82.56/20.85 YES 82.56/20.85 property Termination 82.56/20.85 has value True 82.56/20.85 for SRS ( [a, b] -> [], [a, c] -> [b, c, a, a], [c, b] -> [a, c]) 82.56/20.85 reason 82.56/20.85 remap for 3 rules 82.56/20.85 property Termination 82.56/20.85 has value True 82.56/20.85 for SRS ( [0, 1] -> [], [0, 2] -> [1, 2, 0, 0], [2, 1] -> [0, 2]) 82.56/20.85 reason 82.56/20.85 DP transform 82.56/20.85 property Termination 82.56/20.85 has value True 82.56/20.85 for SRS ( [0, 1] ->= [], [0, 2] ->= [1, 2, 0, 0], [2, 1] ->= [0, 2], [0#, 2] |-> [2#, 0, 0], [0#, 2] |-> [0#, 0], [0#, 2] |-> [0#], [2#, 1] |-> [0#, 2], [2#, 1] |-> [2#]) 82.56/20.85 reason 82.56/20.85 remap for 8 rules 82.56/20.85 property Termination 82.56/20.85 has value True 82.56/20.85 for SRS ( [0, 1] ->= [], [0, 2] ->= [1, 2, 0, 0], [2, 1] ->= [0, 2], [3, 2] |-> [4, 0, 0], [3, 2] |-> [3, 0], [3, 2] |-> [3], [4, 1] |-> [3, 2], [4, 1] |-> [4]) 82.56/20.85 reason 82.56/20.85 weights 82.56/20.85 Map [(2, 1/2), (4, 1/2)] 82.56/20.85 82.56/20.85 property Termination 82.56/20.85 has value True 82.56/20.85 for SRS ( [0, 1] ->= [], [0, 2] ->= [1, 2, 0, 0], [2, 1] ->= [0, 2], [3, 2] |-> [4, 0, 0], [4, 1] |-> [3, 2], [4, 1] |-> [4]) 82.56/20.85 reason 82.56/20.85 EDG has 1 SCCs 82.56/20.85 property Termination 82.56/20.85 has value True 82.56/20.85 for SRS ( [3, 2] |-> [4, 0, 0], [4, 1] |-> [4], [4, 1] |-> [3, 2], [0, 1] ->= [], [0, 2] ->= [1, 2, 0, 0], [2, 1] ->= [0, 2]) 82.56/20.85 reason 82.56/20.86 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 82.56/20.86 interpretation 82.56/20.86 0 Wk / - - 0A 0A \ 82.56/20.86 | - - 0A 0A | 82.56/20.86 | 0A 0A - 1A | 82.56/20.86 \ - - - 0A / 82.56/20.86 1 Wk / - - 0A 3A \ 82.56/20.86 | - - - - | 82.56/20.86 | 0A 0A 2A 3A | 82.56/20.86 \ - - - 0A / 82.56/20.86 2 Wk / 0A 0A 0A 2A \ 82.56/20.86 | - - 4A 5A | 82.56/20.86 | - - 2A 3A | 82.56/20.86 \ - - - 0A / 82.56/20.86 3 Wk / - 0A - 0A \ 82.56/20.86 | 2A - 2A 6A | 82.56/20.86 | 1A 0A 0A - | 82.56/20.86 \ - - - 0A / 82.56/20.86 4 Wk / - - 4A 3A \ 82.56/20.86 | 0A 1A 3A - | 82.56/20.86 | 0A - 4A 4A | 82.56/20.86 \ - - - 0A / 82.56/20.86 [3, 2] |-> [4, 0, 0] 82.56/20.88 lhs rhs ge gt 82.56/20.88 Wk / - - 4A 5A \ Wk / - - 4A 5A \ True False 82.56/20.88 | 2A 2A 4A 6A | | 1A 1A 3A 4A | 82.56/20.88 | 1A 1A 4A 5A | | 0A 0A 4A 5A | 82.56/20.88 \ - - - 0A / \ - - - 0A / 82.56/20.88 [4, 1] |-> [4] 82.56/20.88 lhs rhs ge gt 82.56/20.88 Wk / 4A 4A 6A 7A \ Wk / - - 4A 3A \ True True 82.56/20.88 | 3A 3A 5A 6A | | 0A 1A 3A - | 82.56/20.88 | 4A 4A 6A 7A | | 0A - 4A 4A | 82.56/20.88 \ - - - 0A / \ - - - 0A / 82.56/20.88 [4, 1] |-> [3, 2] 82.56/20.88 lhs rhs ge gt 82.56/20.88 Wk / 4A 4A 6A 7A \ Wk / - - 4A 5A \ True False 82.56/20.88 | 3A 3A 5A 6A | | 2A 2A 4A 6A | 82.56/20.88 | 4A 4A 6A 7A | | 1A 1A 4A 5A | 82.56/20.88 \ - - - 0A / \ - - - 0A / 82.56/20.88 [0, 1] ->= [] 82.56/20.90 lhs rhs ge gt 82.56/20.90 Wk / 0A 0A 2A 3A \ Wk / 0A - - - \ True False 82.56/20.90 | 0A 0A 2A 3A | | - 0A - - | 82.56/20.90 | - - 0A 3A | | - - 0A - | 82.56/20.90 \ - - - 0A / \ - - - 0A / 82.56/20.90 [0, 2] ->= [1, 2, 0, 0] 82.56/20.91 lhs rhs ge gt 82.56/20.91 Wk / - - 2A 3A \ Wk / - - 2A 3A \ True False 82.56/20.91 | - - 2A 3A | | - - - - | 82.56/20.91 | 0A 0A 4A 5A | | 0A 0A 4A 5A | 82.56/20.91 \ - - - 0A / \ - - - 0A / 82.56/20.91 [2, 1] ->= [0, 2] 82.56/20.91 lhs rhs ge gt 82.56/20.91 Wk / 0A 0A 2A 3A \ Wk / - - 2A 3A \ True False 82.56/20.91 | 4A 4A 6A 7A | | - - 2A 3A | 82.56/20.91 | 2A 2A 4A 5A | | 0A 0A 4A 5A | 82.56/20.91 \ - - - 0A / \ - - - 0A / 82.56/20.91 property Termination 82.56/20.91 has value True 82.56/20.91 for SRS ( [3, 2] |-> [4, 0, 0], [4, 1] |-> [3, 2], [0, 1] ->= [], [0, 2] ->= [1, 2, 0, 0], [2, 1] ->= [0, 2]) 82.56/20.91 reason 82.56/20.91 EDG has 1 SCCs 82.56/20.91 property Termination 82.56/20.91 has value True 82.56/20.92 for SRS ( [3, 2] |-> [4, 0, 0], [4, 1] |-> [3, 2], [0, 1] ->= [], [0, 2] ->= [1, 2, 0, 0], [2, 1] ->= [0, 2]) 82.56/20.92 reason 82.56/20.92 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 82.56/20.92 interpretation 82.56/20.92 0 Wk / - - 0A 0A \ 82.56/20.92 | 1A 0A 1A 0A | 82.56/20.92 | 0A - - 0A | 82.56/20.92 \ - - - 0A / 82.56/20.92 1 Wk / 1A - 0A 1A \ 82.56/20.92 | - 0A 1A 0A | 82.56/20.92 | 0A - - 0A | 82.56/20.92 \ - - - 0A / 82.56/20.92 2 Wk / 5A - 0A 5A \ 82.56/20.92 | 2A 6A 7A 3A | 82.56/20.92 | 6A - 1A 6A | 82.56/20.92 \ - - - 0A / 82.56/20.92 3 Wk / 0A - - 4A \ 82.56/20.92 | - - - - | 82.56/20.92 | - - - - | 82.56/20.92 \ - - - 0A / 82.56/20.92 4 Wk / 5A - 0A - \ 82.56/20.92 | - - - - | 82.56/20.92 | - - - - | 82.56/20.92 \ - - - 0A / 82.56/20.92 [3, 2] |-> [4, 0, 0] 82.56/20.93 lhs rhs ge gt 82.56/20.93 Wk / 5A - 0A 5A \ Wk / 5A - 0A 5A \ True False 82.56/20.93 | - - - - | | - - - - | 82.56/20.93 | - - - - | | - - - - | 82.56/20.93 \ - - - 0A / \ - - - 0A / 82.56/20.93 [4, 1] |-> [3, 2] 82.56/20.93 lhs rhs ge gt 82.56/20.93 Wk / 6A - 5A 6A \ Wk / 5A - 0A 5A \ True True 82.56/20.93 | - - - - | | - - - - | 82.56/20.93 | - - - - | | - - - - | 82.56/20.93 \ - - - 0A / \ - - - 0A / 82.56/20.93 [0, 1] ->= [] 82.56/20.93 lhs rhs ge gt 82.56/20.93 Wk / 0A - - 0A \ Wk / 0A - - - \ True False 82.56/20.93 | 2A 0A 1A 2A | | - 0A - - | 82.56/20.93 | 1A - 0A 1A | | - - 0A - | 82.56/20.93 \ - - - 0A / \ - - - 0A / 82.56/20.93 [0, 2] ->= [1, 2, 0, 0] 82.90/20.95 lhs rhs ge gt 82.90/20.95 Wk / 6A - 1A 6A \ Wk / 6A - 1A 6A \ True False 82.90/20.95 | 7A 6A 7A 7A | | 7A 6A 7A 7A | 82.90/20.95 | 5A - 0A 5A | | 5A - 0A 5A | 82.90/20.95 \ - - - 0A / \ - - - 0A / 82.90/20.95 [2, 1] ->= [0, 2] 82.90/20.95 lhs rhs ge gt 82.90/20.95 Wk / 6A - 5A 6A \ Wk / 6A - 1A 6A \ True False 82.90/20.95 | 7A 6A 7A 7A | | 7A 6A 7A 7A | 82.90/20.95 | 7A - 6A 7A | | 5A - 0A 5A | 82.90/20.95 \ - - - 0A / \ - - - 0A / 82.90/20.95 property Termination 82.90/20.95 has value True 82.90/20.95 for SRS ( [3, 2] |-> [4, 0, 0], [0, 1] ->= [], [0, 2] ->= [1, 2, 0, 0], [2, 1] ->= [0, 2]) 82.90/20.95 reason 82.90/20.95 weights 82.90/20.95 Map [(2, 1/1), (3, 1/1)] 82.90/20.95 82.90/20.95 property Termination 82.90/20.95 has value True 82.90/20.95 for SRS ( [0, 1] ->= [], [0, 2] ->= [1, 2, 0, 0], [2, 1] ->= [0, 2]) 82.90/20.95 reason 82.90/20.95 EDG has 0 SCCs 82.90/20.95 82.90/20.95 ************************************************** 82.90/20.95 summary 82.90/20.95 ************************************************** 82.90/20.95 SRS with 3 rules on 3 letters Remap { tracing = False} 82.90/20.95 SRS with 3 rules on 3 letters DP transform 82.90/20.95 SRS with 8 rules on 5 letters Remap { tracing = False} 82.90/20.95 SRS with 8 rules on 5 letters weights 82.90/20.95 SRS with 6 rules on 5 letters EDG 82.90/20.95 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 82.90/20.95 SRS with 5 rules on 5 letters EDG 82.90/20.96 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 82.90/20.96 SRS with 4 rules on 5 letters weights 82.90/20.96 SRS with 3 rules on 3 letters EDG 82.90/20.96 82.90/20.96 ************************************************** 82.90/20.96 (3, 3)\Deepee(8, 5)\Weight(6, 5)\Matrix{\Arctic}{4}(5, 5)\Matrix{\Arctic}{4}(4, 5)\Weight(3, 3)\EDG[] 82.90/20.96 ************************************************** 83.41/21.07 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]} 83.41/21.07 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 84.06/21.24 EOF