34.55/8.73 YES 34.55/8.73 property Termination 34.55/8.73 has value True 34.55/8.73 for SRS ( [a] -> [b, c], [a, c, b] -> [b, a, a, c], [b, b] -> []) 34.55/8.73 reason 34.55/8.74 remap for 3 rules 34.55/8.74 property Termination 34.55/8.74 has value True 34.55/8.74 for SRS ( [0] -> [1, 2], [0, 2, 1] -> [1, 0, 0, 2], [1, 1] -> []) 34.55/8.74 reason 34.55/8.74 DP transform 34.55/8.74 property Termination 34.55/8.74 has value True 34.55/8.74 for SRS ( [0] ->= [1, 2], [0, 2, 1] ->= [1, 0, 0, 2], [1, 1] ->= [], [0#] |-> [1#, 2], [0#, 2, 1] |-> [1#, 0, 0, 2], [0#, 2, 1] |-> [0#, 0, 2], [0#, 2, 1] |-> [0#, 2]) 34.55/8.74 reason 34.55/8.74 remap for 7 rules 34.55/8.74 property Termination 34.55/8.74 has value True 34.55/8.74 for SRS ( [0] ->= [1, 2], [0, 2, 1] ->= [1, 0, 0, 2], [1, 1] ->= [], [3] |-> [4, 2], [3, 2, 1] |-> [4, 0, 0, 2], [3, 2, 1] |-> [3, 0, 2], [3, 2, 1] |-> [3, 2]) 34.55/8.74 reason 34.55/8.74 weights 34.55/8.74 Map [(3, 2/1)] 34.55/8.74 34.55/8.74 property Termination 34.55/8.74 has value True 34.55/8.74 for SRS ( [0] ->= [1, 2], [0, 2, 1] ->= [1, 0, 0, 2], [1, 1] ->= [], [3, 2, 1] |-> [3, 0, 2], [3, 2, 1] |-> [3, 2]) 34.55/8.74 reason 34.55/8.74 EDG has 1 SCCs 34.55/8.74 property Termination 34.55/8.74 has value True 34.55/8.74 for SRS ( [3, 2, 1] |-> [3, 0, 2], [3, 2, 1] |-> [3, 2], [0] ->= [1, 2], [0, 2, 1] ->= [1, 0, 0, 2], [1, 1] ->= []) 34.55/8.74 reason 34.55/8.74 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 34.55/8.74 interpretation 34.55/8.74 0 Wk / 0A 1A 1A 3A \ 34.55/8.74 | 2A 0A 0A 2A | 34.55/8.74 | 2A 0A 0A 2A | 34.55/8.74 \ - - - 0A / 34.55/8.74 1 Wk / 3A - 1A 3A \ 34.55/8.74 | 2A 0A 0A - | 34.55/8.74 | 2A 0A - - | 34.55/8.74 \ - - - 0A / 34.55/8.74 2 Wk / - - - 0A \ 34.55/8.74 | 2A - - - | 34.55/8.74 | - - 0A 0A | 34.55/8.74 \ - - - 0A / 34.55/8.74 3 Wk / 1A 2A 3A 5A \ 34.55/8.74 | 3A 2A 4A 6A | 34.55/8.74 | - - - - | 34.55/8.74 \ - - - 0A / 34.55/8.74 [3, 2, 1] |-> [3, 0, 2] 34.55/8.74 lhs rhs ge gt 34.55/8.74 Wk / 7A 3A 5A 7A \ Wk / 5A - 3A 5A \ True True 34.55/8.74 | 7A 4A 5A 7A | | 6A - 4A 6A | 34.55/8.74 | - - - - | | - - - - | 34.55/8.74 \ - - - 0A / \ - - - 0A / 34.55/8.74 [3, 2, 1] |-> [3, 2] 34.55/8.74 lhs rhs ge gt 34.55/8.74 Wk / 7A 3A 5A 7A \ Wk / 4A - 3A 5A \ True True 34.55/8.74 | 7A 4A 5A 7A | | 4A - 4A 6A | 34.55/8.74 | - - - - | | - - - - | 34.55/8.74 \ - - - 0A / \ - - - 0A / 34.55/8.74 [0] ->= [1, 2] 34.55/8.74 lhs rhs ge gt 34.55/8.74 Wk / 0A 1A 1A 3A \ Wk / - - 1A 3A \ True False 34.55/8.74 | 2A 0A 0A 2A | | 2A - 0A 2A | 34.55/8.74 | 2A 0A 0A 2A | | 2A - - 2A | 34.55/8.74 \ - - - 0A / \ - - - 0A / 34.55/8.74 [0, 2, 1] ->= [1, 0, 0, 2] 34.55/8.74 lhs rhs ge gt 34.55/8.74 Wk / 6A 1A 4A 6A \ Wk / 6A - 4A 6A \ True False 34.55/8.74 | 5A 0A 3A 5A | | 5A - 3A 5A | 34.55/8.74 | 5A 0A 3A 5A | | 5A - 3A 5A | 34.55/8.74 \ - - - 0A / \ - - - 0A / 34.55/8.74 [1, 1] ->= [] 34.55/8.75 lhs rhs ge gt 34.55/8.75 Wk / 6A 1A 4A 6A \ Wk / 0A - - - \ True False 34.55/8.75 | 5A 0A 3A 5A | | - 0A - - | 34.55/8.75 | 5A 0A 3A 5A | | - - 0A - | 34.55/8.75 \ - - - 0A / \ - - - 0A / 34.55/8.75 property Termination 34.55/8.75 has value True 34.55/8.75 for SRS ( [0] ->= [1, 2], [0, 2, 1] ->= [1, 0, 0, 2], [1, 1] ->= []) 34.55/8.75 reason 34.55/8.75 EDG has 0 SCCs 34.55/8.75 34.55/8.75 ************************************************** 34.55/8.75 summary 34.55/8.75 ************************************************** 34.55/8.75 SRS with 3 rules on 3 letters Remap { tracing = False} 34.55/8.75 SRS with 3 rules on 3 letters DP transform 34.55/8.75 SRS with 7 rules on 5 letters Remap { tracing = False} 34.55/8.75 SRS with 7 rules on 5 letters weights 34.55/8.75 SRS with 5 rules on 4 letters EDG 34.55/8.75 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 34.55/8.75 SRS with 3 rules on 3 letters EDG 34.55/8.75 34.55/8.75 ************************************************** 34.55/8.75 (3, 3)\Deepee(7, 5)\Weight(5, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[] 34.55/8.75 ************************************************** 34.55/8.77 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]} 34.55/8.77 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 34.90/8.87 EOF