61.14/15.48 YES 61.14/15.48 property Termination 61.14/15.48 has value True 61.14/15.49 for SRS ( [a, a, b, a] -> [a, a, a, b], [b, b, b, a] -> [a, a, a, b], [b, a, a, b] -> [b, b, b, a]) 61.14/15.49 reason 61.14/15.49 remap for 3 rules 61.14/15.49 property Termination 61.14/15.49 has value True 61.14/15.49 for SRS ( [0, 0, 1, 0] -> [0, 0, 0, 1], [1, 1, 1, 0] -> [0, 0, 0, 1], [1, 0, 0, 1] -> [1, 1, 1, 0]) 61.14/15.49 reason 61.14/15.49 DP transform 61.14/15.49 property Termination 61.14/15.49 has value True 61.14/15.49 for SRS ( [0, 0, 1, 0] ->= [0, 0, 0, 1], [1, 1, 1, 0] ->= [0, 0, 0, 1], [1, 0, 0, 1] ->= [1, 1, 1, 0], [0#, 0, 1, 0] |-> [0#, 0, 0, 1], [0#, 0, 1, 0] |-> [0#, 0, 1], [0#, 0, 1, 0] |-> [0#, 1], [0#, 0, 1, 0] |-> [1#], [1#, 1, 1, 0] |-> [0#, 0, 0, 1], [1#, 1, 1, 0] |-> [0#, 0, 1], [1#, 1, 1, 0] |-> [0#, 1], [1#, 1, 1, 0] |-> [1#], [1#, 0, 0, 1] |-> [1#, 1, 1, 0], [1#, 0, 0, 1] |-> [1#, 1, 0], [1#, 0, 0, 1] |-> [1#, 0], [1#, 0, 0, 1] |-> [0#]) 61.14/15.49 reason 61.14/15.49 remap for 15 rules 61.14/15.49 property Termination 61.14/15.49 has value True 61.14/15.49 for SRS ( [0, 0, 1, 0] ->= [0, 0, 0, 1], [1, 1, 1, 0] ->= [0, 0, 0, 1], [1, 0, 0, 1] ->= [1, 1, 1, 0], [2, 0, 1, 0] |-> [2, 0, 0, 1], [2, 0, 1, 0] |-> [2, 0, 1], [2, 0, 1, 0] |-> [2, 1], [2, 0, 1, 0] |-> [3], [3, 1, 1, 0] |-> [2, 0, 0, 1], [3, 1, 1, 0] |-> [2, 0, 1], [3, 1, 1, 0] |-> [2, 1], [3, 1, 1, 0] |-> [3], [3, 0, 0, 1] |-> [3, 1, 1, 0], [3, 0, 0, 1] |-> [3, 1, 0], [3, 0, 0, 1] |-> [3, 0], [3, 0, 0, 1] |-> [2]) 61.14/15.49 reason 61.14/15.49 weights 61.14/15.49 Map [(0, 2/1), (1, 2/1), (3, 1/1)] 61.14/15.49 61.14/15.49 property Termination 61.14/15.49 has value True 61.14/15.49 for SRS ( [0, 0, 1, 0] ->= [0, 0, 0, 1], [1, 1, 1, 0] ->= [0, 0, 0, 1], [1, 0, 0, 1] ->= [1, 1, 1, 0], [2, 0, 1, 0] |-> [2, 0, 0, 1], [3, 0, 0, 1] |-> [3, 1, 1, 0]) 61.14/15.49 reason 61.14/15.49 EDG has 2 SCCs 61.14/15.49 property Termination 61.14/15.49 has value True 61.14/15.49 for SRS ( [2, 0, 1, 0] |-> [2, 0, 0, 1], [0, 0, 1, 0] ->= [0, 0, 0, 1], [1, 1, 1, 0] ->= [0, 0, 0, 1], [1, 0, 0, 1] ->= [1, 1, 1, 0]) 61.14/15.49 reason 61.14/15.49 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 61.14/15.49 interpretation 61.14/15.49 0 / 0A 3A 3A \ 61.14/15.49 | 0A 0A 3A | 61.14/15.49 \ 0A 0A 3A / 61.14/15.49 1 / 3A 3A 6A \ 61.14/15.49 | 3A 3A 6A | 61.14/15.49 \ 0A 0A 3A / 61.14/15.49 2 / 1A 1A 3A \ 61.14/15.49 | 1A 1A 3A | 61.14/15.49 \ 1A 1A 3A / 61.14/15.49 [2, 0, 1, 0] |-> [2, 0, 0, 1] 61.14/15.49 lhs rhs ge gt 61.14/15.49 / 10A 10A 13A \ / 9A 9A 12A \ True True 61.14/15.49 | 10A 10A 13A | | 9A 9A 12A | 61.14/15.49 \ 10A 10A 13A / \ 9A 9A 12A / 61.14/15.49 [0, 0, 1, 0] ->= [0, 0, 0, 1] 61.14/15.49 lhs rhs ge gt 61.14/15.49 / 9A 9A 12A \ / 9A 9A 12A \ True False 61.14/15.49 | 9A 9A 12A | | 9A 9A 12A | 61.14/15.49 \ 9A 9A 12A / \ 9A 9A 12A / 61.14/15.49 [1, 1, 1, 0] ->= [0, 0, 0, 1] 61.14/15.49 lhs rhs ge gt 61.14/15.49 / 12A 12A 15A \ / 9A 9A 12A \ True False 61.14/15.49 | 12A 12A 15A | | 9A 9A 12A | 61.14/15.49 \ 9A 9A 12A / \ 9A 9A 12A / 61.14/15.49 [1, 0, 0, 1] ->= [1, 1, 1, 0] 61.14/15.49 lhs rhs ge gt 61.14/15.49 / 12A 12A 15A \ / 12A 12A 15A \ True False 61.14/15.49 | 12A 12A 15A | | 12A 12A 15A | 61.14/15.49 \ 9A 9A 12A / \ 9A 9A 12A / 61.14/15.49 property Termination 61.14/15.49 has value True 61.14/15.49 for SRS ( [0, 0, 1, 0] ->= [0, 0, 0, 1], [1, 1, 1, 0] ->= [0, 0, 0, 1], [1, 0, 0, 1] ->= [1, 1, 1, 0]) 61.14/15.49 reason 61.14/15.49 EDG has 0 SCCs 61.14/15.49 61.14/15.49 property Termination 61.14/15.49 has value True 61.14/15.49 for SRS ( [3, 0, 0, 1] |-> [3, 1, 1, 0], [0, 0, 1, 0] ->= [0, 0, 0, 1], [1, 1, 1, 0] ->= [0, 0, 0, 1], [1, 0, 0, 1] ->= [1, 1, 1, 0]) 61.14/15.49 reason 61.14/15.49 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 61.14/15.49 interpretation 61.14/15.49 0 Wk / - 1A 2A 2A \ 61.14/15.49 | - - 3A 1A | 61.14/15.49 | - - - 0A | 61.14/15.49 \ - - - 0A / 61.14/15.50 1 Wk / 0A 1A - - \ 61.14/15.50 | 0A 0A 0A - | 61.14/15.50 | 1A 1A 1A 0A | 61.14/15.50 \ - - - 0A / 61.14/15.50 3 Wk / 0A 0A - 1A \ 61.14/15.50 | - - - - | 61.14/15.50 | - - - - | 61.14/15.50 \ - - - 0A / 61.14/15.50 [3, 0, 0, 1] |-> [3, 1, 1, 0] 61.14/15.50 lhs rhs ge gt 61.14/15.50 Wk / 5A 5A 5A 4A \ Wk / - 2A 4A 3A \ True True 61.14/15.50 | - - - - | | - - - - | 61.14/15.50 | - - - - | | - - - - | 61.14/15.50 \ - - - 0A / \ - - - 0A / 61.14/15.50 [0, 0, 1, 0] ->= [0, 0, 0, 1] 61.14/15.50 lhs rhs ge gt 61.14/15.50 Wk / - 6A 8A 7A \ Wk / - - - 4A \ True False 61.14/15.50 | - - - 3A | | - - - 3A | 61.14/15.50 | - - - 0A | | - - - 0A | 61.14/15.50 \ - - - 0A / \ - - - 0A / 61.14/15.50 [1, 1, 1, 0] ->= [0, 0, 0, 1] 61.14/15.50 lhs rhs ge gt 61.14/15.50 Wk / - 3A 5A 4A \ Wk / - - - 4A \ True False 61.14/15.50 | - 3A 5A 4A | | - - - 3A | 61.14/15.50 | - 4A 6A 5A | | - - - 0A | 61.14/15.50 \ - - - 0A / \ - - - 0A / 61.14/15.50 [1, 0, 0, 1] ->= [1, 1, 1, 0] 61.14/15.50 lhs rhs ge gt 61.14/15.50 Wk / 5A 5A 5A 4A \ Wk / - 3A 5A 4A \ True False 61.14/15.50 | 5A 5A 5A 4A | | - 3A 5A 4A | 61.14/15.50 | 6A 6A 6A 5A | | - 4A 6A 5A | 61.14/15.50 \ - - - 0A / \ - - - 0A / 61.14/15.50 property Termination 61.14/15.50 has value True 61.14/15.50 for SRS ( [0, 0, 1, 0] ->= [0, 0, 0, 1], [1, 1, 1, 0] ->= [0, 0, 0, 1], [1, 0, 0, 1] ->= [1, 1, 1, 0]) 61.14/15.50 reason 61.14/15.50 EDG has 0 SCCs 61.14/15.50 61.14/15.50 ************************************************** 61.14/15.50 summary 61.14/15.50 ************************************************** 61.14/15.50 SRS with 3 rules on 2 letters Remap { tracing = False} 61.14/15.50 SRS with 3 rules on 2 letters DP transform 61.14/15.50 SRS with 15 rules on 4 letters Remap { tracing = False} 61.14/15.50 SRS with 15 rules on 4 letters weights 61.14/15.50 SRS with 5 rules on 4 letters EDG 61.14/15.50 2 sub-proofs 61.14/15.50 1 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 61.14/15.50 SRS with 3 rules on 2 letters EDG 61.14/15.50 61.14/15.50 2 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 61.14/15.50 SRS with 3 rules on 2 letters EDG 61.14/15.50 61.14/15.50 ************************************************** 61.14/15.50 (3, 2)\Deepee(15, 4)\Weight(5, 4)\EDG[(4, 3)\Matrix{\Arctic}{3}(3, 2)\EDG[],(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[]] 61.14/15.50 ************************************************** 61.49/15.52 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]} 61.49/15.52 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 61.98/15.69 EOF