29.13/7.41 YES 29.13/7.41 property Termination 29.13/7.41 has value True 29.13/7.41 for SRS ( [a, a, b, a] -> [a, b, b, b], [b, b, b] -> [b, a, a, a]) 29.13/7.41 reason 29.13/7.41 remap for 2 rules 29.13/7.41 property Termination 29.13/7.41 has value True 29.13/7.41 for SRS ( [0, 0, 1, 0] -> [0, 1, 1, 1], [1, 1, 1] -> [1, 0, 0, 0]) 29.13/7.41 reason 29.13/7.41 DP transform 29.13/7.41 property Termination 29.13/7.41 has value True 29.13/7.41 for SRS ( [0, 0, 1, 0] ->= [0, 1, 1, 1], [1, 1, 1] ->= [1, 0, 0, 0], [0#, 0, 1, 0] |-> [0#, 1, 1, 1], [0#, 0, 1, 0] |-> [1#, 1, 1], [0#, 0, 1, 0] |-> [1#, 1], [0#, 0, 1, 0] |-> [1#], [1#, 1, 1] |-> [1#, 0, 0, 0], [1#, 1, 1] |-> [0#, 0, 0], [1#, 1, 1] |-> [0#, 0], [1#, 1, 1] |-> [0#]) 29.13/7.41 reason 29.13/7.41 remap for 10 rules 29.13/7.41 property Termination 29.13/7.41 has value True 29.13/7.41 for SRS ( [0, 0, 1, 0] ->= [0, 1, 1, 1], [1, 1, 1] ->= [1, 0, 0, 0], [2, 0, 1, 0] |-> [2, 1, 1, 1], [2, 0, 1, 0] |-> [3, 1, 1], [2, 0, 1, 0] |-> [3, 1], [2, 0, 1, 0] |-> [3], [3, 1, 1] |-> [3, 0, 0, 0], [3, 1, 1] |-> [2, 0, 0], [3, 1, 1] |-> [2, 0], [3, 1, 1] |-> [2]) 29.13/7.41 reason 29.13/7.41 EDG has 1 SCCs 29.13/7.41 property Termination 29.13/7.41 has value True 29.13/7.42 for SRS ( [2, 0, 1, 0] |-> [2, 1, 1, 1], [2, 0, 1, 0] |-> [3], [3, 1, 1] |-> [2], [2, 0, 1, 0] |-> [3, 1], [3, 1, 1] |-> [2, 0], [2, 0, 1, 0] |-> [3, 1, 1], [3, 1, 1] |-> [2, 0, 0], [3, 1, 1] |-> [3, 0, 0, 0], [0, 0, 1, 0] ->= [0, 1, 1, 1], [1, 1, 1] ->= [1, 0, 0, 0]) 29.13/7.42 reason 29.13/7.44 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 29.13/7.44 interpretation 29.13/7.44 0 / 0A 0A \ 29.13/7.44 \ 0A 0A / 29.13/7.44 1 / 0A 0A \ 29.13/7.44 \ -2A -2A / 29.13/7.44 2 / 3A 5A \ 29.13/7.44 \ 3A 5A / 29.13/7.44 3 / 5A 5A \ 29.13/7.44 \ 5A 5A / 29.13/7.44 [2, 0, 1, 0] |-> [2, 1, 1, 1] 29.13/7.44 lhs rhs ge gt 29.13/7.44 / 5A 5A \ / 3A 3A \ True True 29.13/7.44 \ 5A 5A / \ 3A 3A / 29.13/7.44 [2, 0, 1, 0] |-> [3] 29.13/7.44 lhs rhs ge gt 29.13/7.44 / 5A 5A \ / 5A 5A \ True False 29.13/7.44 \ 5A 5A / \ 5A 5A / 29.13/7.44 [3, 1, 1] |-> [2] 29.13/7.44 lhs rhs ge gt 29.13/7.44 / 5A 5A \ / 3A 5A \ True False 29.13/7.44 \ 5A 5A / \ 3A 5A / 29.13/7.44 [2, 0, 1, 0] |-> [3, 1] 29.13/7.44 lhs rhs ge gt 29.13/7.44 / 5A 5A \ / 5A 5A \ True False 29.13/7.44 \ 5A 5A / \ 5A 5A / 29.13/7.44 [3, 1, 1] |-> [2, 0] 29.13/7.44 lhs rhs ge gt 29.13/7.44 / 5A 5A \ / 5A 5A \ True False 29.13/7.44 \ 5A 5A / \ 5A 5A / 29.13/7.44 [2, 0, 1, 0] |-> [3, 1, 1] 29.13/7.44 lhs rhs ge gt 29.13/7.44 / 5A 5A \ / 5A 5A \ True False 29.13/7.44 \ 5A 5A / \ 5A 5A / 29.13/7.44 [3, 1, 1] |-> [2, 0, 0] 29.13/7.44 lhs rhs ge gt 29.13/7.44 / 5A 5A \ / 5A 5A \ True False 29.13/7.44 \ 5A 5A / \ 5A 5A / 29.13/7.44 [3, 1, 1] |-> [3, 0, 0, 0] 29.13/7.44 lhs rhs ge gt 29.13/7.44 / 5A 5A \ / 5A 5A \ True False 29.13/7.44 \ 5A 5A / \ 5A 5A / 29.13/7.44 [0, 0, 1, 0] ->= [0, 1, 1, 1] 29.13/7.44 lhs rhs ge gt 29.13/7.44 / 0A 0A \ / 0A 0A \ True False 29.13/7.44 \ 0A 0A / \ 0A 0A / 29.13/7.44 [1, 1, 1] ->= [1, 0, 0, 0] 29.13/7.44 lhs rhs ge gt 29.13/7.44 / 0A 0A \ / 0A 0A \ True False 29.13/7.44 \ -2A -2A / \ -2A -2A / 29.13/7.44 property Termination 29.13/7.44 has value True 29.13/7.44 for SRS ( [2, 0, 1, 0] |-> [3], [3, 1, 1] |-> [2], [2, 0, 1, 0] |-> [3, 1], [3, 1, 1] |-> [2, 0], [2, 0, 1, 0] |-> [3, 1, 1], [3, 1, 1] |-> [2, 0, 0], [3, 1, 1] |-> [3, 0, 0, 0], [0, 0, 1, 0] ->= [0, 1, 1, 1], [1, 1, 1] ->= [1, 0, 0, 0]) 29.13/7.44 reason 29.13/7.44 EDG has 1 SCCs 29.13/7.44 property Termination 29.13/7.44 has value True 29.38/7.47 for SRS ( [2, 0, 1, 0] |-> [3], [3, 1, 1] |-> [3, 0, 0, 0], [3, 1, 1] |-> [2, 0, 0], [2, 0, 1, 0] |-> [3, 1, 1], [3, 1, 1] |-> [2, 0], [2, 0, 1, 0] |-> [3, 1], [3, 1, 1] |-> [2], [0, 0, 1, 0] ->= [0, 1, 1, 1], [1, 1, 1] ->= [1, 0, 0, 0]) 29.38/7.47 reason 29.44/7.48 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 29.44/7.48 interpretation 29.44/7.48 0 / 0A 0A \ 29.44/7.48 \ -2A -2A / 29.44/7.48 1 / 0A 0A \ 29.44/7.48 \ 0A 0A / 29.44/7.48 2 / 13A 13A \ 29.44/7.48 \ 13A 13A / 29.44/7.48 3 / 11A 13A \ 29.44/7.48 \ 11A 13A / 29.44/7.48 [2, 0, 1, 0] |-> [3] 29.44/7.48 lhs rhs ge gt 29.44/7.48 / 13A 13A \ / 11A 13A \ True False 29.44/7.48 \ 13A 13A / \ 11A 13A / 29.44/7.49 [3, 1, 1] |-> [3, 0, 0, 0] 29.44/7.49 lhs rhs ge gt 29.44/7.49 / 13A 13A \ / 11A 11A \ True True 29.44/7.49 \ 13A 13A / \ 11A 11A / 29.44/7.49 [3, 1, 1] |-> [2, 0, 0] 29.44/7.49 lhs rhs ge gt 29.44/7.49 / 13A 13A \ / 13A 13A \ True False 29.44/7.49 \ 13A 13A / \ 13A 13A / 29.44/7.49 [2, 0, 1, 0] |-> [3, 1, 1] 29.44/7.49 lhs rhs ge gt 29.44/7.49 / 13A 13A \ / 13A 13A \ True False 29.44/7.49 \ 13A 13A / \ 13A 13A / 29.44/7.49 [3, 1, 1] |-> [2, 0] 29.44/7.49 lhs rhs ge gt 29.44/7.49 / 13A 13A \ / 13A 13A \ True False 29.44/7.49 \ 13A 13A / \ 13A 13A / 29.44/7.49 [2, 0, 1, 0] |-> [3, 1] 29.44/7.49 lhs rhs ge gt 29.44/7.49 / 13A 13A \ / 13A 13A \ True False 29.44/7.49 \ 13A 13A / \ 13A 13A / 29.44/7.49 [3, 1, 1] |-> [2] 29.44/7.49 lhs rhs ge gt 29.44/7.49 / 13A 13A \ / 13A 13A \ True False 29.44/7.49 \ 13A 13A / \ 13A 13A / 29.44/7.49 [0, 0, 1, 0] ->= [0, 1, 1, 1] 29.44/7.49 lhs rhs ge gt 29.44/7.49 / 0A 0A \ / 0A 0A \ True False 29.44/7.49 \ -2A -2A / \ -2A -2A / 29.44/7.49 [1, 1, 1] ->= [1, 0, 0, 0] 29.44/7.49 lhs rhs ge gt 29.44/7.49 / 0A 0A \ / 0A 0A \ True False 29.44/7.49 \ 0A 0A / \ 0A 0A / 29.44/7.49 property Termination 29.44/7.49 has value True 29.44/7.49 for SRS ( [2, 0, 1, 0] |-> [3], [3, 1, 1] |-> [2, 0, 0], [2, 0, 1, 0] |-> [3, 1, 1], [3, 1, 1] |-> [2, 0], [2, 0, 1, 0] |-> [3, 1], [3, 1, 1] |-> [2], [0, 0, 1, 0] ->= [0, 1, 1, 1], [1, 1, 1] ->= [1, 0, 0, 0]) 29.44/7.49 reason 29.44/7.49 EDG has 1 SCCs 29.44/7.49 property Termination 29.44/7.49 has value True 29.44/7.49 for SRS ( [2, 0, 1, 0] |-> [3], [3, 1, 1] |-> [2], [2, 0, 1, 0] |-> [3, 1], [3, 1, 1] |-> [2, 0], [2, 0, 1, 0] |-> [3, 1, 1], [3, 1, 1] |-> [2, 0, 0], [0, 0, 1, 0] ->= [0, 1, 1, 1], [1, 1, 1] ->= [1, 0, 0, 0]) 29.44/7.49 reason 29.44/7.49 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 29.44/7.49 interpretation 29.44/7.49 0 / 0A 0A 0A \ 29.44/7.49 | 0A 0A 0A | 29.44/7.49 \ 0A 0A 0A / 29.44/7.49 1 / 0A 0A 3A \ 29.44/7.49 | 0A 0A 0A | 29.44/7.49 \ -3A 0A 0A / 29.44/7.49 2 / 3A 3A 6A \ 29.44/7.49 | 3A 3A 6A | 29.44/7.49 \ 3A 3A 6A / 29.44/7.49 3 / 6A 6A 9A \ 29.44/7.49 | 6A 6A 9A | 29.44/7.49 \ 6A 6A 9A / 29.44/7.49 [2, 0, 1, 0] |-> [3] 29.44/7.49 lhs rhs ge gt 29.44/7.49 / 9A 9A 9A \ / 6A 6A 9A \ True False 29.44/7.49 | 9A 9A 9A | | 6A 6A 9A | 29.44/7.49 \ 9A 9A 9A / \ 6A 6A 9A / 29.44/7.49 [3, 1, 1] |-> [2] 29.44/7.49 lhs rhs ge gt 29.44/7.49 / 9A 9A 9A \ / 3A 3A 6A \ True True 29.44/7.49 | 9A 9A 9A | | 3A 3A 6A | 29.44/7.49 \ 9A 9A 9A / \ 3A 3A 6A / 29.44/7.49 [2, 0, 1, 0] |-> [3, 1] 29.44/7.49 lhs rhs ge gt 29.44/7.49 / 9A 9A 9A \ / 6A 9A 9A \ True False 29.44/7.49 | 9A 9A 9A | | 6A 9A 9A | 29.44/7.49 \ 9A 9A 9A / \ 6A 9A 9A / 29.44/7.49 [3, 1, 1] |-> [2, 0] 29.44/7.49 lhs rhs ge gt 29.44/7.49 / 9A 9A 9A \ / 6A 6A 6A \ True True 29.44/7.49 | 9A 9A 9A | | 6A 6A 6A | 29.44/7.49 \ 9A 9A 9A / \ 6A 6A 6A / 29.44/7.49 [2, 0, 1, 0] |-> [3, 1, 1] 29.44/7.49 lhs rhs ge gt 29.44/7.49 / 9A 9A 9A \ / 9A 9A 9A \ True False 29.44/7.49 | 9A 9A 9A | | 9A 9A 9A | 29.44/7.49 \ 9A 9A 9A / \ 9A 9A 9A / 29.44/7.49 [3, 1, 1] |-> [2, 0, 0] 29.44/7.49 lhs rhs ge gt 29.44/7.49 / 9A 9A 9A \ / 6A 6A 6A \ True True 29.44/7.49 | 9A 9A 9A | | 6A 6A 6A | 29.44/7.49 \ 9A 9A 9A / \ 6A 6A 6A / 29.44/7.49 [0, 0, 1, 0] ->= [0, 1, 1, 1] 29.44/7.49 lhs rhs ge gt 29.44/7.49 / 3A 3A 3A \ / 3A 3A 3A \ True False 29.44/7.49 | 3A 3A 3A | | 3A 3A 3A | 29.44/7.49 \ 3A 3A 3A / \ 3A 3A 3A / 29.44/7.49 [1, 1, 1] ->= [1, 0, 0, 0] 29.44/7.49 lhs rhs ge gt 29.44/7.49 / 3A 3A 3A \ / 3A 3A 3A \ True False 29.44/7.49 | 0A 3A 3A | | 0A 0A 0A | 29.44/7.49 \ 0A 0A 3A / \ 0A 0A 0A / 29.44/7.49 property Termination 29.44/7.50 has value True 29.44/7.50 for SRS ( [2, 0, 1, 0] |-> [3], [2, 0, 1, 0] |-> [3, 1], [2, 0, 1, 0] |-> [3, 1, 1], [0, 0, 1, 0] ->= [0, 1, 1, 1], [1, 1, 1] ->= [1, 0, 0, 0]) 29.44/7.51 reason 29.44/7.51 weights 29.44/7.51 Map [(2, 3/1)] 29.44/7.51 29.44/7.51 property Termination 29.44/7.52 has value True 29.44/7.52 for SRS ( [0, 0, 1, 0] ->= [0, 1, 1, 1], [1, 1, 1] ->= [1, 0, 0, 0]) 29.44/7.52 reason 29.44/7.52 EDG has 0 SCCs 29.44/7.52 29.44/7.52 ************************************************** 29.44/7.52 summary 29.44/7.52 ************************************************** 29.44/7.52 SRS with 2 rules on 2 letters Remap { tracing = False} 29.44/7.52 SRS with 2 rules on 2 letters DP transform 29.44/7.52 SRS with 10 rules on 4 letters Remap { tracing = False} 29.44/7.52 SRS with 10 rules on 4 letters EDG 29.44/7.52 SRS with 10 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 29.44/7.52 SRS with 9 rules on 4 letters EDG 29.44/7.52 SRS with 9 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 29.44/7.52 SRS with 8 rules on 4 letters EDG 29.44/7.52 SRS with 8 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 29.44/7.52 SRS with 5 rules on 4 letters weights 29.44/7.52 SRS with 2 rules on 2 letters EDG 29.44/7.52 29.44/7.52 ************************************************** 29.44/7.52 (2, 2)\Deepee(10, 4)\Matrix{\Arctic}{2}(9, 4)\Matrix{\Arctic}{2}(8, 4)\Matrix{\Arctic}{3}(5, 4)\Weight(2, 2)\EDG[] 29.44/7.52 ************************************************** 31.22/7.92 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]} 31.22/7.93 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 31.29/8.02 EOF