0.00/0.04 YES 0.00/0.04 0.00/0.04 Problem 1: 0.00/0.04 0.00/0.04 (VAR v_NonEmpty:S x1:S) 0.00/0.04 (RULES 0.00/0.04 b(a(b(c(c(b(x1:S)))))) -> a(b(b(c(c(b(a(x1:S))))))) 0.00/0.04 ) 0.00/0.04 0.00/0.04 Problem 1: 0.00/0.04 0.00/0.04 Dependency Pairs Processor: 0.00/0.04 -> Pairs: 0.00/0.04 B(a(b(c(c(b(x1:S)))))) -> B(b(c(c(b(a(x1:S)))))) 0.00/0.04 B(a(b(c(c(b(x1:S)))))) -> B(a(x1:S)) 0.00/0.04 B(a(b(c(c(b(x1:S)))))) -> B(c(c(b(a(x1:S))))) 0.00/0.04 -> Rules: 0.00/0.04 b(a(b(c(c(b(x1:S)))))) -> a(b(b(c(c(b(a(x1:S))))))) 0.00/0.04 0.00/0.04 Problem 1: 0.00/0.04 0.00/0.04 SCC Processor: 0.00/0.04 -> Pairs: 0.00/0.04 B(a(b(c(c(b(x1:S)))))) -> B(b(c(c(b(a(x1:S)))))) 0.00/0.04 B(a(b(c(c(b(x1:S)))))) -> B(a(x1:S)) 0.00/0.04 B(a(b(c(c(b(x1:S)))))) -> B(c(c(b(a(x1:S))))) 0.00/0.04 -> Rules: 0.00/0.04 b(a(b(c(c(b(x1:S)))))) -> a(b(b(c(c(b(a(x1:S))))))) 0.00/0.04 ->Strongly Connected Components: 0.00/0.04 ->->Cycle: 0.00/0.04 ->->-> Pairs: 0.00/0.04 B(a(b(c(c(b(x1:S)))))) -> B(a(x1:S)) 0.00/0.04 ->->-> Rules: 0.00/0.04 b(a(b(c(c(b(x1:S)))))) -> a(b(b(c(c(b(a(x1:S))))))) 0.00/0.04 0.00/0.04 Problem 1: 0.00/0.04 0.00/0.04 Reduction Pair Processor: 0.00/0.04 -> Pairs: 0.00/0.04 B(a(b(c(c(b(x1:S)))))) -> B(a(x1:S)) 0.00/0.04 -> Rules: 0.00/0.04 b(a(b(c(c(b(x1:S)))))) -> a(b(b(c(c(b(a(x1:S))))))) 0.00/0.04 -> Usable rules: 0.00/0.04 Empty 0.00/0.04 ->Interpretation type: 0.00/0.04 Linear 0.00/0.04 ->Coefficients: 0.00/0.04 Natural Numbers 0.00/0.04 ->Dimension: 0.00/0.04 1 0.00/0.04 ->Bound: 0.00/0.04 2 0.00/0.04 ->Interpretation: 0.00/0.04 0.00/0.04 [b](X) = 2.X + 2 0.00/0.04 [a](X) = 2.X 0.00/0.04 [c](X) = X 0.00/0.04 [B](X) = 2.X 0.00/0.04 0.00/0.04 Problem 1: 0.00/0.04 0.00/0.04 SCC Processor: 0.00/0.04 -> Pairs: 0.00/0.04 Empty 0.00/0.04 -> Rules: 0.00/0.04 b(a(b(c(c(b(x1:S)))))) -> a(b(b(c(c(b(a(x1:S))))))) 0.00/0.04 ->Strongly Connected Components: 0.00/0.04 There is no strongly connected component 0.00/0.04 0.00/0.04 The problem is finite. 0.00/0.05 EOF