76.28/19.27 YES 76.28/19.30 property Termination 76.28/19.32 has value True 77.48/19.57 for SRS ( [a, a, a, b] -> [b, a, b, a], [a, a, b, b] -> [a, a, a, b], [a, a, a, b] -> [b, b, a, b], [b, b, b, a] -> [b, a, b, b]) 77.48/19.57 reason 77.48/19.57 remap for 4 rules 77.48/19.57 property Termination 77.48/19.57 has value True 77.48/19.57 for SRS ( [0, 0, 0, 1] -> [1, 0, 1, 0], [0, 0, 1, 1] -> [0, 0, 0, 1], [0, 0, 0, 1] -> [1, 1, 0, 1], [1, 1, 1, 0] -> [1, 0, 1, 1]) 77.48/19.57 reason 77.48/19.57 DP transform 77.48/19.57 property Termination 77.48/19.57 has value True 77.48/19.62 for SRS ( [0, 0, 0, 1] ->= [1, 0, 1, 0], [0, 0, 1, 1] ->= [0, 0, 0, 1], [0, 0, 0, 1] ->= [1, 1, 0, 1], [1, 1, 1, 0] ->= [1, 0, 1, 1], [0#, 0, 0, 1] |-> [1#, 0, 1, 0], [0#, 0, 0, 1] |-> [0#, 1, 0], [0#, 0, 0, 1] |-> [1#, 0], [0#, 0, 0, 1] |-> [0#], [0#, 0, 1, 1] |-> [0#, 0, 0, 1], [0#, 0, 1, 1] |-> [0#, 0, 1], [0#, 0, 1, 1] |-> [0#, 1], [0#, 0, 0, 1] |-> [1#, 1, 0, 1], [0#, 0, 0, 1] |-> [1#, 0, 1], [1#, 1, 1, 0] |-> [1#, 0, 1, 1], [1#, 1, 1, 0] |-> [0#, 1, 1], [1#, 1, 1, 0] |-> [1#, 1], [1#, 1, 1, 0] |-> [1#]) 77.48/19.62 reason 77.48/19.62 remap for 17 rules 77.48/19.62 property Termination 77.48/19.62 has value True 77.48/19.62 for SRS ( [0, 0, 0, 1] ->= [1, 0, 1, 0], [0, 0, 1, 1] ->= [0, 0, 0, 1], [0, 0, 0, 1] ->= [1, 1, 0, 1], [1, 1, 1, 0] ->= [1, 0, 1, 1], [2, 0, 0, 1] |-> [3, 0, 1, 0], [2, 0, 0, 1] |-> [2, 1, 0], [2, 0, 0, 1] |-> [3, 0], [2, 0, 0, 1] |-> [2], [2, 0, 1, 1] |-> [2, 0, 0, 1], [2, 0, 1, 1] |-> [2, 0, 1], [2, 0, 1, 1] |-> [2, 1], [2, 0, 0, 1] |-> [3, 1, 0, 1], [2, 0, 0, 1] |-> [3, 0, 1], [3, 1, 1, 0] |-> [3, 0, 1, 1], [3, 1, 1, 0] |-> [2, 1, 1], [3, 1, 1, 0] |-> [3, 1], [3, 1, 1, 0] |-> [3]) 77.48/19.62 reason 77.48/19.62 weights 77.48/19.62 Map [(0, 3/1), (1, 3/1), (2, 2/1)] 77.48/19.62 77.48/19.62 property Termination 77.48/19.62 has value True 77.48/19.62 for SRS ( [0, 0, 0, 1] ->= [1, 0, 1, 0], [0, 0, 1, 1] ->= [0, 0, 0, 1], [0, 0, 0, 1] ->= [1, 1, 0, 1], [1, 1, 1, 0] ->= [1, 0, 1, 1], [2, 0, 1, 1] |-> [2, 0, 0, 1], [3, 1, 1, 0] |-> [3, 0, 1, 1]) 77.48/19.62 reason 77.48/19.62 EDG has 2 SCCs 77.48/19.62 property Termination 77.48/19.62 has value True 77.48/19.63 for SRS ( [2, 0, 1, 1] |-> [2, 0, 0, 1], [0, 0, 0, 1] ->= [1, 0, 1, 0], [0, 0, 1, 1] ->= [0, 0, 0, 1], [0, 0, 0, 1] ->= [1, 1, 0, 1], [1, 1, 1, 0] ->= [1, 0, 1, 1]) 77.48/19.63 reason 77.48/19.63 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 77.48/19.63 interpretation 77.48/19.63 0 / 3A 6A 6A \ 77.48/19.63 | 3A 6A 6A | 77.48/19.63 \ 3A 3A 3A / 77.48/19.63 1 / 6A 6A 6A \ 77.48/19.63 | 3A 3A 3A | 77.48/19.63 \ 3A 3A 3A / 77.48/19.63 2 / 27A 28A 30A \ 77.48/19.63 | 27A 28A 30A | 77.48/19.63 \ 27A 28A 30A / 77.48/19.63 [2, 0, 1, 1] |-> [2, 0, 0, 1] 77.48/19.63 lhs rhs ge gt 77.48/19.63 / 45A 45A 45A \ / 43A 43A 43A \ True True 77.48/19.63 | 45A 45A 45A | | 43A 43A 43A | 77.48/19.63 \ 45A 45A 45A / \ 43A 43A 43A / 77.48/19.63 [0, 0, 0, 1] ->= [1, 0, 1, 0] 77.48/19.63 lhs rhs ge gt 77.48/19.63 / 21A 21A 21A \ / 18A 21A 21A \ True False 77.48/19.63 | 21A 21A 21A | | 15A 18A 18A | 77.48/19.63 \ 18A 18A 18A / \ 15A 18A 18A / 77.48/19.63 [0, 0, 1, 1] ->= [0, 0, 0, 1] 77.48/19.63 lhs rhs ge gt 77.48/19.63 / 21A 21A 21A \ / 21A 21A 21A \ True False 77.48/19.63 | 21A 21A 21A | | 21A 21A 21A | 77.48/19.63 \ 18A 18A 18A / \ 18A 18A 18A / 77.48/19.63 [0, 0, 0, 1] ->= [1, 1, 0, 1] 77.48/19.63 lhs rhs ge gt 77.48/19.63 / 21A 21A 21A \ / 21A 21A 21A \ True False 77.48/19.63 | 21A 21A 21A | | 18A 18A 18A | 77.48/19.63 \ 18A 18A 18A / \ 18A 18A 18A / 77.48/19.63 [1, 1, 1, 0] ->= [1, 0, 1, 1] 77.48/19.63 lhs rhs ge gt 77.48/19.63 / 21A 24A 24A \ / 21A 21A 21A \ True False 77.48/19.63 | 18A 21A 21A | | 18A 18A 18A | 77.48/19.63 \ 18A 21A 21A / \ 18A 18A 18A / 77.48/19.63 property Termination 77.48/19.63 has value True 77.48/19.63 for SRS ( [0, 0, 0, 1] ->= [1, 0, 1, 0], [0, 0, 1, 1] ->= [0, 0, 0, 1], [0, 0, 0, 1] ->= [1, 1, 0, 1], [1, 1, 1, 0] ->= [1, 0, 1, 1]) 77.48/19.63 reason 77.48/19.63 EDG has 0 SCCs 77.48/19.63 77.48/19.63 property Termination 77.48/19.63 has value True 77.48/19.63 for SRS ( [3, 1, 1, 0] |-> [3, 0, 1, 1], [0, 0, 0, 1] ->= [1, 0, 1, 0], [0, 0, 1, 1] ->= [0, 0, 0, 1], [0, 0, 0, 1] ->= [1, 1, 0, 1], [1, 1, 1, 0] ->= [1, 0, 1, 1]) 77.48/19.63 reason 77.48/19.63 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 77.48/19.63 interpretation 77.48/19.63 0 Wk / - 0A 1A 0A \ 77.48/19.63 | - 1A 1A 0A | 77.48/19.63 | 0A - 2A 2A | 77.48/19.63 \ - - - 0A / 77.48/19.63 1 Wk / 2A 2A 1A 2A \ 77.48/19.63 | 0A 0A - 0A | 77.48/19.63 | - - - 0A | 77.48/19.63 \ - - - 0A / 77.79/19.65 3 Wk / 2A 1A - 3A \ 77.79/19.65 | - - - - | 77.79/19.65 | - - - - | 77.79/19.65 \ - - - 0A / 77.79/19.65 [3, 1, 1, 0] |-> [3, 0, 1, 1] 77.92/19.68 lhs rhs ge gt 77.92/19.68 Wk / 5A 7A 7A 7A \ Wk / 4A 4A 3A 4A \ True True 77.92/19.68 | - - - - | | - - - - | 77.92/19.68 | - - - - | | - - - - | 77.92/19.68 \ - - - 0A / \ - - - 0A / 77.92/19.68 [0, 0, 0, 1] ->= [1, 0, 1, 0] 77.92/19.68 lhs rhs ge gt 77.92/19.68 Wk / 5A 5A 4A 5A \ Wk / 2A 4A 4A 4A \ True False 77.92/19.68 | 5A 5A 4A 5A | | - 2A 2A 1A | 77.92/19.68 | 6A 6A 5A 6A | | - - - 0A | 77.92/19.68 \ - - - 0A / \ - - - 0A / 77.92/19.68 [0, 0, 1, 1] ->= [0, 0, 0, 1] 77.92/19.68 lhs rhs ge gt 77.92/19.68 Wk / 5A 5A 4A 5A \ Wk / 5A 5A 4A 5A \ True False 77.92/19.68 | 5A 5A 4A 5A | | 5A 5A 4A 5A | 77.92/19.69 | 6A 6A 5A 6A | | 6A 6A 5A 6A | 77.92/19.69 \ - - - 0A / \ - - - 0A / 77.92/19.69 [0, 0, 0, 1] ->= [1, 1, 0, 1] 77.92/19.69 lhs rhs ge gt 77.92/19.69 Wk / 5A 5A 4A 5A \ Wk / 5A 5A 4A 5A \ True False 77.92/19.69 | 5A 5A 4A 5A | | 3A 3A 2A 3A | 77.92/19.69 | 6A 6A 5A 6A | | - - - 0A | 77.92/19.69 \ - - - 0A / \ - - - 0A / 77.92/19.69 [1, 1, 1, 0] ->= [1, 0, 1, 1] 77.92/19.69 lhs rhs ge gt 77.92/19.69 Wk / 5A 7A 7A 7A \ Wk / 5A 5A 4A 5A \ True False 77.92/19.69 | 3A 5A 5A 5A | | 3A 3A 2A 3A | 77.92/19.69 | - - - 0A | | - - - 0A | 77.92/19.69 \ - - - 0A / \ - - - 0A / 77.92/19.69 property Termination 77.92/19.69 has value True 77.92/19.69 for SRS ( [0, 0, 0, 1] ->= [1, 0, 1, 0], [0, 0, 1, 1] ->= [0, 0, 0, 1], [0, 0, 0, 1] ->= [1, 1, 0, 1], [1, 1, 1, 0] ->= [1, 0, 1, 1]) 77.92/19.69 reason 77.92/19.69 EDG has 0 SCCs 77.92/19.69 77.92/19.69 ************************************************** 77.92/19.69 summary 77.92/19.69 ************************************************** 77.92/19.69 SRS with 4 rules on 2 letters Remap { tracing = False} 77.92/19.69 SRS with 4 rules on 2 letters DP transform 77.92/19.69 SRS with 17 rules on 4 letters Remap { tracing = False} 77.92/19.71 SRS with 17 rules on 4 letters weights 77.92/19.71 SRS with 6 rules on 4 letters EDG 77.92/19.71 2 sub-proofs 77.92/19.71 1 SRS with 5 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 77.92/19.71 SRS with 4 rules on 2 letters EDG 77.92/19.71 77.92/19.71 2 SRS with 5 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 77.92/19.71 SRS with 4 rules on 2 letters EDG 77.92/19.71 77.92/19.71 ************************************************** 77.92/19.71 (4, 2)\Deepee(17, 4)\Weight(6, 4)\EDG[(5, 3)\Matrix{\Arctic}{3}(4, 2)\EDG[],(5, 3)\Matrix{\Arctic}{4}(4, 2)\EDG[]] 77.92/19.71 ************************************************** 78.66/19.88 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]} 78.66/19.88 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 79.01/19.97 EOF