34.93/8.84 YES 34.93/8.84 property Termination 34.93/8.84 has value True 34.93/8.84 for SRS ( [a] -> [], [a, a, b] -> [c, a, b, b, a, a], [b, c] -> []) 34.93/8.84 reason 34.93/8.84 remap for 3 rules 34.93/8.84 property Termination 34.93/8.84 has value True 34.93/8.84 for SRS ( [0] -> [], [0, 0, 1] -> [2, 0, 1, 1, 0, 0], [1, 2] -> []) 34.98/8.84 reason 34.98/8.84 DP transform 34.98/8.84 property Termination 34.98/8.85 has value True 34.98/8.86 for SRS ( [0] ->= [], [0, 0, 1] ->= [2, 0, 1, 1, 0, 0], [1, 2] ->= [], [0#, 0, 1] |-> [0#, 1, 1, 0, 0], [0#, 0, 1] |-> [1#, 1, 0, 0], [0#, 0, 1] |-> [1#, 0, 0], [0#, 0, 1] |-> [0#, 0], [0#, 0, 1] |-> [0#]) 34.98/8.86 reason 34.98/8.86 remap for 8 rules 34.98/8.86 property Termination 34.98/8.86 has value True 34.98/8.87 for SRS ( [0] ->= [], [0, 0, 1] ->= [2, 0, 1, 1, 0, 0], [1, 2] ->= [], [3, 0, 1] |-> [3, 1, 1, 0, 0], [3, 0, 1] |-> [4, 1, 0, 0], [3, 0, 1] |-> [4, 0, 0], [3, 0, 1] |-> [3, 0], [3, 0, 1] |-> [3]) 34.98/8.87 reason 34.98/8.87 weights 34.98/8.87 Map [(3, 2/1)] 34.98/8.87 34.98/8.87 property Termination 34.98/8.87 has value True 34.98/8.87 for SRS ( [0] ->= [], [0, 0, 1] ->= [2, 0, 1, 1, 0, 0], [1, 2] ->= [], [3, 0, 1] |-> [3, 1, 1, 0, 0], [3, 0, 1] |-> [3, 0], [3, 0, 1] |-> [3]) 34.98/8.87 reason 34.98/8.87 EDG has 1 SCCs 34.98/8.88 property Termination 34.98/8.88 has value True 34.98/8.88 for SRS ( [3, 0, 1] |-> [3, 1, 1, 0, 0], [3, 0, 1] |-> [3], [3, 0, 1] |-> [3, 0], [0] ->= [], [0, 0, 1] ->= [2, 0, 1, 1, 0, 0], [1, 2] ->= []) 34.98/8.88 reason 34.98/8.88 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 34.98/8.88 interpretation 34.98/8.88 0 / 0A 0A 0A \ 34.98/8.88 | 0A 0A 0A | 34.98/8.88 \ -3A 0A 0A / 34.98/8.88 1 / 0A 0A 0A \ 34.98/8.88 | -3A -3A 0A | 34.98/8.88 \ -3A -3A -3A / 34.98/8.88 2 / 0A 0A 3A \ 34.98/8.88 | 0A 0A 3A | 34.98/8.88 \ 0A 0A 0A / 34.98/8.88 3 / 28A 29A 29A \ 34.98/8.88 | 28A 29A 29A | 34.98/8.88 \ 28A 29A 29A / 34.98/8.88 [3, 0, 1] |-> [3, 1, 1, 0, 0] 34.98/8.88 lhs rhs ge gt 34.98/8.88 / 29A 29A 29A \ / 28A 28A 28A \ True True 34.98/8.88 | 29A 29A 29A | | 28A 28A 28A | 34.98/8.88 \ 29A 29A 29A / \ 28A 28A 28A / 34.98/8.88 [3, 0, 1] |-> [3] 34.98/8.88 lhs rhs ge gt 34.98/8.88 / 29A 29A 29A \ / 28A 29A 29A \ True False 34.98/8.88 | 29A 29A 29A | | 28A 29A 29A | 34.98/8.88 \ 29A 29A 29A / \ 28A 29A 29A / 34.98/8.88 [3, 0, 1] |-> [3, 0] 34.98/8.89 lhs rhs ge gt 34.98/8.89 / 29A 29A 29A \ / 29A 29A 29A \ True False 34.98/8.89 | 29A 29A 29A | | 29A 29A 29A | 34.98/8.89 \ 29A 29A 29A / \ 29A 29A 29A / 34.98/8.89 [0] ->= [] 34.98/8.89 lhs rhs ge gt 34.98/8.89 / 0A 0A 0A \ / 0A - - \ True False 34.98/8.89 | 0A 0A 0A | | - 0A - | 34.98/8.89 \ -3A 0A 0A / \ - - 0A / 34.98/8.89 [0, 0, 1] ->= [2, 0, 1, 1, 0, 0] 34.98/8.89 lhs rhs ge gt 34.98/8.89 / 0A 0A 0A \ / 0A 0A 0A \ True False 34.98/8.89 | 0A 0A 0A | | 0A 0A 0A | 34.98/8.89 \ 0A 0A 0A / \ 0A 0A 0A / 34.98/8.89 [1, 2] ->= [] 34.98/8.89 lhs rhs ge gt 34.98/8.89 / 0A 0A 3A \ / 0A - - \ True False 34.98/8.89 | 0A 0A 0A | | - 0A - | 34.98/8.89 \ -3A -3A 0A / \ - - 0A / 34.98/8.89 property Termination 34.98/8.89 has value True 34.98/8.89 for SRS ( [3, 0, 1] |-> [3], [3, 0, 1] |-> [3, 0], [0] ->= [], [0, 0, 1] ->= [2, 0, 1, 1, 0, 0], [1, 2] ->= []) 34.98/8.89 reason 34.98/8.89 EDG has 1 SCCs 34.98/8.89 property Termination 34.98/8.89 has value True 34.98/8.89 for SRS ( [3, 0, 1] |-> [3], [3, 0, 1] |-> [3, 0], [0] ->= [], [0, 0, 1] ->= [2, 0, 1, 1, 0, 0], [1, 2] ->= []) 34.98/8.89 reason 34.98/8.89 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 34.98/8.89 interpretation 34.98/8.89 0 / 0A 0A 3A \ 34.98/8.89 | -3A 0A 0A | 34.98/8.89 \ -3A 0A 0A / 34.98/8.89 1 / 0A 3A 3A \ 34.98/8.89 | 0A 3A 3A | 34.98/8.89 \ 0A 0A 0A / 34.98/8.89 2 / 0A 0A 0A \ 34.98/8.89 | -3A -3A -3A | 34.98/8.89 \ -3A -3A -3A / 34.98/8.89 3 / 19A 19A 19A \ 34.98/8.89 | 19A 19A 19A | 34.98/8.89 \ 19A 19A 19A / 34.98/8.89 [3, 0, 1] |-> [3] 34.98/8.89 lhs rhs ge gt 34.98/8.89 / 22A 22A 22A \ / 19A 19A 19A \ True True 34.98/8.89 | 22A 22A 22A | | 19A 19A 19A | 34.98/8.89 \ 22A 22A 22A / \ 19A 19A 19A / 34.98/8.89 [3, 0, 1] |-> [3, 0] 34.98/8.89 lhs rhs ge gt 34.98/8.89 / 22A 22A 22A \ / 19A 19A 22A \ True False 34.98/8.89 | 22A 22A 22A | | 19A 19A 22A | 34.98/8.89 \ 22A 22A 22A / \ 19A 19A 22A / 34.98/8.89 [0] ->= [] 34.98/8.89 lhs rhs ge gt 34.98/8.89 / 0A 0A 3A \ / 0A - - \ True False 34.98/8.89 | -3A 0A 0A | | - 0A - | 34.98/8.89 \ -3A 0A 0A / \ - - 0A / 34.98/8.90 [0, 0, 1] ->= [2, 0, 1, 1, 0, 0] 34.98/8.90 lhs rhs ge gt 34.98/8.90 / 3A 6A 6A \ / 3A 6A 6A \ True False 34.98/8.90 | 0A 3A 3A | | 0A 3A 3A | 34.98/8.90 \ 0A 3A 3A / \ 0A 3A 3A / 34.98/8.90 [1, 2] ->= [] 34.98/8.90 lhs rhs ge gt 34.98/8.90 / 0A 0A 0A \ / 0A - - \ True False 34.98/8.90 | 0A 0A 0A | | - 0A - | 34.98/8.90 \ 0A 0A 0A / \ - - 0A / 34.98/8.90 property Termination 34.98/8.90 has value True 34.98/8.90 for SRS ( [3, 0, 1] |-> [3, 0], [0] ->= [], [0, 0, 1] ->= [2, 0, 1, 1, 0, 0], [1, 2] ->= []) 34.98/8.90 reason 34.98/8.90 EDG has 1 SCCs 34.98/8.90 property Termination 34.98/8.90 has value True 34.98/8.90 for SRS ( [3, 0, 1] |-> [3, 0], [0] ->= [], [0, 0, 1] ->= [2, 0, 1, 1, 0, 0], [1, 2] ->= []) 34.98/8.90 reason 34.98/8.90 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 34.98/8.90 interpretation 34.98/8.90 0 / 0A 0A 3A \ 34.98/8.90 | -3A 0A 0A | 34.98/8.90 \ -3A 0A 0A / 34.98/8.90 1 / 0A 3A 3A \ 34.98/8.90 | 0A 3A 3A | 34.98/8.90 \ 0A 0A 0A / 34.98/8.90 2 / 0A 0A 0A \ 34.98/8.90 | -3A -3A -3A | 34.98/8.90 \ -3A -3A -3A / 34.98/8.90 3 / 36A 37A 37A \ 34.98/8.90 | 36A 37A 37A | 34.98/8.90 \ 36A 37A 37A / 34.98/8.90 [3, 0, 1] |-> [3, 0] 34.98/8.90 lhs rhs ge gt 34.98/8.90 / 39A 40A 40A \ / 36A 37A 39A \ True True 34.98/8.90 | 39A 40A 40A | | 36A 37A 39A | 34.98/8.90 \ 39A 40A 40A / \ 36A 37A 39A / 34.98/8.90 [0] ->= [] 34.98/8.90 lhs rhs ge gt 34.98/8.90 / 0A 0A 3A \ / 0A - - \ True False 34.98/8.90 | -3A 0A 0A | | - 0A - | 34.98/8.90 \ -3A 0A 0A / \ - - 0A / 34.98/8.90 [0, 0, 1] ->= [2, 0, 1, 1, 0, 0] 34.98/8.90 lhs rhs ge gt 34.98/8.90 / 3A 6A 6A \ / 3A 6A 6A \ True False 34.98/8.90 | 0A 3A 3A | | 0A 3A 3A | 34.98/8.90 \ 0A 3A 3A / \ 0A 3A 3A / 34.98/8.90 [1, 2] ->= [] 34.98/8.90 lhs rhs ge gt 34.98/8.90 / 0A 0A 0A \ / 0A - - \ True False 34.98/8.90 | 0A 0A 0A | | - 0A - | 34.98/8.90 \ 0A 0A 0A / \ - - 0A / 34.98/8.90 property Termination 34.98/8.90 has value True 34.98/8.90 for SRS ( [0] ->= [], [0, 0, 1] ->= [2, 0, 1, 1, 0, 0], [1, 2] ->= []) 34.98/8.90 reason 34.98/8.90 EDG has 0 SCCs 34.98/8.90 34.98/8.90 ************************************************** 34.98/8.90 summary 34.98/8.90 ************************************************** 34.98/8.90 SRS with 3 rules on 3 letters Remap { tracing = False} 34.98/8.90 SRS with 3 rules on 3 letters DP transform 34.98/8.90 SRS with 8 rules on 5 letters Remap { tracing = False} 34.98/8.90 SRS with 8 rules on 5 letters weights 34.98/8.90 SRS with 6 rules on 4 letters EDG 34.98/8.90 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 34.98/8.90 SRS with 5 rules on 4 letters EDG 34.98/8.90 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 34.98/8.90 SRS with 4 rules on 4 letters EDG 34.98/8.90 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 34.98/8.90 SRS with 3 rules on 3 letters EDG 34.98/8.90 34.98/8.90 ************************************************** 34.98/8.90 (3, 3)\Deepee(8, 5)\Weight(6, 4)\Matrix{\Arctic}{3}(5, 4)\Matrix{\Arctic}{3}(4, 4)\Matrix{\Arctic}{3}(3, 3)\EDG[] 34.98/8.90 ************************************************** 35.21/8.92 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]} 35.21/8.92 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 35.46/9.06 EOF