9.65/2.51 YES 9.65/2.52 property Termination 9.65/2.52 has value True 9.65/2.52 for SRS ( [a, a, b, a] -> [a, b, b], [b, b] -> [b, a, a, a]) 9.65/2.52 reason 9.65/2.52 remap for 2 rules 9.65/2.52 property Termination 9.65/2.52 has value True 9.65/2.52 for SRS ( [0, 0, 1, 0] -> [0, 1, 1], [1, 1] -> [1, 0, 0, 0]) 9.65/2.52 reason 9.65/2.52 DP transform 9.65/2.52 property Termination 9.65/2.52 has value True 9.65/2.54 for SRS ( [0, 0, 1, 0] ->= [0, 1, 1], [1, 1] ->= [1, 0, 0, 0], [0#, 0, 1, 0] |-> [0#, 1, 1], [0#, 0, 1, 0] |-> [1#, 1], [0#, 0, 1, 0] |-> [1#], [1#, 1] |-> [1#, 0, 0, 0], [1#, 1] |-> [0#, 0, 0], [1#, 1] |-> [0#, 0], [1#, 1] |-> [0#]) 9.65/2.54 reason 9.65/2.54 remap for 9 rules 9.65/2.54 property Termination 9.65/2.54 has value True 10.01/2.55 for SRS ( [0, 0, 1, 0] ->= [0, 1, 1], [1, 1] ->= [1, 0, 0, 0], [2, 0, 1, 0] |-> [2, 1, 1], [2, 0, 1, 0] |-> [3, 1], [2, 0, 1, 0] |-> [3], [3, 1] |-> [3, 0, 0, 0], [3, 1] |-> [2, 0, 0], [3, 1] |-> [2, 0], [3, 1] |-> [2]) 10.01/2.55 reason 10.01/2.56 EDG has 1 SCCs 10.01/2.56 property Termination 10.01/2.56 has value True 10.01/2.56 for SRS ( [2, 0, 1, 0] |-> [2, 1, 1], [2, 0, 1, 0] |-> [3], [3, 1] |-> [2], [2, 0, 1, 0] |-> [3, 1], [3, 1] |-> [2, 0], [3, 1] |-> [2, 0, 0], [3, 1] |-> [3, 0, 0, 0], [0, 0, 1, 0] ->= [0, 1, 1], [1, 1] ->= [1, 0, 0, 0]) 10.01/2.56 reason 10.01/2.56 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 10.01/2.56 interpretation 10.01/2.56 0 / 0A 2A \ 10.01/2.56 \ -2A 0A / 10.01/2.56 1 / 0A 2A \ 10.01/2.56 \ 0A 0A / 10.01/2.56 2 / 16A 16A \ 10.01/2.56 \ 16A 16A / 10.01/2.56 3 / 17A 18A \ 10.01/2.56 \ 17A 18A / 10.01/2.56 [2, 0, 1, 0] |-> [2, 1, 1] 10.01/2.56 lhs rhs ge gt 10.01/2.56 / 18A 20A \ / 18A 18A \ True False 10.01/2.56 \ 18A 20A / \ 18A 18A / 10.01/2.56 [2, 0, 1, 0] |-> [3] 10.01/2.56 lhs rhs ge gt 10.01/2.56 / 18A 20A \ / 17A 18A \ True True 10.01/2.56 \ 18A 20A / \ 17A 18A / 10.01/2.56 [3, 1] |-> [2] 10.01/2.56 lhs rhs ge gt 10.01/2.56 / 18A 19A \ / 16A 16A \ True True 10.01/2.56 \ 18A 19A / \ 16A 16A / 10.01/2.56 [2, 0, 1, 0] |-> [3, 1] 10.01/2.56 lhs rhs ge gt 10.01/2.56 / 18A 20A \ / 18A 19A \ True False 10.01/2.56 \ 18A 20A / \ 18A 19A / 10.01/2.56 [3, 1] |-> [2, 0] 10.01/2.56 lhs rhs ge gt 10.01/2.56 / 18A 19A \ / 16A 18A \ True True 10.01/2.56 \ 18A 19A / \ 16A 18A / 10.01/2.56 [3, 1] |-> [2, 0, 0] 10.01/2.56 lhs rhs ge gt 10.01/2.56 / 18A 19A \ / 16A 18A \ True True 10.01/2.56 \ 18A 19A / \ 16A 18A / 10.01/2.56 [3, 1] |-> [3, 0, 0, 0] 10.01/2.56 lhs rhs ge gt 10.01/2.56 / 18A 19A \ / 17A 19A \ True False 10.01/2.56 \ 18A 19A / \ 17A 19A / 10.01/2.56 [0, 0, 1, 0] ->= [0, 1, 1] 10.01/2.56 lhs rhs ge gt 10.01/2.56 / 2A 4A \ / 2A 4A \ True False 10.01/2.56 \ 0A 2A / \ 0A 2A / 10.01/2.56 [1, 1] ->= [1, 0, 0, 0] 10.01/2.56 lhs rhs ge gt 10.01/2.56 / 2A 2A \ / 0A 2A \ True False 10.01/2.56 \ 0A 2A / \ 0A 2A / 10.01/2.56 property Termination 10.01/2.56 has value True 10.01/2.56 for SRS ( [2, 0, 1, 0] |-> [2, 1, 1], [2, 0, 1, 0] |-> [3, 1], [3, 1] |-> [3, 0, 0, 0], [0, 0, 1, 0] ->= [0, 1, 1], [1, 1] ->= [1, 0, 0, 0]) 10.01/2.56 reason 10.01/2.56 weights 10.01/2.56 Map [(2, 1/1)] 10.01/2.56 10.01/2.56 property Termination 10.01/2.56 has value True 10.01/2.56 for SRS ( [2, 0, 1, 0] |-> [2, 1, 1], [3, 1] |-> [3, 0, 0, 0], [0, 0, 1, 0] ->= [0, 1, 1], [1, 1] ->= [1, 0, 0, 0]) 10.01/2.57 reason 10.01/2.57 EDG has 2 SCCs 10.01/2.57 property Termination 10.01/2.57 has value True 10.01/2.58 for SRS ( [2, 0, 1, 0] |-> [2, 1, 1], [0, 0, 1, 0] ->= [0, 1, 1], [1, 1] ->= [1, 0, 0, 0]) 10.01/2.58 reason 10.01/2.58 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 10.01/2.58 interpretation 10.01/2.58 0 / 0A 0A \ 10.01/2.58 \ 0A 0A / 10.01/2.58 1 / 0A 0A \ 10.01/2.58 \ -2A -2A / 10.01/2.58 2 / 10A 12A \ 10.01/2.58 \ 10A 12A / 10.01/2.58 [2, 0, 1, 0] |-> [2, 1, 1] 10.01/2.58 lhs rhs ge gt 10.01/2.58 / 12A 12A \ / 10A 10A \ True True 10.01/2.58 \ 12A 12A / \ 10A 10A / 10.01/2.59 [0, 0, 1, 0] ->= [0, 1, 1] 10.01/2.59 lhs rhs ge gt 10.01/2.59 / 0A 0A \ / 0A 0A \ True False 10.01/2.59 \ 0A 0A / \ 0A 0A / 10.01/2.59 [1, 1] ->= [1, 0, 0, 0] 10.01/2.59 lhs rhs ge gt 10.01/2.59 / 0A 0A \ / 0A 0A \ True False 10.01/2.59 \ -2A -2A / \ -2A -2A / 10.01/2.59 property Termination 10.01/2.59 has value True 10.19/2.59 for SRS ( [0, 0, 1, 0] ->= [0, 1, 1], [1, 1] ->= [1, 0, 0, 0]) 10.19/2.59 reason 10.19/2.59 EDG has 0 SCCs 10.19/2.59 10.19/2.59 property Termination 10.19/2.59 has value True 10.19/2.59 for SRS ( [3, 1] |-> [3, 0, 0, 0], [0, 0, 1, 0] ->= [0, 1, 1], [1, 1] ->= [1, 0, 0, 0]) 10.19/2.59 reason 10.19/2.59 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 10.19/2.59 interpretation 10.19/2.59 0 / 0A 0A \ 10.19/2.59 \ -2A -2A / 10.19/2.59 1 / 0A 0A \ 10.19/2.59 \ 0A 0A / 10.19/2.59 3 / 8A 10A \ 10.19/2.59 \ 8A 10A / 10.19/2.59 [3, 1] |-> [3, 0, 0, 0] 10.19/2.59 lhs rhs ge gt 10.19/2.59 / 10A 10A \ / 8A 8A \ True True 10.19/2.59 \ 10A 10A / \ 8A 8A / 10.19/2.59 [0, 0, 1, 0] ->= [0, 1, 1] 10.19/2.59 lhs rhs ge gt 10.19/2.59 / 0A 0A \ / 0A 0A \ True False 10.19/2.59 \ -2A -2A / \ -2A -2A / 10.19/2.59 [1, 1] ->= [1, 0, 0, 0] 10.19/2.59 lhs rhs ge gt 10.19/2.59 / 0A 0A \ / 0A 0A \ True False 10.19/2.59 \ 0A 0A / \ 0A 0A / 10.19/2.59 property Termination 10.19/2.59 has value True 10.19/2.59 for SRS ( [0, 0, 1, 0] ->= [0, 1, 1], [1, 1] ->= [1, 0, 0, 0]) 10.19/2.60 reason 10.19/2.60 EDG has 0 SCCs 10.19/2.60 10.19/2.60 ************************************************** 10.19/2.60 summary 10.19/2.60 ************************************************** 10.19/2.60 SRS with 2 rules on 2 letters Remap { tracing = False} 10.19/2.61 SRS with 2 rules on 2 letters DP transform 10.19/2.61 SRS with 9 rules on 4 letters Remap { tracing = False} 10.19/2.61 SRS with 9 rules on 4 letters EDG 10.19/2.61 SRS with 9 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 10.19/2.62 SRS with 5 rules on 4 letters weights 10.19/2.62 SRS with 4 rules on 4 letters EDG 10.19/2.62 2 sub-proofs 10.19/2.62 1 SRS with 3 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 10.19/2.62 SRS with 2 rules on 2 letters EDG 10.19/2.62 10.19/2.62 2 SRS with 3 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 10.19/2.62 SRS with 2 rules on 2 letters EDG 10.19/2.62 10.19/2.62 ************************************************** 10.19/2.64 (2, 2)\Deepee(9, 4)\Matrix{\Arctic}{2}(5, 4)\Weight(4, 4)\EDG[(3, 3)\Matrix{\Arctic}{2}(2, 2)\EDG[],(3, 3)\Matrix{\Arctic}{2}(2, 2)\EDG[]] 10.19/2.64 ************************************************** 12.31/3.18 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]} 13.74/3.53 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 13.84/3.61 EOF