23.69/6.01 YES 23.69/6.01 property Termination 23.69/6.01 has value True 23.69/6.01 for SRS ( [b, b, a, b] -> [b, a, a, b], [a, a, a, a] -> [b, b, a, b], [a, b, a, a] -> [a, a, a, b]) 23.69/6.01 reason 23.69/6.01 remap for 3 rules 23.69/6.01 property Termination 23.69/6.01 has value True 23.69/6.01 for SRS ( [0, 0, 1, 0] -> [0, 1, 1, 0], [1, 1, 1, 1] -> [0, 0, 1, 0], [1, 0, 1, 1] -> [1, 1, 1, 0]) 23.69/6.01 reason 23.69/6.01 DP transform 23.69/6.01 property Termination 23.69/6.01 has value True 23.69/6.01 for SRS ( [0, 0, 1, 0] ->= [0, 1, 1, 0], [1, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 1, 1] ->= [1, 1, 1, 0], [0#, 0, 1, 0] |-> [0#, 1, 1, 0], [0#, 0, 1, 0] |-> [1#, 1, 0], [1#, 1, 1, 1] |-> [0#, 0, 1, 0], [1#, 1, 1, 1] |-> [0#, 1, 0], [1#, 1, 1, 1] |-> [1#, 0], [1#, 1, 1, 1] |-> [0#], [1#, 0, 1, 1] |-> [1#, 1, 1, 0], [1#, 0, 1, 1] |-> [1#, 1, 0], [1#, 0, 1, 1] |-> [1#, 0], [1#, 0, 1, 1] |-> [0#]) 23.69/6.01 reason 23.69/6.01 remap for 13 rules 23.69/6.01 property Termination 23.69/6.01 has value True 23.69/6.03 for SRS ( [0, 0, 1, 0] ->= [0, 1, 1, 0], [1, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 1, 1] ->= [1, 1, 1, 0], [2, 0, 1, 0] |-> [2, 1, 1, 0], [2, 0, 1, 0] |-> [3, 1, 0], [3, 1, 1, 1] |-> [2, 0, 1, 0], [3, 1, 1, 1] |-> [2, 1, 0], [3, 1, 1, 1] |-> [3, 0], [3, 1, 1, 1] |-> [2], [3, 0, 1, 1] |-> [3, 1, 1, 0], [3, 0, 1, 1] |-> [3, 1, 0], [3, 0, 1, 1] |-> [3, 0], [3, 0, 1, 1] |-> [2]) 23.69/6.03 reason 23.69/6.03 weights 23.69/6.03 Map [(0, 2/1), (1, 2/1), (3, 1/1)] 23.69/6.03 23.69/6.03 property Termination 23.69/6.03 has value True 23.69/6.03 for SRS ( [0, 0, 1, 0] ->= [0, 1, 1, 0], [1, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 1, 1] ->= [1, 1, 1, 0], [2, 0, 1, 0] |-> [2, 1, 1, 0], [3, 0, 1, 1] |-> [3, 1, 1, 0]) 23.69/6.03 reason 23.69/6.03 EDG has 2 SCCs 23.69/6.03 property Termination 23.69/6.03 has value True 23.69/6.03 for SRS ( [2, 0, 1, 0] |-> [2, 1, 1, 0], [0, 0, 1, 0] ->= [0, 1, 1, 0], [1, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 1, 1] ->= [1, 1, 1, 0]) 23.69/6.03 reason 23.69/6.03 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 23.69/6.03 interpretation 23.69/6.03 0 / 9A 9A 12A \ 23.69/6.03 | 9A 9A 12A | 23.69/6.03 \ 6A 6A 9A / 23.69/6.03 1 / 9A 9A 12A \ 23.69/6.03 | 9A 9A 9A | 23.69/6.03 \ 9A 9A 9A / 23.69/6.03 2 / 6A 8A 9A \ 23.69/6.03 | 6A 8A 9A | 23.69/6.03 \ 6A 8A 9A / 23.69/6.03 [2, 0, 1, 0] |-> [2, 1, 1, 0] 23.69/6.03 lhs rhs ge gt 23.69/6.03 / 38A 38A 41A \ / 36A 36A 39A \ True True 23.69/6.03 | 38A 38A 41A | | 36A 36A 39A | 23.69/6.03 \ 38A 38A 41A / \ 36A 36A 39A / 23.69/6.03 [0, 0, 1, 0] ->= [0, 1, 1, 0] 23.69/6.03 lhs rhs ge gt 23.69/6.03 / 39A 39A 42A \ / 39A 39A 42A \ True False 23.69/6.03 | 39A 39A 42A | | 39A 39A 42A | 23.69/6.03 \ 36A 36A 39A / \ 36A 36A 39A / 23.69/6.03 [1, 1, 1, 1] ->= [0, 0, 1, 0] 23.69/6.03 lhs rhs ge gt 23.69/6.03 / 42A 42A 42A \ / 39A 39A 42A \ True False 23.69/6.03 | 39A 39A 42A | | 39A 39A 42A | 23.69/6.03 \ 39A 39A 42A / \ 36A 36A 39A / 23.69/6.03 [1, 0, 1, 1] ->= [1, 1, 1, 0] 23.69/6.03 lhs rhs ge gt 23.69/6.03 / 39A 39A 42A \ / 39A 39A 42A \ True False 23.69/6.03 | 39A 39A 42A | | 39A 39A 42A | 23.69/6.03 \ 39A 39A 42A / \ 39A 39A 42A / 23.69/6.03 property Termination 23.69/6.03 has value True 23.69/6.03 for SRS ( [0, 0, 1, 0] ->= [0, 1, 1, 0], [1, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 1, 1] ->= [1, 1, 1, 0]) 23.69/6.03 reason 23.69/6.03 EDG has 0 SCCs 23.69/6.03 23.69/6.03 property Termination 23.69/6.03 has value True 23.69/6.04 for SRS ( [3, 0, 1, 1] |-> [3, 1, 1, 0], [0, 0, 1, 0] ->= [0, 1, 1, 0], [1, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 1, 1] ->= [1, 1, 1, 0]) 23.69/6.04 reason 23.69/6.04 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 23.69/6.04 interpretation 23.69/6.04 0 / 0A 0A 3A \ 23.69/6.04 | 0A 0A 3A | 23.69/6.04 \ -3A -3A 0A / 23.69/6.04 1 / 0A 0A 3A \ 23.69/6.04 | 0A 0A 0A | 23.69/6.04 \ 0A 0A 0A / 23.69/6.04 3 / 15A 18A 18A \ 23.69/6.04 | 15A 18A 18A | 23.69/6.04 \ 15A 18A 18A / 23.69/6.04 [3, 0, 1, 1] |-> [3, 1, 1, 0] 23.69/6.04 lhs rhs ge gt 23.69/6.04 / 21A 21A 24A \ / 18A 18A 21A \ True True 23.69/6.04 | 21A 21A 24A | | 18A 18A 21A | 23.69/6.04 \ 21A 21A 24A / \ 18A 18A 21A / 23.69/6.04 [0, 0, 1, 0] ->= [0, 1, 1, 0] 23.69/6.04 lhs rhs ge gt 23.69/6.04 / 3A 3A 6A \ / 3A 3A 6A \ True False 23.69/6.04 | 3A 3A 6A | | 3A 3A 6A | 23.69/6.04 \ 0A 0A 3A / \ 0A 0A 3A / 23.69/6.04 [1, 1, 1, 1] ->= [0, 0, 1, 0] 23.69/6.04 lhs rhs ge gt 23.69/6.04 / 6A 6A 6A \ / 3A 3A 6A \ True False 23.69/6.04 | 3A 3A 6A | | 3A 3A 6A | 23.69/6.04 \ 3A 3A 6A / \ 0A 0A 3A / 23.69/6.04 [1, 0, 1, 1] ->= [1, 1, 1, 0] 23.69/6.04 lhs rhs ge gt 23.69/6.04 / 3A 3A 6A \ / 3A 3A 6A \ True False 23.69/6.04 | 3A 3A 6A | | 3A 3A 6A | 23.69/6.04 \ 3A 3A 6A / \ 3A 3A 6A / 23.69/6.04 property Termination 23.69/6.04 has value True 23.69/6.04 for SRS ( [0, 0, 1, 0] ->= [0, 1, 1, 0], [1, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 1, 1] ->= [1, 1, 1, 0]) 23.69/6.04 reason 23.69/6.04 EDG has 0 SCCs 23.69/6.04 23.69/6.04 ************************************************** 23.69/6.04 summary 23.69/6.04 ************************************************** 23.69/6.04 SRS with 3 rules on 2 letters Remap { tracing = False} 23.69/6.04 SRS with 3 rules on 2 letters DP transform 23.69/6.04 SRS with 13 rules on 4 letters Remap { tracing = False} 23.69/6.04 SRS with 13 rules on 4 letters weights 23.69/6.04 SRS with 5 rules on 4 letters EDG 23.69/6.04 2 sub-proofs 23.69/6.04 1 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 23.69/6.04 SRS with 3 rules on 2 letters EDG 23.69/6.04 23.69/6.04 2 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 23.69/6.04 SRS with 3 rules on 2 letters EDG 23.69/6.04 23.69/6.04 ************************************************** 23.69/6.04 (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[]] 23.69/6.04 ************************************************** 24.14/6.12 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]} 24.14/6.12 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 24.44/6.24 EOF