98.71/24.96 YES 98.71/24.96 property Termination 98.71/24.96 has value True 98.71/24.96 for SRS ( [b, b, b] -> [a], [a, a] -> [a, b, a], [b, c] -> [c, a, a], [a, c] -> [c, b, b], [a, a, a] -> [b, a, a]) 98.71/24.96 reason 98.71/24.96 remap for 5 rules 98.71/24.96 property Termination 98.71/24.96 has value True 98.71/24.96 for SRS ( [0, 0, 0] -> [1], [1, 1] -> [1, 0, 1], [0, 2] -> [2, 1, 1], [1, 2] -> [2, 0, 0], [1, 1, 1] -> [0, 1, 1]) 98.71/24.96 reason 98.71/24.96 DP transform 98.71/24.96 property Termination 98.71/24.96 has value True 98.71/24.96 for SRS ( [0, 0, 0] ->= [1], [1, 1] ->= [1, 0, 1], [0, 2] ->= [2, 1, 1], [1, 2] ->= [2, 0, 0], [1, 1, 1] ->= [0, 1, 1], [0#, 0, 0] |-> [1#], [1#, 1] |-> [1#, 0, 1], [1#, 1] |-> [0#, 1], [0#, 2] |-> [1#, 1], [0#, 2] |-> [1#], [1#, 2] |-> [0#, 0], [1#, 2] |-> [0#], [1#, 1, 1] |-> [0#, 1, 1]) 98.71/24.96 reason 98.71/24.96 remap for 13 rules 98.71/24.96 property Termination 98.71/24.96 has value True 98.71/24.96 for SRS ( [0, 0, 0] ->= [1], [1, 1] ->= [1, 0, 1], [0, 2] ->= [2, 1, 1], [1, 2] ->= [2, 0, 0], [1, 1, 1] ->= [0, 1, 1], [3, 0, 0] |-> [4], [4, 1] |-> [4, 0, 1], [4, 1] |-> [3, 1], [3, 2] |-> [4, 1], [3, 2] |-> [4], [4, 2] |-> [3, 0], [4, 2] |-> [3], [4, 1, 1] |-> [3, 1, 1]) 98.71/24.96 reason 98.71/24.96 weights 98.71/24.96 Map [(2, 4/1)] 98.71/24.96 98.71/24.96 property Termination 98.71/24.96 has value True 98.71/24.96 for SRS ( [0, 0, 0] ->= [1], [1, 1] ->= [1, 0, 1], [0, 2] ->= [2, 1, 1], [1, 2] ->= [2, 0, 0], [1, 1, 1] ->= [0, 1, 1], [3, 0, 0] |-> [4], [4, 1] |-> [4, 0, 1], [4, 1] |-> [3, 1], [4, 1, 1] |-> [3, 1, 1]) 98.71/24.96 reason 98.71/24.96 EDG has 1 SCCs 98.71/24.96 property Termination 98.71/24.96 has value True 98.71/24.96 for SRS ( [3, 0, 0] |-> [4], [4, 1, 1] |-> [3, 1, 1], [4, 1] |-> [3, 1], [4, 1] |-> [4, 0, 1], [0, 0, 0] ->= [1], [1, 1] ->= [1, 0, 1], [0, 2] ->= [2, 1, 1], [1, 2] ->= [2, 0, 0], [1, 1, 1] ->= [0, 1, 1]) 98.71/24.96 reason 98.71/24.96 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 98.71/24.96 interpretation 98.71/24.96 0 Wk / - 1A - 0A \ 98.71/24.96 | 0A 0A 1A 5A | 98.71/24.96 | 0A 1A - - | 98.71/24.96 \ - - - 0A / 98.71/24.96 1 Wk / 1A 0A 2A - \ 98.71/24.97 | 0A - 1A - | 98.71/24.97 | 2A 0A 2A 3A | 98.71/24.97 \ - - - 0A / 98.71/24.97 2 Wk / - - - 0A \ 98.71/24.97 | - - - - | 98.71/24.97 | - - - 0A | 98.71/24.97 \ - - - 0A / 98.71/24.97 3 Wk / - 0A - 4A \ 98.71/24.97 | 0A - - 0A | 98.71/24.97 | 0A - - 4A | 98.71/24.97 \ - - - 0A / 98.71/24.97 4 Wk / 0A - 0A 4A \ 98.71/24.97 | 0A - - 0A | 98.71/24.97 | - - 1A - | 98.71/24.97 \ - - - 0A / 98.71/24.97 [3, 0, 0] |-> [4] 98.71/24.97 lhs rhs ge gt 98.71/24.97 Wk / 1A 2A 1A 5A \ Wk / 0A - 0A 4A \ True True 98.71/24.97 | 1A 1A 2A 6A | | 0A - - 0A | 98.71/24.97 | 1A 1A 2A 6A | | - - 1A - | 98.71/24.97 \ - - - 0A / \ - - - 0A / 98.71/24.97 [4, 1, 1] |-> [3, 1, 1] 98.71/24.97 lhs rhs ge gt 98.71/24.97 Wk / 4A 2A 4A 5A \ Wk / 3A 1A 3A 4A \ True False 98.71/24.97 | 4A 2A 4A 5A | | 4A 2A 4A 5A | 98.71/24.97 | 5A 3A 5A 6A | | 4A 2A 4A 5A | 98.71/24.97 \ - - - 0A / \ - - - 0A / 98.71/24.97 [4, 1] |-> [3, 1] 98.71/24.97 lhs rhs ge gt 98.71/24.97 Wk / 2A 0A 2A 4A \ Wk / 0A - 1A 4A \ True False 98.71/24.97 | 1A 0A 2A 0A | | 1A 0A 2A 0A | 98.71/24.97 | 3A 1A 3A 4A | | 1A 0A 2A 4A | 98.71/24.97 \ - - - 0A / \ - - - 0A / 98.71/24.97 [4, 1] |-> [4, 0, 1] 98.71/24.97 lhs rhs ge gt 98.71/24.97 Wk / 2A 0A 2A 4A \ Wk / 1A 0A 2A 4A \ True False 98.71/24.97 | 1A 0A 2A 0A | | 1A - 2A 0A | 98.71/24.97 | 3A 1A 3A 4A | | 2A 1A 3A - | 98.71/24.97 \ - - - 0A / \ - - - 0A / 98.71/24.97 [0, 0, 0] ->= [1] 98.71/24.97 lhs rhs ge gt 98.71/24.97 Wk / 2A 3A 2A 6A \ Wk / 1A 0A 2A - \ True False 98.71/24.97 | 2A 2A 3A 7A | | 0A - 1A - | 98.71/24.97 | 2A 3A 2A 6A | | 2A 0A 2A 3A | 98.71/24.97 \ - - - 0A / \ - - - 0A / 98.71/24.97 [1, 1] ->= [1, 0, 1] 98.71/24.98 lhs rhs ge gt 98.71/24.98 Wk / 4A 2A 4A 5A \ Wk / 3A 2A 4A 5A \ True False 98.71/24.98 | 3A 1A 3A 4A | | 2A 1A 3A 0A | 98.71/24.98 | 4A 2A 4A 5A | | 3A 2A 4A 5A | 98.71/24.98 \ - - - 0A / \ - - - 0A / 98.71/24.98 [0, 2] ->= [2, 1, 1] 98.71/24.98 lhs rhs ge gt 98.71/24.98 Wk / - - - 0A \ Wk / - - - 0A \ True False 98.71/24.98 | - - - 5A | | - - - - | 98.71/24.98 | - - - 0A | | - - - 0A | 98.71/24.98 \ - - - 0A / \ - - - 0A / 98.71/24.98 [1, 2] ->= [2, 0, 0] 98.71/24.98 lhs rhs ge gt 98.71/24.98 Wk / - - - 2A \ Wk / - - - 0A \ True True 98.71/24.98 | - - - 1A | | - - - - | 98.71/24.98 | - - - 3A | | - - - 0A | 98.71/24.98 \ - - - 0A / \ - - - 0A / 98.71/24.98 [1, 1, 1] ->= [0, 1, 1] 98.71/24.98 lhs rhs ge gt 98.71/24.98 Wk / 6A 4A 6A 7A \ Wk / 4A 2A 4A 5A \ True False 98.71/24.98 | 5A 3A 5A 6A | | 5A 3A 5A 6A | 98.71/24.98 | 6A 4A 6A 7A | | 4A 2A 4A 5A | 98.71/24.98 \ - - - 0A / \ - - - 0A / 98.71/24.98 property Termination 98.71/24.98 has value True 98.71/24.98 for SRS ( [4, 1, 1] |-> [3, 1, 1], [4, 1] |-> [3, 1], [4, 1] |-> [4, 0, 1], [0, 0, 0] ->= [1], [1, 1] ->= [1, 0, 1], [0, 2] ->= [2, 1, 1], [1, 2] ->= [2, 0, 0], [1, 1, 1] ->= [0, 1, 1]) 98.71/24.98 reason 98.71/24.98 weights 98.71/24.98 Map [(4, 2/1)] 98.71/24.98 98.71/24.98 property Termination 98.71/24.98 has value True 98.71/24.98 for SRS ( [4, 1] |-> [4, 0, 1], [0, 0, 0] ->= [1], [1, 1] ->= [1, 0, 1], [0, 2] ->= [2, 1, 1], [1, 2] ->= [2, 0, 0], [1, 1, 1] ->= [0, 1, 1]) 98.71/24.98 reason 98.71/24.98 EDG has 1 SCCs 98.71/24.98 property Termination 98.71/24.98 has value True 98.71/24.98 for SRS ( [4, 1] |-> [4, 0, 1], [0, 0, 0] ->= [1], [1, 1] ->= [1, 0, 1], [0, 2] ->= [2, 1, 1], [1, 2] ->= [2, 0, 0], [1, 1, 1] ->= [0, 1, 1]) 98.71/24.98 reason 98.71/24.98 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 98.71/24.98 interpretation 98.71/24.98 0 Wk / - 0A - 0A \ 98.71/24.98 | 0A 1A - 1A | 98.71/24.98 | 4A 5A 1A 4A | 98.71/24.98 \ - - - 0A / 98.71/24.98 1 Wk / 1A 1A - 1A \ 98.71/24.98 | 0A 0A - - | 98.71/24.98 | 4A 1A - 1A | 98.71/24.98 \ - - - 0A / 98.71/24.98 2 Wk / - - - 4A \ 98.71/24.98 | - - - 5A | 98.71/24.98 | - - - - | 98.71/24.98 \ - - - 0A / 98.71/24.98 4 Wk / 5A - - 3A \ 98.71/24.98 | - - - - | 98.71/24.98 | - - - - | 98.71/24.98 \ - - - 0A / 98.71/24.98 [4, 1] |-> [4, 0, 1] 98.71/24.98 lhs rhs ge gt 98.71/24.98 Wk / 6A 6A - 6A \ Wk / 5A 5A - 5A \ True True 98.71/24.98 | - - - - | | - - - - | 98.71/24.98 | - - - - | | - - - - | 98.71/24.98 \ - - - 0A / \ - - - 0A / 98.71/24.98 [0, 0, 0] ->= [1] 98.71/24.99 lhs rhs ge gt 98.71/24.99 Wk / 1A 2A - 2A \ Wk / 1A 1A - 1A \ True False 98.71/24.99 | 2A 3A - 3A | | 0A 0A - - | 98.71/24.99 | 6A 7A 3A 7A | | 4A 1A - 1A | 98.71/24.99 \ - - - 0A / \ - - - 0A / 98.71/24.99 [1, 1] ->= [1, 0, 1] 98.71/24.99 lhs rhs ge gt 98.71/24.99 Wk / 2A 2A - 2A \ Wk / 2A 2A - 2A \ True False 98.71/24.99 | 1A 1A - 1A | | 1A 1A - 1A | 98.71/24.99 | 5A 5A - 5A | | 4A 4A - 4A | 98.71/24.99 \ - - - 0A / \ - - - 0A / 98.71/24.99 [0, 2] ->= [2, 1, 1] 98.71/24.99 lhs rhs ge gt 98.71/24.99 Wk / - - - 5A \ Wk / - - - 4A \ True True 98.71/24.99 | - - - 6A | | - - - 5A | 98.71/24.99 | - - - 10A | | - - - - | 98.71/24.99 \ - - - 0A / \ - - - 0A / 98.71/24.99 [1, 2] ->= [2, 0, 0] 98.71/24.99 lhs rhs ge gt 98.71/24.99 Wk / - - - 6A \ Wk / - - - 4A \ True False 98.71/24.99 | - - - 5A | | - - - 5A | 98.71/24.99 | - - - 8A | | - - - - | 98.71/24.99 \ - - - 0A / \ - - - 0A / 98.71/24.99 [1, 1, 1] ->= [0, 1, 1] 98.71/24.99 lhs rhs ge gt 98.71/25.00 Wk / 3A 3A - 3A \ Wk / 1A 1A - 1A \ True False 98.71/25.00 | 2A 2A - 2A | | 2A 2A - 2A | 98.71/25.00 | 6A 6A - 6A | | 6A 6A - 6A | 98.71/25.00 \ - - - 0A / \ - - - 0A / 98.71/25.00 property Termination 98.71/25.00 has value True 98.71/25.00 for SRS ( [0, 0, 0] ->= [1], [1, 1] ->= [1, 0, 1], [0, 2] ->= [2, 1, 1], [1, 2] ->= [2, 0, 0], [1, 1, 1] ->= [0, 1, 1]) 98.71/25.00 reason 98.71/25.00 EDG has 0 SCCs 98.71/25.00 98.71/25.00 ************************************************** 98.71/25.00 summary 98.71/25.00 ************************************************** 98.71/25.00 SRS with 5 rules on 3 letters Remap { tracing = False} 98.71/25.00 SRS with 5 rules on 3 letters DP transform 98.71/25.00 SRS with 13 rules on 5 letters Remap { tracing = False} 98.71/25.00 SRS with 13 rules on 5 letters weights 98.71/25.00 SRS with 9 rules on 5 letters EDG 98.71/25.00 SRS with 9 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 98.71/25.00 SRS with 8 rules on 5 letters weights 98.71/25.00 SRS with 6 rules on 4 letters EDG 98.71/25.00 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 98.71/25.00 SRS with 5 rules on 3 letters EDG 98.71/25.00 98.71/25.00 ************************************************** 98.71/25.00 (5, 3)\Deepee(13, 5)\Weight(9, 5)\Matrix{\Arctic}{4}(8, 5)\Weight(6, 4)\Matrix{\Arctic}{4}(5, 3)\EDG[] 98.71/25.00 ************************************************** 98.71/25.02 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]} 98.71/25.02 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 99.17/25.21 EOF