28.88/7.30 YES 28.88/7.30 property Termination 28.88/7.30 has value True 28.88/7.30 for SRS ( [a, b, b, b] -> [b, b, b, b], [b, b, b, a] -> [b, a, b, a], [b, b, a, a] -> [b, a, b, a], [a, a, a, b] -> [a, b, a, a]) 28.88/7.30 reason 28.88/7.30 remap for 4 rules 28.88/7.30 property Termination 28.88/7.30 has value True 28.88/7.30 for SRS ( [0, 1, 1, 1] -> [1, 1, 1, 1], [1, 1, 1, 0] -> [1, 0, 1, 0], [1, 1, 0, 0] -> [1, 0, 1, 0], [0, 0, 0, 1] -> [0, 1, 0, 0]) 28.88/7.30 reason 28.88/7.30 DP transform 28.88/7.30 property Termination 28.88/7.30 has value True 28.88/7.30 for SRS ( [0, 1, 1, 1] ->= [1, 1, 1, 1], [1, 1, 1, 0] ->= [1, 0, 1, 0], [1, 1, 0, 0] ->= [1, 0, 1, 0], [0, 0, 0, 1] ->= [0, 1, 0, 0], [0#, 1, 1, 1] |-> [1#, 1, 1, 1], [1#, 1, 1, 0] |-> [1#, 0, 1, 0], [1#, 1, 1, 0] |-> [0#, 1, 0], [1#, 1, 0, 0] |-> [1#, 0, 1, 0], [1#, 1, 0, 0] |-> [0#, 1, 0], [1#, 1, 0, 0] |-> [1#, 0], [0#, 0, 0, 1] |-> [0#, 1, 0, 0], [0#, 0, 0, 1] |-> [1#, 0, 0], [0#, 0, 0, 1] |-> [0#, 0], [0#, 0, 0, 1] |-> [0#]) 28.88/7.30 reason 28.88/7.30 remap for 14 rules 28.88/7.30 property Termination 28.88/7.30 has value True 28.91/7.30 for SRS ( [0, 1, 1, 1] ->= [1, 1, 1, 1], [1, 1, 1, 0] ->= [1, 0, 1, 0], [1, 1, 0, 0] ->= [1, 0, 1, 0], [0, 0, 0, 1] ->= [0, 1, 0, 0], [2, 1, 1, 1] |-> [3, 1, 1, 1], [3, 1, 1, 0] |-> [3, 0, 1, 0], [3, 1, 1, 0] |-> [2, 1, 0], [3, 1, 0, 0] |-> [3, 0, 1, 0], [3, 1, 0, 0] |-> [2, 1, 0], [3, 1, 0, 0] |-> [3, 0], [2, 0, 0, 1] |-> [2, 1, 0, 0], [2, 0, 0, 1] |-> [3, 0, 0], [2, 0, 0, 1] |-> [2, 0], [2, 0, 0, 1] |-> [2]) 28.91/7.30 reason 28.91/7.30 weights 28.91/7.30 Map [(0, 2/1), (1, 2/1), (2, 1/1)] 28.91/7.30 28.91/7.30 property Termination 28.91/7.30 has value True 28.91/7.30 for SRS ( [0, 1, 1, 1] ->= [1, 1, 1, 1], [1, 1, 1, 0] ->= [1, 0, 1, 0], [1, 1, 0, 0] ->= [1, 0, 1, 0], [0, 0, 0, 1] ->= [0, 1, 0, 0], [3, 1, 1, 0] |-> [3, 0, 1, 0], [3, 1, 0, 0] |-> [3, 0, 1, 0], [2, 0, 0, 1] |-> [2, 1, 0, 0]) 28.91/7.30 reason 28.91/7.30 EDG has 2 SCCs 28.91/7.30 property Termination 28.91/7.30 has value True 28.93/7.31 for SRS ( [2, 0, 0, 1] |-> [2, 1, 0, 0], [0, 1, 1, 1] ->= [1, 1, 1, 1], [1, 1, 1, 0] ->= [1, 0, 1, 0], [1, 1, 0, 0] ->= [1, 0, 1, 0], [0, 0, 0, 1] ->= [0, 1, 0, 0]) 28.93/7.32 reason 28.93/7.32 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 28.93/7.32 interpretation 28.93/7.32 0 / 2A 2A \ 28.93/7.32 \ 2A 2A / 28.93/7.32 1 / 2A 2A \ 28.93/7.32 \ 0A 0A / 28.93/7.32 2 / 7A 8A \ 28.93/7.32 \ 7A 8A / 28.93/7.32 [2, 0, 0, 1] |-> [2, 1, 0, 0] 28.93/7.32 lhs rhs ge gt 28.93/7.32 / 14A 14A \ / 13A 13A \ True True 28.93/7.32 \ 14A 14A / \ 13A 13A / 28.93/7.32 [0, 1, 1, 1] ->= [1, 1, 1, 1] 28.93/7.32 lhs rhs ge gt 28.93/7.32 / 8A 8A \ / 8A 8A \ True False 28.93/7.32 \ 8A 8A / \ 6A 6A / 28.93/7.32 [1, 1, 1, 0] ->= [1, 0, 1, 0] 28.93/7.32 lhs rhs ge gt 28.93/7.32 / 8A 8A \ / 8A 8A \ True False 28.93/7.32 \ 6A 6A / \ 6A 6A / 28.93/7.32 [1, 1, 0, 0] ->= [1, 0, 1, 0] 28.93/7.32 lhs rhs ge gt 28.93/7.32 / 8A 8A \ / 8A 8A \ True False 28.93/7.32 \ 6A 6A / \ 6A 6A / 28.93/7.32 [0, 0, 0, 1] ->= [0, 1, 0, 0] 28.93/7.32 lhs rhs ge gt 28.93/7.32 / 8A 8A \ / 8A 8A \ True False 28.93/7.32 \ 8A 8A / \ 8A 8A / 28.93/7.32 property Termination 28.93/7.32 has value True 28.93/7.32 for SRS ( [0, 1, 1, 1] ->= [1, 1, 1, 1], [1, 1, 1, 0] ->= [1, 0, 1, 0], [1, 1, 0, 0] ->= [1, 0, 1, 0], [0, 0, 0, 1] ->= [0, 1, 0, 0]) 28.93/7.32 reason 28.93/7.32 EDG has 0 SCCs 28.93/7.32 28.93/7.32 property Termination 28.93/7.32 has value True 28.93/7.32 for SRS ( [3, 1, 1, 0] |-> [3, 0, 1, 0], [3, 1, 0, 0] |-> [3, 0, 1, 0], [0, 1, 1, 1] ->= [1, 1, 1, 1], [1, 1, 1, 0] ->= [1, 0, 1, 0], [1, 1, 0, 0] ->= [1, 0, 1, 0], [0, 0, 0, 1] ->= [0, 1, 0, 0]) 28.93/7.32 reason 28.93/7.32 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 28.93/7.32 interpretation 28.93/7.32 0 / 2A 2A \ 28.93/7.32 \ 0A 0A / 28.93/7.32 1 / 0A 2A \ 28.93/7.32 \ 0A 0A / 28.93/7.32 3 / 13A 15A \ 28.93/7.32 \ 13A 15A / 28.93/7.32 [3, 1, 1, 0] |-> [3, 0, 1, 0] 28.93/7.32 lhs rhs ge gt 28.93/7.32 / 17A 17A \ / 17A 17A \ True False 28.93/7.32 \ 17A 17A / \ 17A 17A / 28.93/7.32 [3, 1, 0, 0] |-> [3, 0, 1, 0] 28.93/7.32 lhs rhs ge gt 28.93/7.32 / 19A 19A \ / 17A 17A \ True True 28.93/7.32 \ 19A 19A / \ 17A 17A / 28.93/7.32 [0, 1, 1, 1] ->= [1, 1, 1, 1] 28.93/7.32 lhs rhs ge gt 28.93/7.32 / 4A 6A \ / 4A 4A \ True False 28.93/7.32 \ 2A 4A / \ 2A 4A / 28.93/7.32 [1, 1, 1, 0] ->= [1, 0, 1, 0] 28.93/7.32 lhs rhs ge gt 28.93/7.32 / 4A 4A \ / 4A 4A \ True False 28.93/7.32 \ 4A 4A / \ 4A 4A / 28.93/7.32 [1, 1, 0, 0] ->= [1, 0, 1, 0] 28.93/7.32 lhs rhs ge gt 28.93/7.32 / 6A 6A \ / 4A 4A \ True False 28.93/7.32 \ 4A 4A / \ 4A 4A / 28.93/7.32 [0, 0, 0, 1] ->= [0, 1, 0, 0] 28.93/7.32 lhs rhs ge gt 28.93/7.32 / 6A 8A \ / 6A 6A \ True False 28.93/7.32 \ 4A 6A / \ 4A 4A / 28.93/7.32 property Termination 28.93/7.32 has value True 28.93/7.32 for SRS ( [3, 1, 1, 0] |-> [3, 0, 1, 0], [0, 1, 1, 1] ->= [1, 1, 1, 1], [1, 1, 1, 0] ->= [1, 0, 1, 0], [1, 1, 0, 0] ->= [1, 0, 1, 0], [0, 0, 0, 1] ->= [0, 1, 0, 0]) 28.93/7.32 reason 28.93/7.32 EDG has 1 SCCs 28.93/7.32 property Termination 28.93/7.32 has value True 28.93/7.33 for SRS ( [3, 1, 1, 0] |-> [3, 0, 1, 0], [0, 1, 1, 1] ->= [1, 1, 1, 1], [1, 1, 1, 0] ->= [1, 0, 1, 0], [1, 1, 0, 0] ->= [1, 0, 1, 0], [0, 0, 0, 1] ->= [0, 1, 0, 0]) 28.93/7.33 reason 28.93/7.33 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 28.93/7.33 interpretation 28.93/7.33 0 / 6A 6A 9A \ 28.93/7.33 | 3A 3A 6A | 28.93/7.33 \ 3A 3A 6A / 28.93/7.33 1 / 6A 6A 6A \ 28.93/7.33 | 6A 6A 6A | 28.93/7.33 \ 3A 6A 6A / 28.93/7.33 3 / 1A 1A 2A \ 28.93/7.33 | 1A 1A 2A | 28.93/7.33 \ 1A 1A 2A / 28.93/7.33 [3, 1, 1, 0] |-> [3, 0, 1, 0] 28.93/7.33 lhs rhs ge gt 28.93/7.34 / 20A 20A 23A \ / 19A 19A 22A \ True True 28.93/7.34 | 20A 20A 23A | | 19A 19A 22A | 28.93/7.34 \ 20A 20A 23A / \ 19A 19A 22A / 28.93/7.34 [0, 1, 1, 1] ->= [1, 1, 1, 1] 28.93/7.34 lhs rhs ge gt 28.93/7.34 / 27A 27A 27A \ / 24A 24A 24A \ True False 28.93/7.34 | 24A 24A 24A | | 24A 24A 24A | 28.93/7.34 \ 24A 24A 24A / \ 24A 24A 24A / 28.93/7.34 [1, 1, 1, 0] ->= [1, 0, 1, 0] 28.93/7.34 lhs rhs ge gt 28.93/7.34 / 24A 24A 27A \ / 24A 24A 27A \ True False 28.93/7.34 | 24A 24A 27A | | 24A 24A 27A | 28.93/7.34 \ 24A 24A 27A / \ 21A 21A 24A / 28.93/7.34 [1, 1, 0, 0] ->= [1, 0, 1, 0] 28.93/7.34 lhs rhs ge gt 28.93/7.34 / 24A 24A 27A \ / 24A 24A 27A \ True False 28.93/7.34 | 24A 24A 27A | | 24A 24A 27A | 28.93/7.34 \ 24A 24A 27A / \ 21A 21A 24A / 28.93/7.34 [0, 0, 0, 1] ->= [0, 1, 0, 0] 28.93/7.34 lhs rhs ge gt 28.93/7.34 / 24A 27A 27A \ / 24A 24A 27A \ True False 28.93/7.34 | 21A 24A 24A | | 21A 21A 24A | 28.93/7.34 \ 21A 24A 24A / \ 21A 21A 24A / 28.93/7.34 property Termination 28.93/7.34 has value True 28.93/7.36 for SRS ( [0, 1, 1, 1] ->= [1, 1, 1, 1], [1, 1, 1, 0] ->= [1, 0, 1, 0], [1, 1, 0, 0] ->= [1, 0, 1, 0], [0, 0, 0, 1] ->= [0, 1, 0, 0]) 28.93/7.36 reason 28.93/7.36 EDG has 0 SCCs 28.93/7.36 28.93/7.36 ************************************************** 28.93/7.36 summary 28.93/7.36 ************************************************** 28.93/7.36 SRS with 4 rules on 2 letters Remap { tracing = False} 28.93/7.36 SRS with 4 rules on 2 letters DP transform 28.93/7.36 SRS with 14 rules on 4 letters Remap { tracing = False} 28.93/7.36 SRS with 14 rules on 4 letters weights 28.93/7.36 SRS with 7 rules on 4 letters EDG 28.93/7.36 2 sub-proofs 28.93/7.37 1 SRS with 5 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 28.93/7.37 SRS with 4 rules on 2 letters EDG 28.93/7.37 28.93/7.37 2 SRS with 6 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 28.93/7.37 SRS with 5 rules on 3 letters EDG 28.93/7.37 SRS with 5 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 28.93/7.37 SRS with 4 rules on 2 letters EDG 28.93/7.37 28.93/7.37 ************************************************** 28.93/7.38 (4, 2)\Deepee(14, 4)\Weight(7, 4)\EDG[(5, 3)\Matrix{\Arctic}{2}(4, 2)\EDG[],(6, 3)\Matrix{\Arctic}{2}(5, 3)\Matrix{\Arctic}{3}(4, 2)\EDG[]] 28.93/7.38 ************************************************** 29.31/7.41 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]} 29.31/7.41 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 29.59/7.55 EOF