38.56/9.80 YES 38.56/9.80 property Termination 38.56/9.80 has value True 38.56/9.81 for SRS ( [a, a, a, a] -> [b, a, b, b], [b, b, a, b] -> [a, b, b, b], [a, a, b, a] -> [a, a, a, a]) 38.56/9.81 reason 38.56/9.81 remap for 3 rules 38.56/9.81 property Termination 38.56/9.81 has value True 38.56/9.81 for SRS ( [0, 0, 0, 0] -> [1, 0, 1, 1], [1, 1, 0, 1] -> [0, 1, 1, 1], [0, 0, 1, 0] -> [0, 0, 0, 0]) 38.56/9.81 reason 38.56/9.81 reverse each lhs and rhs 38.56/9.81 property Termination 38.56/9.81 has value True 38.56/9.81 for SRS ( [0, 0, 0, 0] -> [1, 1, 0, 1], [1, 0, 1, 1] -> [1, 1, 1, 0], [0, 1, 0, 0] -> [0, 0, 0, 0]) 38.56/9.81 reason 38.56/9.81 DP transform 38.56/9.81 property Termination 38.56/9.81 has value True 38.56/9.82 for SRS ( [0, 0, 0, 0] ->= [1, 1, 0, 1], [1, 0, 1, 1] ->= [1, 1, 1, 0], [0, 1, 0, 0] ->= [0, 0, 0, 0], [0#, 0, 0, 0] |-> [1#, 1, 0, 1], [0#, 0, 0, 0] |-> [1#, 0, 1], [0#, 0, 0, 0] |-> [0#, 1], [0#, 0, 0, 0] |-> [1#], [1#, 0, 1, 1] |-> [1#, 1, 1, 0], [1#, 0, 1, 1] |-> [1#, 1, 0], [1#, 0, 1, 1] |-> [1#, 0], [1#, 0, 1, 1] |-> [0#], [0#, 1, 0, 0] |-> [0#, 0, 0, 0], [0#, 1, 0, 0] |-> [0#, 0, 0]) 38.56/9.82 reason 38.56/9.82 remap for 13 rules 38.56/9.82 property Termination 38.56/9.82 has value True 38.56/9.83 for SRS ( [0, 0, 0, 0] ->= [1, 1, 0, 1], [1, 0, 1, 1] ->= [1, 1, 1, 0], [0, 1, 0, 0] ->= [0, 0, 0, 0], [2, 0, 0, 0] |-> [3, 1, 0, 1], [2, 0, 0, 0] |-> [3, 0, 1], [2, 0, 0, 0] |-> [2, 1], [2, 0, 0, 0] |-> [3], [3, 0, 1, 1] |-> [3, 1, 1, 0], [3, 0, 1, 1] |-> [3, 1, 0], [3, 0, 1, 1] |-> [3, 0], [3, 0, 1, 1] |-> [2], [2, 1, 0, 0] |-> [2, 0, 0, 0], [2, 1, 0, 0] |-> [2, 0, 0]) 38.56/9.83 reason 38.56/9.83 weights 38.56/9.83 Map [(0, 2/1), (1, 2/1), (2, 1/1)] 38.56/9.83 38.56/9.83 property Termination 38.56/9.83 has value True 38.56/9.83 for SRS ( [0, 0, 0, 0] ->= [1, 1, 0, 1], [1, 0, 1, 1] ->= [1, 1, 1, 0], [0, 1, 0, 0] ->= [0, 0, 0, 0], [3, 0, 1, 1] |-> [3, 1, 1, 0], [2, 1, 0, 0] |-> [2, 0, 0, 0]) 38.56/9.83 reason 38.56/9.83 EDG has 2 SCCs 38.56/9.83 property Termination 38.56/9.83 has value True 38.56/9.84 for SRS ( [3, 0, 1, 1] |-> [3, 1, 1, 0], [0, 0, 0, 0] ->= [1, 1, 0, 1], [1, 0, 1, 1] ->= [1, 1, 1, 0], [0, 1, 0, 0] ->= [0, 0, 0, 0]) 38.56/9.84 reason 38.56/9.84 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 38.56/9.84 interpretation 38.56/9.84 0 / 6A 8A \ 38.56/9.84 \ 4A 6A / 38.56/9.84 1 / 4A 6A \ 38.56/9.84 \ 4A 6A / 38.56/9.84 3 / 12A 12A \ 38.56/9.84 \ 12A 12A / 38.56/9.84 [3, 0, 1, 1] |-> [3, 1, 1, 0] 38.56/9.84 lhs rhs ge gt 38.56/9.84 / 30A 32A \ / 28A 30A \ True True 38.56/9.84 \ 30A 32A / \ 28A 30A / 38.56/9.84 [0, 0, 0, 0] ->= [1, 1, 0, 1] 38.56/9.84 lhs rhs ge gt 38.56/9.84 / 24A 26A \ / 22A 24A \ True False 38.56/9.84 \ 22A 24A / \ 22A 24A / 38.56/9.84 [1, 0, 1, 1] ->= [1, 1, 1, 0] 38.56/9.84 lhs rhs ge gt 38.56/9.84 / 22A 24A \ / 22A 24A \ True False 38.56/9.84 \ 22A 24A / \ 22A 24A / 38.56/9.84 [0, 1, 0, 0] ->= [0, 0, 0, 0] 38.56/9.84 lhs rhs ge gt 38.56/9.84 / 24A 26A \ / 24A 26A \ True False 38.56/9.84 \ 22A 24A / \ 22A 24A / 38.56/9.84 property Termination 38.56/9.85 has value True 38.56/9.85 for SRS ( [0, 0, 0, 0] ->= [1, 1, 0, 1], [1, 0, 1, 1] ->= [1, 1, 1, 0], [0, 1, 0, 0] ->= [0, 0, 0, 0]) 38.56/9.85 reason 38.56/9.85 EDG has 0 SCCs 38.56/9.85 38.56/9.85 property Termination 38.56/9.85 has value True 38.85/9.85 for SRS ( [2, 1, 0, 0] |-> [2, 0, 0, 0], [0, 0, 0, 0] ->= [1, 1, 0, 1], [1, 0, 1, 1] ->= [1, 1, 1, 0], [0, 1, 0, 0] ->= [0, 0, 0, 0]) 38.85/9.85 reason 38.85/9.85 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 38.85/9.85 interpretation 38.85/9.86 0 Wk / 0A 2A 1A 1A \ 38.85/9.86 | 1A 1A - 0A | 38.85/9.86 | 0A 1A - - | 38.85/9.86 \ - - - 0A / 38.85/9.87 1 Wk / - - 4A 0A \ 38.85/9.87 | - - 1A - | 38.85/9.87 | - - - - | 38.85/9.87 \ - - - 0A / 38.85/9.87 2 Wk / 0A - 1A 4A \ 38.85/9.87 | - - - - | 38.85/9.87 | - - - - | 38.85/9.87 \ - - - 0A / 38.85/9.87 [2, 1, 0, 0] |-> [2, 0, 0, 0] 38.85/9.87 lhs rhs ge gt 38.85/9.87 Wk / 6A 6A 5A 5A \ Wk / 4A 5A 4A 4A \ True True 38.85/9.87 | - - - - | | - - - - | 38.85/9.87 | - - - - | | - - - - | 38.85/9.87 \ - - - 0A / \ - - - 0A / 38.85/9.87 [0, 0, 0, 0] ->= [1, 1, 0, 1] 38.97/9.89 lhs rhs ge gt 38.97/9.89 Wk / 6A 6A 5A 5A \ Wk / - - - 0A \ True True 38.97/9.89 | 5A 6A 5A 5A | | - - - - | 38.97/9.89 | 5A 5A 4A 4A | | - - - - | 38.97/9.89 \ - - - 0A / \ - - - 0A / 38.97/9.89 [1, 0, 1, 1] ->= [1, 1, 1, 0] 38.97/9.91 lhs rhs ge gt 38.97/9.91 Wk / - - - 4A \ Wk / - - - 0A \ True True 38.97/9.91 | - - - 1A | | - - - - | 38.97/9.91 | - - - - | | - - - - | 38.97/9.91 \ - - - 0A / \ - - - 0A / 38.97/9.91 [0, 1, 0, 0] ->= [0, 0, 0, 0] 38.97/9.93 lhs rhs ge gt 38.97/9.93 Wk / 6A 6A 5A 5A \ Wk / 6A 6A 5A 5A \ True False 38.97/9.93 | 7A 7A 6A 6A | | 5A 6A 5A 5A | 38.97/9.93 | 6A 6A 5A 5A | | 5A 5A 4A 4A | 38.97/9.93 \ - - - 0A / \ - - - 0A / 38.97/9.93 property Termination 38.97/9.93 has value True 38.97/9.93 for SRS ( [0, 0, 0, 0] ->= [1, 1, 0, 1], [1, 0, 1, 1] ->= [1, 1, 1, 0], [0, 1, 0, 0] ->= [0, 0, 0, 0]) 38.97/9.93 reason 38.97/9.93 EDG has 0 SCCs 38.97/9.93 38.97/9.93 ************************************************** 38.97/9.93 summary 38.97/9.93 ************************************************** 38.97/9.93 SRS with 3 rules on 2 letters Remap { tracing = False} 38.97/9.93 SRS with 3 rules on 2 letters reverse each lhs and rhs 38.97/9.93 SRS with 3 rules on 2 letters DP transform 38.97/9.93 SRS with 13 rules on 4 letters Remap { tracing = False} 38.97/9.93 SRS with 13 rules on 4 letters weights 38.97/9.93 SRS with 5 rules on 4 letters EDG 38.97/9.93 2 sub-proofs 38.97/9.93 1 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 38.97/9.93 SRS with 3 rules on 2 letters EDG 38.97/9.93 38.97/9.93 2 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 38.97/9.93 SRS with 3 rules on 2 letters EDG 38.97/9.93 38.97/9.93 ************************************************** 38.97/9.94 (3, 2)\Deepee(13, 4)\Weight(5, 4)\EDG[(4, 3)\Matrix{\Arctic}{2}(3, 2)\EDG[],(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[]] 38.97/9.94 ************************************************** 39.54/10.03 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]} 39.54/10.03 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 39.81/10.14 EOF