28.48/7.26 YES 28.48/7.26 property Termination 28.48/7.26 has value True 28.48/7.26 for SRS ( [b, a, a, a] -> [b, b, a, b], [a, b, a, b] -> [b, a, b, b], [a, a, b, a] -> [a, b, a, b], [b, b, b, b] -> [a, b, b, b]) 28.48/7.26 reason 28.48/7.26 remap for 4 rules 28.48/7.26 property Termination 28.48/7.26 has value True 28.48/7.26 for SRS ( [0, 1, 1, 1] -> [0, 0, 1, 0], [1, 0, 1, 0] -> [0, 1, 0, 0], [1, 1, 0, 1] -> [1, 0, 1, 0], [0, 0, 0, 0] -> [1, 0, 0, 0]) 28.48/7.26 reason 28.48/7.26 DP transform 28.48/7.26 property Termination 28.48/7.26 has value True 28.48/7.26 for SRS ( [0, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 1, 0] ->= [0, 1, 0, 0], [1, 1, 0, 1] ->= [1, 0, 1, 0], [0, 0, 0, 0] ->= [1, 0, 0, 0], [0#, 1, 1, 1] |-> [0#, 0, 1, 0], [0#, 1, 1, 1] |-> [0#, 1, 0], [0#, 1, 1, 1] |-> [1#, 0], [0#, 1, 1, 1] |-> [0#], [1#, 0, 1, 0] |-> [0#, 1, 0, 0], [1#, 0, 1, 0] |-> [1#, 0, 0], [1#, 0, 1, 0] |-> [0#, 0], [1#, 1, 0, 1] |-> [1#, 0, 1, 0], [1#, 1, 0, 1] |-> [0#, 1, 0], [1#, 1, 0, 1] |-> [1#, 0], [1#, 1, 0, 1] |-> [0#], [0#, 0, 0, 0] |-> [1#, 0, 0, 0]) 28.48/7.26 reason 28.48/7.26 remap for 16 rules 28.48/7.26 property Termination 28.48/7.26 has value True 28.48/7.27 for SRS ( [0, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 1, 0] ->= [0, 1, 0, 0], [1, 1, 0, 1] ->= [1, 0, 1, 0], [0, 0, 0, 0] ->= [1, 0, 0, 0], [2, 1, 1, 1] |-> [2, 0, 1, 0], [2, 1, 1, 1] |-> [2, 1, 0], [2, 1, 1, 1] |-> [3, 0], [2, 1, 1, 1] |-> [2], [3, 0, 1, 0] |-> [2, 1, 0, 0], [3, 0, 1, 0] |-> [3, 0, 0], [3, 0, 1, 0] |-> [2, 0], [3, 1, 0, 1] |-> [3, 0, 1, 0], [3, 1, 0, 1] |-> [2, 1, 0], [3, 1, 0, 1] |-> [3, 0], [3, 1, 0, 1] |-> [2], [2, 0, 0, 0] |-> [3, 0, 0, 0]) 28.48/7.27 reason 28.48/7.27 weights 28.48/7.27 Map [(0, 1/15), (1, 1/15)] 28.48/7.27 28.48/7.27 property Termination 28.48/7.27 has value True 28.48/7.27 for SRS ( [0, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 1, 0] ->= [0, 1, 0, 0], [1, 1, 0, 1] ->= [1, 0, 1, 0], [0, 0, 0, 0] ->= [1, 0, 0, 0], [2, 1, 1, 1] |-> [2, 0, 1, 0], [3, 0, 1, 0] |-> [2, 1, 0, 0], [3, 1, 0, 1] |-> [3, 0, 1, 0], [2, 0, 0, 0] |-> [3, 0, 0, 0]) 28.48/7.27 reason 28.48/7.27 EDG has 1 SCCs 28.48/7.27 property Termination 28.48/7.27 has value True 28.48/7.27 for SRS ( [2, 1, 1, 1] |-> [2, 0, 1, 0], [2, 0, 0, 0] |-> [3, 0, 0, 0], [3, 1, 0, 1] |-> [3, 0, 1, 0], [3, 0, 1, 0] |-> [2, 1, 0, 0], [0, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 1, 0] ->= [0, 1, 0, 0], [1, 1, 0, 1] ->= [1, 0, 1, 0], [0, 0, 0, 0] ->= [1, 0, 0, 0]) 28.48/7.27 reason 28.48/7.27 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 28.48/7.27 interpretation 28.48/7.27 0 / 6A 6A 6A \ 28.48/7.27 | 3A 3A 6A | 28.48/7.27 \ 3A 3A 3A / 28.48/7.27 1 / 3A 6A 6A \ 28.48/7.27 | 3A 6A 6A | 28.48/7.27 \ 3A 3A 6A / 28.48/7.27 2 / 29A 29A 29A \ 28.48/7.27 | 29A 29A 29A | 28.48/7.27 \ 29A 29A 29A / 28.48/7.27 3 / 28A 30A 31A \ 28.48/7.27 | 28A 30A 31A | 28.48/7.27 \ 28A 30A 31A / 28.48/7.27 [2, 1, 1, 1] |-> [2, 0, 1, 0] 28.48/7.27 lhs rhs ge gt 28.48/7.27 / 44A 47A 47A \ / 44A 44A 47A \ True False 28.48/7.27 | 44A 47A 47A | | 44A 44A 47A | 28.48/7.27 \ 44A 47A 47A / \ 44A 44A 47A / 28.48/7.27 [2, 0, 0, 0] |-> [3, 0, 0, 0] 28.74/7.28 lhs rhs ge gt 28.74/7.28 / 47A 47A 47A \ / 46A 46A 46A \ True True 28.74/7.28 | 47A 47A 47A | | 46A 46A 46A | 28.74/7.28 \ 47A 47A 47A / \ 46A 46A 46A / 28.74/7.28 [3, 1, 0, 1] |-> [3, 0, 1, 0] 28.74/7.28 lhs rhs ge gt 28.74/7.28 / 45A 46A 48A \ / 45A 45A 46A \ True False 28.74/7.28 | 45A 46A 48A | | 45A 45A 46A | 28.74/7.28 \ 45A 46A 48A / \ 45A 45A 46A / 28.74/7.28 [3, 0, 1, 0] |-> [2, 1, 0, 0] 28.74/7.28 lhs rhs ge gt 28.74/7.28 / 45A 45A 46A \ / 44A 44A 44A \ True True 28.74/7.28 | 45A 45A 46A | | 44A 44A 44A | 28.74/7.28 \ 45A 45A 46A / \ 44A 44A 44A / 28.74/7.28 [0, 1, 1, 1] ->= [0, 0, 1, 0] 28.74/7.28 lhs rhs ge gt 28.74/7.28 / 21A 24A 24A \ / 21A 21A 24A \ True False 28.74/7.28 | 21A 21A 24A | | 18A 18A 21A | 28.74/7.28 \ 18A 21A 21A / \ 18A 18A 21A / 28.74/7.28 [1, 0, 1, 0] ->= [0, 1, 0, 0] 28.74/7.28 lhs rhs ge gt 28.74/7.28 / 21A 21A 21A \ / 21A 21A 21A \ True False 28.74/7.28 | 21A 21A 21A | | 21A 21A 21A | 28.74/7.28 \ 18A 18A 21A / \ 18A 18A 18A / 28.74/7.28 [1, 1, 0, 1] ->= [1, 0, 1, 0] 28.74/7.28 lhs rhs ge gt 28.74/7.28 / 21A 21A 24A \ / 21A 21A 21A \ True False 28.74/7.28 | 21A 21A 24A | | 21A 21A 21A | 28.74/7.28 \ 18A 21A 21A / \ 18A 18A 21A / 28.74/7.28 [0, 0, 0, 0] ->= [1, 0, 0, 0] 28.74/7.28 lhs rhs ge gt 28.74/7.28 / 24A 24A 24A \ / 21A 21A 21A \ True False 28.74/7.28 | 21A 21A 21A | | 21A 21A 21A | 28.74/7.28 \ 21A 21A 21A / \ 21A 21A 21A / 28.74/7.28 property Termination 28.74/7.28 has value True 28.74/7.28 for SRS ( [2, 1, 1, 1] |-> [2, 0, 1, 0], [3, 1, 0, 1] |-> [3, 0, 1, 0], [0, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 1, 0] ->= [0, 1, 0, 0], [1, 1, 0, 1] ->= [1, 0, 1, 0], [0, 0, 0, 0] ->= [1, 0, 0, 0]) 28.74/7.28 reason 28.74/7.28 EDG has 2 SCCs 28.74/7.28 property Termination 28.74/7.28 has value True 28.74/7.28 for SRS ( [2, 1, 1, 1] |-> [2, 0, 1, 0], [0, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 1, 0] ->= [0, 1, 0, 0], [1, 1, 0, 1] ->= [1, 0, 1, 0], [0, 0, 0, 0] ->= [1, 0, 0, 0]) 28.74/7.28 reason 28.74/7.28 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 28.74/7.28 interpretation 28.74/7.28 0 / 6A 6A 6A \ 28.74/7.28 | 3A 3A 6A | 28.74/7.28 \ 3A 3A 3A / 28.74/7.28 1 / 3A 6A 6A \ 28.74/7.28 | 3A 6A 6A | 28.74/7.28 \ 3A 6A 6A / 28.74/7.28 2 / 25A 25A 28A \ 28.74/7.28 | 25A 25A 28A | 28.74/7.28 \ 25A 25A 28A / 28.74/7.28 [2, 1, 1, 1] |-> [2, 0, 1, 0] 28.74/7.28 lhs rhs ge gt 28.74/7.28 / 43A 46A 46A \ / 40A 40A 43A \ True True 28.74/7.28 | 43A 46A 46A | | 40A 40A 43A | 28.74/7.28 \ 43A 46A 46A / \ 40A 40A 43A / 28.74/7.28 [0, 1, 1, 1] ->= [0, 0, 1, 0] 28.74/7.28 lhs rhs ge gt 28.74/7.28 / 21A 24A 24A \ / 21A 21A 24A \ True False 28.74/7.28 | 21A 24A 24A | | 18A 18A 21A | 28.74/7.28 \ 18A 21A 21A / \ 18A 18A 21A / 28.74/7.28 [1, 0, 1, 0] ->= [0, 1, 0, 0] 28.74/7.28 lhs rhs ge gt 28.74/7.28 / 21A 21A 24A \ / 21A 21A 21A \ True False 28.74/7.28 | 21A 21A 24A | | 21A 21A 21A | 28.74/7.28 \ 21A 21A 24A / \ 18A 18A 18A / 28.74/7.28 [1, 1, 0, 1] ->= [1, 0, 1, 0] 28.74/7.28 lhs rhs ge gt 28.74/7.28 / 21A 24A 24A \ / 21A 21A 24A \ True False 28.74/7.28 | 21A 24A 24A | | 21A 21A 24A | 28.74/7.28 \ 21A 24A 24A / \ 21A 21A 24A / 28.74/7.28 [0, 0, 0, 0] ->= [1, 0, 0, 0] 28.74/7.28 lhs rhs ge gt 28.74/7.28 / 24A 24A 24A \ / 21A 21A 21A \ True False 28.74/7.28 | 21A 21A 21A | | 21A 21A 21A | 28.74/7.28 \ 21A 21A 21A / \ 21A 21A 21A / 28.74/7.28 property Termination 28.74/7.28 has value True 28.74/7.28 for SRS ( [0, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 1, 0] ->= [0, 1, 0, 0], [1, 1, 0, 1] ->= [1, 0, 1, 0], [0, 0, 0, 0] ->= [1, 0, 0, 0]) 28.74/7.28 reason 28.74/7.28 EDG has 0 SCCs 28.74/7.28 28.74/7.28 property Termination 28.74/7.28 has value True 28.74/7.30 for SRS ( [3, 1, 0, 1] |-> [3, 0, 1, 0], [0, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 1, 0] ->= [0, 1, 0, 0], [1, 1, 0, 1] ->= [1, 0, 1, 0], [0, 0, 0, 0] ->= [1, 0, 0, 0]) 28.74/7.30 reason 28.74/7.30 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 28.74/7.30 interpretation 28.74/7.30 0 / 3A 6A 6A \ 28.74/7.30 | 3A 6A 6A | 28.74/7.30 \ 3A 3A 3A / 28.74/7.30 1 / 6A 6A 9A \ 28.74/7.30 | 3A 3A 6A | 28.74/7.30 \ 3A 3A 6A / 28.74/7.30 3 / 22A 24A 24A \ 28.74/7.30 | 22A 24A 24A | 28.74/7.30 \ 22A 24A 24A / 28.74/7.30 [3, 1, 0, 1] |-> [3, 0, 1, 0] 28.74/7.30 lhs rhs ge gt 28.74/7.30 / 40A 40A 43A \ / 39A 39A 39A \ True True 28.74/7.30 | 40A 40A 43A | | 39A 39A 39A | 28.74/7.30 \ 40A 40A 43A / \ 39A 39A 39A / 28.74/7.30 [0, 1, 1, 1] ->= [0, 0, 1, 0] 28.74/7.30 lhs rhs ge gt 28.74/7.30 / 21A 21A 24A \ / 21A 21A 21A \ True False 28.74/7.30 | 21A 21A 24A | | 21A 21A 21A | 28.74/7.30 \ 21A 21A 24A / \ 18A 18A 18A / 28.74/7.30 [1, 0, 1, 0] ->= [0, 1, 0, 0] 28.74/7.30 lhs rhs ge gt 28.74/7.30 / 24A 24A 24A \ / 18A 21A 21A \ True False 28.74/7.30 | 21A 21A 21A | | 18A 21A 21A | 28.74/7.30 \ 21A 21A 21A / \ 18A 21A 21A / 28.74/7.30 [1, 1, 0, 1] ->= [1, 0, 1, 0] 28.74/7.30 lhs rhs ge gt 28.74/7.30 / 24A 24A 27A \ / 24A 24A 24A \ True False 28.74/7.30 | 21A 21A 24A | | 21A 21A 21A | 28.74/7.30 \ 21A 21A 24A / \ 21A 21A 21A / 28.74/7.30 [0, 0, 0, 0] ->= [1, 0, 0, 0] 28.74/7.30 lhs rhs ge gt 28.74/7.30 / 21A 24A 24A \ / 21A 24A 24A \ True False 28.74/7.30 | 21A 24A 24A | | 18A 21A 21A | 28.74/7.30 \ 18A 21A 21A / \ 18A 21A 21A / 28.74/7.30 property Termination 28.74/7.30 has value True 28.74/7.30 for SRS ( [0, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 1, 0] ->= [0, 1, 0, 0], [1, 1, 0, 1] ->= [1, 0, 1, 0], [0, 0, 0, 0] ->= [1, 0, 0, 0]) 28.74/7.30 reason 28.74/7.30 EDG has 0 SCCs 28.74/7.30 28.74/7.30 ************************************************** 28.74/7.30 summary 28.74/7.30 ************************************************** 28.74/7.30 SRS with 4 rules on 2 letters Remap { tracing = False} 28.74/7.30 SRS with 4 rules on 2 letters DP transform 28.74/7.30 SRS with 16 rules on 4 letters Remap { tracing = False} 28.74/7.30 SRS with 16 rules on 4 letters weights 28.74/7.30 SRS with 8 rules on 4 letters EDG 28.74/7.30 SRS with 8 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 28.74/7.30 SRS with 6 rules on 4 letters EDG 28.74/7.30 2 sub-proofs 28.74/7.30 1 SRS with 5 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 28.74/7.30 SRS with 4 rules on 2 letters EDG 28.74/7.30 28.74/7.30 2 SRS with 5 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 28.74/7.30 SRS with 4 rules on 2 letters EDG 28.74/7.30 28.74/7.30 ************************************************** 28.74/7.31 (4, 2)\Deepee(16, 4)\Weight(8, 4)\Matrix{\Arctic}{3}(6, 4)\EDG[(5, 3)\Matrix{\Arctic}{3}(4, 2)\EDG[],(5, 3)\Matrix{\Arctic}{3}(4, 2)\EDG[]] 28.74/7.31 ************************************************** 28.74/7.35 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]} 28.74/7.35 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 29.16/7.43 EOF