36.95/9.39 YES 36.95/9.40 property Termination 37.16/9.40 has value True 37.16/9.40 for SRS ( [b, b] -> [b, a, b], [b, b, a, b] -> [b, a, b, a, a, b, b], [b, a, b] -> [b, a, a, b], [b, a, a, b, a, b] -> [b, b]) 37.16/9.40 reason 37.16/9.40 remap for 4 rules 37.16/9.40 property Termination 37.16/9.40 has value True 37.16/9.40 for SRS ( [0, 0] -> [0, 1, 0], [0, 0, 1, 0] -> [0, 1, 0, 1, 1, 0, 0], [0, 1, 0] -> [0, 1, 1, 0], [0, 1, 1, 0, 1, 0] -> [0, 0]) 37.16/9.40 reason 37.16/9.40 DP transform 37.16/9.40 property Termination 37.16/9.40 has value True 37.16/9.40 for SRS ( [0, 0] ->= [0, 1, 0], [0, 0, 1, 0] ->= [0, 1, 0, 1, 1, 0, 0], [0, 1, 0] ->= [0, 1, 1, 0], [0, 1, 1, 0, 1, 0] ->= [0, 0], [0#, 0] |-> [0#, 1, 0], [0#, 0, 1, 0] |-> [0#, 1, 0, 1, 1, 0, 0], [0#, 0, 1, 0] |-> [0#, 1, 1, 0, 0], [0#, 0, 1, 0] |-> [0#, 0], [0#, 1, 0] |-> [0#, 1, 1, 0], [0#, 1, 1, 0, 1, 0] |-> [0#, 0]) 37.16/9.40 reason 37.16/9.40 remap for 10 rules 37.16/9.40 property Termination 37.16/9.40 has value True 37.16/9.40 for SRS ( [0, 0] ->= [0, 1, 0], [0, 0, 1, 0] ->= [0, 1, 0, 1, 1, 0, 0], [0, 1, 0] ->= [0, 1, 1, 0], [0, 1, 1, 0, 1, 0] ->= [0, 0], [2, 0] |-> [2, 1, 0], [2, 0, 1, 0] |-> [2, 1, 0, 1, 1, 0, 0], [2, 0, 1, 0] |-> [2, 1, 1, 0, 0], [2, 0, 1, 0] |-> [2, 0], [2, 1, 0] |-> [2, 1, 1, 0], [2, 1, 1, 0, 1, 0] |-> [2, 0]) 37.16/9.40 reason 37.16/9.40 EDG has 1 SCCs 37.16/9.40 property Termination 37.16/9.40 has value True 37.16/9.41 for SRS ( [2, 0] |-> [2, 1, 0], [2, 1, 1, 0, 1, 0] |-> [2, 0], [2, 1, 0] |-> [2, 1, 1, 0], [2, 0, 1, 0] |-> [2, 0], [2, 0, 1, 0] |-> [2, 1, 1, 0, 0], [2, 0, 1, 0] |-> [2, 1, 0, 1, 1, 0, 0], [0, 0] ->= [0, 1, 0], [0, 0, 1, 0] ->= [0, 1, 0, 1, 1, 0, 0], [0, 1, 0] ->= [0, 1, 1, 0], [0, 1, 1, 0, 1, 0] ->= [0, 0]) 37.16/9.41 reason 37.16/9.41 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 37.16/9.41 interpretation 37.16/9.41 0 / 0A 3A 3A \ 37.16/9.41 | 0A 3A 3A | 37.16/9.41 \ 0A 3A 3A / 37.16/9.41 1 / 0A 0A 0A \ 37.16/9.41 | -3A -3A 0A | 37.16/9.41 \ -3A -3A -3A / 37.16/9.41 2 / 16A 19A 19A \ 37.16/9.41 | 16A 19A 19A | 37.16/9.41 \ 16A 19A 19A / 37.16/9.41 [2, 0] |-> [2, 1, 0] 37.16/9.41 lhs rhs ge gt 37.16/9.41 / 19A 22A 22A \ / 19A 22A 22A \ True False 37.16/9.42 | 19A 22A 22A | | 19A 22A 22A | 37.16/9.42 \ 19A 22A 22A / \ 19A 22A 22A / 37.16/9.42 [2, 1, 1, 0, 1, 0] |-> [2, 0] 37.16/9.42 lhs rhs ge gt 37.16/9.42 / 19A 22A 22A \ / 19A 22A 22A \ True False 37.16/9.42 | 19A 22A 22A | | 19A 22A 22A | 37.16/9.42 \ 19A 22A 22A / \ 19A 22A 22A / 37.16/9.42 [2, 1, 0] |-> [2, 1, 1, 0] 37.16/9.42 lhs rhs ge gt 37.16/9.42 / 19A 22A 22A \ / 16A 19A 19A \ True True 37.16/9.42 | 19A 22A 22A | | 16A 19A 19A | 37.16/9.42 \ 19A 22A 22A / \ 16A 19A 19A / 37.16/9.42 [2, 0, 1, 0] |-> [2, 0] 37.16/9.42 lhs rhs ge gt 37.16/9.42 / 22A 25A 25A \ / 19A 22A 22A \ True True 37.16/9.42 | 22A 25A 25A | | 19A 22A 22A | 37.16/9.42 \ 22A 25A 25A / \ 19A 22A 22A / 37.16/9.42 [2, 0, 1, 0] |-> [2, 1, 1, 0, 0] 37.16/9.42 lhs rhs ge gt 37.16/9.42 / 22A 25A 25A \ / 19A 22A 22A \ True True 37.16/9.42 | 22A 25A 25A | | 19A 22A 22A | 37.16/9.42 \ 22A 25A 25A / \ 19A 22A 22A / 37.16/9.42 [2, 0, 1, 0] |-> [2, 1, 0, 1, 1, 0, 0] 37.16/9.42 lhs rhs ge gt 37.16/9.42 / 22A 25A 25A \ / 22A 25A 25A \ True False 37.16/9.42 | 22A 25A 25A | | 22A 25A 25A | 37.16/9.42 \ 22A 25A 25A / \ 22A 25A 25A / 37.16/9.42 [0, 0] ->= [0, 1, 0] 37.16/9.42 lhs rhs ge gt 37.16/9.42 / 3A 6A 6A \ / 3A 6A 6A \ True False 37.16/9.42 | 3A 6A 6A | | 3A 6A 6A | 37.16/9.42 \ 3A 6A 6A / \ 3A 6A 6A / 37.16/9.42 [0, 0, 1, 0] ->= [0, 1, 0, 1, 1, 0, 0] 37.16/9.42 lhs rhs ge gt 37.16/9.42 / 6A 9A 9A \ / 6A 9A 9A \ True False 37.16/9.42 | 6A 9A 9A | | 6A 9A 9A | 37.16/9.42 \ 6A 9A 9A / \ 6A 9A 9A / 37.16/9.42 [0, 1, 0] ->= [0, 1, 1, 0] 37.16/9.42 lhs rhs ge gt 37.16/9.42 / 3A 6A 6A \ / 0A 3A 3A \ True True 37.16/9.42 | 3A 6A 6A | | 0A 3A 3A | 37.16/9.42 \ 3A 6A 6A / \ 0A 3A 3A / 37.16/9.42 [0, 1, 1, 0, 1, 0] ->= [0, 0] 37.16/9.42 lhs rhs ge gt 37.16/9.42 / 3A 6A 6A \ / 3A 6A 6A \ True False 37.16/9.42 | 3A 6A 6A | | 3A 6A 6A | 37.16/9.42 \ 3A 6A 6A / \ 3A 6A 6A / 37.16/9.42 property Termination 37.16/9.42 has value True 37.16/9.43 for SRS ( [2, 0] |-> [2, 1, 0], [2, 1, 1, 0, 1, 0] |-> [2, 0], [2, 0, 1, 0] |-> [2, 1, 0, 1, 1, 0, 0], [0, 0] ->= [0, 1, 0], [0, 0, 1, 0] ->= [0, 1, 0, 1, 1, 0, 0], [0, 1, 0] ->= [0, 1, 1, 0], [0, 1, 1, 0, 1, 0] ->= [0, 0]) 37.16/9.43 reason 37.16/9.43 EDG has 1 SCCs 37.16/9.43 property Termination 37.16/9.43 has value True 37.16/9.44 for SRS ( [2, 0] |-> [2, 1, 0], [2, 1, 1, 0, 1, 0] |-> [2, 0], [2, 0, 1, 0] |-> [2, 1, 0, 1, 1, 0, 0], [0, 0] ->= [0, 1, 0], [0, 0, 1, 0] ->= [0, 1, 0, 1, 1, 0, 0], [0, 1, 0] ->= [0, 1, 1, 0], [0, 1, 1, 0, 1, 0] ->= [0, 0]) 37.16/9.44 reason 37.16/9.45 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 37.16/9.45 interpretation 37.16/9.45 0 / 0A 3A 3A \ 37.16/9.45 | 0A 3A 3A | 37.16/9.45 \ 0A 3A 3A / 37.16/9.45 1 / 0A 0A 0A \ 37.16/9.45 | -3A -3A 0A | 37.16/9.45 \ -3A -3A -3A / 37.16/9.45 2 / 19A 19A 19A \ 37.16/9.45 | 19A 19A 19A | 37.16/9.45 \ 19A 19A 19A / 37.16/9.45 [2, 0] |-> [2, 1, 0] 37.16/9.45 lhs rhs ge gt 37.16/9.45 / 19A 22A 22A \ / 19A 22A 22A \ True False 37.16/9.45 | 19A 22A 22A | | 19A 22A 22A | 37.16/9.45 \ 19A 22A 22A / \ 19A 22A 22A / 37.16/9.45 [2, 1, 1, 0, 1, 0] |-> [2, 0] 37.16/9.45 lhs rhs ge gt 37.16/9.45 / 22A 25A 25A \ / 19A 22A 22A \ True True 37.16/9.45 | 22A 25A 25A | | 19A 22A 22A | 37.16/9.45 \ 22A 25A 25A / \ 19A 22A 22A / 37.16/9.45 [2, 0, 1, 0] |-> [2, 1, 0, 1, 1, 0, 0] 37.16/9.45 lhs rhs ge gt 37.16/9.45 / 22A 25A 25A \ / 22A 25A 25A \ True False 37.16/9.45 | 22A 25A 25A | | 22A 25A 25A | 37.16/9.45 \ 22A 25A 25A / \ 22A 25A 25A / 37.16/9.45 [0, 0] ->= [0, 1, 0] 37.16/9.45 lhs rhs ge gt 37.16/9.45 / 3A 6A 6A \ / 3A 6A 6A \ True False 37.16/9.45 | 3A 6A 6A | | 3A 6A 6A | 37.16/9.45 \ 3A 6A 6A / \ 3A 6A 6A / 37.16/9.45 [0, 0, 1, 0] ->= [0, 1, 0, 1, 1, 0, 0] 37.16/9.45 lhs rhs ge gt 37.16/9.45 / 6A 9A 9A \ / 6A 9A 9A \ True False 37.16/9.45 | 6A 9A 9A | | 6A 9A 9A | 37.16/9.45 \ 6A 9A 9A / \ 6A 9A 9A / 37.16/9.45 [0, 1, 0] ->= [0, 1, 1, 0] 37.16/9.45 lhs rhs ge gt 37.16/9.45 / 3A 6A 6A \ / 0A 3A 3A \ True True 37.16/9.45 | 3A 6A 6A | | 0A 3A 3A | 37.16/9.45 \ 3A 6A 6A / \ 0A 3A 3A / 37.16/9.45 [0, 1, 1, 0, 1, 0] ->= [0, 0] 37.16/9.45 lhs rhs ge gt 37.16/9.45 / 3A 6A 6A \ / 3A 6A 6A \ True False 37.16/9.45 | 3A 6A 6A | | 3A 6A 6A | 37.16/9.45 \ 3A 6A 6A / \ 3A 6A 6A / 37.16/9.45 property Termination 37.16/9.45 has value True 37.34/9.45 for SRS ( [2, 0] |-> [2, 1, 0], [2, 0, 1, 0] |-> [2, 1, 0, 1, 1, 0, 0], [0, 0] ->= [0, 1, 0], [0, 0, 1, 0] ->= [0, 1, 0, 1, 1, 0, 0], [0, 1, 0] ->= [0, 1, 1, 0], [0, 1, 1, 0, 1, 0] ->= [0, 0]) 37.34/9.45 reason 37.34/9.45 EDG has 0 SCCs 37.34/9.45 37.34/9.45 ************************************************** 37.34/9.45 summary 37.34/9.45 ************************************************** 37.34/9.45 SRS with 4 rules on 2 letters Remap { tracing = False} 37.34/9.45 SRS with 4 rules on 2 letters DP transform 37.34/9.45 SRS with 10 rules on 3 letters Remap { tracing = False} 37.34/9.45 SRS with 10 rules on 3 letters EDG 37.34/9.45 SRS with 10 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 37.34/9.45 SRS with 7 rules on 3 letters EDG 37.34/9.45 SRS with 7 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 37.34/9.45 SRS with 6 rules on 3 letters EDG 37.34/9.45 37.34/9.45 ************************************************** 37.34/9.46 (4, 2)\Deepee(10, 3)\Matrix{\Arctic}{3}(7, 3)\Matrix{\Arctic}{3}(6, 3)\EDG[] 37.34/9.46 ************************************************** 37.52/9.52 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]} 37.52/9.52 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 37.98/9.68 EOF