70.72/17.88 YES 70.72/17.88 property Termination 70.72/17.88 has value True 70.72/17.88 for SRS ( [a, a, b, b] -> [b, b, c, c, a, a], [b, b, c, c] -> [c, c, b, b, b, b], [b, b, a, a] -> [a, a, c, c, b, b]) 70.72/17.88 reason 70.72/17.88 remap for 3 rules 70.72/17.88 property Termination 70.72/17.88 has value True 70.72/17.88 for SRS ( [0, 0, 1, 1] -> [1, 1, 2, 2, 0, 0], [1, 1, 2, 2] -> [2, 2, 1, 1, 1, 1], [1, 1, 0, 0] -> [0, 0, 2, 2, 1, 1]) 70.72/17.88 reason 70.72/17.88 DP transform 70.72/17.88 property Termination 70.72/17.88 has value True 70.72/17.88 for SRS ( [0, 0, 1, 1] ->= [1, 1, 2, 2, 0, 0], [1, 1, 2, 2] ->= [2, 2, 1, 1, 1, 1], [1, 1, 0, 0] ->= [0, 0, 2, 2, 1, 1], [0#, 0, 1, 1] |-> [1#, 1, 2, 2, 0, 0], [0#, 0, 1, 1] |-> [1#, 2, 2, 0, 0], [0#, 0, 1, 1] |-> [0#, 0], [0#, 0, 1, 1] |-> [0#], [1#, 1, 2, 2] |-> [1#, 1, 1, 1], [1#, 1, 2, 2] |-> [1#, 1, 1], [1#, 1, 2, 2] |-> [1#, 1], [1#, 1, 2, 2] |-> [1#], [1#, 1, 0, 0] |-> [0#, 0, 2, 2, 1, 1], [1#, 1, 0, 0] |-> [0#, 2, 2, 1, 1], [1#, 1, 0, 0] |-> [1#, 1], [1#, 1, 0, 0] |-> [1#]) 70.72/17.88 reason 70.72/17.88 remap for 15 rules 70.72/17.88 property Termination 70.72/17.88 has value True 70.72/17.88 for SRS ( [0, 0, 1, 1] ->= [1, 1, 2, 2, 0, 0], [1, 1, 2, 2] ->= [2, 2, 1, 1, 1, 1], [1, 1, 0, 0] ->= [0, 0, 2, 2, 1, 1], [3, 0, 1, 1] |-> [4, 1, 2, 2, 0, 0], [3, 0, 1, 1] |-> [4, 2, 2, 0, 0], [3, 0, 1, 1] |-> [3, 0], [3, 0, 1, 1] |-> [3], [4, 1, 2, 2] |-> [4, 1, 1, 1], [4, 1, 2, 2] |-> [4, 1, 1], [4, 1, 2, 2] |-> [4, 1], [4, 1, 2, 2] |-> [4], [4, 1, 0, 0] |-> [3, 0, 2, 2, 1, 1], [4, 1, 0, 0] |-> [3, 2, 2, 1, 1], [4, 1, 0, 0] |-> [4, 1], [4, 1, 0, 0] |-> [4]) 70.72/17.88 reason 70.72/17.89 weights 70.72/17.89 Map [(0, 1/6), (3, 1/6)] 70.72/17.89 70.72/17.89 property Termination 70.72/17.89 has value True 70.72/17.89 for SRS ( [0, 0, 1, 1] ->= [1, 1, 2, 2, 0, 0], [1, 1, 2, 2] ->= [2, 2, 1, 1, 1, 1], [1, 1, 0, 0] ->= [0, 0, 2, 2, 1, 1], [3, 0, 1, 1] |-> [4, 1, 2, 2, 0, 0], [3, 0, 1, 1] |-> [4, 2, 2, 0, 0], [3, 0, 1, 1] |-> [3, 0], [4, 1, 2, 2] |-> [4, 1, 1, 1], [4, 1, 2, 2] |-> [4, 1, 1], [4, 1, 2, 2] |-> [4, 1], [4, 1, 2, 2] |-> [4], [4, 1, 0, 0] |-> [3, 0, 2, 2, 1, 1]) 70.72/17.89 reason 70.72/17.89 EDG has 2 SCCs 70.72/17.89 property Termination 70.72/17.89 has value True 70.72/17.89 for SRS ( [3, 0, 1, 1] |-> [3, 0], [0, 0, 1, 1] ->= [1, 1, 2, 2, 0, 0], [1, 1, 2, 2] ->= [2, 2, 1, 1, 1, 1], [1, 1, 0, 0] ->= [0, 0, 2, 2, 1, 1]) 70.72/17.89 reason 70.72/17.89 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 70.72/17.89 interpretation 70.72/17.89 0 Wk / - 0A - 0A \ 70.72/17.89 | 1A 0A - 1A | 70.72/17.89 | 0A 0A - 3A | 70.72/17.89 \ - - - 0A / 70.72/17.89 1 Wk / 1A 0A - 4A \ 70.72/17.89 | - - 0A 1A | 70.72/17.89 | - 0A - - | 70.72/17.89 \ - - - 0A / 70.72/17.89 2 Wk / - - - 0A \ 70.72/17.89 | 0A - - - | 70.72/17.89 | - - 0A 4A | 70.72/17.89 \ - - - 0A / 70.72/17.89 3 Wk / 0A 0A 0A - \ 70.72/17.89 | - - - - | 70.72/17.89 | - - - - | 70.72/17.89 \ - - - 0A / 70.72/17.89 [3, 0, 1, 1] |-> [3, 0] 70.72/17.89 lhs rhs ge gt 70.72/17.89 Wk / 3A 2A 1A 6A \ Wk / 1A 0A - 3A \ True True 70.72/17.89 | - - - - | | - - - - | 70.72/17.89 | - - - - | | - - - - | 70.72/17.89 \ - - - 0A / \ - - - 0A / 70.72/17.89 [0, 0, 1, 1] ->= [1, 1, 2, 2, 0, 0] 70.72/17.89 lhs rhs ge gt 70.72/17.89 Wk / 3A 2A 1A 6A \ Wk / 1A 0A - 5A \ True True 70.72/17.89 | 3A 2A 1A 6A | | - - - 1A | 70.72/17.89 | 3A 2A 1A 6A | | 1A 0A - 4A | 70.72/17.89 \ - - - 0A / \ - - - 0A / 70.72/17.89 [1, 1, 2, 2] ->= [2, 2, 1, 1, 1, 1] 70.72/17.89 lhs rhs ge gt 70.72/17.89 Wk / - - 0A 5A \ Wk / - - - 0A \ True False 70.72/17.89 | - - - 1A | | - - - 0A | 70.72/17.89 | - - 0A 4A | | - - 0A 4A | 70.72/17.89 \ - - - 0A / \ - - - 0A / 70.72/17.89 [1, 1, 0, 0] ->= [0, 0, 2, 2, 1, 1] 70.72/17.89 lhs rhs ge gt 70.72/17.89 Wk / 3A 2A - 5A \ Wk / - - - 1A \ True False 70.72/17.89 | 1A 1A - 1A | | - - - 1A | 70.72/17.89 | 1A 0A - 3A | | - - - 3A | 70.72/17.89 \ - - - 0A / \ - - - 0A / 70.72/17.89 property Termination 70.72/17.89 has value True 70.72/17.89 for SRS ( [0, 0, 1, 1] ->= [1, 1, 2, 2, 0, 0], [1, 1, 2, 2] ->= [2, 2, 1, 1, 1, 1], [1, 1, 0, 0] ->= [0, 0, 2, 2, 1, 1]) 70.72/17.89 reason 70.72/17.89 EDG has 0 SCCs 70.72/17.89 70.72/17.89 property Termination 70.72/17.89 has value True 70.72/17.89 for SRS ( [4, 1, 2, 2] |-> [4, 1, 1, 1], [4, 1, 2, 2] |-> [4], [4, 1, 2, 2] |-> [4, 1], [4, 1, 2, 2] |-> [4, 1, 1], [0, 0, 1, 1] ->= [1, 1, 2, 2, 0, 0], [1, 1, 2, 2] ->= [2, 2, 1, 1, 1, 1], [1, 1, 0, 0] ->= [0, 0, 2, 2, 1, 1]) 70.72/17.89 reason 70.72/17.89 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 70.72/17.89 interpretation 70.72/17.89 0 Wk / - - 0A 1A \ 70.72/17.89 | 0A - - - | 70.72/17.89 | - 0A 0A - | 70.72/17.89 \ - - - 0A / 70.72/17.89 1 Wk / 0A 1A 0A 4A \ 70.72/17.89 | - 0A - - | 70.72/17.89 | 1A - 3A 2A | 70.72/17.89 \ - - - 0A / 70.72/17.89 2 Wk / - - 4A 1A \ 70.72/17.89 | - 1A - 0A | 70.72/17.89 | - - - - | 70.72/17.89 \ - - - 0A / 70.72/17.89 4 Wk / - 3A - 2A \ 70.72/17.89 | - 5A - 2A | 70.72/17.89 | - 5A - 0A | 70.72/17.89 \ - - - 0A / 70.72/17.89 [4, 1, 2, 2] |-> [4, 1, 1, 1] 70.72/17.89 lhs rhs ge gt 70.72/17.89 Wk / - 5A - 4A \ Wk / - 3A - 2A \ True True 70.72/17.89 | - 7A - 6A | | - 5A - 2A | 70.72/17.89 | - 7A - 6A | | - 5A - 0A | 70.72/17.89 \ - - - 0A / \ - - - 0A / 70.72/17.89 [4, 1, 2, 2] |-> [4] 70.72/17.89 lhs rhs ge gt 70.72/17.89 Wk / - 5A - 4A \ Wk / - 3A - 2A \ True True 70.72/17.89 | - 7A - 6A | | - 5A - 2A | 70.72/17.89 | - 7A - 6A | | - 5A - 0A | 70.72/17.89 \ - - - 0A / \ - - - 0A / 70.72/17.89 [4, 1, 2, 2] |-> [4, 1] 70.72/17.90 lhs rhs ge gt 70.72/17.90 Wk / - 5A - 4A \ Wk / - 3A - 2A \ True True 70.72/17.90 | - 7A - 6A | | - 5A - 2A | 70.72/17.90 | - 7A - 6A | | - 5A - 0A | 70.72/17.90 \ - - - 0A / \ - - - 0A / 70.72/17.90 [4, 1, 2, 2] |-> [4, 1, 1] 70.72/17.90 lhs rhs ge gt 70.72/17.90 Wk / - 5A - 4A \ Wk / - 3A - 2A \ True True 70.72/17.90 | - 7A - 6A | | - 5A - 2A | 70.72/17.90 | - 7A - 6A | | - 5A - 0A | 70.72/17.90 \ - - - 0A / \ - - - 0A / 70.72/17.90 [0, 0, 1, 1] ->= [1, 1, 2, 2, 0, 0] 70.72/17.90 lhs rhs ge gt 70.72/17.90 Wk / 4A 2A 6A 5A \ Wk / - - 3A 4A \ True False 70.72/17.90 | 4A 2A 6A 5A | | - - 2A 3A | 70.72/17.90 | 4A 2A 6A 5A | | - - 4A 5A | 70.72/17.90 \ - - - 0A / \ - - - 0A / 70.72/17.90 [1, 1, 2, 2] ->= [2, 2, 1, 1, 1, 1] 70.72/17.90 lhs rhs ge gt 70.72/17.90 Wk / - 3A - 4A \ Wk / - - - 1A \ True False 70.72/17.90 | - 2A - 1A | | - 2A - 1A | 70.72/17.90 | - 4A - 5A | | - - - - | 70.72/17.90 \ - - - 0A / \ - - - 0A / 70.72/17.90 [1, 1, 0, 0] ->= [0, 0, 2, 2, 1, 1] 70.72/17.90 lhs rhs ge gt 70.72/17.90 Wk / 3A 3A 3A 4A \ Wk / - 2A - 1A \ True False 70.72/17.90 | - - 0A 1A | | - - - 1A | 70.72/17.90 | 6A 6A 6A 5A | | - 2A - 1A | 70.72/17.90 \ - - - 0A / \ - - - 0A / 70.72/17.90 property Termination 70.72/17.90 has value True 70.72/17.90 for SRS ( [0, 0, 1, 1] ->= [1, 1, 2, 2, 0, 0], [1, 1, 2, 2] ->= [2, 2, 1, 1, 1, 1], [1, 1, 0, 0] ->= [0, 0, 2, 2, 1, 1]) 70.72/17.90 reason 70.72/17.90 EDG has 0 SCCs 70.72/17.90 70.72/17.90 ************************************************** 70.72/17.90 summary 70.72/17.90 ************************************************** 70.72/17.90 SRS with 3 rules on 3 letters Remap { tracing = False} 70.72/17.90 SRS with 3 rules on 3 letters DP transform 70.72/17.90 SRS with 15 rules on 5 letters Remap { tracing = False} 70.72/17.90 SRS with 15 rules on 5 letters weights 70.72/17.90 SRS with 11 rules on 5 letters EDG 70.72/17.90 2 sub-proofs 70.72/17.90 1 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 70.72/17.90 SRS with 3 rules on 3 letters EDG 70.72/17.90 70.72/17.90 2 SRS with 7 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 70.72/17.90 SRS with 3 rules on 3 letters EDG 70.72/17.90 70.72/17.90 ************************************************** 70.72/17.90 (3, 3)\Deepee(15, 5)\Weight(11, 5)\EDG[(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[],(7, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[]] 70.72/17.90 ************************************************** 70.72/17.92 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]} 70.72/17.92 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 71.04/18.12 EOF