38.01/9.66 YES 38.01/9.66 property Termination 38.01/9.66 has value True 38.01/9.66 for SRS ( [a] -> [], [a, b] -> [b, c, a], [c] -> [b], [c, c] -> [a, c]) 38.01/9.66 reason 38.01/9.66 remap for 4 rules 38.01/9.66 property Termination 38.01/9.66 has value True 38.01/9.66 for SRS ( [0] -> [], [0, 1] -> [1, 2, 0], [2] -> [1], [2, 2] -> [0, 2]) 38.01/9.66 reason 38.01/9.66 reverse each lhs and rhs 38.01/9.66 property Termination 38.01/9.66 has value True 38.01/9.66 for SRS ( [0] -> [], [1, 0] -> [0, 2, 1], [2] -> [1], [2, 2] -> [2, 0]) 38.01/9.66 reason 38.01/9.66 DP transform 38.01/9.66 property Termination 38.01/9.66 has value True 38.01/9.66 for SRS ( [0] ->= [], [1, 0] ->= [0, 2, 1], [2] ->= [1], [2, 2] ->= [2, 0], [1#, 0] |-> [0#, 2, 1], [1#, 0] |-> [2#, 1], [1#, 0] |-> [1#], [2#] |-> [1#], [2#, 2] |-> [2#, 0], [2#, 2] |-> [0#]) 38.01/9.66 reason 38.01/9.66 remap for 10 rules 38.01/9.66 property Termination 38.01/9.66 has value True 38.01/9.66 for SRS ( [0] ->= [], [1, 0] ->= [0, 2, 1], [2] ->= [1], [2, 2] ->= [2, 0], [3, 0] |-> [4, 2, 1], [3, 0] |-> [5, 1], [3, 0] |-> [3], [5] |-> [3], [5, 2] |-> [5, 0], [5, 2] |-> [4]) 38.01/9.66 reason 38.01/9.66 weights 38.01/9.66 Map [(3, 1/2), (5, 1/2)] 38.01/9.66 38.01/9.66 property Termination 38.01/9.66 has value True 38.01/9.66 for SRS ( [0] ->= [], [1, 0] ->= [0, 2, 1], [2] ->= [1], [2, 2] ->= [2, 0], [3, 0] |-> [5, 1], [3, 0] |-> [3], [5] |-> [3], [5, 2] |-> [5, 0]) 38.01/9.66 reason 38.01/9.66 EDG has 1 SCCs 38.01/9.66 property Termination 38.01/9.66 has value True 38.01/9.66 for SRS ( [3, 0] |-> [5, 1], [5, 2] |-> [5, 0], [5] |-> [3], [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [0, 2, 1], [2] ->= [1], [2, 2] ->= [2, 0]) 38.01/9.66 reason 38.01/9.66 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 38.01/9.66 interpretation 38.25/9.69 0 / 2A 2A \ 38.25/9.69 \ 0A 0A / 38.25/9.69 1 / 0A 0A \ 38.25/9.69 \ -2A -2A / 38.25/9.69 2 / 0A 2A \ 38.25/9.69 \ 0A 2A / 38.25/9.69 3 / 1A 3A \ 38.25/9.69 \ 1A 3A / 38.25/9.69 5 / 1A 3A \ 38.25/9.69 \ 1A 3A / 38.25/9.69 [3, 0] |-> [5, 1] 38.25/9.69 lhs rhs ge gt 38.25/9.69 / 3A 3A \ / 1A 1A \ True True 38.25/9.69 \ 3A 3A / \ 1A 1A / 38.25/9.69 [5, 2] |-> [5, 0] 38.25/9.69 lhs rhs ge gt 38.25/9.69 / 3A 5A \ / 3A 3A \ True False 38.25/9.69 \ 3A 5A / \ 3A 3A / 38.25/9.69 [5] |-> [3] 38.25/9.69 lhs rhs ge gt 38.25/9.69 / 1A 3A \ / 1A 3A \ True False 38.25/9.69 \ 1A 3A / \ 1A 3A / 38.25/9.69 [3, 0] |-> [3] 38.25/9.69 lhs rhs ge gt 38.25/9.69 / 3A 3A \ / 1A 3A \ True False 38.25/9.69 \ 3A 3A / \ 1A 3A / 38.25/9.69 [0] ->= [] 38.25/9.69 lhs rhs ge gt 38.25/9.69 / 2A 2A \ / 0A - \ True False 38.25/9.69 \ 0A 0A / \ - 0A / 38.25/9.69 [1, 0] ->= [0, 2, 1] 38.25/9.69 lhs rhs ge gt 38.25/9.69 / 2A 2A \ / 2A 2A \ True False 38.25/9.69 \ 0A 0A / \ 0A 0A / 38.25/9.69 [2] ->= [1] 38.25/9.69 lhs rhs ge gt 38.25/9.69 / 0A 2A \ / 0A 0A \ True False 38.25/9.69 \ 0A 2A / \ -2A -2A / 38.25/9.69 [2, 2] ->= [2, 0] 38.25/9.69 lhs rhs ge gt 38.25/9.69 / 2A 4A \ / 2A 2A \ True False 38.25/9.69 \ 2A 4A / \ 2A 2A / 38.25/9.69 property Termination 38.25/9.69 has value True 38.25/9.69 for SRS ( [5, 2] |-> [5, 0], [5] |-> [3], [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [0, 2, 1], [2] ->= [1], [2, 2] ->= [2, 0]) 38.25/9.69 reason 38.25/9.69 weights 38.25/9.69 Map [(5, 1/1)] 38.25/9.69 38.25/9.69 property Termination 38.25/9.69 has value True 38.25/9.69 for SRS ( [5, 2] |-> [5, 0], [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [0, 2, 1], [2] ->= [1], [2, 2] ->= [2, 0]) 38.25/9.69 reason 38.25/9.69 EDG has 2 SCCs 38.25/9.69 property Termination 38.25/9.69 has value True 38.25/9.69 for SRS ( [5, 2] |-> [5, 0], [0] ->= [], [1, 0] ->= [0, 2, 1], [2] ->= [1], [2, 2] ->= [2, 0]) 38.25/9.69 reason 38.25/9.69 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 38.25/9.69 interpretation 38.25/9.69 0 Wk / 0A 1A 0A - \ 38.25/9.69 | 0A 1A - 4A | 38.25/9.69 | - 0A 0A - | 38.25/9.69 \ - - - 0A / 38.25/9.69 1 Wk / - 0A - 1A \ 38.25/9.69 | - 0A - - | 38.25/9.69 | - 0A - 3A | 38.25/9.69 \ - - - 0A / 38.25/9.69 2 Wk / - 1A 1A 4A \ 38.25/9.69 | 0A 0A - - | 38.25/9.69 | 0A 1A 1A 4A | 38.25/9.69 \ - - - 0A / 38.25/9.71 5 Wk / 2A - 6A - \ 38.25/9.71 | - - - - | 38.25/9.71 | - - - - | 38.25/9.71 \ - - - 0A / 38.25/9.71 [5, 2] |-> [5, 0] 38.25/9.71 lhs rhs ge gt 38.25/9.71 Wk / 6A 7A 7A 10A \ Wk / 2A 6A 6A - \ True True 38.25/9.71 | - - - - | | - - - - | 38.25/9.71 | - - - - | | - - - - | 38.25/9.71 \ - - - 0A / \ - - - 0A / 38.25/9.71 [0] ->= [] 38.25/9.71 lhs rhs ge gt 38.25/9.71 Wk / 0A 1A 0A - \ Wk / 0A - - - \ True False 38.25/9.71 | 0A 1A - 4A | | - 0A - - | 38.25/9.71 | - 0A 0A - | | - - 0A - | 38.25/9.71 \ - - - 0A / \ - - - 0A / 38.25/9.72 [1, 0] ->= [0, 2, 1] 38.25/9.72 lhs rhs ge gt 38.25/9.72 Wk / 0A 1A - 4A \ Wk / - 1A - 4A \ True False 38.25/9.72 | 0A 1A - 4A | | - 1A - 4A | 38.25/9.72 | 0A 1A - 4A | | - 1A - 4A | 38.25/9.72 \ - - - 0A / \ - - - 0A / 38.25/9.72 [2] ->= [1] 38.25/9.72 lhs rhs ge gt 38.25/9.72 Wk / - 1A 1A 4A \ Wk / - 0A - 1A \ True False 38.25/9.72 | 0A 0A - - | | - 0A - - | 38.25/9.72 | 0A 1A 1A 4A | | - 0A - 3A | 38.25/9.72 \ - - - 0A / \ - - - 0A / 38.25/9.72 [2, 2] ->= [2, 0] 38.25/9.73 lhs rhs ge gt 38.25/9.73 Wk / 1A 2A 2A 5A \ Wk / 1A 2A 1A 5A \ True False 38.25/9.73 | 0A 1A 1A 4A | | 0A 1A 0A 4A | 38.25/9.73 | 1A 2A 2A 5A | | 1A 2A 1A 5A | 38.25/9.73 \ - - - 0A / \ - - - 0A / 38.25/9.73 property Termination 38.25/9.73 has value True 38.25/9.73 for SRS ( [0] ->= [], [1, 0] ->= [0, 2, 1], [2] ->= [1], [2, 2] ->= [2, 0]) 38.25/9.73 reason 38.25/9.73 EDG has 0 SCCs 38.25/9.73 38.25/9.73 property Termination 38.25/9.73 has value True 38.25/9.73 for SRS ( [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [0, 2, 1], [2] ->= [1], [2, 2] ->= [2, 0]) 38.25/9.73 reason 38.25/9.73 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 38.25/9.73 interpretation 38.25/9.73 0 / 2A 2A \ 38.25/9.73 \ 0A 0A / 38.25/9.73 1 / 0A 0A \ 38.25/9.73 \ -2A -2A / 38.25/9.73 2 / 0A 2A \ 38.25/9.73 \ 0A 2A / 38.25/9.73 3 / 16A 16A \ 38.25/9.73 \ 16A 16A / 38.25/9.73 [3, 0] |-> [3] 38.25/9.73 lhs rhs ge gt 38.25/9.73 / 18A 18A \ / 16A 16A \ True True 38.25/9.73 \ 18A 18A / \ 16A 16A / 38.25/9.74 [0] ->= [] 38.25/9.74 lhs rhs ge gt 38.25/9.74 / 2A 2A \ / 0A - \ True False 38.25/9.74 \ 0A 0A / \ - 0A / 38.25/9.74 [1, 0] ->= [0, 2, 1] 38.25/9.74 lhs rhs ge gt 38.25/9.74 / 2A 2A \ / 2A 2A \ True False 38.25/9.74 \ 0A 0A / \ 0A 0A / 38.25/9.74 [2] ->= [1] 38.25/9.74 lhs rhs ge gt 38.25/9.74 / 0A 2A \ / 0A 0A \ True False 38.25/9.74 \ 0A 2A / \ -2A -2A / 38.25/9.74 [2, 2] ->= [2, 0] 38.25/9.74 lhs rhs ge gt 38.25/9.74 / 2A 4A \ / 2A 2A \ True False 38.25/9.74 \ 2A 4A / \ 2A 2A / 38.59/9.76 property Termination 38.59/9.76 has value True 38.59/9.76 for SRS ( [0] ->= [], [1, 0] ->= [0, 2, 1], [2] ->= [1], [2, 2] ->= [2, 0]) 38.59/9.76 reason 38.59/9.76 EDG has 0 SCCs 38.59/9.76 38.59/9.76 ************************************************** 38.59/9.76 summary 38.59/9.76 ************************************************** 38.59/9.76 SRS with 4 rules on 3 letters Remap { tracing = False} 38.59/9.76 SRS with 4 rules on 3 letters reverse each lhs and rhs 38.59/9.76 SRS with 4 rules on 3 letters DP transform 38.59/9.76 SRS with 10 rules on 6 letters Remap { tracing = False} 38.59/9.76 SRS with 10 rules on 6 letters weights 38.59/9.76 SRS with 8 rules on 5 letters EDG 38.59/9.76 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 38.59/9.76 SRS with 7 rules on 5 letters weights 38.59/9.76 SRS with 6 rules on 5 letters EDG 38.59/9.76 2 sub-proofs 38.59/9.76 1 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 38.59/9.76 SRS with 4 rules on 3 letters EDG 38.59/9.76 38.59/9.76 2 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 38.59/9.76 SRS with 4 rules on 3 letters EDG 38.59/9.76 38.59/9.76 ************************************************** 38.59/9.76 (4, 3)\Deepee(10, 6)\Weight(8, 5)\Matrix{\Arctic}{2}(7, 5)\Weight(6, 5)\EDG[(5, 4)\Matrix{\Arctic}{4}(4, 3)\EDG[],(5, 4)\Matrix{\Arctic}{2}(4, 3)\EDG[]] 38.59/9.76 ************************************************** 39.48/9.99 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]} 39.48/10.00 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 39.96/10.12 EOF