0.00/0.24 YES 0.00/0.24 0.00/0.24 Problem 1: 0.00/0.24 0.00/0.24 (VAR v_NonEmpty:S x1:S) 0.00/0.24 (RULES 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 ) 0.00/0.24 0.00/0.24 Problem 1: 0.00/0.24 0.00/0.24 Dependency Pairs Processor: 0.00/0.24 -> Pairs: 0.00/0.24 A(a(b(a(x1:S)))) -> A(a(a(b(x1:S)))) 0.00/0.24 A(a(b(a(x1:S)))) -> A(a(b(x1:S))) 0.00/0.24 A(a(b(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 A(a(b(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(a(b(x1:S)))) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 B(a(a(a(x1:S)))) -> B(a(b(x1:S))) 0.00/0.24 B(a(a(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(b(b(b(x1:S)))) -> A(a(b(b(x1:S)))) 0.00/0.24 B(b(b(b(x1:S)))) -> A(b(b(x1:S))) 0.00/0.24 -> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 0.00/0.24 Problem 1: 0.00/0.24 0.00/0.24 SCC Processor: 0.00/0.24 -> Pairs: 0.00/0.24 A(a(b(a(x1:S)))) -> A(a(a(b(x1:S)))) 0.00/0.24 A(a(b(a(x1:S)))) -> A(a(b(x1:S))) 0.00/0.24 A(a(b(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 A(a(b(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(a(b(x1:S)))) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 B(a(a(a(x1:S)))) -> B(a(b(x1:S))) 0.00/0.24 B(a(a(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(b(b(b(x1:S)))) -> A(a(b(b(x1:S)))) 0.00/0.24 B(b(b(b(x1:S)))) -> A(b(b(x1:S))) 0.00/0.24 -> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 ->Strongly Connected Components: 0.00/0.24 ->->Cycle: 0.00/0.24 ->->-> Pairs: 0.00/0.24 A(a(b(a(x1:S)))) -> A(a(a(b(x1:S)))) 0.00/0.24 A(a(b(a(x1:S)))) -> A(a(b(x1:S))) 0.00/0.24 A(a(b(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 A(a(b(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(a(b(x1:S)))) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 B(a(a(a(x1:S)))) -> B(a(b(x1:S))) 0.00/0.24 B(a(a(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(b(b(b(x1:S)))) -> A(a(b(b(x1:S)))) 0.00/0.24 B(b(b(b(x1:S)))) -> A(b(b(x1:S))) 0.00/0.24 ->->-> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 0.00/0.24 Problem 1: 0.00/0.24 0.00/0.24 Reduction Pair Processor: 0.00/0.24 -> Pairs: 0.00/0.24 A(a(b(a(x1:S)))) -> A(a(a(b(x1:S)))) 0.00/0.24 A(a(b(a(x1:S)))) -> A(a(b(x1:S))) 0.00/0.24 A(a(b(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 A(a(b(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(a(b(x1:S)))) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 B(a(a(a(x1:S)))) -> B(a(b(x1:S))) 0.00/0.24 B(a(a(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(b(b(b(x1:S)))) -> A(a(b(b(x1:S)))) 0.00/0.24 B(b(b(b(x1:S)))) -> A(b(b(x1:S))) 0.00/0.24 -> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 -> Usable rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 ->Interpretation type: 0.00/0.24 Linear 0.00/0.24 ->Coefficients: 0.00/0.24 Natural Numbers 0.00/0.24 ->Dimension: 0.00/0.24 1 0.00/0.24 ->Bound: 0.00/0.24 2 0.00/0.24 ->Interpretation: 0.00/0.24 0.00/0.24 [a](X) = 2.X + 2 0.00/0.24 [b](X) = 2.X + 2 0.00/0.24 [A](X) = 2.X + 2 0.00/0.24 [B](X) = 2.X + 2 0.00/0.24 0.00/0.24 Problem 1: 0.00/0.24 0.00/0.24 SCC Processor: 0.00/0.24 -> Pairs: 0.00/0.24 A(a(b(a(x1:S)))) -> A(a(a(b(x1:S)))) 0.00/0.24 A(a(b(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 A(a(b(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(a(b(x1:S)))) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 B(a(a(a(x1:S)))) -> B(a(b(x1:S))) 0.00/0.24 B(a(a(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(b(b(b(x1:S)))) -> A(a(b(b(x1:S)))) 0.00/0.24 B(b(b(b(x1:S)))) -> A(b(b(x1:S))) 0.00/0.24 -> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 ->Strongly Connected Components: 0.00/0.24 ->->Cycle: 0.00/0.24 ->->-> Pairs: 0.00/0.24 A(a(b(a(x1:S)))) -> A(a(a(b(x1:S)))) 0.00/0.24 A(a(b(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 A(a(b(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(a(b(x1:S)))) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 B(a(a(a(x1:S)))) -> B(a(b(x1:S))) 0.00/0.24 B(a(a(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(b(b(b(x1:S)))) -> A(a(b(b(x1:S)))) 0.00/0.24 B(b(b(b(x1:S)))) -> A(b(b(x1:S))) 0.00/0.24 ->->-> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 0.00/0.24 Problem 1: 0.00/0.24 0.00/0.24 Reduction Pair Processor: 0.00/0.24 -> Pairs: 0.00/0.24 A(a(b(a(x1:S)))) -> A(a(a(b(x1:S)))) 0.00/0.24 A(a(b(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 A(a(b(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(a(b(x1:S)))) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 B(a(a(a(x1:S)))) -> B(a(b(x1:S))) 0.00/0.24 B(a(a(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(b(b(b(x1:S)))) -> A(a(b(b(x1:S)))) 0.00/0.24 B(b(b(b(x1:S)))) -> A(b(b(x1:S))) 0.00/0.24 -> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 -> Usable rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 ->Interpretation type: 0.00/0.24 Linear 0.00/0.24 ->Coefficients: 0.00/0.24 Natural Numbers 0.00/0.24 ->Dimension: 0.00/0.24 1 0.00/0.24 ->Bound: 0.00/0.24 2 0.00/0.24 ->Interpretation: 0.00/0.24 0.00/0.24 [a](X) = 2.X + 2 0.00/0.24 [b](X) = 2.X + 2 0.00/0.24 [A](X) = 2.X 0.00/0.24 [B](X) = 2.X 0.00/0.24 0.00/0.24 Problem 1: 0.00/0.24 0.00/0.24 SCC Processor: 0.00/0.24 -> Pairs: 0.00/0.24 A(a(b(a(x1:S)))) -> A(a(a(b(x1:S)))) 0.00/0.24 A(a(b(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(a(b(x1:S)))) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 B(a(a(a(x1:S)))) -> B(a(b(x1:S))) 0.00/0.24 B(a(a(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(b(b(b(x1:S)))) -> A(a(b(b(x1:S)))) 0.00/0.24 B(b(b(b(x1:S)))) -> A(b(b(x1:S))) 0.00/0.24 -> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 ->Strongly Connected Components: 0.00/0.24 ->->Cycle: 0.00/0.24 ->->-> Pairs: 0.00/0.24 A(a(b(a(x1:S)))) -> A(a(a(b(x1:S)))) 0.00/0.24 A(a(b(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(a(b(x1:S)))) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 B(a(a(a(x1:S)))) -> B(a(b(x1:S))) 0.00/0.24 B(a(a(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(b(b(b(x1:S)))) -> A(a(b(b(x1:S)))) 0.00/0.24 B(b(b(b(x1:S)))) -> A(b(b(x1:S))) 0.00/0.24 ->->-> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 0.00/0.24 Problem 1: 0.00/0.24 0.00/0.24 Reduction Pair Processor: 0.00/0.24 -> Pairs: 0.00/0.24 A(a(b(a(x1:S)))) -> A(a(a(b(x1:S)))) 0.00/0.24 A(a(b(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(a(b(x1:S)))) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 B(a(a(a(x1:S)))) -> B(a(b(x1:S))) 0.00/0.24 B(a(a(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(b(b(b(x1:S)))) -> A(a(b(b(x1:S)))) 0.00/0.24 B(b(b(b(x1:S)))) -> A(b(b(x1:S))) 0.00/0.24 -> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 -> Usable rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 ->Interpretation type: 0.00/0.24 Linear 0.00/0.24 ->Coefficients: 0.00/0.24 Natural Numbers 0.00/0.24 ->Dimension: 0.00/0.24 1 0.00/0.24 ->Bound: 0.00/0.24 2 0.00/0.24 ->Interpretation: 0.00/0.24 0.00/0.24 [a](X) = 2.X + 2 0.00/0.24 [b](X) = 2.X + 2 0.00/0.24 [A](X) = 2.X + 2 0.00/0.24 [B](X) = 2.X + 2 0.00/0.24 0.00/0.24 Problem 1: 0.00/0.24 0.00/0.24 SCC Processor: 0.00/0.24 -> Pairs: 0.00/0.24 A(a(b(a(x1:S)))) -> A(a(a(b(x1:S)))) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(a(b(x1:S)))) 0.00/0.24 B(a(a(a(x1:S)))) -> A(b(x1:S)) 0.00/0.24 B(a(a(a(x1:S)))) -> B(a(b(x1:S))) 0.00/0.24 B(a(a(a(x1:S)))) -> B(x1:S) 0.00/0.24 B(b(b(b(x1:S)))) -> A(a(b(b(x1:S)))) 0.00/0.24 B(b(b(b(x1:S)))) -> A(b(b(x1:S))) 0.00/0.24 -> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 ->Strongly Connected Components: 0.00/0.24 ->->Cycle: 0.00/0.24 ->->-> Pairs: 0.00/0.24 A(a(b(a(x1:S)))) -> A(a(a(b(x1:S)))) 0.00/0.24 ->->-> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 ->->Cycle: 0.00/0.24 ->->-> Pairs: 0.00/0.24 B(a(a(a(x1:S)))) -> B(a(b(x1:S))) 0.00/0.24 B(a(a(a(x1:S)))) -> B(x1:S) 0.00/0.24 ->->-> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 0.00/0.24 0.00/0.24 The problem is decomposed in 2 subproblems. 0.00/0.24 0.00/0.24 Problem 1.1: 0.00/0.24 0.00/0.24 Reduction Pair Processor: 0.00/0.24 -> Pairs: 0.00/0.24 A(a(b(a(x1:S)))) -> A(a(a(b(x1:S)))) 0.00/0.24 -> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 -> Usable rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 ->Interpretation type: 0.00/0.24 Linear 0.00/0.24 ->Coefficients: 0.00/0.24 All rationals 0.00/0.24 ->Dimension: 0.00/0.24 1 0.00/0.24 ->Bound: 0.00/0.24 2 0.00/0.24 ->Interpretation: 0.00/0.24 0.00/0.24 [a](X) = 1/2.X 0.00/0.24 [b](X) = 1/2 0.00/0.24 [A](X) = 1/2.X 0.00/0.24 0.00/0.24 Problem 1.1: 0.00/0.24 0.00/0.24 SCC Processor: 0.00/0.24 -> Pairs: 0.00/0.24 Empty 0.00/0.24 -> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 ->Strongly Connected Components: 0.00/0.24 There is no strongly connected component 0.00/0.24 0.00/0.24 The problem is finite. 0.00/0.24 0.00/0.24 Problem 1.2: 0.00/0.24 0.00/0.24 Reduction Pair Processor: 0.00/0.24 -> Pairs: 0.00/0.24 B(a(a(a(x1:S)))) -> B(a(b(x1:S))) 0.00/0.24 B(a(a(a(x1:S)))) -> B(x1:S) 0.00/0.24 -> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 -> Usable rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 ->Interpretation type: 0.00/0.24 Linear 0.00/0.24 ->Coefficients: 0.00/0.24 Natural Numbers 0.00/0.24 ->Dimension: 0.00/0.24 1 0.00/0.24 ->Bound: 0.00/0.24 2 0.00/0.24 ->Interpretation: 0.00/0.24 0.00/0.24 [a](X) = 2.X + 2 0.00/0.24 [b](X) = 2.X + 2 0.00/0.24 [B](X) = 2.X 0.00/0.24 0.00/0.24 Problem 1.2: 0.00/0.24 0.00/0.24 SCC Processor: 0.00/0.24 -> Pairs: 0.00/0.24 B(a(a(a(x1:S)))) -> B(x1:S) 0.00/0.24 -> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 ->Strongly Connected Components: 0.00/0.24 ->->Cycle: 0.00/0.24 ->->-> Pairs: 0.00/0.24 B(a(a(a(x1:S)))) -> B(x1:S) 0.00/0.24 ->->-> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 0.00/0.24 Problem 1.2: 0.00/0.24 0.00/0.24 Subterm Processor: 0.00/0.24 -> Pairs: 0.00/0.24 B(a(a(a(x1:S)))) -> B(x1:S) 0.00/0.24 -> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 ->Projection: 0.00/0.24 pi(B) = 1 0.00/0.24 0.00/0.24 Problem 1.2: 0.00/0.24 0.00/0.24 SCC Processor: 0.00/0.24 -> Pairs: 0.00/0.24 Empty 0.00/0.24 -> Rules: 0.00/0.24 a(a(b(a(x1:S)))) -> a(a(a(b(x1:S)))) 0.00/0.24 b(a(a(a(x1:S)))) -> a(b(a(b(x1:S)))) 0.00/0.24 b(b(b(b(x1:S)))) -> a(a(b(b(x1:S)))) 0.00/0.24 ->Strongly Connected Components: 0.00/0.24 There is no strongly connected component 0.00/0.24 0.00/0.24 The problem is finite. 0.00/0.24 EOF