123.23/31.10 YES 123.23/31.10 property Termination 123.23/31.10 has value True 123.23/31.10 for SRS ( [a, a, a] -> [b], [b, b] -> [a, a], [a, a] -> [a, b, a]) 123.23/31.10 reason 123.23/31.10 remap for 3 rules 123.23/31.10 property Termination 123.23/31.10 has value True 123.23/31.10 for SRS ( [0, 0, 0] -> [1], [1, 1] -> [0, 0], [0, 0] -> [0, 1, 0]) 123.23/31.10 reason 123.23/31.10 DP transform 123.23/31.10 property Termination 123.23/31.10 has value True 123.23/31.10 for SRS ( [0, 0, 0] ->= [1], [1, 1] ->= [0, 0], [0, 0] ->= [0, 1, 0], [0#, 0, 0] |-> [1#], [1#, 1] |-> [0#, 0], [1#, 1] |-> [0#], [0#, 0] |-> [0#, 1, 0], [0#, 0] |-> [1#, 0]) 123.23/31.11 reason 123.23/31.11 remap for 8 rules 123.23/31.11 property Termination 123.23/31.11 has value True 123.23/31.11 for SRS ( [0, 0, 0] ->= [1], [1, 1] ->= [0, 0], [0, 0] ->= [0, 1, 0], [2, 0, 0] |-> [3], [3, 1] |-> [2, 0], [3, 1] |-> [2], [2, 0] |-> [2, 1, 0], [2, 0] |-> [3, 0]) 123.23/31.11 reason 123.23/31.11 EDG has 1 SCCs 123.23/31.11 property Termination 123.23/31.11 has value True 123.23/31.11 for SRS ( [2, 0, 0] |-> [3], [3, 1] |-> [2], [2, 0] |-> [3, 0], [3, 1] |-> [2, 0], [2, 0] |-> [2, 1, 0], [0, 0, 0] ->= [1], [1, 1] ->= [0, 0], [0, 0] ->= [0, 1, 0]) 123.23/31.11 reason 123.23/31.11 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 123.23/31.11 interpretation 123.23/31.11 0 Wk / 2A 4A 2A 3A \ 123.23/31.11 | 0A 2A - 1A | 123.23/31.11 | - 0A - - | 123.23/31.11 \ - - - 0A / 123.23/31.11 1 Wk / 0A - 4A 0A \ 123.23/31.11 | - - 2A - | 123.23/31.11 | 0A 2A 2A 1A | 123.23/31.11 \ - - - 0A / 123.23/31.11 2 Wk / 0A 0A 0A 2A \ 123.23/31.11 | - - - - | 123.23/31.11 | - 0A - 2A | 123.23/31.11 \ - - - 0A / 123.23/31.11 3 Wk / - 1A 2A 2A \ 123.23/31.11 | - - - - | 123.23/31.11 | - 0A 2A 1A | 123.23/31.11 \ - - - 0A / 123.23/31.11 [2, 0, 0] |-> [3] 123.23/31.13 lhs rhs ge gt 123.23/31.13 Wk / 4A 6A 4A 5A \ Wk / - 1A 2A 2A \ True False 123.23/31.13 | - - - - | | - - - - | 123.23/31.13 | 2A 4A 2A 3A | | - 0A 2A 1A | 123.23/31.13 \ - - - 0A / \ - - - 0A / 123.23/31.13 [3, 1] |-> [2] 123.23/31.16 lhs rhs ge gt 123.23/31.16 Wk / 2A 4A 4A 3A \ Wk / 0A 0A 0A 2A \ True True 123.23/31.16 | - - - - | | - - - - | 123.23/31.16 | 2A 4A 4A 3A | | - 0A - 2A | 123.23/31.16 \ - - - 0A / \ - - - 0A / 123.23/31.16 [2, 0] |-> [3, 0] 123.23/31.17 lhs rhs ge gt 123.23/31.17 Wk / 2A 4A 2A 3A \ Wk / 1A 3A - 2A \ True False 123.23/31.17 | - - - - | | - - - - | 123.23/31.17 | 0A 2A - 2A | | 0A 2A - 1A | 123.23/31.17 \ - - - 0A / \ - - - 0A / 123.23/31.17 [3, 1] |-> [2, 0] 123.61/31.21 lhs rhs ge gt 123.61/31.21 Wk / 2A 4A 4A 3A \ Wk / 2A 4A 2A 3A \ True False 123.61/31.21 | - - - - | | - - - - | 123.61/31.21 | 2A 4A 4A 3A | | 0A 2A - 2A | 123.61/31.21 \ - - - 0A / \ - - - 0A / 123.61/31.21 [2, 0] |-> [2, 1, 0] 123.61/31.24 lhs rhs ge gt 123.61/31.25 Wk / 2A 4A 2A 3A \ Wk / 2A 4A 2A 3A \ True False 123.61/31.25 | - - - - | | - - - - | 123.61/31.25 | 0A 2A - 2A | | - 2A - 2A | 123.61/31.25 \ - - - 0A / \ - - - 0A / 123.61/31.25 [0, 0, 0] ->= [1] 123.61/31.29 lhs rhs ge gt 123.61/31.29 Wk / 6A 8A 6A 7A \ Wk / 0A - 4A 0A \ True False 123.61/31.29 | 4A 6A 4A 5A | | - - 2A - | 123.61/31.29 | 2A 4A 2A 3A | | 0A 2A 2A 1A | 123.61/31.29 \ - - - 0A / \ - - - 0A / 123.61/31.29 [1, 1] ->= [0, 0] 123.61/31.29 lhs rhs ge gt 123.61/31.29 Wk / 4A 6A 6A 5A \ Wk / 4A 6A 4A 5A \ True False 123.61/31.30 | 2A 4A 4A 3A | | 2A 4A 2A 3A | 123.61/31.30 | 2A 4A 4A 3A | | 0A 2A - 1A | 123.61/31.30 \ - - - 0A / \ - - - 0A / 123.61/31.30 [0, 0] ->= [0, 1, 0] 123.61/31.30 lhs rhs ge gt 123.91/31.30 Wk / 4A 6A 4A 5A \ Wk / 4A 6A 4A 5A \ True False 123.91/31.30 | 2A 4A 2A 3A | | 2A 4A 2A 3A | 123.91/31.30 | 0A 2A - 1A | | - 2A - - | 123.91/31.30 \ - - - 0A / \ - - - 0A / 123.91/31.30 property Termination 123.91/31.30 has value True 123.91/31.30 for SRS ( [2, 0, 0] |-> [3], [2, 0] |-> [3, 0], [3, 1] |-> [2, 0], [2, 0] |-> [2, 1, 0], [0, 0, 0] ->= [1], [1, 1] ->= [0, 0], [0, 0] ->= [0, 1, 0]) 123.91/31.30 reason 123.91/31.30 EDG has 1 SCCs 123.91/31.31 property Termination 123.91/31.31 has value True 123.91/31.32 for SRS ( [2, 0, 0] |-> [3], [3, 1] |-> [2, 0], [2, 0] |-> [2, 1, 0], [2, 0] |-> [3, 0], [0, 0, 0] ->= [1], [1, 1] ->= [0, 0], [0, 0] ->= [0, 1, 0]) 123.91/31.32 reason 123.91/31.33 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 123.91/31.33 interpretation 123.91/31.34 0 Wk / - 1A - 0A \ 123.91/31.34 | 1A 3A 0A 3A | 123.91/31.34 | - 0A - 0A | 123.91/31.34 \ - - - 0A / 123.91/31.34 1 Wk / 3A 2A 2A 4A \ 123.91/31.34 | 2A - 3A - | 123.91/31.34 | 2A 3A 3A - | 123.91/31.34 \ - - - 0A / 123.91/31.36 2 Wk / - 1A - 6A \ 123.91/31.36 | - - - - | 123.91/31.36 | - - - - | 123.91/31.36 \ - - - 0A / 123.91/31.36 3 Wk / - - 2A 6A \ 123.91/31.36 | - - - - | 123.91/31.36 | - - - - | 123.91/31.36 \ - - - 0A / 123.91/31.36 [2, 0, 0] |-> [3] 123.91/31.36 lhs rhs ge gt 123.91/31.36 Wk / 5A 7A 4A 7A \ Wk / - - 2A 6A \ True True 123.91/31.36 | - - - - | | - - - - | 123.91/31.36 | - - - - | | - - - - | 123.91/31.36 \ - - - 0A / \ - - - 0A / 123.91/31.36 [3, 1] |-> [2, 0] 124.22/31.39 lhs rhs ge gt 124.22/31.39 Wk / 4A 5A 5A 6A \ Wk / 2A 4A 1A 6A \ True False 124.22/31.40 | - - - - | | - - - - | 124.22/31.40 | - - - - | | - - - - | 124.22/31.40 \ - - - 0A / \ - - - 0A / 124.22/31.40 [2, 0] |-> [2, 1, 0] 124.22/31.42 lhs rhs ge gt 124.22/31.43 Wk / 2A 4A 1A 6A \ Wk / - 4A - 6A \ True False 124.22/31.43 | - - - - | | - - - - | 124.22/31.43 | - - - - | | - - - - | 124.22/31.43 \ - - - 0A / \ - - - 0A / 124.22/31.43 [2, 0] |-> [3, 0] 124.22/31.43 lhs rhs ge gt 124.22/31.43 Wk / 2A 4A 1A 6A \ Wk / - 2A - 6A \ True False 124.22/31.43 | - - - - | | - - - - | 124.22/31.43 | - - - - | | - - - - | 124.22/31.43 \ - - - 0A / \ - - - 0A / 124.22/31.43 [0, 0, 0] ->= [1] 124.22/31.45 lhs rhs ge gt 124.22/31.45 Wk / 5A 7A 4A 7A \ Wk / 3A 2A 2A 4A \ True False 124.22/31.45 | 7A 9A 6A 9A | | 2A - 3A - | 124.22/31.45 | 4A 6A 3A 6A | | 2A 3A 3A - | 124.22/31.45 \ - - - 0A / \ - - - 0A / 124.22/31.45 [1, 1] ->= [0, 0] 124.22/31.46 lhs rhs ge gt 124.22/31.46 Wk / 6A 5A 5A 7A \ Wk / 2A 4A 1A 4A \ True False 124.22/31.46 | 5A 6A 6A 6A | | 4A 6A 3A 6A | 124.22/31.46 | 5A 6A 6A 6A | | 1A 3A 0A 3A | 124.22/31.46 \ - - - 0A / \ - - - 0A / 124.22/31.46 [0, 0] ->= [0, 1, 0] 124.22/31.47 lhs rhs ge gt 124.22/31.47 Wk / 2A 4A 1A 4A \ Wk / - 4A - 4A \ True False 124.22/31.47 | 4A 6A 3A 6A | | 4A 6A 3A 6A | 124.22/31.47 | 1A 3A 0A 3A | | - 3A - 3A | 124.22/31.47 \ - - - 0A / \ - - - 0A / 124.22/31.47 property Termination 124.22/31.47 has value True 124.22/31.48 for SRS ( [3, 1] |-> [2, 0], [2, 0] |-> [2, 1, 0], [2, 0] |-> [3, 0], [0, 0, 0] ->= [1], [1, 1] ->= [0, 0], [0, 0] ->= [0, 1, 0]) 124.22/31.48 reason 124.22/31.48 EDG has 1 SCCs 124.22/31.48 property Termination 124.22/31.48 has value True 124.22/31.48 for SRS ( [3, 1] |-> [2, 0], [2, 0] |-> [3, 0], [2, 0] |-> [2, 1, 0], [0, 0, 0] ->= [1], [1, 1] ->= [0, 0], [0, 0] ->= [0, 1, 0]) 124.22/31.48 reason 124.22/31.48 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 124.22/31.48 interpretation 124.22/31.48 0 Wk / 2A 2A - 0A \ 124.22/31.48 | 3A 3A 0A 1A | 124.22/31.48 | 0A - - - | 124.22/31.48 \ - - - 0A / 124.22/31.49 1 Wk / - - 2A 0A \ 124.22/31.49 | - - 3A - | 124.22/31.49 | 4A 3A 2A 2A | 124.22/31.49 \ - - - 0A / 124.22/31.49 2 Wk / 1A - - - \ 124.22/31.49 | 0A - - 1A | 124.22/31.49 | - - - - | 124.22/31.49 \ - - - 0A / 124.22/31.49 3 Wk / - - 3A 1A \ 124.22/31.49 | 0A - 0A 0A | 124.22/31.49 | - - - - | 124.22/31.49 \ - - - 0A / 124.22/31.49 [3, 1] |-> [2, 0] 124.59/31.49 lhs rhs ge gt 124.59/31.49 Wk / 7A 6A 5A 5A \ Wk / 3A 3A - 1A \ True True 124.59/31.49 | 4A 3A 2A 2A | | 2A 2A - 1A | 124.59/31.49 | - - - - | | - - - - | 124.59/31.49 \ - - - 0A / \ - - - 0A / 124.59/31.50 [2, 0] |-> [3, 0] 124.62/31.50 lhs rhs ge gt 124.62/31.50 Wk / 3A 3A - 1A \ Wk / 3A - - 1A \ True False 124.62/31.50 | 2A 2A - 1A | | 2A 2A - 0A | 124.62/31.50 | - - - - | | - - - - | 124.62/31.50 \ - - - 0A / \ - - - 0A / 124.62/31.50 [2, 0] |-> [2, 1, 0] 124.62/31.50 lhs rhs ge gt 124.62/31.50 Wk / 3A 3A - 1A \ Wk / 3A - - 1A \ True False 124.62/31.50 | 2A 2A - 1A | | 2A - - 1A | 124.62/31.50 | - - - - | | - - - - | 124.62/31.50 \ - - - 0A / \ - - - 0A / 124.66/31.52 [0, 0, 0] ->= [1] 124.66/31.52 lhs rhs ge gt 124.66/31.52 Wk / 8A 8A 5A 6A \ Wk / - - 2A 0A \ True False 124.66/31.52 | 9A 9A 6A 7A | | - - 3A - | 124.66/31.52 | 5A 5A 2A 3A | | 4A 3A 2A 2A | 124.66/31.52 \ - - - 0A / \ - - - 0A / 124.66/31.52 [1, 1] ->= [0, 0] 124.66/31.52 lhs rhs ge gt 124.66/31.52 Wk / 6A 5A 4A 4A \ Wk / 5A 5A 2A 3A \ True False 124.66/31.52 | 7A 6A 5A 5A | | 6A 6A 3A 4A | 124.66/31.52 | 6A 5A 6A 4A | | 2A 2A - 0A | 124.66/31.52 \ - - - 0A / \ - - - 0A / 124.66/31.52 [0, 0] ->= [0, 1, 0] 124.66/31.53 lhs rhs ge gt 124.66/31.53 Wk / 5A 5A 2A 3A \ Wk / 5A - - 2A \ True False 124.66/31.53 | 6A 6A 3A 4A | | 6A 6A 3A 4A | 124.66/31.53 | 2A 2A - 0A | | 2A - - 0A | 124.66/31.53 \ - - - 0A / \ - - - 0A / 124.66/31.53 property Termination 124.66/31.53 has value True 124.66/31.53 for SRS ( [2, 0] |-> [3, 0], [2, 0] |-> [2, 1, 0], [0, 0, 0] ->= [1], [1, 1] ->= [0, 0], [0, 0] ->= [0, 1, 0]) 124.66/31.53 reason 124.66/31.53 weights 124.66/31.53 Map [(2, 1/1)] 124.66/31.53 124.66/31.53 property Termination 124.66/31.53 has value True 124.66/31.53 for SRS ( [2, 0] |-> [2, 1, 0], [0, 0, 0] ->= [1], [1, 1] ->= [0, 0], [0, 0] ->= [0, 1, 0]) 124.66/31.53 reason 124.66/31.53 EDG has 1 SCCs 124.66/31.53 property Termination 124.66/31.53 has value True 124.66/31.53 for SRS ( [2, 0] |-> [2, 1, 0], [0, 0, 0] ->= [1], [1, 1] ->= [0, 0], [0, 0] ->= [0, 1, 0]) 124.66/31.53 reason 124.66/31.53 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 124.66/31.53 interpretation 124.66/31.54 0 Wk / - - 0A 1A \ 124.66/31.54 | 0A 2A 3A 5A | 124.66/31.54 | - 0A 1A 2A | 124.66/31.54 \ - - - 0A / 124.66/31.54 1 Wk / 0A 2A 3A 5A \ 124.66/31.54 | 2A - 0A - | 124.66/31.54 | 1A - 0A - | 124.66/31.54 \ - - - 0A / 124.66/31.55 2 Wk / - 0A 1A 3A \ 124.66/31.55 | - - - - | 124.66/31.55 | - - - - | 124.66/31.55 \ - - - 0A / 124.66/31.55 [2, 0] |-> [2, 1, 0] 124.66/31.56 lhs rhs ge gt 124.66/31.56 Wk / 0A 2A 3A 5A \ Wk / - 1A 2A 3A \ True True 124.66/31.56 | - - - - | | - - - - | 124.66/31.56 | - - - - | | - - - - | 124.66/31.56 \ - - - 0A / \ - - - 0A / 124.66/31.56 [0, 0, 0] ->= [1] 124.66/31.56 lhs rhs ge gt 124.66/31.56 Wk / 0A 2A 3A 5A \ Wk / 0A 2A 3A 5A \ True False 124.66/31.56 | 4A 6A 7A 9A | | 2A - 0A - | 124.66/31.56 | 2A 4A 5A 7A | | 1A - 0A - | 124.66/31.56 \ - - - 0A / \ - - - 0A / 124.66/31.56 [1, 1] ->= [0, 0] 124.66/31.59 lhs rhs ge gt 124.66/31.59 Wk / 4A 2A 3A 5A \ Wk / - 0A 1A 2A \ True False 124.66/31.59 | 2A 4A 5A 7A | | 2A 4A 5A 7A | 124.66/31.59 | 1A 3A 4A 6A | | 0A 2A 3A 5A | 124.66/31.59 \ - - - 0A / \ - - - 0A / 124.66/31.59 [0, 0] ->= [0, 1, 0] 125.42/31.75 lhs rhs ge gt 125.42/31.75 Wk / - 0A 1A 2A \ Wk / - 0A 1A 2A \ True False 125.42/31.75 | 2A 4A 5A 7A | | 2A 4A 5A 7A | 125.42/31.75 | 0A 2A 3A 5A | | - 1A 2A 3A | 125.42/31.75 \ - - - 0A / \ - - - 0A / 125.42/31.75 property Termination 125.42/31.75 has value True 125.42/31.75 for SRS ( [0, 0, 0] ->= [1], [1, 1] ->= [0, 0], [0, 0] ->= [0, 1, 0]) 125.42/31.75 reason 125.42/31.75 EDG has 0 SCCs 125.42/31.75 125.42/31.75 ************************************************** 125.42/31.75 summary 125.42/31.75 ************************************************** 125.42/31.75 SRS with 3 rules on 2 letters Remap { tracing = False} 125.42/31.75 SRS with 3 rules on 2 letters DP transform 125.42/31.75 SRS with 8 rules on 4 letters Remap { tracing = False} 125.42/31.75 SRS with 8 rules on 4 letters EDG 125.42/31.75 SRS with 8 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 125.42/31.75 SRS with 7 rules on 4 letters EDG 125.42/31.75 SRS with 7 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 125.42/31.76 SRS with 6 rules on 4 letters EDG 125.42/31.76 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 125.42/31.76 SRS with 5 rules on 4 letters weights 125.42/31.76 SRS with 4 rules on 3 letters EDG 125.42/31.76 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 125.42/31.76 SRS with 3 rules on 2 letters EDG 125.42/31.76 125.42/31.76 ************************************************** 125.42/31.78 (3, 2)\Deepee(8, 4)\Matrix{\Arctic}{4}(7, 4)\Matrix{\Arctic}{4}(6, 4)\Matrix{\Arctic}{4}(5, 4)\Weight(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[] 125.42/31.78 ************************************************** 126.14/31.90 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]} 126.14/31.90 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 126.47/32.02 EOF