13.56/3.45 YES 13.56/3.45 property Termination 13.56/3.45 has value True 13.56/3.48 for SRS ( [a, a, s, s] -> [s, s, a, a], [b, b, a, a, b, b, s, s] -> [a, a, b, b, s, s, a, a], [b, b, a, a, b, b, b, b] -> [a, a, b, b, a, a, b, b], [a, a, b, b, a, a, a, a] -> [b, b, a, a, b, b, a, a]) 13.56/3.48 reason 13.56/3.48 remap for 4 rules 13.56/3.48 property Termination 13.56/3.48 has value True 13.69/3.49 for SRS ( [0, 0, 1, 1] -> [1, 1, 0, 0], [2, 2, 0, 0, 2, 2, 1, 1] -> [0, 0, 2, 2, 1, 1, 0, 0], [2, 2, 0, 0, 2, 2, 2, 2] -> [0, 0, 2, 2, 0, 0, 2, 2], [0, 0, 2, 2, 0, 0, 0, 0] -> [2, 2, 0, 0, 2, 2, 0, 0]) 13.69/3.49 reason 13.69/3.49 DP transform 13.69/3.50 property Termination 13.69/3.50 has value True 13.93/3.55 for SRS ( [0, 0, 1, 1] ->= [1, 1, 0, 0], [2, 2, 0, 0, 2, 2, 1, 1] ->= [0, 0, 2, 2, 1, 1, 0, 0], [2, 2, 0, 0, 2, 2, 2, 2] ->= [0, 0, 2, 2, 0, 0, 2, 2], [0, 0, 2, 2, 0, 0, 0, 0] ->= [2, 2, 0, 0, 2, 2, 0, 0], [0#, 0, 1, 1] |-> [0#, 0], [0#, 0, 1, 1] |-> [0#], [2#, 2, 0, 0, 2, 2, 1, 1] |-> [0#, 0, 2, 2, 1, 1, 0, 0], [2#, 2, 0, 0, 2, 2, 1, 1] |-> [0#, 2, 2, 1, 1, 0, 0], [2#, 2, 0, 0, 2, 2, 1, 1] |-> [2#, 2, 1, 1, 0, 0], [2#, 2, 0, 0, 2, 2, 1, 1] |-> [2#, 1, 1, 0, 0], [2#, 2, 0, 0, 2, 2, 1, 1] |-> [0#, 0], [2#, 2, 0, 0, 2, 2, 1, 1] |-> [0#], [2#, 2, 0, 0, 2, 2, 2, 2] |-> [0#, 0, 2, 2, 0, 0, 2, 2], [2#, 2, 0, 0, 2, 2, 2, 2] |-> [0#, 2, 2, 0, 0, 2, 2], [2#, 2, 0, 0, 2, 2, 2, 2] |-> [2#, 2, 0, 0, 2, 2], [2#, 2, 0, 0, 2, 2, 2, 2] |-> [2#, 0, 0, 2, 2], [2#, 2, 0, 0, 2, 2, 2, 2] |-> [0#, 0, 2, 2], [2#, 2, 0, 0, 2, 2, 2, 2] |-> [0#, 2, 2], [0#, 0, 2, 2, 0, 0, 0, 0] |-> [2#, 2, 0, 0, 2, 2, 0, 0], [0#, 0, 2, 2, 0, 0, 0, 0] |-> [2#, 0, 0, 2, 2, 0, 0], [0#, 0, 2, 2, 0, 0, 0, 0] |-> [0#, 0, 2, 2, 0, 0], [0#, 0, 2, 2, 0, 0, 0, 0] |-> [0#, 2, 2, 0, 0], [0#, 0, 2, 2, 0, 0, 0, 0] |-> [2#, 2, 0, 0], [0#, 0, 2, 2, 0, 0, 0, 0] |-> [2#, 0, 0]) 13.93/3.55 reason 13.93/3.55 remap for 24 rules 13.93/3.55 property Termination 13.93/3.55 has value True 14.32/3.67 for SRS ( [0, 0, 1, 1] ->= [1, 1, 0, 0], [2, 2, 0, 0, 2, 2, 1, 1] ->= [0, 0, 2, 2, 1, 1, 0, 0], [2, 2, 0, 0, 2, 2, 2, 2] ->= [0, 0, 2, 2, 0, 0, 2, 2], [0, 0, 2, 2, 0, 0, 0, 0] ->= [2, 2, 0, 0, 2, 2, 0, 0], [3, 0, 1, 1] |-> [3, 0], [3, 0, 1, 1] |-> [3], [4, 2, 0, 0, 2, 2, 1, 1] |-> [3, 0, 2, 2, 1, 1, 0, 0], [4, 2, 0, 0, 2, 2, 1, 1] |-> [3, 2, 2, 1, 1, 0, 0], [4, 2, 0, 0, 2, 2, 1, 1] |-> [4, 2, 1, 1, 0, 0], [4, 2, 0, 0, 2, 2, 1, 1] |-> [4, 1, 1, 0, 0], [4, 2, 0, 0, 2, 2, 1, 1] |-> [3, 0], [4, 2, 0, 0, 2, 2, 1, 1] |-> [3], [4, 2, 0, 0, 2, 2, 2, 2] |-> [3, 0, 2, 2, 0, 0, 2, 2], [4, 2, 0, 0, 2, 2, 2, 2] |-> [3, 2, 2, 0, 0, 2, 2], [4, 2, 0, 0, 2, 2, 2, 2] |-> [4, 2, 0, 0, 2, 2], [4, 2, 0, 0, 2, 2, 2, 2] |-> [4, 0, 0, 2, 2], [4, 2, 0, 0, 2, 2, 2, 2] |-> [3, 0, 2, 2], [4, 2, 0, 0, 2, 2, 2, 2] |-> [3, 2, 2], [3, 0, 2, 2, 0, 0, 0, 0] |-> [4, 2, 0, 0, 2, 2, 0, 0], [3, 0, 2, 2, 0, 0, 0, 0] |-> [4, 0, 0, 2, 2, 0, 0], [3, 0, 2, 2, 0, 0, 0, 0] |-> [3, 0, 2, 2, 0, 0], [3, 0, 2, 2, 0, 0, 0, 0] |-> [3, 2, 2, 0, 0], [3, 0, 2, 2, 0, 0, 0, 0] |-> [4, 2, 0, 0], [3, 0, 2, 2, 0, 0, 0, 0] |-> [4, 0, 0]) 14.32/3.67 reason 14.32/3.67 weights 14.32/3.67 Map [(0, 1/36), (1, 1/2), (2, 1/36)] 14.32/3.67 14.32/3.67 property Termination 14.32/3.67 has value True 14.32/3.69 for SRS ( [0, 0, 1, 1] ->= [1, 1, 0, 0], [2, 2, 0, 0, 2, 2, 1, 1] ->= [0, 0, 2, 2, 1, 1, 0, 0], [2, 2, 0, 0, 2, 2, 2, 2] ->= [0, 0, 2, 2, 0, 0, 2, 2], [0, 0, 2, 2, 0, 0, 0, 0] ->= [2, 2, 0, 0, 2, 2, 0, 0], [4, 2, 0, 0, 2, 2, 1, 1] |-> [3, 0, 2, 2, 1, 1, 0, 0], [4, 2, 0, 0, 2, 2, 2, 2] |-> [3, 0, 2, 2, 0, 0, 2, 2], [3, 0, 2, 2, 0, 0, 0, 0] |-> [4, 2, 0, 0, 2, 2, 0, 0]) 14.32/3.69 reason 14.32/3.69 EDG has 1 SCCs 14.32/3.69 property Termination 14.32/3.69 has value True 14.32/3.70 for SRS ( [3, 0, 2, 2, 0, 0, 0, 0] |-> [4, 2, 0, 0, 2, 2, 0, 0], [4, 2, 0, 0, 2, 2, 2, 2] |-> [3, 0, 2, 2, 0, 0, 2, 2], [0, 0, 1, 1] ->= [1, 1, 0, 0], [2, 2, 0, 0, 2, 2, 1, 1] ->= [0, 0, 2, 2, 1, 1, 0, 0], [2, 2, 0, 0, 2, 2, 2, 2] ->= [0, 0, 2, 2, 0, 0, 2, 2], [0, 0, 2, 2, 0, 0, 0, 0] ->= [2, 2, 0, 0, 2, 2, 0, 0]) 14.32/3.70 reason 14.32/3.71 Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} 14.32/3.71 interpretation 14.32/3.71 0 / 2 0 \ 14.32/3.71 \ 0 1 / 14.32/3.71 1 / 1 1 \ 14.32/3.71 \ 0 1 / 14.32/3.71 2 / 2 0 \ 14.32/3.71 \ 0 1 / 14.32/3.71 3 / 1 1 \ 14.32/3.71 \ 0 1 / 14.32/3.71 4 / 1 1 \ 14.32/3.71 \ 0 1 / 14.32/3.71 [3, 0, 2, 2, 0, 0, 0, 0] |-> [4, 2, 0, 0, 2, 2, 0, 0] 14.32/3.71 lhs rhs ge gt 14.32/3.71 / 128 1 \ / 128 1 \ True False 14.32/3.71 \ 0 1 / \ 0 1 / 14.32/3.71 [4, 2, 0, 0, 2, 2, 2, 2] |-> [3, 0, 2, 2, 0, 0, 2, 2] 14.32/3.71 lhs rhs ge gt 14.32/3.71 / 128 1 \ / 128 1 \ True False 14.32/3.71 \ 0 1 / \ 0 1 / 14.32/3.71 [0, 0, 1, 1] ->= [1, 1, 0, 0] 14.32/3.72 lhs rhs ge gt 14.32/3.72 / 4 8 \ / 4 2 \ True True 14.32/3.72 \ 0 1 / \ 0 1 / 14.32/3.72 [2, 2, 0, 0, 2, 2, 1, 1] ->= [0, 0, 2, 2, 1, 1, 0, 0] 14.32/3.72 lhs rhs ge gt 14.32/3.72 / 64 128 \ / 64 32 \ True True 14.32/3.72 \ 0 1 / \ 0 1 / 14.32/3.72 [2, 2, 0, 0, 2, 2, 2, 2] ->= [0, 0, 2, 2, 0, 0, 2, 2] 14.32/3.72 lhs rhs ge gt 14.32/3.72 / 256 0 \ / 256 0 \ True False 14.32/3.72 \ 0 1 / \ 0 1 / 14.32/3.72 [0, 0, 2, 2, 0, 0, 0, 0] ->= [2, 2, 0, 0, 2, 2, 0, 0] 14.32/3.72 lhs rhs ge gt 14.32/3.72 / 256 0 \ / 256 0 \ True False 14.32/3.72 \ 0 1 / \ 0 1 / 14.32/3.72 property Termination 14.32/3.72 has value True 14.32/3.73 for SRS ( [3, 0, 2, 2, 0, 0, 0, 0] |-> [4, 2, 0, 0, 2, 2, 0, 0], [4, 2, 0, 0, 2, 2, 2, 2] |-> [3, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 0, 2, 2, 2, 2] ->= [0, 0, 2, 2, 0, 0, 2, 2], [0, 0, 2, 2, 0, 0, 0, 0] ->= [2, 2, 0, 0, 2, 2, 0, 0]) 14.32/3.73 reason 14.32/3.73 EDG has 1 SCCs 14.32/3.73 property Termination 14.32/3.73 has value True 14.32/3.73 for SRS ( [3, 0, 2, 2, 0, 0, 0, 0] |-> [4, 2, 0, 0, 2, 2, 0, 0], [4, 2, 0, 0, 2, 2, 2, 2] |-> [3, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 0, 2, 2, 2, 2] ->= [0, 0, 2, 2, 0, 0, 2, 2], [0, 0, 2, 2, 0, 0, 0, 0] ->= [2, 2, 0, 0, 2, 2, 0, 0]) 14.32/3.73 reason 14.32/3.73 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 14.32/3.73 interpretation 14.32/3.73 0 / 2A 2A \ 14.32/3.73 \ 0A 0A / 14.32/3.73 2 / 0A 2A \ 14.32/3.73 \ 0A 2A / 14.32/3.73 3 / 14A 14A \ 14.32/3.73 \ 14A 14A / 14.32/3.73 4 / 14A 16A \ 14.32/3.73 \ 14A 16A / 14.32/3.73 [3, 0, 2, 2, 0, 0, 0, 0] |-> [4, 2, 0, 0, 2, 2, 0, 0] 14.32/3.73 lhs rhs ge gt 14.32/3.73 / 26A 26A \ / 26A 26A \ True False 14.32/3.73 \ 26A 26A / \ 26A 26A / 14.32/3.73 [4, 2, 0, 0, 2, 2, 2, 2] |-> [3, 0, 2, 2, 0, 0, 2, 2] 14.32/3.73 lhs rhs ge gt 14.32/3.73 / 26A 28A \ / 24A 26A \ True True 14.32/3.73 \ 26A 28A / \ 24A 26A / 14.32/3.73 [2, 2, 0, 0, 2, 2, 2, 2] ->= [0, 0, 2, 2, 0, 0, 2, 2] 14.32/3.73 lhs rhs ge gt 14.32/3.73 / 12A 14A \ / 12A 14A \ True False 14.32/3.73 \ 12A 14A / \ 10A 12A / 14.32/3.73 [0, 0, 2, 2, 0, 0, 0, 0] ->= [2, 2, 0, 0, 2, 2, 0, 0] 14.32/3.73 lhs rhs ge gt 14.32/3.73 / 14A 14A \ / 12A 12A \ True False 14.32/3.73 \ 12A 12A / \ 12A 12A / 14.32/3.73 property Termination 14.32/3.73 has value True 14.32/3.74 for SRS ( [3, 0, 2, 2, 0, 0, 0, 0] |-> [4, 2, 0, 0, 2, 2, 0, 0], [2, 2, 0, 0, 2, 2, 2, 2] ->= [0, 0, 2, 2, 0, 0, 2, 2], [0, 0, 2, 2, 0, 0, 0, 0] ->= [2, 2, 0, 0, 2, 2, 0, 0]) 14.32/3.74 reason 14.32/3.74 weights 14.32/3.74 Map [(3, 1/1)] 14.32/3.74 14.32/3.74 property Termination 14.32/3.74 has value True 14.32/3.74 for SRS ( [2, 2, 0, 0, 2, 2, 2, 2] ->= [0, 0, 2, 2, 0, 0, 2, 2], [0, 0, 2, 2, 0, 0, 0, 0] ->= [2, 2, 0, 0, 2, 2, 0, 0]) 14.32/3.74 reason 14.32/3.74 EDG has 0 SCCs 14.32/3.74 14.32/3.74 ************************************************** 14.32/3.74 summary 14.32/3.74 ************************************************** 14.32/3.74 SRS with 4 rules on 3 letters Remap { tracing = False} 14.32/3.74 SRS with 4 rules on 3 letters DP transform 14.32/3.74 SRS with 24 rules on 5 letters Remap { tracing = False} 14.32/3.74 SRS with 24 rules on 5 letters weights 14.32/3.74 SRS with 7 rules on 5 letters EDG 14.32/3.74 SRS with 6 rules on 5 letters Matrix { monotone = Strict, domain = Natural, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} 14.32/3.74 SRS with 4 rules on 4 letters EDG 14.32/3.74 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 14.32/3.74 SRS with 3 rules on 4 letters weights 14.32/3.74 SRS with 2 rules on 2 letters EDG 14.32/3.74 14.32/3.74 ************************************************** 14.32/3.74 (4, 3)\Deepee(24, 5)\Weight(7, 5)\EDG(6, 5)\Matrix{\Natural}{2}(4, 4)\Matrix{\Arctic}{2}(3, 4)\Weight(2, 2)\EDG[] 14.32/3.74 ************************************************** 14.66/3.78 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]} 14.66/3.78 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 14.93/3.87 EOF