23.05/5.86 YES 23.05/5.86 property Termination 23.05/5.86 has value True 23.05/5.86 for SRS ( [a, b, b, a] -> [b, a, a, b], [a, b, b, b] -> [a, a, a, b], [b, b, a, a] -> [b, b, b, a]) 23.05/5.86 reason 23.05/5.86 remap for 3 rules 23.05/5.86 property Termination 23.05/5.86 has value True 23.05/5.86 for SRS ( [0, 1, 1, 0] -> [1, 0, 0, 1], [0, 1, 1, 1] -> [0, 0, 0, 1], [1, 1, 0, 0] -> [1, 1, 1, 0]) 23.05/5.86 reason 23.05/5.86 DP transform 23.05/5.86 property Termination 23.05/5.86 has value True 23.05/5.86 for SRS ( [0, 1, 1, 0] ->= [1, 0, 0, 1], [0, 1, 1, 1] ->= [0, 0, 0, 1], [1, 1, 0, 0] ->= [1, 1, 1, 0], [0#, 1, 1, 0] |-> [1#, 0, 0, 1], [0#, 1, 1, 0] |-> [0#, 0, 1], [0#, 1, 1, 0] |-> [0#, 1], [0#, 1, 1, 0] |-> [1#], [0#, 1, 1, 1] |-> [0#, 0, 0, 1], [0#, 1, 1, 1] |-> [0#, 0, 1], [0#, 1, 1, 1] |-> [0#, 1], [1#, 1, 0, 0] |-> [1#, 1, 1, 0], [1#, 1, 0, 0] |-> [1#, 1, 0], [1#, 1, 0, 0] |-> [1#, 0]) 23.05/5.86 reason 23.05/5.86 remap for 13 rules 23.05/5.86 property Termination 23.05/5.86 has value True 23.05/5.86 for SRS ( [0, 1, 1, 0] ->= [1, 0, 0, 1], [0, 1, 1, 1] ->= [0, 0, 0, 1], [1, 1, 0, 0] ->= [1, 1, 1, 0], [2, 1, 1, 0] |-> [3, 0, 0, 1], [2, 1, 1, 0] |-> [2, 0, 1], [2, 1, 1, 0] |-> [2, 1], [2, 1, 1, 0] |-> [3], [2, 1, 1, 1] |-> [2, 0, 0, 1], [2, 1, 1, 1] |-> [2, 0, 1], [2, 1, 1, 1] |-> [2, 1], [3, 1, 0, 0] |-> [3, 1, 1, 0], [3, 1, 0, 0] |-> [3, 1, 0], [3, 1, 0, 0] |-> [3, 0]) 23.05/5.86 reason 23.05/5.86 weights 23.05/5.86 Map [(0, 1/9), (1, 1/9), (2, 1/1)] 23.05/5.86 23.05/5.86 property Termination 23.05/5.86 has value True 23.05/5.86 for SRS ( [0, 1, 1, 0] ->= [1, 0, 0, 1], [0, 1, 1, 1] ->= [0, 0, 0, 1], [1, 1, 0, 0] ->= [1, 1, 1, 0], [2, 1, 1, 1] |-> [2, 0, 0, 1], [3, 1, 0, 0] |-> [3, 1, 1, 0]) 23.05/5.86 reason 23.05/5.86 EDG has 2 SCCs 23.05/5.86 property Termination 23.05/5.86 has value True 23.05/5.86 for SRS ( [2, 1, 1, 1] |-> [2, 0, 0, 1], [0, 1, 1, 0] ->= [1, 0, 0, 1], [0, 1, 1, 1] ->= [0, 0, 0, 1], [1, 1, 0, 0] ->= [1, 1, 1, 0]) 23.05/5.86 reason 23.05/5.86 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 23.05/5.86 interpretation 23.05/5.86 0 / 3A 6A 6A \ 23.05/5.86 | 3A 6A 6A | 23.05/5.86 \ 3A 3A 3A / 23.05/5.86 1 / 6A 6A 9A \ 23.05/5.86 | 3A 6A 6A | 23.05/5.86 \ 3A 6A 6A / 23.05/5.86 2 / 3A 4A 5A \ 23.05/5.86 | 3A 4A 5A | 23.05/5.86 \ 3A 4A 5A / 23.05/5.86 [2, 1, 1, 1] |-> [2, 0, 0, 1] 23.05/5.86 lhs rhs ge gt 23.05/5.86 / 21A 24A 24A \ / 19A 22A 22A \ True True 23.05/5.86 | 21A 24A 24A | | 19A 22A 22A | 23.05/5.86 \ 21A 24A 24A / \ 19A 22A 22A / 23.05/5.86 [0, 1, 1, 0] ->= [1, 0, 0, 1] 23.05/5.86 lhs rhs ge gt 23.05/5.86 / 21A 24A 24A \ / 21A 24A 24A \ True False 23.05/5.86 | 21A 24A 24A | | 21A 24A 24A | 23.05/5.86 \ 21A 24A 24A / \ 21A 24A 24A / 23.05/5.86 [0, 1, 1, 1] ->= [0, 0, 0, 1] 23.05/5.86 lhs rhs ge gt 23.05/5.86 / 21A 24A 24A \ / 21A 24A 24A \ True False 23.05/5.86 | 21A 24A 24A | | 21A 24A 24A | 23.05/5.86 \ 21A 24A 24A / \ 18A 21A 21A / 23.05/5.86 [1, 1, 0, 0] ->= [1, 1, 1, 0] 23.05/5.86 lhs rhs ge gt 23.05/5.86 / 24A 27A 27A \ / 24A 27A 27A \ True False 23.05/5.86 | 21A 24A 24A | | 21A 24A 24A | 23.05/5.86 \ 21A 24A 24A / \ 21A 24A 24A / 23.05/5.86 property Termination 23.05/5.86 has value True 23.05/5.86 for SRS ( [0, 1, 1, 0] ->= [1, 0, 0, 1], [0, 1, 1, 1] ->= [0, 0, 0, 1], [1, 1, 0, 0] ->= [1, 1, 1, 0]) 23.05/5.86 reason 23.05/5.86 EDG has 0 SCCs 23.05/5.86 23.05/5.86 property Termination 23.05/5.86 has value True 23.05/5.86 for SRS ( [3, 1, 0, 0] |-> [3, 1, 1, 0], [0, 1, 1, 0] ->= [1, 0, 0, 1], [0, 1, 1, 1] ->= [0, 0, 0, 1], [1, 1, 0, 0] ->= [1, 1, 1, 0]) 23.05/5.86 reason 23.05/5.86 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 23.05/5.86 interpretation 23.05/5.86 0 / 9A 9A 9A \ 23.05/5.86 | 9A 9A 9A | 23.05/5.86 \ 9A 9A 9A / 23.05/5.86 1 / 9A 9A 9A \ 23.05/5.86 | 6A 6A 9A | 23.05/5.86 \ 6A 6A 6A / 23.05/5.86 3 / 7A 10A 10A \ 23.05/5.86 | 7A 10A 10A | 23.05/5.86 \ 7A 10A 10A / 23.05/5.86 [3, 1, 0, 0] |-> [3, 1, 1, 0] 23.05/5.86 lhs rhs ge gt 23.05/5.86 / 37A 37A 37A \ / 34A 34A 34A \ True True 23.05/5.86 | 37A 37A 37A | | 34A 34A 34A | 23.05/5.86 \ 37A 37A 37A / \ 34A 34A 34A / 23.05/5.86 [0, 1, 1, 0] ->= [1, 0, 0, 1] 23.05/5.86 lhs rhs ge gt 23.05/5.86 / 36A 36A 36A \ / 36A 36A 36A \ True False 23.05/5.86 | 36A 36A 36A | | 36A 36A 36A | 23.05/5.86 \ 36A 36A 36A / \ 33A 33A 33A / 23.05/5.86 [0, 1, 1, 1] ->= [0, 0, 0, 1] 23.05/5.86 lhs rhs ge gt 23.05/5.86 / 36A 36A 36A \ / 36A 36A 36A \ True False 23.05/5.86 | 36A 36A 36A | | 36A 36A 36A | 23.05/5.86 \ 36A 36A 36A / \ 36A 36A 36A / 23.05/5.86 [1, 1, 0, 0] ->= [1, 1, 1, 0] 23.05/5.86 lhs rhs ge gt 23.05/5.86 / 36A 36A 36A \ / 36A 36A 36A \ True False 23.05/5.86 | 33A 33A 33A | | 33A 33A 33A | 23.05/5.86 \ 33A 33A 33A / \ 33A 33A 33A / 23.05/5.86 property Termination 23.05/5.86 has value True 23.05/5.86 for SRS ( [0, 1, 1, 0] ->= [1, 0, 0, 1], [0, 1, 1, 1] ->= [0, 0, 0, 1], [1, 1, 0, 0] ->= [1, 1, 1, 0]) 23.05/5.86 reason 23.05/5.86 EDG has 0 SCCs 23.05/5.86 23.05/5.86 ************************************************** 23.05/5.86 summary 23.05/5.86 ************************************************** 23.05/5.86 SRS with 3 rules on 2 letters Remap { tracing = False} 23.05/5.86 SRS with 3 rules on 2 letters DP transform 23.05/5.86 SRS with 13 rules on 4 letters Remap { tracing = False} 23.05/5.86 SRS with 13 rules on 4 letters weights 23.05/5.86 SRS with 5 rules on 4 letters EDG 23.05/5.86 2 sub-proofs 23.05/5.86 1 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 23.05/5.86 SRS with 3 rules on 2 letters EDG 23.05/5.86 23.05/5.86 2 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 23.05/5.86 SRS with 3 rules on 2 letters EDG 23.05/5.86 23.05/5.86 ************************************************** 23.05/5.86 (3, 2)\Deepee(13, 4)\Weight(5, 4)\EDG[(4, 3)\Matrix{\Arctic}{3}(3, 2)\EDG[],(4, 3)\Matrix{\Arctic}{3}(3, 2)\EDG[]] 23.05/5.86 ************************************************** 23.05/5.89 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]} 23.05/5.89 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 23.35/5.97 EOF