14.86/3.84 YES 14.86/3.84 property Termination 14.86/3.84 has value True 14.86/3.84 for SRS ( [b, b, a, b] -> [b, a, b, b], [b, a, b, b] -> [b, b, b, b], [a, b, b, a] -> [b, a, a, a], [b, a, b, a] -> [a, a, a, a]) 14.86/3.84 reason 14.86/3.84 remap for 4 rules 14.86/3.84 property Termination 14.86/3.84 has value True 14.86/3.84 for SRS ( [0, 0, 1, 0] -> [0, 1, 0, 0], [0, 1, 0, 0] -> [0, 0, 0, 0], [1, 0, 0, 1] -> [0, 1, 1, 1], [0, 1, 0, 1] -> [1, 1, 1, 1]) 14.86/3.84 reason 14.86/3.84 reverse each lhs and rhs 14.86/3.84 property Termination 14.86/3.84 has value True 14.86/3.84 for SRS ( [0, 1, 0, 0] -> [0, 0, 1, 0], [0, 0, 1, 0] -> [0, 0, 0, 0], [1, 0, 0, 1] -> [1, 1, 1, 0], [1, 0, 1, 0] -> [1, 1, 1, 1]) 14.86/3.84 reason 14.86/3.84 DP transform 14.86/3.84 property Termination 14.86/3.84 has value True 15.22/3.87 for SRS ( [0, 1, 0, 0] ->= [0, 0, 1, 0], [0, 0, 1, 0] ->= [0, 0, 0, 0], [1, 0, 0, 1] ->= [1, 1, 1, 0], [1, 0, 1, 0] ->= [1, 1, 1, 1], [0#, 1, 0, 0] |-> [0#, 0, 1, 0], [0#, 1, 0, 0] |-> [0#, 1, 0], [0#, 1, 0, 0] |-> [1#, 0], [0#, 0, 1, 0] |-> [0#, 0, 0, 0], [0#, 0, 1, 0] |-> [0#, 0, 0], [0#, 0, 1, 0] |-> [0#, 0], [1#, 0, 0, 1] |-> [1#, 1, 1, 0], [1#, 0, 0, 1] |-> [1#, 1, 0], [1#, 0, 0, 1] |-> [1#, 0], [1#, 0, 0, 1] |-> [0#], [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#]) 15.22/3.87 reason 15.22/3.87 remap for 18 rules 15.22/3.87 property Termination 15.22/3.87 has value True 15.35/3.90 for SRS ( [0, 1, 0, 0] ->= [0, 0, 1, 0], [0, 0, 1, 0] ->= [0, 0, 0, 0], [1, 0, 0, 1] ->= [1, 1, 1, 0], [1, 0, 1, 0] ->= [1, 1, 1, 1], [2, 1, 0, 0] |-> [2, 0, 1, 0], [2, 1, 0, 0] |-> [2, 1, 0], [2, 1, 0, 0] |-> [3, 0], [2, 0, 1, 0] |-> [2, 0, 0, 0], [2, 0, 1, 0] |-> [2, 0, 0], [2, 0, 1, 0] |-> [2, 0], [3, 0, 0, 1] |-> [3, 1, 1, 0], [3, 0, 0, 1] |-> [3, 1, 0], [3, 0, 0, 1] |-> [3, 0], [3, 0, 0, 1] |-> [2], [3, 0, 1, 0] |-> [3, 1, 1, 1], [3, 0, 1, 0] |-> [3, 1, 1], [3, 0, 1, 0] |-> [3, 1], [3, 0, 1, 0] |-> [3]) 15.35/3.91 reason 15.35/3.91 weights 15.35/3.92 Map [(0, 1/18), (1, 1/18)] 15.35/3.92 15.35/3.92 property Termination 15.35/3.92 has value True 15.35/3.92 for SRS ( [0, 1, 0, 0] ->= [0, 0, 1, 0], [0, 0, 1, 0] ->= [0, 0, 0, 0], [1, 0, 0, 1] ->= [1, 1, 1, 0], [1, 0, 1, 0] ->= [1, 1, 1, 1], [2, 1, 0, 0] |-> [2, 0, 1, 0], [2, 0, 1, 0] |-> [2, 0, 0, 0], [3, 0, 0, 1] |-> [3, 1, 1, 0], [3, 0, 1, 0] |-> [3, 1, 1, 1]) 15.35/3.92 reason 15.35/3.92 EDG has 2 SCCs 15.35/3.92 property Termination 15.35/3.92 has value True 15.35/3.93 for SRS ( [2, 1, 0, 0] |-> [2, 0, 1, 0], [2, 0, 1, 0] |-> [2, 0, 0, 0], [0, 1, 0, 0] ->= [0, 0, 1, 0], [0, 0, 1, 0] ->= [0, 0, 0, 0], [1, 0, 0, 1] ->= [1, 1, 1, 0], [1, 0, 1, 0] ->= [1, 1, 1, 1]) 15.35/3.93 reason 15.51/3.95 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 15.51/3.95 interpretation 15.51/3.95 0 / 2A 4A \ 15.51/3.95 \ 2A 4A / 15.51/3.95 1 / 4A 6A \ 15.51/3.95 \ 2A 4A / 15.51/3.95 2 / 16A 17A \ 15.51/3.95 \ 16A 17A / 15.51/3.95 [2, 1, 0, 0] |-> [2, 0, 1, 0] 15.51/3.95 lhs rhs ge gt 15.51/3.95 / 28A 30A \ / 27A 29A \ True True 15.51/3.95 \ 28A 30A / \ 27A 29A / 15.51/3.95 [2, 0, 1, 0] |-> [2, 0, 0, 0] 15.51/3.95 lhs rhs ge gt 15.51/3.95 / 27A 29A \ / 27A 29A \ True False 15.51/3.95 \ 27A 29A / \ 27A 29A / 15.51/3.95 [0, 1, 0, 0] ->= [0, 0, 1, 0] 15.51/3.95 lhs rhs ge gt 15.51/3.95 / 14A 16A \ / 14A 16A \ True False 15.51/3.95 \ 14A 16A / \ 14A 16A / 15.51/3.95 [0, 0, 1, 0] ->= [0, 0, 0, 0] 15.51/3.95 lhs rhs ge gt 15.51/3.95 / 14A 16A \ / 14A 16A \ True False 15.51/3.95 \ 14A 16A / \ 14A 16A / 15.51/3.95 [1, 0, 0, 1] ->= [1, 1, 1, 0] 15.51/3.95 lhs rhs ge gt 15.51/3.95 / 16A 18A \ / 16A 18A \ True False 15.51/3.95 \ 14A 16A / \ 14A 16A / 15.51/3.95 [1, 0, 1, 0] ->= [1, 1, 1, 1] 15.51/3.95 lhs rhs ge gt 15.51/3.95 / 16A 18A \ / 16A 18A \ True False 15.51/3.95 \ 14A 16A / \ 14A 16A / 15.51/3.95 property Termination 15.51/3.95 has value True 15.51/3.95 for SRS ( [2, 0, 1, 0] |-> [2, 0, 0, 0], [0, 1, 0, 0] ->= [0, 0, 1, 0], [0, 0, 1, 0] ->= [0, 0, 0, 0], [1, 0, 0, 1] ->= [1, 1, 1, 0], [1, 0, 1, 0] ->= [1, 1, 1, 1]) 15.51/3.95 reason 15.51/3.95 EDG has 1 SCCs 15.51/3.95 property Termination 15.51/3.95 has value True 15.51/3.95 for SRS ( [2, 0, 1, 0] |-> [2, 0, 0, 0], [0, 1, 0, 0] ->= [0, 0, 1, 0], [0, 0, 1, 0] ->= [0, 0, 0, 0], [1, 0, 0, 1] ->= [1, 1, 1, 0], [1, 0, 1, 0] ->= [1, 1, 1, 1]) 15.51/3.95 reason 15.51/3.95 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 15.51/3.95 interpretation 15.51/3.95 0 / 6A 8A \ 15.51/3.95 \ 4A 6A / 15.51/3.95 1 / 6A 6A \ 15.51/3.95 \ 6A 6A / 15.51/3.95 2 / 3A 3A \ 15.51/3.95 \ 3A 3A / 15.51/3.95 [2, 0, 1, 0] |-> [2, 0, 0, 0] 15.51/3.95 lhs rhs ge gt 15.51/3.95 / 23A 25A \ / 21A 23A \ True True 15.51/3.95 \ 23A 25A / \ 21A 23A / 15.51/3.95 [0, 1, 0, 0] ->= [0, 0, 1, 0] 15.51/3.95 lhs rhs ge gt 15.51/3.95 / 26A 28A \ / 26A 28A \ True False 15.51/3.95 \ 24A 26A / \ 24A 26A / 15.51/3.95 [0, 0, 1, 0] ->= [0, 0, 0, 0] 15.51/3.95 lhs rhs ge gt 15.51/3.95 / 26A 28A \ / 24A 26A \ True True 15.51/3.95 \ 24A 26A / \ 22A 24A / 15.51/3.95 [1, 0, 0, 1] ->= [1, 1, 1, 0] 15.51/3.95 lhs rhs ge gt 15.51/3.95 / 26A 26A \ / 24A 26A \ True False 15.51/3.95 \ 26A 26A / \ 24A 26A / 15.51/3.95 [1, 0, 1, 0] ->= [1, 1, 1, 1] 15.51/3.95 lhs rhs ge gt 15.51/3.95 / 26A 28A \ / 24A 24A \ True True 15.51/3.95 \ 26A 28A / \ 24A 24A / 15.51/3.95 property Termination 15.51/3.95 has value True 15.51/3.96 for SRS ( [0, 1, 0, 0] ->= [0, 0, 1, 0], [0, 0, 1, 0] ->= [0, 0, 0, 0], [1, 0, 0, 1] ->= [1, 1, 1, 0], [1, 0, 1, 0] ->= [1, 1, 1, 1]) 15.51/3.96 reason 15.51/3.96 EDG has 0 SCCs 15.51/3.96 15.51/3.96 property Termination 15.51/3.96 has value True 15.51/3.97 for SRS ( [3, 0, 0, 1] |-> [3, 1, 1, 0], [3, 0, 1, 0] |-> [3, 1, 1, 1], [0, 1, 0, 0] ->= [0, 0, 1, 0], [0, 0, 1, 0] ->= [0, 0, 0, 0], [1, 0, 0, 1] ->= [1, 1, 1, 0], [1, 0, 1, 0] ->= [1, 1, 1, 1]) 15.51/3.97 reason 15.51/3.98 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 15.51/3.98 interpretation 15.51/3.98 0 / 4A 4A \ 15.51/3.98 \ 4A 4A / 15.51/3.98 1 / 4A 4A \ 15.51/3.98 \ 2A 2A / 15.51/3.98 3 / 7A 9A \ 15.51/3.98 \ 7A 9A / 15.51/3.98 [3, 0, 0, 1] |-> [3, 1, 1, 0] 15.51/3.98 lhs rhs ge gt 15.51/3.98 / 21A 21A \ / 19A 19A \ True True 15.51/3.98 \ 21A 21A / \ 19A 19A / 15.51/3.98 [3, 0, 1, 0] |-> [3, 1, 1, 1] 15.51/3.98 lhs rhs ge gt 15.51/3.98 / 21A 21A \ / 19A 19A \ True True 15.51/3.98 \ 21A 21A / \ 19A 19A / 15.51/3.98 [0, 1, 0, 0] ->= [0, 0, 1, 0] 15.51/3.98 lhs rhs ge gt 15.51/3.98 / 16A 16A \ / 16A 16A \ True False 15.51/3.98 \ 16A 16A / \ 16A 16A / 15.51/3.98 [0, 0, 1, 0] ->= [0, 0, 0, 0] 15.51/3.98 lhs rhs ge gt 15.51/3.98 / 16A 16A \ / 16A 16A \ True False 15.51/3.98 \ 16A 16A / \ 16A 16A / 15.51/3.98 [1, 0, 0, 1] ->= [1, 1, 1, 0] 15.51/3.98 lhs rhs ge gt 15.51/3.98 / 16A 16A \ / 16A 16A \ True False 15.51/3.98 \ 14A 14A / \ 14A 14A / 15.51/3.98 [1, 0, 1, 0] ->= [1, 1, 1, 1] 15.51/3.98 lhs rhs ge gt 15.51/3.98 / 16A 16A \ / 16A 16A \ True False 15.51/3.98 \ 14A 14A / \ 14A 14A / 15.51/3.98 property Termination 15.51/3.98 has value True 15.51/3.98 for SRS ( [0, 1, 0, 0] ->= [0, 0, 1, 0], [0, 0, 1, 0] ->= [0, 0, 0, 0], [1, 0, 0, 1] ->= [1, 1, 1, 0], [1, 0, 1, 0] ->= [1, 1, 1, 1]) 15.51/3.98 reason 15.51/3.98 EDG has 0 SCCs 15.51/3.98 15.51/3.98 ************************************************** 15.51/3.98 summary 15.51/3.98 ************************************************** 15.51/3.98 SRS with 4 rules on 2 letters Remap { tracing = False} 15.51/3.98 SRS with 4 rules on 2 letters reverse each lhs and rhs 15.51/3.98 SRS with 4 rules on 2 letters DP transform 15.51/3.98 SRS with 18 rules on 4 letters Remap { tracing = False} 15.51/3.98 SRS with 18 rules on 4 letters weights 15.51/3.98 SRS with 8 rules on 4 letters EDG 15.51/3.98 2 sub-proofs 15.51/3.98 1 SRS with 6 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 15.51/3.98 SRS with 5 rules on 3 letters EDG 15.51/3.98 SRS with 5 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 15.51/3.98 SRS with 4 rules on 2 letters EDG 15.51/3.98 15.51/3.98 2 SRS with 6 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 15.51/3.98 SRS with 4 rules on 2 letters EDG 15.51/3.99 15.51/3.99 ************************************************** 15.51/4.02 (4, 2)\Deepee(18, 4)\Weight(8, 4)\EDG[(6, 3)\Matrix{\Arctic}{2}(5, 3)\Matrix{\Arctic}{2}(4, 2)\EDG[],(6, 3)\Matrix{\Arctic}{2}(4, 2)\EDG[]] 15.51/4.02 ************************************************** 15.86/4.10 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]} 15.86/4.10 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 16.19/4.20 EOF