197.56/49.85 YES 197.56/49.85 property Termination 197.56/49.85 has value True 197.56/49.85 for SRS ( [a, a, a, a] -> [a, b, b, a], [b, b, b, a] -> [a, a, b, a], [a, b, b, a] -> [b, a, a, b]) 197.56/49.85 reason 197.56/49.85 remap for 3 rules 197.56/49.85 property Termination 197.56/49.85 has value True 197.56/49.85 for SRS ( [0, 0, 0, 0] -> [0, 1, 1, 0], [1, 1, 1, 0] -> [0, 0, 1, 0], [0, 1, 1, 0] -> [1, 0, 0, 1]) 197.56/49.85 reason 197.56/49.85 DP transform 197.56/49.85 property Termination 197.56/49.85 has value True 197.56/49.85 for SRS ( [0, 0, 0, 0] ->= [0, 1, 1, 0], [1, 1, 1, 0] ->= [0, 0, 1, 0], [0, 1, 1, 0] ->= [1, 0, 0, 1], [0#, 0, 0, 0] |-> [0#, 1, 1, 0], [0#, 0, 0, 0] |-> [1#, 1, 0], [0#, 0, 0, 0] |-> [1#, 0], [1#, 1, 1, 0] |-> [0#, 0, 1, 0], [1#, 1, 1, 0] |-> [0#, 1, 0], [0#, 1, 1, 0] |-> [1#, 0, 0, 1], [0#, 1, 1, 0] |-> [0#, 0, 1], [0#, 1, 1, 0] |-> [0#, 1], [0#, 1, 1, 0] |-> [1#]) 197.56/49.85 reason 197.56/49.85 remap for 12 rules 197.56/49.85 property Termination 197.56/49.85 has value True 197.56/49.85 for SRS ( [0, 0, 0, 0] ->= [0, 1, 1, 0], [1, 1, 1, 0] ->= [0, 0, 1, 0], [0, 1, 1, 0] ->= [1, 0, 0, 1], [2, 0, 0, 0] |-> [2, 1, 1, 0], [2, 0, 0, 0] |-> [3, 1, 0], [2, 0, 0, 0] |-> [3, 0], [3, 1, 1, 0] |-> [2, 0, 1, 0], [3, 1, 1, 0] |-> [2, 1, 0], [2, 1, 1, 0] |-> [3, 0, 0, 1], [2, 1, 1, 0] |-> [2, 0, 1], [2, 1, 1, 0] |-> [2, 1], [2, 1, 1, 0] |-> [3]) 197.56/49.85 reason 197.56/49.85 weights 197.56/49.85 Map [(0, 1/10), (1, 1/10)] 197.56/49.85 197.56/49.85 property Termination 197.56/49.85 has value True 197.56/49.86 for SRS ( [0, 0, 0, 0] ->= [0, 1, 1, 0], [1, 1, 1, 0] ->= [0, 0, 1, 0], [0, 1, 1, 0] ->= [1, 0, 0, 1], [2, 0, 0, 0] |-> [2, 1, 1, 0], [3, 1, 1, 0] |-> [2, 0, 1, 0], [2, 1, 1, 0] |-> [3, 0, 0, 1]) 197.56/49.86 reason 197.56/49.86 EDG has 1 SCCs 197.56/49.86 property Termination 197.56/49.86 has value True 197.56/49.86 for SRS ( [2, 0, 0, 0] |-> [2, 1, 1, 0], [2, 1, 1, 0] |-> [3, 0, 0, 1], [3, 1, 1, 0] |-> [2, 0, 1, 0], [0, 0, 0, 0] ->= [0, 1, 1, 0], [1, 1, 1, 0] ->= [0, 0, 1, 0], [0, 1, 1, 0] ->= [1, 0, 0, 1]) 197.56/49.86 reason 197.56/49.86 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 197.56/49.86 interpretation 197.56/49.86 0 Wk / 1A 2A 3A 3A \ 197.56/49.86 | - 0A 1A - | 197.56/49.86 | 0A - - 1A | 197.56/49.86 \ - - - 0A / 197.56/49.86 1 Wk / - 1A - 0A \ 197.56/49.86 | - 2A 0A 3A | 197.56/49.86 | - 0A - 2A | 197.56/49.86 \ - - - 0A / 197.56/49.86 2 Wk / - 2A 3A 6A \ 197.56/49.86 | - - - - | 197.56/49.86 | - - 2A - | 197.56/49.86 \ - - - 0A / 197.56/49.86 3 Wk / - 2A - 5A \ 197.56/49.86 | - - - - | 197.56/49.86 | - 0A 0A - | 197.56/49.86 \ - - - 0A / 197.56/49.86 [2, 0, 0, 0] |-> [2, 1, 1, 0] 197.56/49.89 lhs rhs ge gt 197.56/49.89 Wk / 6A 6A 7A 7A \ Wk / 4A 6A 7A 7A \ True False 197.56/49.89 | - - - - | | - - - - | 197.56/49.89 | 5A 5A 6A 6A | | 2A 4A 5A 5A | 197.56/49.89 \ - - - 0A / \ - - - 0A / 197.56/49.89 [2, 1, 1, 0] |-> [3, 0, 0, 1] 197.56/49.89 lhs rhs ge gt 197.56/49.89 Wk / 4A 6A 7A 7A \ Wk / - 4A 2A 5A \ True False 197.56/49.89 | - - - - | | - - - - | 197.56/49.89 | 2A 4A 5A 5A | | - 4A 2A 5A | 197.56/49.89 \ - - - 0A / \ - - - 0A / 197.56/49.89 [3, 1, 1, 0] |-> [2, 0, 1, 0] 197.56/49.89 lhs rhs ge gt 197.56/49.89 Wk / 4A 6A 7A 7A \ Wk / 2A 4A 5A 6A \ True True 197.56/49.89 | - - - - | | - - - - | 197.56/49.89 | 2A 4A 5A 5A | | - 3A 4A 3A | 197.56/49.89 \ - - - 0A / \ - - - 0A / 197.86/49.91 [0, 0, 0, 0] ->= [0, 1, 1, 0] 197.86/49.91 lhs rhs ge gt 197.86/49.91 Wk / 6A 6A 7A 7A \ Wk / 4A 6A 7A 7A \ True False 197.86/49.91 | 4A 4A 5A 5A | | 2A 4A 5A 5A | 197.86/49.91 | 4A 5A 6A 6A | | 1A 3A 4A 4A | 197.86/49.91 \ - - - 0A / \ - - - 0A / 197.86/49.91 [1, 1, 1, 0] ->= [0, 0, 1, 0] 197.86/49.91 lhs rhs ge gt 197.86/49.91 Wk / 3A 5A 6A 6A \ Wk / 3A 5A 6A 6A \ True False 197.86/49.91 | 4A 6A 7A 7A | | 0A 2A 3A 3A | 197.86/49.91 | 2A 4A 5A 5A | | 2A 4A 5A 5A | 197.86/49.91 \ - - - 0A / \ - - - 0A / 197.86/49.91 [0, 1, 1, 0] ->= [1, 0, 0, 1] 197.86/49.92 lhs rhs ge gt 197.86/49.92 Wk / 4A 6A 7A 7A \ Wk / - 3A 1A 4A \ True False 197.86/49.92 | 2A 4A 5A 5A | | - 4A 2A 5A | 197.86/49.92 | 1A 3A 4A 4A | | - 2A 0A 3A | 197.86/49.92 \ - - - 0A / \ - - - 0A / 197.86/49.92 property Termination 197.86/49.92 has value True 197.86/49.92 for SRS ( [2, 0, 0, 0] |-> [2, 1, 1, 0], [2, 1, 1, 0] |-> [3, 0, 0, 1], [0, 0, 0, 0] ->= [0, 1, 1, 0], [1, 1, 1, 0] ->= [0, 0, 1, 0], [0, 1, 1, 0] ->= [1, 0, 0, 1]) 197.86/49.92 reason 197.86/49.92 weights 197.86/49.92 Map [(2, 1/1)] 197.86/49.92 197.86/49.92 property Termination 197.86/49.92 has value True 197.86/49.92 for SRS ( [2, 0, 0, 0] |-> [2, 1, 1, 0], [0, 0, 0, 0] ->= [0, 1, 1, 0], [1, 1, 1, 0] ->= [0, 0, 1, 0], [0, 1, 1, 0] ->= [1, 0, 0, 1]) 197.86/49.92 reason 197.86/49.92 EDG has 1 SCCs 197.86/49.92 property Termination 197.86/49.92 has value True 197.86/49.92 for SRS ( [2, 0, 0, 0] |-> [2, 1, 1, 0], [0, 0, 0, 0] ->= [0, 1, 1, 0], [1, 1, 1, 0] ->= [0, 0, 1, 0], [0, 1, 1, 0] ->= [1, 0, 0, 1]) 197.86/49.92 reason 197.86/49.92 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 197.86/49.92 interpretation 197.86/49.92 0 Wk / 0A 0A - 0A \ 197.86/49.92 | 0A 1A - 1A | 197.86/49.92 | 3A 4A 1A 4A | 197.86/49.92 \ - - - 0A / 197.86/49.92 1 Wk / 1A 0A - 1A \ 197.86/49.92 | 0A - - - | 197.86/49.92 | 1A 1A 1A 2A | 197.86/49.92 \ - - - 0A / 197.86/49.92 2 Wk / 3A 4A - - \ 197.86/49.92 | - - - - | 197.86/49.92 | - - - - | 197.86/49.92 \ - - - 0A / 197.86/49.95 [2, 0, 0, 0] |-> [2, 1, 1, 0] 197.86/49.95 lhs rhs ge gt 197.86/49.95 Wk / 6A 7A - 7A \ Wk / 5A 5A - 5A \ True True 197.86/49.95 | - - - - | | - - - - | 197.86/49.95 | - - - - | | - - - - | 197.86/49.95 \ - - - 0A / \ - - - 0A / 197.86/49.95 [0, 0, 0, 0] ->= [0, 1, 1, 0] 197.86/49.95 lhs rhs ge gt 197.86/49.95 Wk / 2A 3A - 3A \ Wk / 2A 2A - 2A \ True False 197.86/49.95 | 3A 4A - 4A | | 2A 2A - 2A | 197.86/49.95 | 6A 7A 4A 7A | | 6A 7A 4A 7A | 197.86/49.95 \ - - - 0A / \ - - - 0A / 197.86/49.95 [1, 1, 1, 0] ->= [0, 0, 1, 0] 198.12/49.97 lhs rhs ge gt 198.12/49.97 Wk / 3A 3A - 3A \ Wk / 1A 1A - 1A \ True False 198.12/49.97 | 2A 2A - 2A | | 2A 2A - 2A | 198.12/49.97 | 6A 7A 4A 7A | | 6A 7A 4A 7A | 198.12/49.97 \ - - - 0A / \ - - - 0A / 198.12/49.97 [0, 1, 1, 0] ->= [1, 0, 0, 1] 198.12/49.97 lhs rhs ge gt 198.12/49.97 Wk / 2A 2A - 2A \ Wk / 2A 1A - 2A \ True False 198.12/49.97 | 2A 2A - 2A | | 1A 0A - 1A | 198.12/49.97 | 6A 7A 4A 7A | | 6A 5A 4A 6A | 198.12/49.97 \ - - - 0A / \ - - - 0A / 198.12/49.97 property Termination 198.12/49.97 has value True 198.12/49.97 for SRS ( [0, 0, 0, 0] ->= [0, 1, 1, 0], [1, 1, 1, 0] ->= [0, 0, 1, 0], [0, 1, 1, 0] ->= [1, 0, 0, 1]) 198.12/49.97 reason 198.12/49.97 EDG has 0 SCCs 198.12/49.97 198.12/49.97 ************************************************** 198.12/49.97 summary 198.12/49.97 ************************************************** 198.12/49.97 SRS with 3 rules on 2 letters Remap { tracing = False} 198.12/49.97 SRS with 3 rules on 2 letters DP transform 198.12/49.97 SRS with 12 rules on 4 letters Remap { tracing = False} 198.12/49.97 SRS with 12 rules on 4 letters weights 198.12/49.97 SRS with 6 rules on 4 letters EDG 198.12/49.97 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 198.12/49.97 SRS with 5 rules on 4 letters weights 198.12/49.97 SRS with 4 rules on 3 letters EDG 198.12/49.97 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 198.12/49.97 SRS with 3 rules on 2 letters EDG 198.12/49.97 198.12/49.97 ************************************************** 198.12/50.00 (3, 2)\Deepee(12, 4)\Weight(6, 4)\Matrix{\Arctic}{4}(5, 4)\Weight(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[] 198.12/50.00 ************************************************** 198.75/50.20 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]} 198.75/50.20 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 200.10/50.50 EOF