42.62/10.79 YES 42.62/10.79 property Termination 42.62/10.79 has value True 42.62/10.79 for SRS ( [a, b] -> [], [a, c] -> [a, b, b, c, c, a], [b, c] -> []) 42.62/10.79 reason 42.62/10.79 remap for 3 rules 42.62/10.79 property Termination 42.62/10.79 has value True 42.62/10.79 for SRS ( [0, 1] -> [], [0, 2] -> [0, 1, 1, 2, 2, 0], [1, 2] -> []) 42.62/10.79 reason 42.62/10.79 reverse each lhs and rhs 42.62/10.79 property Termination 42.62/10.79 has value True 42.62/10.79 for SRS ( [1, 0] -> [], [2, 0] -> [0, 2, 2, 1, 1, 0], [2, 1] -> []) 42.62/10.79 reason 42.62/10.79 DP transform 42.62/10.79 property Termination 42.62/10.79 has value True 42.62/10.79 for SRS ( [1, 0] ->= [], [2, 0] ->= [0, 2, 2, 1, 1, 0], [2, 1] ->= [], [2#, 0] |-> [2#, 2, 1, 1, 0], [2#, 0] |-> [2#, 1, 1, 0], [2#, 0] |-> [1#, 1, 0], [2#, 0] |-> [1#, 0]) 42.62/10.79 reason 42.62/10.79 remap for 7 rules 42.62/10.79 property Termination 42.62/10.79 has value True 42.62/10.79 for SRS ( [0, 1] ->= [], [2, 1] ->= [1, 2, 2, 0, 0, 1], [2, 0] ->= [], [3, 1] |-> [3, 2, 0, 0, 1], [3, 1] |-> [3, 0, 0, 1], [3, 1] |-> [4, 0, 1], [3, 1] |-> [4, 1]) 42.62/10.79 reason 42.62/10.79 weights 42.62/10.79 Map [(3, 2/1)] 42.62/10.79 42.62/10.79 property Termination 42.62/10.79 has value True 42.62/10.79 for SRS ( [0, 1] ->= [], [2, 1] ->= [1, 2, 2, 0, 0, 1], [2, 0] ->= [], [3, 1] |-> [3, 2, 0, 0, 1], [3, 1] |-> [3, 0, 0, 1]) 42.62/10.79 reason 42.62/10.79 EDG has 1 SCCs 42.62/10.79 property Termination 42.62/10.79 has value True 42.62/10.79 for SRS ( [3, 1] |-> [3, 2, 0, 0, 1], [3, 1] |-> [3, 0, 0, 1], [0, 1] ->= [], [2, 1] ->= [1, 2, 2, 0, 0, 1], [2, 0] ->= []) 42.62/10.79 reason 42.62/10.79 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 42.62/10.79 interpretation 42.62/10.80 0 Wk / - - 0A 0A \ 42.62/10.80 | 0A - - - | 42.62/10.80 | - 0A - 0A | 42.62/10.80 \ - - - 0A / 42.62/10.80 1 Wk / - 0A - 2A \ 42.62/10.80 | 4A 2A 1A 4A | 42.62/10.80 | 0A - - - | 42.62/10.80 \ - - - 0A / 42.62/10.80 2 Wk / - 0A - 0A \ 42.62/10.80 | - 2A 0A - | 42.62/10.80 | 0A 3A 0A 1A | 42.62/10.80 \ - - - 0A / 42.62/10.80 3 Wk / - 0A 0A 2A \ 42.62/10.80 | - - - - | 42.62/10.80 | - - - - | 42.62/10.80 \ - - - 0A / 42.62/10.80 [3, 1] |-> [3, 2, 0, 0, 1] 42.62/10.80 lhs rhs ge gt 42.62/10.80 Wk / 4A 2A 1A 4A \ Wk / 4A 2A 1A 4A \ True False 42.62/10.80 | - - - - | | - - - - | 42.62/10.80 | - - - - | | - - - - | 42.62/10.80 \ - - - 0A / \ - - - 0A / 42.62/10.80 [3, 1] |-> [3, 0, 0, 1] 42.62/10.81 lhs rhs ge gt 42.62/10.81 Wk / 4A 2A 1A 4A \ Wk / 0A 0A - 2A \ True True 42.62/10.81 | - - - - | | - - - - | 42.62/10.81 | - - - - | | - - - - | 42.62/10.81 \ - - - 0A / \ - - - 0A / 42.62/10.81 [0, 1] ->= [] 42.62/10.81 lhs rhs ge gt 42.62/10.81 Wk / 0A - - 0A \ Wk / 0A - - - \ True False 42.62/10.81 | - 0A - 2A | | - 0A - - | 42.62/10.81 | 4A 2A 1A 4A | | - - 0A - | 42.62/10.81 \ - - - 0A / \ - - - 0A / 42.62/10.81 [2, 1] ->= [1, 2, 2, 0, 0, 1] 42.62/10.81 lhs rhs ge gt 42.62/10.81 Wk / 4A 2A 1A 4A \ Wk / 4A 2A 1A 4A \ True False 42.62/10.81 | 6A 4A 3A 6A | | 6A 4A 3A 6A | 42.62/10.81 | 7A 5A 4A 7A | | 2A 0A - 2A | 42.62/10.81 \ - - - 0A / \ - - - 0A / 42.62/10.81 [2, 0] ->= [] 42.79/10.83 lhs rhs ge gt 42.79/10.83 Wk / 0A - - 0A \ Wk / 0A - - - \ True False 42.79/10.83 | 2A 0A - 0A | | - 0A - - | 42.79/10.83 | 3A 0A 0A 1A | | - - 0A - | 42.79/10.83 \ - - - 0A / \ - - - 0A / 42.79/10.83 property Termination 42.79/10.83 has value True 42.79/10.83 for SRS ( [3, 1] |-> [3, 2, 0, 0, 1], [0, 1] ->= [], [2, 1] ->= [1, 2, 2, 0, 0, 1], [2, 0] ->= []) 42.79/10.83 reason 42.79/10.83 EDG has 1 SCCs 42.79/10.83 property Termination 42.79/10.83 has value True 42.79/10.83 for SRS ( [3, 1] |-> [3, 2, 0, 0, 1], [0, 1] ->= [], [2, 1] ->= [1, 2, 2, 0, 0, 1], [2, 0] ->= []) 42.79/10.83 reason 42.79/10.83 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 42.79/10.83 interpretation 42.79/10.83 0 Wk / - 0A - 1A \ 42.79/10.83 | - - 0A 0A | 42.79/10.83 | 0A - - - | 42.79/10.83 \ - - - 0A / 42.79/10.83 1 Wk / 2A 4A 5A 5A \ 42.79/10.83 | 0A 2A 3A 3A | 42.79/10.83 | - 0A 1A - | 42.79/10.83 \ - - - 0A / 42.79/10.83 2 Wk / 2A - 0A - \ 42.79/10.83 | 0A - - 2A | 42.79/10.83 | - 0A - 2A | 42.79/10.83 \ - - - 0A / 42.79/10.83 3 Wk / 1A - 0A - \ 42.79/10.83 | - - - - | 42.79/10.83 | - - - - | 42.79/10.83 \ - - - 0A / 42.79/10.83 [3, 1] |-> [3, 2, 0, 0, 1] 42.79/10.83 lhs rhs ge gt 42.79/10.83 Wk / 3A 5A 6A 6A \ Wk / 2A 4A 5A 5A \ True True 42.79/10.83 | - - - - | | - - - - | 42.79/10.83 | - - - - | | - - - - | 42.79/10.83 \ - - - 0A / \ - - - 0A / 42.79/10.83 [0, 1] ->= [] 42.79/10.83 lhs rhs ge gt 42.79/10.83 Wk / 0A 2A 3A 3A \ Wk / 0A - - - \ True False 42.79/10.83 | - 0A 1A 0A | | - 0A - - | 42.79/10.83 | 2A 4A 5A 5A | | - - 0A - | 42.79/10.83 \ - - - 0A / \ - - - 0A / 42.79/10.83 [2, 1] ->= [1, 2, 2, 0, 0, 1] 42.79/10.83 lhs rhs ge gt 42.79/10.83 Wk / 4A 6A 7A 7A \ Wk / 4A 6A 7A 7A \ True False 42.79/10.83 | 2A 4A 5A 5A | | 2A 4A 5A 5A | 42.79/10.83 | 0A 2A 3A 3A | | 0A 2A 3A 3A | 42.79/10.83 \ - - - 0A / \ - - - 0A / 42.79/10.83 [2, 0] ->= [] 42.79/10.83 lhs rhs ge gt 42.79/10.83 Wk / 0A 2A - 3A \ Wk / 0A - - - \ True False 42.79/10.83 | - 0A - 2A | | - 0A - - | 42.79/10.83 | - - 0A 2A | | - - 0A - | 42.79/10.83 \ - - - 0A / \ - - - 0A / 42.79/10.83 property Termination 42.79/10.83 has value True 42.79/10.83 for SRS ( [0, 1] ->= [], [2, 1] ->= [1, 2, 2, 0, 0, 1], [2, 0] ->= []) 42.79/10.83 reason 42.79/10.83 EDG has 0 SCCs 42.79/10.83 42.79/10.83 ************************************************** 42.79/10.83 summary 42.79/10.83 ************************************************** 42.79/10.83 SRS with 3 rules on 3 letters Remap { tracing = False} 42.79/10.83 SRS with 3 rules on 3 letters reverse each lhs and rhs 42.79/10.83 SRS with 3 rules on 3 letters DP transform 42.79/10.83 SRS with 7 rules on 5 letters Remap { tracing = False} 42.79/10.83 SRS with 7 rules on 5 letters weights 42.79/10.83 SRS with 5 rules on 4 letters EDG 42.79/10.83 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 42.79/10.83 SRS with 4 rules on 4 letters EDG 42.79/10.83 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 42.79/10.83 SRS with 3 rules on 3 letters EDG 42.79/10.83 42.79/10.83 ************************************************** 42.79/10.83 (3, 3)\Deepee(7, 5)\Weight(5, 4)\Matrix{\Arctic}{4}(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[] 42.79/10.83 ************************************************** 42.85/10.90 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]} 42.85/10.90 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 43.30/10.98 EOF