77.06/19.48 YES 77.06/19.48 property Termination 77.06/19.48 has value True 77.06/19.49 for SRS ( [a, a] -> [a, b, b, c], [c, a] -> [], [c, b] -> [a, c]) 77.06/19.49 reason 77.06/19.49 remap for 3 rules 77.06/19.50 property Termination 77.06/19.50 has value True 77.06/19.50 for SRS ( [0, 0] -> [0, 1, 1, 2], [2, 0] -> [], [2, 1] -> [0, 2]) 77.06/19.50 reason 77.06/19.50 DP transform 77.06/19.50 property Termination 77.06/19.50 has value True 77.06/19.50 for SRS ( [0, 0] ->= [0, 1, 1, 2], [2, 0] ->= [], [2, 1] ->= [0, 2], [0#, 0] |-> [0#, 1, 1, 2], [0#, 0] |-> [2#], [2#, 1] |-> [0#, 2], [2#, 1] |-> [2#]) 77.06/19.50 reason 77.06/19.50 remap for 7 rules 77.06/19.50 property Termination 77.06/19.50 has value True 77.06/19.50 for SRS ( [0, 0] ->= [0, 1, 1, 2], [2, 0] ->= [], [2, 1] ->= [0, 2], [3, 0] |-> [3, 1, 1, 2], [3, 0] |-> [4], [4, 1] |-> [3, 2], [4, 1] |-> [4]) 77.06/19.50 reason 77.06/19.50 EDG has 1 SCCs 77.06/19.50 property Termination 77.06/19.50 has value True 77.06/19.50 for SRS ( [4, 1] |-> [3, 2], [3, 0] |-> [4], [4, 1] |-> [4], [0, 0] ->= [0, 1, 1, 2], [2, 0] ->= [], [2, 1] ->= [0, 2]) 77.06/19.50 reason 77.06/19.50 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 77.06/19.50 interpretation 77.06/19.52 0 Wk / 3A 1A 4A 4A \ 77.06/19.53 | - - 0A - | 77.06/19.53 | 0A 0A 3A 1A | 77.06/19.53 \ - - - 0A / 77.32/19.54 1 Wk / - 1A - 1A \ 77.32/19.54 | - 3A 0A 1A | 77.32/19.54 | 0A 0A - - | 77.32/19.54 \ - - - 0A / 77.32/19.54 2 Wk / - 3A 0A 1A \ 77.32/19.54 | - - 0A - | 77.32/19.54 | - 0A - - | 77.32/19.54 \ - - - 0A / 77.32/19.56 3 Wk / 1A 3A 5A - \ 77.32/19.56 | - - - - | 77.32/19.56 | - - 2A 3A | 77.32/19.56 \ - - - 0A / 77.45/19.58 4 Wk / - 4A - 1A \ 77.45/19.58 | - - - - | 77.45/19.58 | - 2A 1A - | 77.45/19.58 \ - - - 0A / 77.45/19.58 [4, 1] |-> [3, 2] 77.45/19.63 lhs rhs ge gt 77.45/19.63 Wk / - 7A 4A 5A \ Wk / - 5A 3A 2A \ True False 77.45/19.63 | - - - - | | - - - - | 77.45/19.63 | 1A 5A 2A 3A | | - 2A - 3A | 77.45/19.63 \ - - - 0A / \ - - - 0A / 77.45/19.63 [3, 0] |-> [4] 77.45/19.63 lhs rhs ge gt 77.45/19.63 Wk / 5A 5A 8A 6A \ Wk / - 4A - 1A \ True False 77.45/19.63 | - - - - | | - - - - | 77.45/19.63 | 2A 2A 5A 3A | | - 2A 1A - | 77.45/19.63 \ - - - 0A / \ - - - 0A / 77.45/19.63 [4, 1] |-> [4] 77.45/19.63 lhs rhs ge gt 77.45/19.63 Wk / - 7A 4A 5A \ Wk / - 4A - 1A \ True True 77.45/19.63 | - - - - | | - - - - | 77.45/19.63 | 1A 5A 2A 3A | | - 2A 1A - | 77.45/19.63 \ - - - 0A / \ - - - 0A / 77.45/19.64 [0, 0] ->= [0, 1, 1, 2] 77.75/19.67 lhs rhs ge gt 77.75/19.68 Wk / 6A 4A 7A 7A \ Wk / - 4A 7A 5A \ True False 77.75/19.68 | 0A 0A 3A 1A | | - 0A 3A 1A | 77.75/19.68 | 3A 3A 6A 4A | | - 3A 6A 4A | 77.75/19.68 \ - - - 0A / \ - - - 0A / 77.75/19.68 [2, 0] ->= [] 77.75/19.69 lhs rhs ge gt 77.75/19.69 Wk / 0A 0A 3A 1A \ Wk / 0A - - - \ True False 77.75/19.69 | 0A 0A 3A 1A | | - 0A - - | 77.75/19.69 | - - 0A - | | - - 0A - | 77.75/19.69 \ - - - 0A / \ - - - 0A / 77.75/19.70 [2, 1] ->= [0, 2] 77.75/19.71 lhs rhs ge gt 77.75/19.71 Wk / 0A 6A 3A 4A \ Wk / - 6A 3A 4A \ True False 77.75/19.71 | 0A 0A - - | | - 0A - - | 77.75/19.71 | - 3A 0A 1A | | - 3A 0A 1A | 77.75/19.71 \ - - - 0A / \ - - - 0A / 77.75/19.71 property Termination 77.75/19.71 has value True 77.75/19.71 for SRS ( [4, 1] |-> [3, 2], [3, 0] |-> [4], [0, 0] ->= [0, 1, 1, 2], [2, 0] ->= [], [2, 1] ->= [0, 2]) 77.75/19.71 reason 77.75/19.71 EDG has 1 SCCs 77.75/19.71 property Termination 77.75/19.71 has value True 77.75/19.72 for SRS ( [4, 1] |-> [3, 2], [3, 0] |-> [4], [0, 0] ->= [0, 1, 1, 2], [2, 0] ->= [], [2, 1] ->= [0, 2]) 77.75/19.72 reason 77.75/19.72 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 77.75/19.72 interpretation 77.75/19.72 0 Wk / - 0A 0A 1A \ 77.75/19.72 | 0A 1A 2A 1A | 77.75/19.72 | 0A 2A 2A 3A | 77.75/19.72 \ - - - 0A / 77.75/19.72 1 Wk / 2A 0A 0A 3A \ 77.75/19.72 | 0A - - - | 77.75/19.72 | 0A 2A - 2A | 77.75/19.72 \ - - - 0A / 77.75/19.73 2 Wk / - 0A - 1A \ 77.75/19.73 | 0A - - - | 77.75/19.73 | 0A - - 1A | 77.75/19.73 \ - - - 0A / 77.99/19.73 3 Wk / - 6A 3A 1A \ 77.99/19.73 | - - 2A 2A | 77.99/19.73 | - - - - | 77.99/19.73 \ - - - 0A / 77.99/19.73 4 Wk / 1A 7A - 5A \ 77.99/19.73 | 0A 3A 0A 5A | 77.99/19.73 | - - - - | 77.99/19.73 \ - - - 0A / 77.99/19.74 [4, 1] |-> [3, 2] 78.10/19.78 lhs rhs ge gt 78.10/19.78 Wk / 7A 1A 1A 5A \ Wk / 6A - - 4A \ True True 78.10/19.78 | 3A 2A 0A 5A | | 2A - - 3A | 78.10/19.78 | - - - - | | - - - - | 78.10/19.78 \ - - - 0A / \ - - - 0A / 78.10/19.78 [3, 0] |-> [4] 78.10/19.81 lhs rhs ge gt 78.10/19.81 Wk / 6A 7A 8A 7A \ Wk / 1A 7A - 5A \ True False 78.10/19.81 | 2A 4A 4A 5A | | 0A 3A 0A 5A | 78.10/19.81 | - - - - | | - - - - | 78.10/19.81 \ - - - 0A / \ - - - 0A / 78.10/19.81 [0, 0] ->= [0, 1, 1, 2] 78.37/19.84 lhs rhs ge gt 78.37/19.84 Wk / 0A 2A 2A 3A \ Wk / 0A 2A - 3A \ True False 78.37/19.84 | 2A 4A 4A 5A | | 2A 4A - 5A | 78.37/19.84 | 2A 4A 4A 5A | | 2A 4A - 5A | 78.37/19.84 \ - - - 0A / \ - - - 0A / 78.37/19.84 [2, 0] ->= [] 78.37/19.85 lhs rhs ge gt 78.37/19.85 Wk / 0A 1A 2A 1A \ Wk / 0A - - - \ True False 78.37/19.85 | - 0A 0A 1A | | - 0A - - | 78.37/19.85 | - 0A 0A 1A | | - - 0A - | 78.37/19.85 \ - - - 0A / \ - - - 0A / 78.37/19.85 [2, 1] ->= [0, 2] 78.52/19.88 lhs rhs ge gt 78.52/19.88 Wk / 0A - - 1A \ Wk / 0A - - 1A \ True False 78.52/19.88 | 2A 0A 0A 3A | | 2A 0A - 3A | 78.52/19.88 | 2A 0A 0A 3A | | 2A 0A - 3A | 78.52/19.88 \ - - - 0A / \ - - - 0A / 78.52/19.89 property Termination 78.52/19.89 has value True 78.52/19.89 for SRS ( [3, 0] |-> [4], [0, 0] ->= [0, 1, 1, 2], [2, 0] ->= [], [2, 1] ->= [0, 2]) 78.52/19.89 reason 78.52/19.89 weights 78.52/19.89 Map [(3, 1/1)] 78.52/19.89 78.52/19.89 property Termination 78.52/19.89 has value True 78.52/19.90 for SRS ( [0, 0] ->= [0, 1, 1, 2], [2, 0] ->= [], [2, 1] ->= [0, 2]) 78.52/19.90 reason 78.52/19.90 EDG has 0 SCCs 78.52/19.90 78.52/19.90 ************************************************** 78.52/19.90 summary 78.52/19.90 ************************************************** 78.52/19.90 SRS with 3 rules on 3 letters Remap { tracing = False} 78.52/19.90 SRS with 3 rules on 3 letters DP transform 78.52/19.90 SRS with 7 rules on 5 letters Remap { tracing = False} 78.52/19.90 SRS with 7 rules on 5 letters EDG 78.52/19.91 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 78.52/19.91 SRS with 5 rules on 5 letters EDG 78.52/19.91 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 78.52/19.91 SRS with 4 rules on 5 letters weights 78.52/19.91 SRS with 3 rules on 3 letters EDG 78.52/19.91 78.52/19.91 ************************************************** 78.52/19.92 (3, 3)\Deepee(7, 5)\EDG(6, 5)\Matrix{\Arctic}{4}(5, 5)\Matrix{\Arctic}{4}(4, 5)\Weight(3, 3)\EDG[] 78.52/19.92 ************************************************** 78.94/19.98 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]} 78.94/19.99 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 79.39/20.14 EOF