383.46/96.79 YES 383.46/96.79 property Termination 383.46/96.79 has value True 383.46/96.79 for SRS ( [b, b, b, a] -> [b, b, a, a], [b, a, b, a] -> [b, a, b, b], [b, a, a, a] -> [a, a, a, b]) 383.46/96.79 reason 383.46/96.79 remap for 3 rules 383.46/96.79 property Termination 383.46/96.79 has value True 383.46/96.79 for SRS ( [0, 0, 0, 1] -> [0, 0, 1, 1], [0, 1, 0, 1] -> [0, 1, 0, 0], [0, 1, 1, 1] -> [1, 1, 1, 0]) 383.46/96.79 reason 383.46/96.79 DP transform 383.46/96.79 property Termination 383.46/96.79 has value True 383.46/96.79 for SRS ( [0, 0, 0, 1] ->= [0, 0, 1, 1], [0, 1, 0, 1] ->= [0, 1, 0, 0], [0, 1, 1, 1] ->= [1, 1, 1, 0], [0#, 0, 0, 1] |-> [0#, 0, 1, 1], [0#, 0, 0, 1] |-> [0#, 1, 1], [0#, 1, 0, 1] |-> [0#, 1, 0, 0], [0#, 1, 0, 1] |-> [0#, 0], [0#, 1, 0, 1] |-> [0#], [0#, 1, 1, 1] |-> [0#]) 383.46/96.79 reason 383.46/96.79 remap for 9 rules 383.46/96.79 property Termination 383.46/96.79 has value True 383.46/96.79 for SRS ( [0, 0, 0, 1] ->= [0, 0, 1, 1], [0, 1, 0, 1] ->= [0, 1, 0, 0], [0, 1, 1, 1] ->= [1, 1, 1, 0], [2, 0, 0, 1] |-> [2, 0, 1, 1], [2, 0, 0, 1] |-> [2, 1, 1], [2, 1, 0, 1] |-> [2, 1, 0, 0], [2, 1, 0, 1] |-> [2, 0], [2, 1, 0, 1] |-> [2], [2, 1, 1, 1] |-> [2]) 383.46/96.79 reason 383.46/96.79 weights 383.46/96.79 Map [(0, 1/9), (1, 1/9)] 383.46/96.79 383.46/96.79 property Termination 383.46/96.79 has value True 383.46/96.79 for SRS ( [0, 0, 0, 1] ->= [0, 0, 1, 1], [0, 1, 0, 1] ->= [0, 1, 0, 0], [0, 1, 1, 1] ->= [1, 1, 1, 0], [2, 0, 0, 1] |-> [2, 0, 1, 1], [2, 1, 0, 1] |-> [2, 1, 0, 0]) 383.46/96.79 reason 383.46/96.79 EDG has 2 SCCs 383.46/96.79 property Termination 383.46/96.79 has value True 383.46/96.81 for SRS ( [2, 0, 0, 1] |-> [2, 0, 1, 1], [0, 0, 0, 1] ->= [0, 0, 1, 1], [0, 1, 0, 1] ->= [0, 1, 0, 0], [0, 1, 1, 1] ->= [1, 1, 1, 0]) 383.46/96.81 reason 383.46/96.81 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 383.46/96.81 interpretation 383.46/96.81 0 / 6A 6A 9A \ 383.46/96.81 | 6A 6A 6A | 383.46/96.81 \ 3A 3A 6A / 383.46/96.81 1 / 3A 3A 6A \ 383.46/96.81 | 3A 3A 6A | 383.46/96.81 \ 3A 3A 6A / 383.46/96.81 2 / 10A 13A 13A \ 383.46/96.81 | 10A 13A 13A | 383.46/96.81 \ 10A 13A 13A / 383.46/96.81 [2, 0, 0, 1] |-> [2, 0, 1, 1] 383.46/96.81 lhs rhs ge gt 383.46/96.81 / 31A 31A 34A \ / 28A 28A 31A \ True True 383.46/96.81 | 31A 31A 34A | | 28A 28A 31A | 383.46/96.81 \ 31A 31A 34A / \ 28A 28A 31A / 383.46/96.81 [0, 0, 0, 1] ->= [0, 0, 1, 1] 383.46/96.81 lhs rhs ge gt 383.46/96.81 / 24A 24A 27A \ / 24A 24A 27A \ True False 383.46/96.81 | 24A 24A 27A | | 24A 24A 27A | 383.46/96.81 \ 21A 21A 24A / \ 21A 21A 24A / 383.46/96.81 [0, 1, 0, 1] ->= [0, 1, 0, 0] 383.46/96.81 lhs rhs ge gt 383.46/96.81 / 24A 24A 27A \ / 24A 24A 27A \ True False 383.46/96.81 | 21A 21A 24A | | 21A 21A 24A | 383.46/96.81 \ 21A 21A 24A / \ 21A 21A 24A / 383.46/96.81 [0, 1, 1, 1] ->= [1, 1, 1, 0] 383.46/96.81 lhs rhs ge gt 383.46/96.81 / 24A 24A 27A \ / 21A 21A 24A \ True False 383.46/96.81 | 21A 21A 24A | | 21A 21A 24A | 383.46/96.81 \ 21A 21A 24A / \ 21A 21A 24A / 383.46/96.81 property Termination 383.46/96.81 has value True 383.46/96.81 for SRS ( [0, 0, 0, 1] ->= [0, 0, 1, 1], [0, 1, 0, 1] ->= [0, 1, 0, 0], [0, 1, 1, 1] ->= [1, 1, 1, 0]) 383.46/96.81 reason 383.46/96.81 EDG has 0 SCCs 383.46/96.81 383.46/96.81 property Termination 383.46/96.81 has value True 383.46/96.81 for SRS ( [2, 1, 0, 1] |-> [2, 1, 0, 0], [0, 0, 0, 1] ->= [0, 0, 1, 1], [0, 1, 0, 1] ->= [0, 1, 0, 0], [0, 1, 1, 1] ->= [1, 1, 1, 0]) 383.46/96.81 reason 383.46/96.81 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 383.46/96.81 interpretation 383.46/96.81 0 Wk / 1A 0A 0A 0A \ 383.46/96.81 | 1A - - 0A | 383.46/96.81 | - 1A - 2A | 383.46/96.81 \ - - - 0A / 383.46/96.81 1 Wk / - - 0A 2A \ 383.46/96.81 | 2A - - 2A | 383.46/96.81 | - 1A - - | 383.46/96.81 \ - - - 0A / 383.46/96.81 2 Wk / 4A - - - \ 383.46/96.81 | 4A - - - | 383.46/96.81 | 1A - - - | 383.46/96.81 \ - - - 0A / 383.46/96.81 [2, 1, 0, 1] |-> [2, 1, 0, 0] 383.65/96.83 lhs rhs ge gt 383.65/96.83 Wk / 7A - - 7A \ Wk / 6A - - 6A \ True True 383.65/96.83 | 7A - - 7A | | 6A - - 6A | 383.65/96.83 | 4A - - 4A | | 3A - - 3A | 383.65/96.83 \ - - - 0A / \ - - - 0A / 383.65/96.83 [0, 0, 0, 1] ->= [0, 0, 1, 1] 383.65/96.83 lhs rhs ge gt 383.65/96.83 Wk / 4A 3A 3A 5A \ Wk / 4A 3A 3A 5A \ True False 383.65/96.83 | 4A 3A 3A 5A | | 4A 3A 3A 5A | 383.65/96.83 | 4A 3A 3A 5A | | - 3A - 4A | 383.65/96.83 \ - - - 0A / \ - - - 0A / 383.65/96.83 [0, 1, 0, 1] ->= [0, 1, 0, 0] 383.65/96.84 lhs rhs ge gt 383.65/96.84 Wk / 4A 3A 3A 5A \ Wk / 4A 3A 3A 4A \ True False 383.65/96.84 | 4A - - 4A | | 3A - - 3A | 383.65/96.84 | 5A 4A 4A 6A | | 5A 4A 4A 5A | 383.65/96.84 \ - - - 0A / \ - - - 0A / 383.65/96.84 [0, 1, 1, 1] ->= [1, 1, 1, 0] 383.65/96.84 lhs rhs ge gt 383.65/96.84 Wk / 4A 3A 3A 5A \ Wk / 4A 3A 3A 3A \ True False 383.65/96.84 | 4A - - 4A | | 4A - - 4A | 383.65/96.84 | - 4A - 5A | | - 4A - 5A | 383.65/96.84 \ - - - 0A / \ - - - 0A / 383.65/96.84 property Termination 383.65/96.84 has value True 383.65/96.84 for SRS ( [0, 0, 0, 1] ->= [0, 0, 1, 1], [0, 1, 0, 1] ->= [0, 1, 0, 0], [0, 1, 1, 1] ->= [1, 1, 1, 0]) 383.65/96.84 reason 383.65/96.84 EDG has 0 SCCs 383.65/96.84 383.65/96.84 ************************************************** 383.65/96.84 summary 383.65/96.84 ************************************************** 383.65/96.84 SRS with 3 rules on 2 letters Remap { tracing = False} 383.65/96.84 SRS with 3 rules on 2 letters DP transform 383.65/96.84 SRS with 9 rules on 3 letters Remap { tracing = False} 383.65/96.84 SRS with 9 rules on 3 letters weights 383.65/96.84 SRS with 5 rules on 3 letters EDG 383.65/96.84 2 sub-proofs 383.65/96.84 1 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 383.65/96.84 SRS with 3 rules on 2 letters EDG 383.65/96.84 383.65/96.84 2 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 383.65/96.84 SRS with 3 rules on 2 letters EDG 383.65/96.84 383.65/96.84 ************************************************** 383.73/96.91 (3, 2)\Deepee(9, 3)\Weight(5, 3)\EDG[(4, 3)\Matrix{\Arctic}{3}(3, 2)\EDG[],(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[]] 383.73/96.91 ************************************************** 384.55/97.06 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]} 384.55/97.06 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 385.64/97.34 EOF