47.53/12.02 YES 47.53/12.03 property Termination 47.53/12.03 has value True 47.53/12.03 for SRS ( [a, b] -> [], [a, c] -> [b, c, c, a], [b, c] -> [a, b]) 47.53/12.03 reason 47.53/12.03 remap for 3 rules 47.53/12.03 property Termination 47.53/12.03 has value True 47.53/12.03 for SRS ( [0, 1] -> [], [0, 2] -> [1, 2, 2, 0], [1, 2] -> [0, 1]) 47.53/12.03 reason 47.53/12.03 reverse each lhs and rhs 47.53/12.03 property Termination 47.53/12.03 has value True 47.53/12.03 for SRS ( [1, 0] -> [], [2, 0] -> [0, 2, 2, 1], [2, 1] -> [1, 0]) 47.53/12.03 reason 47.53/12.03 DP transform 47.53/12.03 property Termination 47.53/12.03 has value True 47.53/12.05 for SRS ( [1, 0] ->= [], [2, 0] ->= [0, 2, 2, 1], [2, 1] ->= [1, 0], [2#, 0] |-> [2#, 2, 1], [2#, 0] |-> [2#, 1], [2#, 0] |-> [1#], [2#, 1] |-> [1#, 0]) 47.53/12.05 reason 47.53/12.05 remap for 7 rules 47.53/12.05 property Termination 47.53/12.05 has value True 47.53/12.05 for SRS ( [0, 1] ->= [], [2, 1] ->= [1, 2, 2, 0], [2, 0] ->= [0, 1], [3, 1] |-> [3, 2, 0], [3, 1] |-> [3, 0], [3, 1] |-> [4], [3, 0] |-> [4, 1]) 47.53/12.05 reason 47.53/12.05 weights 47.53/12.05 Map [(3, 2/1)] 47.53/12.05 47.53/12.05 property Termination 47.53/12.05 has value True 47.53/12.05 for SRS ( [0, 1] ->= [], [2, 1] ->= [1, 2, 2, 0], [2, 0] ->= [0, 1], [3, 1] |-> [3, 2, 0], [3, 1] |-> [3, 0]) 47.53/12.05 reason 47.53/12.06 EDG has 1 SCCs 47.53/12.06 property Termination 47.53/12.06 has value True 47.53/12.06 for SRS ( [3, 1] |-> [3, 2, 0], [3, 1] |-> [3, 0], [0, 1] ->= [], [2, 1] ->= [1, 2, 2, 0], [2, 0] ->= [0, 1]) 47.53/12.06 reason 47.53/12.06 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 47.53/12.06 interpretation 47.53/12.07 0 Wk / - - 0A 0A \ 47.53/12.07 | 0A - - - | 47.53/12.07 | 2A 0A - - | 47.53/12.07 \ - - - 0A / 47.53/12.07 1 Wk / 2A 0A - - \ 47.53/12.07 | 4A 2A 0A 4A | 47.53/12.07 | 0A - - - | 47.53/12.07 \ - - - 0A / 47.84/12.09 2 Wk / - 0A - 2A \ 47.84/12.09 | - 2A 0A - | 47.84/12.09 | 0A 1A 2A 4A | 47.84/12.09 \ - - - 0A / 47.84/12.10 3 Wk / - 3A - 6A \ 47.84/12.10 | 0A 1A 1A 4A | 47.84/12.10 | - 3A - 0A | 47.84/12.10 \ - - - 0A / 47.84/12.10 [3, 1] |-> [3, 2, 0] 47.84/12.13 lhs rhs ge gt 47.84/12.13 Wk / 7A 5A 3A 7A \ Wk / 5A 3A - 6A \ True False 47.84/12.13 | 5A 3A 1A 5A | | 5A 3A 1A 5A | 47.84/12.13 | 7A 5A 3A 7A | | 5A 3A - 0A | 47.84/12.13 \ - - - 0A / \ - - - 0A / 47.84/12.13 [3, 1] |-> [3, 0] 48.37/12.29 lhs rhs ge gt 48.70/12.31 Wk / 7A 5A 3A 7A \ Wk / 3A - - 6A \ True True 48.70/12.38 | 5A 3A 1A 5A | | 3A 1A 0A 4A | 49.02/12.41 | 7A 5A 3A 7A | | 3A - - 0A | 49.02/12.41 \ - - - 0A / \ - - - 0A / 49.02/12.44 [0, 1] ->= [] 49.02/12.45 lhs rhs ge gt 49.02/12.45 Wk / 0A - - 0A \ Wk / 0A - - - \ True False 49.02/12.45 | 2A 0A - - | | - 0A - - | 49.02/12.45 | 4A 2A 0A 4A | | - - 0A - | 49.02/12.45 \ - - - 0A / \ - - - 0A / 49.02/12.46 [2, 1] ->= [1, 2, 2, 0] 49.02/12.46 lhs rhs ge gt 49.02/12.46 Wk / 4A 2A 0A 4A \ Wk / 4A 2A 0A 4A \ True False 49.02/12.46 | 6A 4A 2A 6A | | 6A 4A 2A 6A | 49.02/12.46 | 5A 3A 1A 5A | | 2A 0A - 2A | 49.02/12.46 \ - - - 0A / \ - - - 0A / 49.02/12.46 [2, 0] ->= [0, 1] 49.02/12.47 lhs rhs ge gt 49.02/12.47 Wk / 0A - - 2A \ Wk / 0A - - 0A \ True False 49.02/12.47 | 2A 0A - - | | 2A 0A - - | 49.02/12.47 | 4A 2A 0A 4A | | 4A 2A 0A 4A | 49.02/12.47 \ - - - 0A / \ - - - 0A / 49.02/12.47 property Termination 49.02/12.47 has value True 49.02/12.47 for SRS ( [3, 1] |-> [3, 2, 0], [0, 1] ->= [], [2, 1] ->= [1, 2, 2, 0], [2, 0] ->= [0, 1]) 49.02/12.47 reason 49.02/12.47 EDG has 1 SCCs 49.02/12.47 property Termination 49.02/12.47 has value True 49.02/12.47 for SRS ( [3, 1] |-> [3, 2, 0], [0, 1] ->= [], [2, 1] ->= [1, 2, 2, 0], [2, 0] ->= [0, 1]) 49.02/12.47 reason 49.02/12.47 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 49.02/12.47 interpretation 49.40/12.48 0 Wk / - 0A - 0A \ 49.40/12.48 | - - 0A - | 49.40/12.48 | 0A 2A - - | 49.40/12.48 \ - - - 0A / 49.40/12.48 1 Wk / 2A 4A 0A 5A \ 49.40/12.48 | 0A 1A - - | 49.40/12.48 | - 0A - 0A | 49.40/12.48 \ - - - 0A / 49.40/12.48 2 Wk / 2A - 0A 3A \ 49.40/12.48 | 0A - - - | 49.40/12.48 | 0A 0A 2A 5A | 49.40/12.48 \ - - - 0A / 49.40/12.48 3 Wk / 0A - - 4A \ 49.40/12.48 | - - - - | 49.40/12.48 | - - - - | 49.40/12.48 \ - - - 0A / 49.40/12.48 [3, 1] |-> [3, 2, 0] 49.40/12.49 lhs rhs ge gt 49.40/12.49 Wk / 2A 4A 0A 5A \ Wk / 0A 2A - 4A \ True True 49.40/12.49 | - - - - | | - - - - | 49.40/12.49 | - - - - | | - - - - | 49.40/12.49 \ - - - 0A / \ - - - 0A / 49.40/12.49 [0, 1] ->= [] 49.47/12.50 lhs rhs ge gt 49.47/12.50 Wk / 0A 1A - 0A \ Wk / 0A - - - \ True False 49.47/12.50 | - 0A - 0A | | - 0A - - | 49.47/12.50 | 2A 4A 0A 5A | | - - 0A - | 49.47/12.50 \ - - - 0A / \ - - - 0A / 49.47/12.50 [2, 1] ->= [1, 2, 2, 0] 49.47/12.50 lhs rhs ge gt 49.47/12.50 Wk / 4A 6A 2A 7A \ Wk / 4A 6A 2A 7A \ True False 49.47/12.50 | 2A 4A 0A 5A | | 2A 4A 0A 5A | 49.47/12.50 | 2A 4A 0A 5A | | 0A 2A - 3A | 49.47/12.50 \ - - - 0A / \ - - - 0A / 49.47/12.50 [2, 0] ->= [0, 1] 49.47/12.50 lhs rhs ge gt 49.47/12.50 Wk / 0A 2A - 3A \ Wk / 0A 1A - 0A \ True False 49.47/12.50 | - 0A - 0A | | - 0A - 0A | 49.47/12.50 | 2A 4A 0A 5A | | 2A 4A 0A 5A | 49.47/12.50 \ - - - 0A / \ - - - 0A / 49.47/12.50 property Termination 49.47/12.50 has value True 49.47/12.50 for SRS ( [0, 1] ->= [], [2, 1] ->= [1, 2, 2, 0], [2, 0] ->= [0, 1]) 49.47/12.50 reason 49.47/12.50 EDG has 0 SCCs 49.47/12.50 49.47/12.50 ************************************************** 49.47/12.50 summary 49.47/12.50 ************************************************** 49.60/12.53 SRS with 3 rules on 3 letters Remap { tracing = False} 49.60/12.53 SRS with 3 rules on 3 letters reverse each lhs and rhs 49.60/12.53 SRS with 3 rules on 3 letters DP transform 49.60/12.53 SRS with 7 rules on 5 letters Remap { tracing = False} 49.60/12.53 SRS with 7 rules on 5 letters weights 49.60/12.53 SRS with 5 rules on 4 letters EDG 49.60/12.53 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 49.60/12.53 SRS with 4 rules on 4 letters EDG 49.60/12.53 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 49.60/12.53 SRS with 3 rules on 3 letters EDG 49.60/12.53 49.60/12.53 ************************************************** 49.60/12.53 (3, 3)\Deepee(7, 5)\Weight(5, 4)\Matrix{\Arctic}{4}(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[] 49.60/12.53 ************************************************** 49.92/12.61 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]} 49.92/12.61 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 50.13/12.72 EOF