 8.58/2.19 for SRS ( [3, 0, 0, 1] |-> [2, 0, 1, 0], [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 0, 0, 1] ->= [0, 0, 1, 0]) 8.58/2.19 reason 8.58/2.19 weights 8.58/2.19 Map [(3, 1/1)] 8.58/2.19 8.58/2.19 property Termination 8.58/2.19 has value True 8.58/2.19 for SRS ( [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 0, 0, 1] ->= [0, 0, 1, 0]) 8.58/2.19 reason 8.58/2.19 EDG has 0 SCCs 8.58/2.19 8.58/2.19 ************************************************** 8.58/2.19 summary 8.58/2.19 ************************************************** 8.58/2.19 SRS with 2 rules on 2 letters Remap { tracing = False} 8.58/2.19 SRS with 2 rules on 2 letters reverse each lhs and rhs 8.58/2.19 SRS with 2 rules on 2 letters DP transform 8.58/2.19 SRS with 7 rules on 4 letters Remap { tracing = False} 8.58/2.19 SRS with 7 rules on 4 letters weights 8.58/2.19 SRS with 4 rules on 4 letters EDG 8.58/2.19 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 8.58/2.19 SRS with 3 rules on 4 letters weights 8.58/2.19 SRS with 2 rules on 2 letters EDG 8.58/2.19 8.58/2.19 ************************************************** 8.58/2.19 (2, 2)\Deepee(7, 4)\Weight(4, 4)\Matrix{\Arctic}{5}(3, 4)\Weight(2, 2)\EDG[] 8.58/2.19 ************************************************** 8.58/2.25 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]} 8.58/2.25 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 8.89/2.28 EOF