50.55/12.79 YES 50.55/12.79 property Termination 50.55/12.79 has value True 50.55/12.79 for SRS ( [b, a, b, b] -> [b, b, a, a], [a, a, b, b] -> [a, b, a, a], [b, b, b, b] -> [b, a, a, a], [a, b, a, a] -> [a, b, b, a]) 50.55/12.79 reason 50.55/12.79 remap for 4 rules 50.55/12.79 property Termination 50.55/12.79 has value True 50.55/12.79 for SRS ( [0, 1, 0, 0] -> [0, 0, 1, 1], [1, 1, 0, 0] -> [1, 0, 1, 1], [0, 0, 0, 0] -> [0, 1, 1, 1], [1, 0, 1, 1] -> [1, 0, 0, 1]) 50.55/12.79 reason 50.55/12.79 reverse each lhs and rhs 50.55/12.79 property Termination 50.55/12.79 has value True 50.55/12.79 for SRS ( [0, 0, 1, 0] -> [1, 1, 0, 0], [0, 0, 1, 1] -> [1, 1, 0, 1], [0, 0, 0, 0] -> [1, 1, 1, 0], [1, 1, 0, 1] -> [1, 0, 0, 1]) 50.55/12.79 reason 50.55/12.79 DP transform 50.55/12.79 property Termination 50.55/12.79 has value True 50.55/12.79 for SRS ( [0, 0, 1, 0] ->= [1, 1, 0, 0], [0, 0, 1, 1] ->= [1, 1, 0, 1], [0, 0, 0, 0] ->= [1, 1, 1, 0], [1, 1, 0, 1] ->= [1, 0, 0, 1], [0#, 0, 1, 0] |-> [1#, 1, 0, 0], [0#, 0, 1, 0] |-> [1#, 0, 0], [0#, 0, 1, 0] |-> [0#, 0], [0#, 0, 1, 1] |-> [1#, 1, 0, 1], [0#, 0, 1, 1] |-> [1#, 0, 1], [0#, 0, 1, 1] |-> [0#, 1], [0#, 0, 0, 0] |-> [1#, 1, 1, 0], [0#, 0, 0, 0] |-> [1#, 1, 0], [0#, 0, 0, 0] |-> [1#, 0], [1#, 1, 0, 1] |-> [1#, 0, 0, 1], [1#, 1, 0, 1] |-> [0#, 0, 1]) 50.55/12.79 reason 50.55/12.79 remap for 15 rules 50.55/12.79 property Termination 50.55/12.79 has value True 50.55/12.80 for SRS ( [0, 0, 1, 0] ->= [1, 1, 0, 0], [0, 0, 1, 1] ->= [1, 1, 0, 1], [0, 0, 0, 0] ->= [1, 1, 1, 0], [1, 1, 0, 1] ->= [1, 0, 0, 1], [2, 0, 1, 0] |-> [3, 1, 0, 0], [2, 0, 1, 0] |-> [3, 0, 0], [2, 0, 1, 0] |-> [2, 0], [2, 0, 1, 1] |-> [3, 1, 0, 1], [2, 0, 1, 1] |-> [3, 0, 1], [2, 0, 1, 1] |-> [2, 1], [2, 0, 0, 0] |-> [3, 1, 1, 0], [2, 0, 0, 0] |-> [3, 1, 0], [2, 0, 0, 0] |-> [3, 0], [3, 1, 0, 1] |-> [3, 0, 0, 1], [3, 1, 0, 1] |-> [2, 0, 1]) 50.55/12.80 reason 50.55/12.80 weights 50.55/12.80 Map [(0, 2/1), (1, 2/1), (2, 2/1), (3, 1/1)] 50.55/12.80 50.55/12.80 property Termination 50.55/12.80 has value True 50.55/12.80 for SRS ( [0, 0, 1, 0] ->= [1, 1, 0, 0], [0, 0, 1, 1] ->= [1, 1, 0, 1], [0, 0, 0, 0] ->= [1, 1, 1, 0], [1, 1, 0, 1] ->= [1, 0, 0, 1], [3, 1, 0, 1] |-> [3, 0, 0, 1]) 50.55/12.80 reason 50.55/12.80 EDG has 1 SCCs 50.55/12.80 property Termination 50.55/12.80 has value True 50.55/12.80 for SRS ( [3, 1, 0, 1] |-> [3, 0, 0, 1], [0, 0, 1, 0] ->= [1, 1, 0, 0], [0, 0, 1, 1] ->= [1, 1, 0, 1], [0, 0, 0, 0] ->= [1, 1, 1, 0], [1, 1, 0, 1] ->= [1, 0, 0, 1]) 50.55/12.80 reason 50.55/12.80 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 50.55/12.80 interpretation 50.55/12.80 0 Wk / - 4A 1A 2A \ 50.55/12.80 | 0A - - - | 50.55/12.80 | - - 1A 1A | 50.55/12.80 \ - - - 0A / 50.55/12.80 1 Wk / - - 0A 0A \ 50.55/12.80 | 1A - 2A 1A | 50.55/12.80 | - - 1A 1A | 50.55/12.80 \ - - - 0A / 50.55/12.80 3 Wk / - 0A - 1A \ 50.55/12.80 | - - - - | 50.55/12.80 | - - - - | 50.55/12.80 \ - - - 0A / 50.55/12.80 [3, 1, 0, 1] |-> [3, 0, 0, 1] 50.55/12.80 lhs rhs ge gt 50.55/12.80 Wk / 6A - 7A 6A \ Wk / 5A - 6A 5A \ True True 50.55/12.80 | - - - - | | - - - - | 50.55/12.80 | - - - - | | - - - - | 50.55/12.80 \ - - - 0A / \ - - - 0A / 50.55/12.80 [0, 0, 1, 0] ->= [1, 1, 0, 0] 50.55/12.80 lhs rhs ge gt 50.55/12.80 Wk / - - 5A 5A \ Wk / - - 3A 3A \ True False 50.55/12.80 | - 9A 7A 7A | | - - 5A 5A | 50.55/12.80 | - - 4A 4A | | - - 4A 4A | 50.55/12.80 \ - - - 0A / \ - - - 0A / 50.55/12.80 [0, 0, 1, 1] ->= [1, 1, 0, 1] 50.55/12.80 lhs rhs ge gt 50.55/12.80 Wk / - - 5A 5A \ Wk / - - 3A 3A \ True False 50.55/12.80 | - - 7A 7A | | - - 5A 5A | 50.55/12.80 | - - 4A 4A | | - - 4A 4A | 50.55/12.80 \ - - - 0A / \ - - - 0A / 50.55/12.80 [0, 0, 0, 0] ->= [1, 1, 1, 0] 50.55/12.80 lhs rhs ge gt 50.55/12.80 Wk / 8A - 6A 6A \ Wk / - - 3A 3A \ True False 50.55/12.80 | - 8A 5A 6A | | - - 5A 5A | 50.55/12.80 | - - 4A 4A | | - - 4A 4A | 50.55/12.80 \ - - - 0A / \ - - - 0A / 50.55/12.80 [1, 1, 0, 1] ->= [1, 0, 0, 1] 50.55/12.80 lhs rhs ge gt 50.55/12.80 Wk / - - 3A 3A \ Wk / - - 3A 3A \ True False 50.55/12.80 | - - 5A 5A | | - - 5A 5A | 50.55/12.80 | - - 4A 4A | | - - 4A 4A | 50.55/12.80 \ - - - 0A / \ - - - 0A / 50.55/12.80 property Termination 50.55/12.80 has value True 50.55/12.81 for SRS ( [0, 0, 1, 0] ->= [1, 1, 0, 0], [0, 0, 1, 1] ->= [1, 1, 0, 1], [0, 0, 0, 0] ->= [1, 1, 1, 0], [1, 1, 0, 1] ->= [1, 0, 0, 1]) 50.55/12.81 reason 50.55/12.81 EDG has 0 SCCs 50.55/12.81 50.55/12.81 ************************************************** 50.55/12.81 summary 50.55/12.81 ************************************************** 50.55/12.81 SRS with 4 rules on 2 letters Remap { tracing = False} 50.55/12.81 SRS with 4 rules on 2 letters reverse each lhs and rhs 50.55/12.81 SRS with 4 rules on 2 letters DP transform 50.55/12.81 SRS with 15 rules on 4 letters Remap { tracing = False} 50.55/12.81 SRS with 15 rules on 4 letters weights 50.55/12.81 SRS with 5 rules on 3 letters EDG 50.55/12.81 SRS with 5 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 50.55/12.81 SRS with 4 rules on 2 letters EDG 50.55/12.81 50.55/12.81 ************************************************** 50.55/12.81 (4, 2)\Deepee(15, 4)\Weight(5, 3)\Matrix{\Arctic}{4}(4, 2)\EDG[] 50.55/12.81 ************************************************** 50.55/12.83 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]} 50.55/12.83 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 50.94/12.94 EOF