224.39/56.67 YES 224.39/56.67 property Termination 224.39/56.67 has value True 224.39/56.67 for SRS ( [a, b] -> [], [a, b] -> [b, c], [a, c] -> [c, b, a, a]) 224.39/56.67 reason 224.39/56.67 remap for 3 rules 224.39/56.67 property Termination 224.39/56.67 has value True 224.39/56.67 for SRS ( [0, 1] -> [], [0, 1] -> [1, 2], [0, 2] -> [2, 1, 0, 0]) 224.39/56.67 reason 224.39/56.67 reverse each lhs and rhs 224.39/56.67 property Termination 224.39/56.67 has value True 224.39/56.67 for SRS ( [1, 0] -> [], [1, 0] -> [2, 1], [2, 0] -> [0, 0, 1, 2]) 224.39/56.67 reason 224.39/56.67 DP transform 224.39/56.67 property Termination 224.39/56.67 has value True 224.39/56.67 for SRS ( [1, 0] ->= [], [1, 0] ->= [2, 1], [2, 0] ->= [0, 0, 1, 2], [1#, 0] |-> [2#, 1], [1#, 0] |-> [1#], [2#, 0] |-> [1#, 2], [2#, 0] |-> [2#]) 224.39/56.67 reason 224.39/56.67 remap for 7 rules 224.39/56.67 property Termination 224.39/56.67 has value True 224.39/56.67 for SRS ( [0, 1] ->= [], [0, 1] ->= [2, 0], [2, 1] ->= [1, 1, 0, 2], [3, 1] |-> [4, 0], [3, 1] |-> [3], [4, 1] |-> [3, 2], [4, 1] |-> [4]) 224.39/56.67 reason 224.39/56.67 EDG has 1 SCCs 224.39/56.67 property Termination 224.39/56.67 has value True 224.39/56.67 for SRS ( [3, 1] |-> [4, 0], [4, 1] |-> [4], [4, 1] |-> [3, 2], [3, 1] |-> [3], [0, 1] ->= [], [0, 1] ->= [2, 0], [2, 1] ->= [1, 1, 0, 2]) 224.39/56.67 reason 224.39/56.67 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 224.39/56.67 interpretation 224.39/56.67 0 Wk / 0A - - 1A \ 224.39/56.67 | 0A - 0A - | 224.39/56.67 | 0A - - - | 224.39/56.67 \ - - - 0A / 224.39/56.67 1 Wk / 1A - 0A - \ 224.39/56.67 | - 2A 4A 5A | 224.39/56.67 | 2A 0A 2A 3A | 224.51/56.68 \ - - - 0A / 224.51/56.68 2 Wk / - - 0A 0A \ 224.51/56.68 | - 2A 0A 0A | 224.51/56.68 | - 0A - - | 224.51/56.68 \ - - - 0A / 224.51/56.68 3 Wk / 1A 0A - 1A \ 224.51/56.68 | - - - - | 224.51/56.68 | - - - - | 224.51/56.68 \ - - - 0A / 224.51/56.68 4 Wk / 2A - 2A 5A \ 224.51/56.68 | - - - - | 224.51/56.68 | - - - - | 224.51/56.68 \ - - - 0A / 224.51/56.68 [3, 1] |-> [4, 0] 224.51/56.68 lhs rhs ge gt 224.51/56.68 Wk / 2A 2A 4A 5A \ Wk / 2A - - 5A \ True False 224.51/56.68 | - - - - | | - - - - | 224.51/56.68 | - - - - | | - - - - | 224.51/56.68 \ - - - 0A / \ - - - 0A / 224.51/56.68 [4, 1] |-> [4] 224.51/56.70 lhs rhs ge gt 224.51/56.70 Wk / 4A 2A 4A 5A \ Wk / 2A - 2A 5A \ True False 224.51/56.70 | - - - - | | - - - - | 224.51/56.70 | - - - - | | - - - - | 224.51/56.70 \ - - - 0A / \ - - - 0A / 224.51/56.70 [4, 1] |-> [3, 2] 224.51/56.70 lhs rhs ge gt 224.51/56.70 Wk / 4A 2A 4A 5A \ Wk / - 2A 1A 1A \ True False 224.51/56.70 | - - - - | | - - - - | 224.51/56.70 | - - - - | | - - - - | 224.51/56.70 \ - - - 0A / \ - - - 0A / 224.51/56.70 [3, 1] |-> [3] 224.51/56.70 lhs rhs ge gt 224.51/56.70 Wk / 2A 2A 4A 5A \ Wk / 1A 0A - 1A \ True True 224.51/56.70 | - - - - | | - - - - | 224.51/56.70 | - - - - | | - - - - | 224.51/56.70 \ - - - 0A / \ - - - 0A / 224.51/56.70 [0, 1] ->= [] 224.51/56.71 lhs rhs ge gt 224.51/56.71 Wk / 1A - 0A 1A \ Wk / 0A - - - \ True False 224.51/56.71 | 2A 0A 2A 3A | | - 0A - - | 224.51/56.71 | 1A - 0A - | | - - 0A - | 224.51/56.71 \ - - - 0A / \ - - - 0A / 224.51/56.71 [0, 1] ->= [2, 0] 224.51/56.71 lhs rhs ge gt 224.51/56.71 Wk / 1A - 0A 1A \ Wk / 0A - - 0A \ True False 224.51/56.71 | 2A 0A 2A 3A | | 2A - 2A 0A | 224.51/56.71 | 1A - 0A - | | 0A - 0A - | 224.51/56.71 \ - - - 0A / \ - - - 0A / 224.51/56.71 [2, 1] ->= [1, 1, 0, 2] 224.51/56.71 lhs rhs ge gt 224.51/56.71 Wk / 2A 0A 2A 3A \ Wk / - 0A 2A 3A \ True False 224.51/56.71 | 2A 4A 6A 7A | | - 4A 6A 7A | 224.51/56.71 | - 2A 4A 5A | | - 2A 4A 5A | 224.51/56.71 \ - - - 0A / \ - - - 0A / 224.51/56.71 property Termination 224.51/56.71 has value True 224.51/56.71 for SRS ( [3, 1] |-> [4, 0], [4, 1] |-> [4], [4, 1] |-> [3, 2], [0, 1] ->= [], [0, 1] ->= [2, 0], [2, 1] ->= [1, 1, 0, 2]) 224.51/56.71 reason 224.51/56.71 EDG has 1 SCCs 224.51/56.72 property Termination 224.51/56.72 has value True 224.51/56.72 for SRS ( [3, 1] |-> [4, 0], [4, 1] |-> [3, 2], [4, 1] |-> [4], [0, 1] ->= [], [0, 1] ->= [2, 0], [2, 1] ->= [1, 1, 0, 2]) 224.51/56.72 reason 224.51/56.72 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 224.51/56.72 interpretation 224.51/56.72 0 Wk / - - 0A 0A \ 224.51/56.72 | - 0A 0A - | 224.51/56.72 | - 0A - 0A | 224.51/56.72 \ - - - 0A / 224.51/56.72 1 Wk / 2A - 4A 4A \ 224.51/56.72 | - 0A 0A 2A | 224.51/56.72 | 0A - 2A 2A | 224.51/56.72 \ - - - 0A / 224.51/56.72 2 Wk / 2A - - 1A \ 224.51/56.72 | - - 0A 0A | 224.51/56.72 | 0A - - - | 224.51/56.72 \ - - - 0A / 224.51/56.72 3 Wk / 0A 4A - - \ 224.51/56.72 | - - - - | 224.51/56.72 | - - - - | 224.51/56.72 \ - - - 0A / 224.51/56.72 4 Wk / 0A 1A - 2A \ 224.51/56.72 | - - - - | 224.51/56.72 | - - - - | 224.51/56.72 \ - - - 0A / 224.51/56.72 [3, 1] |-> [4, 0] 224.51/56.72 lhs rhs ge gt 224.51/56.72 Wk / 2A 4A 4A 6A \ Wk / - 1A 1A 2A \ True True 224.51/56.72 | - - - - | | - - - - | 224.51/56.72 | - - - - | | - - - - | 224.51/56.72 \ - - - 0A / \ - - - 0A / 224.51/56.72 [4, 1] |-> [3, 2] 224.51/56.72 lhs rhs ge gt 224.51/56.72 Wk / 2A 1A 4A 4A \ Wk / 2A - 4A 4A \ True False 224.51/56.72 | - - - - | | - - - - | 224.51/56.72 | - - - - | | - - - - | 224.51/56.72 \ - - - 0A / \ - - - 0A / 224.51/56.72 [4, 1] |-> [4] 224.51/56.72 lhs rhs ge gt 224.51/56.72 Wk / 2A 1A 4A 4A \ Wk / 0A 1A - 2A \ True False 224.51/56.72 | - - - - | | - - - - | 224.51/56.72 | - - - - | | - - - - | 224.51/56.72 \ - - - 0A / \ - - - 0A / 224.51/56.72 [0, 1] ->= [] 224.51/56.72 lhs rhs ge gt 224.51/56.72 Wk / 0A - 2A 2A \ Wk / 0A - - - \ True False 224.51/56.72 | 0A 0A 2A 2A | | - 0A - - | 224.51/56.72 | - 0A 0A 2A | | - - 0A - | 224.51/56.72 \ - - - 0A / \ - - - 0A / 224.51/56.72 [0, 1] ->= [2, 0] 224.51/56.72 lhs rhs ge gt 224.51/56.72 Wk / 0A - 2A 2A \ Wk / - - 2A 2A \ True False 224.51/56.72 | 0A 0A 2A 2A | | - 0A - 0A | 224.51/56.72 | - 0A 0A 2A | | - - 0A 0A | 224.51/56.72 \ - - - 0A / \ - - - 0A / 224.51/56.72 [2, 1] ->= [1, 1, 0, 2] 224.51/56.72 lhs rhs ge gt 224.51/56.72 Wk / 4A - 6A 6A \ Wk / 4A - 6A 6A \ True False 224.51/56.72 | 0A - 2A 2A | | 0A - 2A 2A | 224.51/56.72 | 2A - 4A 4A | | 2A - 4A 4A | 224.51/56.72 \ - - - 0A / \ - - - 0A / 224.51/56.72 property Termination 224.51/56.72 has value True 224.51/56.73 for SRS ( [4, 1] |-> [3, 2], [4, 1] |-> [4], [0, 1] ->= [], [0, 1] ->= [2, 0], [2, 1] ->= [1, 1, 0, 2]) 224.51/56.73 reason 224.51/56.73 weights 224.51/56.73 Map [(4, 1/1)] 224.51/56.73 224.51/56.73 property Termination 224.51/56.73 has value True 224.51/56.73 for SRS ( [4, 1] |-> [4], [0, 1] ->= [], [0, 1] ->= [2, 0], [2, 1] ->= [1, 1, 0, 2]) 224.51/56.73 reason 224.51/56.73 EDG has 1 SCCs 224.51/56.73 property Termination 224.51/56.73 has value True 224.51/56.73 for SRS ( [4, 1] |-> [4], [0, 1] ->= [], [0, 1] ->= [2, 0], [2, 1] ->= [1, 1, 0, 2]) 224.51/56.73 reason 224.51/56.73 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 224.51/56.73 interpretation 224.51/56.73 0 Wk / - 0A - 1A \ 224.51/56.73 | 0A - - - | 224.51/56.73 | - 0A - 1A | 224.51/56.73 \ - - - 0A / 224.51/56.73 1 Wk / 0A 0A - 2A \ 224.51/56.73 | 0A 2A 0A 3A | 224.51/56.73 | 2A 4A 2A 5A | 224.51/56.73 \ - - - 0A / 224.51/56.73 2 Wk / - 0A - 0A \ 224.51/56.73 | 0A 0A 0A 0A | 224.51/56.73 | 0A 0A 2A - | 224.51/56.73 \ - - - 0A / 224.51/56.73 4 Wk / - - 0A 4A \ 224.51/56.73 | - - - - | 224.51/56.73 | - - - - | 224.51/56.73 \ - - - 0A / 224.51/56.73 [4, 1] |-> [4] 224.51/56.74 lhs rhs ge gt 224.51/56.74 Wk / 2A 4A 2A 5A \ Wk / - - 0A 4A \ True True 224.51/56.74 | - - - - | | - - - - | 224.51/56.74 | - - - - | | - - - - | 224.51/56.74 \ - - - 0A / \ - - - 0A / 224.51/56.74 [0, 1] ->= [] 224.51/56.74 lhs rhs ge gt 224.51/56.74 Wk / 0A 2A 0A 3A \ Wk / 0A - - - \ True False 224.51/56.74 | 0A 0A - 2A | | - 0A - - | 224.51/56.74 | 0A 2A 0A 3A | | - - 0A - | 224.51/56.74 \ - - - 0A / \ - - - 0A / 224.51/56.74 [0, 1] ->= [2, 0] 224.51/56.74 lhs rhs ge gt 224.51/56.74 Wk / 0A 2A 0A 3A \ Wk / 0A - - 0A \ True False 224.51/56.74 | 0A 0A - 2A | | 0A 0A - 1A | 224.51/56.74 | 0A 2A 0A 3A | | 0A 2A - 3A | 224.51/56.74 \ - - - 0A / \ - - - 0A / 224.51/56.74 [2, 1] ->= [1, 1, 0, 2] 224.75/56.74 lhs rhs ge gt 224.75/56.74 Wk / 0A 2A 0A 3A \ Wk / 0A 2A 0A 3A \ True False 224.75/56.74 | 2A 4A 2A 5A | | 2A 4A 2A 5A | 224.75/56.74 | 4A 6A 4A 7A | | 4A 6A 4A 7A | 224.75/56.74 \ - - - 0A / \ - - - 0A / 224.75/56.74 property Termination 224.75/56.74 has value True 224.75/56.74 for SRS ( [0, 1] ->= [], [0, 1] ->= [2, 0], [2, 1] ->= [1, 1, 0, 2]) 224.75/56.74 reason 224.75/56.74 EDG has 0 SCCs 224.75/56.74 224.75/56.74 ************************************************** 224.75/56.74 summary 224.75/56.74 ************************************************** 224.75/56.74 SRS with 3 rules on 3 letters Remap { tracing = False} 224.75/56.74 SRS with 3 rules on 3 letters reverse each lhs and rhs 224.75/56.74 SRS with 3 rules on 3 letters DP transform 224.75/56.74 SRS with 7 rules on 5 letters Remap { tracing = False} 224.75/56.74 SRS with 7 rules on 5 letters EDG 224.75/56.74 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 224.75/56.74 SRS with 6 rules on 5 letters EDG 224.75/56.74 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 224.75/56.74 SRS with 5 rules on 5 letters weights 224.75/56.74 SRS with 4 rules on 4 letters EDG 224.75/56.74 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 224.75/56.74 SRS with 3 rules on 3 letters EDG 224.75/56.74 224.75/56.74 ************************************************** 224.75/56.76 (3, 3)\Deepee(7, 5)\Matrix{\Arctic}{4}(6, 5)\Matrix{\Arctic}{4}(5, 5)\Weight(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[] 224.75/56.76 ************************************************** 224.86/56.79 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]} 224.86/56.79 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 225.34/56.95 EOF