38.34/9.72 YES 38.34/9.72 property Termination 38.34/9.72 has value True 38.34/9.72 for SRS ( [a, b, b] -> [b, a, a, a], [a, a, b] -> [b, a, b]) 38.34/9.72 reason 38.34/9.72 remap for 2 rules 38.34/9.72 property Termination 38.34/9.72 has value True 38.34/9.72 for SRS ( [0, 1, 1] -> [1, 0, 0, 0], [0, 0, 1] -> [1, 0, 1]) 38.34/9.72 reason 38.34/9.72 reverse each lhs and rhs 38.34/9.72 property Termination 38.34/9.72 has value True 38.34/9.72 for SRS ( [1, 1, 0] -> [0, 0, 0, 1], [1, 0, 0] -> [1, 0, 1]) 38.34/9.72 reason 38.34/9.72 DP transform 38.34/9.72 property Termination 38.34/9.72 has value True 38.34/9.72 for SRS ( [1, 1, 0] ->= [0, 0, 0, 1], [1, 0, 0] ->= [1, 0, 1], [1#, 1, 0] |-> [1#], [1#, 0, 0] |-> [1#, 0, 1], [1#, 0, 0] |-> [1#]) 38.34/9.72 reason 38.34/9.72 remap for 5 rules 38.34/9.72 property Termination 38.34/9.72 has value True 38.34/9.72 for SRS ( [0, 0, 1] ->= [1, 1, 1, 0], [0, 1, 1] ->= [0, 1, 0], [2, 0, 1] |-> [2], [2, 1, 1] |-> [2, 1, 0], [2, 1, 1] |-> [2]) 38.34/9.72 reason 38.34/9.72 EDG has 1 SCCs 38.34/9.72 property Termination 38.34/9.72 has value True 38.34/9.72 for SRS ( [2, 0, 1] |-> [2], [2, 1, 1] |-> [2], [2, 1, 1] |-> [2, 1, 0], [0, 0, 1] ->= [1, 1, 1, 0], [0, 1, 1] ->= [0, 1, 0]) 38.34/9.72 reason 38.34/9.72 Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 38.34/9.72 interpretation 38.34/9.72 0 Wk / 0 0 0 1 \ 38.34/9.72 | 0 0 6 0 | 38.34/9.72 | 0 1 0 0 | 38.34/9.72 \ 0 0 0 1 / 38.34/9.73 1 Wk / 0 0 5 1 \ 38.34/9.73 | 1 1 1 1 | 38.34/9.73 | 0 0 0 0 | 38.34/9.73 \ 0 0 0 1 / 38.34/9.73 2 Wk / 0 1 1 1 \ 38.34/9.74 | 0 0 0 0 | 38.34/9.74 | 0 0 0 0 | 38.34/9.74 \ 0 0 0 1 / 38.34/9.74 [2, 0, 1] |-> [2] 38.34/9.77 lhs rhs ge gt 38.34/9.77 Wk / 1 1 1 2 \ Wk / 0 1 1 1 \ True True 38.34/9.77 | 0 0 0 0 | | 0 0 0 0 | 38.34/9.77 | 0 0 0 0 | | 0 0 0 0 | 38.34/9.77 \ 0 0 0 1 / \ 0 0 0 1 / 38.34/9.77 [2, 1, 1] |-> [2] 38.34/9.80 lhs rhs ge gt 38.34/9.80 Wk / 1 1 6 4 \ Wk / 0 1 1 1 \ True True 38.34/9.80 | 0 0 0 0 | | 0 0 0 0 | 38.34/9.80 | 0 0 0 0 | | 0 0 0 0 | 38.34/9.80 \ 0 0 0 1 / \ 0 0 0 1 / 38.34/9.80 [2, 1, 1] |-> [2, 1, 0] 38.67/9.83 lhs rhs ge gt 38.67/9.83 Wk / 1 1 6 4 \ Wk / 0 1 6 3 \ True True 38.67/9.83 | 0 0 0 0 | | 0 0 0 0 | 38.67/9.83 | 0 0 0 0 | | 0 0 0 0 | 38.67/9.83 \ 0 0 0 1 / \ 0 0 0 1 / 38.67/9.84 [0, 0, 1] ->= [1, 1, 1, 0] 38.67/9.85 lhs rhs ge gt 38.67/9.85 Wk / 0 0 0 1 \ Wk / 0 0 0 1 \ True False 38.67/9.85 | 6 6 6 6 | | 0 6 6 6 | 38.67/9.85 | 0 0 0 0 | | 0 0 0 0 | 38.67/9.85 \ 0 0 0 1 / \ 0 0 0 1 / 38.67/9.85 [0, 1, 1] ->= [0, 1, 0] 38.67/9.86 lhs rhs ge gt 38.67/9.86 Wk / 0 0 0 1 \ Wk / 0 0 0 1 \ True False 38.67/9.86 | 0 0 0 0 | | 0 0 0 0 | 38.67/9.86 | 1 1 6 3 | | 0 1 6 2 | 38.67/9.86 \ 0 0 0 1 / \ 0 0 0 1 / 38.67/9.86 property Termination 38.67/9.86 has value True 38.67/9.87 for SRS ( [0, 0, 1] ->= [1, 1, 1, 0], [0, 1, 1] ->= [0, 1, 0]) 38.67/9.87 reason 38.67/9.87 EDG has 0 SCCs 38.67/9.87 38.67/9.87 ************************************************** 38.67/9.87 summary 38.67/9.87 ************************************************** 38.67/9.87 SRS with 2 rules on 2 letters Remap { tracing = False} 38.67/9.88 SRS with 2 rules on 2 letters reverse each lhs and rhs 38.67/9.88 SRS with 2 rules on 2 letters DP transform 38.67/9.88 SRS with 5 rules on 3 letters Remap { tracing = False} 38.67/9.88 SRS with 5 rules on 3 letters EDG 38.67/9.88 SRS with 5 rules on 3 letters Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 38.67/9.88 SRS with 2 rules on 2 letters EDG 38.67/9.88 38.67/9.88 ************************************************** 38.67/9.88 (2, 2)\Deepee(5, 3)\Matrix{\Natural}{4}(2, 2)\EDG[] 38.67/9.88 ************************************************** 40.43/10.35 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]} 40.43/10.35 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 40.87/10.43 EOF