35.37/9.01 YES 35.37/9.01 property Termination 35.37/9.01 has value True 35.37/9.01 for SRS ( [a, b, a, b] -> [a, a, b, b], [b, b, b, b] -> [b, b, b, a], [a, a, a, a] -> [b, a, b, a]) 35.37/9.01 reason 35.37/9.01 remap for 3 rules 35.37/9.01 property Termination 35.37/9.01 has value True 35.37/9.01 for SRS ( [0, 1, 0, 1] -> [0, 0, 1, 1], [1, 1, 1, 1] -> [1, 1, 1, 0], [0, 0, 0, 0] -> [1, 0, 1, 0]) 35.37/9.01 reason 35.37/9.01 reverse each lhs and rhs 35.37/9.01 property Termination 35.37/9.01 has value True 35.37/9.01 for SRS ( [1, 0, 1, 0] -> [1, 1, 0, 0], [1, 1, 1, 1] -> [0, 1, 1, 1], [0, 0, 0, 0] -> [0, 1, 0, 1]) 35.37/9.01 reason 35.37/9.01 DP transform 35.37/9.01 property Termination 35.37/9.01 has value True 35.37/9.01 for SRS ( [1, 0, 1, 0] ->= [1, 1, 0, 0], [1, 1, 1, 1] ->= [0, 1, 1, 1], [0, 0, 0, 0] ->= [0, 1, 0, 1], [1#, 0, 1, 0] |-> [1#, 1, 0, 0], [1#, 0, 1, 0] |-> [1#, 0, 0], [1#, 0, 1, 0] |-> [0#, 0], [1#, 1, 1, 1] |-> [0#, 1, 1, 1], [0#, 0, 0, 0] |-> [0#, 1, 0, 1], [0#, 0, 0, 0] |-> [1#, 0, 1], [0#, 0, 0, 0] |-> [0#, 1], [0#, 0, 0, 0] |-> [1#]) 35.37/9.01 reason 35.37/9.01 remap for 11 rules 35.37/9.01 property Termination 35.37/9.01 has value True 35.37/9.01 for SRS ( [0, 1, 0, 1] ->= [0, 0, 1, 1], [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 1, 1, 1] ->= [1, 0, 1, 0], [2, 1, 0, 1] |-> [2, 0, 1, 1], [2, 1, 0, 1] |-> [2, 1, 1], [2, 1, 0, 1] |-> [3, 1], [2, 0, 0, 0] |-> [3, 0, 0, 0], [3, 1, 1, 1] |-> [3, 0, 1, 0], [3, 1, 1, 1] |-> [2, 1, 0], [3, 1, 1, 1] |-> [3, 0], [3, 1, 1, 1] |-> [2]) 35.37/9.01 reason 35.37/9.01 weights 35.37/9.01 Map [(0, 2/1), (1, 2/1), (2, 1/1)] 35.37/9.01 35.37/9.01 property Termination 35.37/9.01 has value True 35.37/9.01 for SRS ( [0, 1, 0, 1] ->= [0, 0, 1, 1], [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 1, 1, 1] ->= [1, 0, 1, 0], [2, 1, 0, 1] |-> [2, 0, 1, 1], [3, 1, 1, 1] |-> [3, 0, 1, 0]) 35.37/9.01 reason 35.37/9.01 EDG has 2 SCCs 35.37/9.01 property Termination 35.37/9.01 has value True 35.37/9.01 for SRS ( [2, 1, 0, 1] |-> [2, 0, 1, 1], [0, 1, 0, 1] ->= [0, 0, 1, 1], [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 1, 1, 1] ->= [1, 0, 1, 0]) 35.37/9.01 reason 35.37/9.01 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 35.37/9.01 interpretation 35.37/9.01 0 / 3A 6A 6A \ 35.37/9.01 | 3A 3A 6A | 35.37/9.01 \ 3A 3A 6A / 35.37/9.01 1 / 6A 6A 6A \ 35.37/9.01 | 6A 6A 6A | 35.37/9.01 \ 3A 3A 3A / 35.37/9.01 2 / 19A 20A 22A \ 35.37/9.01 | 19A 20A 22A | 35.37/9.01 \ 19A 20A 22A / 35.37/9.01 [2, 1, 0, 1] |-> [2, 0, 1, 1] 35.37/9.01 lhs rhs ge gt 35.37/9.01 / 38A 38A 38A \ / 37A 37A 37A \ True True 35.37/9.01 | 38A 38A 38A | | 37A 37A 37A | 35.37/9.01 \ 38A 38A 38A / \ 37A 37A 37A / 35.37/9.01 [0, 1, 0, 1] ->= [0, 0, 1, 1] 35.37/9.01 lhs rhs ge gt 35.37/9.01 / 24A 24A 24A \ / 21A 21A 21A \ True False 35.37/9.01 | 21A 21A 21A | | 21A 21A 21A | 35.37/9.01 \ 21A 21A 21A / \ 21A 21A 21A / 35.37/9.01 [0, 0, 0, 0] ->= [1, 0, 0, 0] 35.37/9.01 lhs rhs ge gt 35.37/9.01 / 21A 21A 24A \ / 21A 21A 24A \ True False 35.37/9.01 | 21A 21A 24A | | 21A 21A 24A | 35.37/9.01 \ 21A 21A 24A / \ 18A 18A 21A / 35.37/9.01 [1, 1, 1, 1] ->= [1, 0, 1, 0] 35.37/9.01 lhs rhs ge gt 35.37/9.01 / 24A 24A 24A \ / 21A 24A 24A \ True False 35.37/9.01 | 24A 24A 24A | | 21A 24A 24A | 35.37/9.01 \ 21A 21A 21A / \ 18A 21A 21A / 35.37/9.01 property Termination 35.37/9.01 has value True 35.37/9.01 for SRS ( [0, 1, 0, 1] ->= [0, 0, 1, 1], [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 1, 1, 1] ->= [1, 0, 1, 0]) 35.37/9.01 reason 35.37/9.01 EDG has 0 SCCs 35.37/9.01 35.37/9.01 property Termination 35.37/9.01 has value True 35.37/9.01 for SRS ( [3, 1, 1, 1] |-> [3, 0, 1, 0], [0, 1, 0, 1] ->= [0, 0, 1, 1], [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 1, 1, 1] ->= [1, 0, 1, 0]) 35.37/9.01 reason 35.37/9.01 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 35.37/9.01 interpretation 35.37/9.01 0 / 6A 9A 9A \ 35.37/9.01 | 6A 9A 9A | 35.37/9.01 \ 6A 6A 6A / 35.37/9.01 1 / 9A 9A 9A \ 35.37/9.01 | 6A 6A 9A | 35.37/9.01 \ 6A 6A 6A / 35.37/9.01 3 / 16A 16A 16A \ 35.37/9.01 | 16A 16A 16A | 35.37/9.01 \ 16A 16A 16A / 35.37/9.01 [3, 1, 1, 1] |-> [3, 0, 1, 0] 35.37/9.01 lhs rhs ge gt 35.37/9.01 / 43A 43A 43A \ / 40A 40A 40A \ True True 35.37/9.01 | 43A 43A 43A | | 40A 40A 40A | 35.37/9.01 \ 43A 43A 43A / \ 40A 40A 40A / 35.37/9.01 [0, 1, 0, 1] ->= [0, 0, 1, 1] 35.37/9.01 lhs rhs ge gt 35.37/9.01 / 33A 33A 33A \ / 33A 33A 33A \ True False 35.37/9.01 | 33A 33A 33A | | 33A 33A 33A | 35.37/9.01 \ 30A 30A 33A / \ 30A 30A 30A / 35.37/9.01 [0, 0, 0, 0] ->= [1, 0, 0, 0] 35.37/9.01 lhs rhs ge gt 35.37/9.01 / 33A 36A 36A \ / 33A 36A 36A \ True False 35.37/9.01 | 33A 36A 36A | | 30A 33A 33A | 35.37/9.01 \ 30A 33A 33A / \ 30A 33A 33A / 35.37/9.01 [1, 1, 1, 1] ->= [1, 0, 1, 0] 35.37/9.01 lhs rhs ge gt 35.37/9.01 / 36A 36A 36A \ / 33A 33A 33A \ True False 35.37/9.01 | 33A 33A 33A | | 30A 33A 33A | 35.37/9.01 \ 33A 33A 33A / \ 30A 30A 30A / 35.37/9.01 property Termination 35.37/9.01 has value True 35.37/9.01 for SRS ( [0, 1, 0, 1] ->= [0, 0, 1, 1], [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 1, 1, 1] ->= [1, 0, 1, 0]) 35.37/9.01 reason 35.37/9.01 EDG has 0 SCCs 35.37/9.01 35.37/9.01 ************************************************** 35.37/9.01 summary 35.37/9.01 ************************************************** 35.65/9.06 SRS with 3 rules on 2 letters Remap { tracing = False} 35.65/9.06 SRS with 3 rules on 2 letters reverse each lhs and rhs 35.65/9.06 SRS with 3 rules on 2 letters DP transform 35.65/9.06 SRS with 11 rules on 4 letters Remap { tracing = False} 35.65/9.06 SRS with 11 rules on 4 letters weights 35.65/9.06 SRS with 5 rules on 4 letters EDG 35.65/9.06 2 sub-proofs 35.65/9.06 1 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 35.65/9.06 SRS with 3 rules on 2 letters EDG 35.65/9.06 35.65/9.06 2 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 35.65/9.06 SRS with 3 rules on 2 letters EDG 35.65/9.06 35.65/9.06 ************************************************** 35.65/9.06 (3, 2)\Deepee(11, 4)\Weight(5, 4)\EDG[(4, 3)\Matrix{\Arctic}{3}(3, 2)\EDG[],(4, 3)\Matrix{\Arctic}{3}(3, 2)\EDG[]] 35.65/9.06 ************************************************** 35.83/9.11 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]} 35.83/9.13 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 36.31/9.26 EOF