189.20/47.66 YES 189.20/47.67 189.20/47.67 Problem: 189.20/47.67 a(d(x1)) -> d(b(x1)) 189.20/47.67 a(x1) -> b(b(b(x1))) 189.20/47.67 d(x1) -> x1 189.20/47.67 a(x1) -> x1 189.20/47.67 b(d(b(x1))) -> a(d(x1)) 189.20/47.67 b(c(x1)) -> c(d(d(x1))) 189.20/47.67 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.67 189.20/47.67 Proof: 189.20/47.67 DP Processor: 189.20/47.67 DPs: 189.20/47.67 a#(d(x1)) -> b#(x1) 189.20/47.67 a#(d(x1)) -> d#(b(x1)) 189.20/47.67 a#(x1) -> b#(x1) 189.20/47.67 a#(x1) -> b#(b(x1)) 189.20/47.67 a#(x1) -> b#(b(b(x1))) 189.20/47.67 b#(d(b(x1))) -> d#(x1) 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) 189.20/47.67 b#(c(x1)) -> d#(x1) 189.20/47.67 b#(c(x1)) -> d#(d(x1)) 189.20/47.67 a#(c(x1)) -> d#(x1) 189.20/47.67 a#(c(x1)) -> b#(c(d(x1))) 189.20/47.67 a#(c(x1)) -> b#(b(c(d(x1)))) 189.20/47.67 TRS: 189.20/47.67 a(d(x1)) -> d(b(x1)) 189.20/47.67 a(x1) -> b(b(b(x1))) 189.20/47.67 d(x1) -> x1 189.20/47.67 a(x1) -> x1 189.20/47.67 b(d(b(x1))) -> a(d(x1)) 189.20/47.67 b(c(x1)) -> c(d(d(x1))) 189.20/47.67 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.67 TDG Processor: 189.20/47.67 DPs: 189.20/47.67 a#(d(x1)) -> b#(x1) 189.20/47.67 a#(d(x1)) -> d#(b(x1)) 189.20/47.67 a#(x1) -> b#(x1) 189.20/47.67 a#(x1) -> b#(b(x1)) 189.20/47.67 a#(x1) -> b#(b(b(x1))) 189.20/47.67 b#(d(b(x1))) -> d#(x1) 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) 189.20/47.67 b#(c(x1)) -> d#(x1) 189.20/47.67 b#(c(x1)) -> d#(d(x1)) 189.20/47.67 a#(c(x1)) -> d#(x1) 189.20/47.67 a#(c(x1)) -> b#(c(d(x1))) 189.20/47.67 a#(c(x1)) -> b#(b(c(d(x1)))) 189.20/47.67 TRS: 189.20/47.67 a(d(x1)) -> d(b(x1)) 189.20/47.67 a(x1) -> b(b(b(x1))) 189.20/47.67 d(x1) -> x1 189.20/47.67 a(x1) -> x1 189.20/47.67 b(d(b(x1))) -> a(d(x1)) 189.20/47.67 b(c(x1)) -> c(d(d(x1))) 189.20/47.67 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.67 graph: 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) -> a#(c(x1)) -> b#(b(c(d(x1)))) 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) -> a#(c(x1)) -> b#(c(d(x1))) 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) -> a#(c(x1)) -> d#(x1) 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) -> a#(x1) -> b#(b(b(x1))) 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) -> a#(x1) -> b#(b(x1)) 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) -> a#(x1) -> b#(x1) 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) -> a#(d(x1)) -> d#(b(x1)) 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) -> a#(d(x1)) -> b#(x1) 189.20/47.67 a#(c(x1)) -> b#(c(d(x1))) -> b#(c(x1)) -> d#(d(x1)) 189.20/47.67 a#(c(x1)) -> b#(c(d(x1))) -> b#(c(x1)) -> d#(x1) 189.20/47.67 a#(c(x1)) -> b#(c(d(x1))) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.67 a#(c(x1)) -> b#(c(d(x1))) -> b#(d(b(x1))) -> d#(x1) 189.20/47.67 a#(c(x1)) -> b#(b(c(d(x1)))) -> b#(c(x1)) -> d#(d(x1)) 189.20/47.67 a#(c(x1)) -> b#(b(c(d(x1)))) -> b#(c(x1)) -> d#(x1) 189.20/47.67 a#(c(x1)) -> b#(b(c(d(x1)))) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.67 a#(c(x1)) -> b#(b(c(d(x1)))) -> b#(d(b(x1))) -> d#(x1) 189.20/47.67 a#(d(x1)) -> b#(x1) -> b#(c(x1)) -> d#(d(x1)) 189.20/47.67 a#(d(x1)) -> b#(x1) -> b#(c(x1)) -> d#(x1) 189.20/47.67 a#(d(x1)) -> b#(x1) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.67 a#(d(x1)) -> b#(x1) -> b#(d(b(x1))) -> d#(x1) 189.20/47.67 a#(x1) -> b#(b(b(x1))) -> b#(c(x1)) -> d#(d(x1)) 189.20/47.67 a#(x1) -> b#(b(b(x1))) -> b#(c(x1)) -> d#(x1) 189.20/47.67 a#(x1) -> b#(b(b(x1))) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.67 a#(x1) -> b#(b(b(x1))) -> b#(d(b(x1))) -> d#(x1) 189.20/47.67 a#(x1) -> b#(b(x1)) -> b#(c(x1)) -> d#(d(x1)) 189.20/47.67 a#(x1) -> b#(b(x1)) -> b#(c(x1)) -> d#(x1) 189.20/47.67 a#(x1) -> b#(b(x1)) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.67 a#(x1) -> b#(b(x1)) -> b#(d(b(x1))) -> d#(x1) 189.20/47.67 a#(x1) -> b#(x1) -> b#(c(x1)) -> d#(d(x1)) 189.20/47.67 a#(x1) -> b#(x1) -> b#(c(x1)) -> d#(x1) 189.20/47.67 a#(x1) -> b#(x1) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.67 a#(x1) -> b#(x1) -> b#(d(b(x1))) -> d#(x1) 189.20/47.67 EDG Processor: 189.20/47.67 DPs: 189.20/47.67 a#(d(x1)) -> b#(x1) 189.20/47.67 a#(d(x1)) -> d#(b(x1)) 189.20/47.67 a#(x1) -> b#(x1) 189.20/47.67 a#(x1) -> b#(b(x1)) 189.20/47.67 a#(x1) -> b#(b(b(x1))) 189.20/47.67 b#(d(b(x1))) -> d#(x1) 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) 189.20/47.67 b#(c(x1)) -> d#(x1) 189.20/47.67 b#(c(x1)) -> d#(d(x1)) 189.20/47.67 a#(c(x1)) -> d#(x1) 189.20/47.67 a#(c(x1)) -> b#(c(d(x1))) 189.20/47.67 a#(c(x1)) -> b#(b(c(d(x1)))) 189.20/47.67 TRS: 189.20/47.67 a(d(x1)) -> d(b(x1)) 189.20/47.67 a(x1) -> b(b(b(x1))) 189.20/47.67 d(x1) -> x1 189.20/47.67 a(x1) -> x1 189.20/47.67 b(d(b(x1))) -> a(d(x1)) 189.20/47.67 b(c(x1)) -> c(d(d(x1))) 189.20/47.67 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.67 graph: 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) -> a#(d(x1)) -> b#(x1) 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) -> a#(d(x1)) -> d#(b(x1)) 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) -> a#(x1) -> b#(x1) 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) -> a#(x1) -> b#(b(x1)) 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) -> a#(x1) -> b#(b(b(x1))) 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) -> a#(c(x1)) -> d#(x1) 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) -> a#(c(x1)) -> b#(c(d(x1))) 189.20/47.67 b#(d(b(x1))) -> a#(d(x1)) -> a#(c(x1)) -> b#(b(c(d(x1)))) 189.20/47.67 a#(c(x1)) -> b#(c(d(x1))) -> b#(c(x1)) -> d#(x1) 189.20/47.67 a#(c(x1)) -> b#(c(d(x1))) -> b#(c(x1)) -> d#(d(x1)) 189.20/47.67 a#(c(x1)) -> b#(b(c(d(x1)))) -> b#(d(b(x1))) -> d#(x1) 189.20/47.67 a#(c(x1)) -> b#(b(c(d(x1)))) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.68 a#(c(x1)) -> b#(b(c(d(x1)))) -> b#(c(x1)) -> d#(x1) 189.20/47.68 a#(c(x1)) -> b#(b(c(d(x1)))) -> b#(c(x1)) -> d#(d(x1)) 189.20/47.68 a#(d(x1)) -> b#(x1) -> b#(d(b(x1))) -> d#(x1) 189.20/47.68 a#(d(x1)) -> b#(x1) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.68 a#(d(x1)) -> b#(x1) -> b#(c(x1)) -> d#(x1) 189.20/47.68 a#(d(x1)) -> b#(x1) -> b#(c(x1)) -> d#(d(x1)) 189.20/47.68 a#(x1) -> b#(b(b(x1))) -> b#(d(b(x1))) -> d#(x1) 189.20/47.68 a#(x1) -> b#(b(b(x1))) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.68 a#(x1) -> b#(b(b(x1))) -> b#(c(x1)) -> d#(x1) 189.20/47.68 a#(x1) -> b#(b(b(x1))) -> b#(c(x1)) -> d#(d(x1)) 189.20/47.68 a#(x1) -> b#(b(x1)) -> b#(d(b(x1))) -> d#(x1) 189.20/47.68 a#(x1) -> b#(b(x1)) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.68 a#(x1) -> b#(b(x1)) -> b#(c(x1)) -> d#(x1) 189.20/47.68 a#(x1) -> b#(b(x1)) -> b#(c(x1)) -> d#(d(x1)) 189.20/47.68 a#(x1) -> b#(x1) -> b#(d(b(x1))) -> d#(x1) 189.20/47.68 a#(x1) -> b#(x1) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.68 a#(x1) -> b#(x1) -> b#(c(x1)) -> d#(x1) 189.20/47.68 a#(x1) -> b#(x1) -> b#(c(x1)) -> d#(d(x1)) 189.20/47.68 SCC Processor: 189.20/47.68 #sccs: 1 189.20/47.68 #rules: 6 189.20/47.68 #arcs: 30/144 189.20/47.68 DPs: 189.20/47.68 b#(d(b(x1))) -> a#(d(x1)) 189.20/47.68 a#(c(x1)) -> b#(b(c(d(x1)))) 189.20/47.68 a#(x1) -> b#(b(b(x1))) 189.20/47.68 a#(x1) -> b#(b(x1)) 189.20/47.68 a#(x1) -> b#(x1) 189.20/47.68 a#(d(x1)) -> b#(x1) 189.20/47.68 TRS: 189.20/47.68 a(d(x1)) -> d(b(x1)) 189.20/47.68 a(x1) -> b(b(b(x1))) 189.20/47.68 d(x1) -> x1 189.20/47.68 a(x1) -> x1 189.20/47.68 b(d(b(x1))) -> a(d(x1)) 189.20/47.68 b(c(x1)) -> c(d(d(x1))) 189.20/47.68 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.68 Arctic Interpretation Processor: 189.20/47.68 dimension: 1 189.20/47.68 usable rules: 189.20/47.68 a(d(x1)) -> d(b(x1)) 189.20/47.68 a(x1) -> b(b(b(x1))) 189.20/47.68 d(x1) -> x1 189.20/47.68 a(x1) -> x1 189.20/47.68 b(d(b(x1))) -> a(d(x1)) 189.20/47.68 b(c(x1)) -> c(d(d(x1))) 189.20/47.68 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.68 interpretation: 189.20/47.68 [b#](x0) = x0 + 0, 189.20/47.68 189.20/47.68 [a#](x0) = x0 + 2, 189.20/47.68 189.20/47.68 [c](x0) = 2, 189.20/47.68 189.20/47.68 [b](x0) = x0, 189.20/47.68 189.20/47.68 [a](x0) = x0 + 5, 189.20/47.68 189.20/47.68 [d](x0) = 1x0 + 9 189.20/47.68 orientation: 189.20/47.68 b#(d(b(x1))) = 1x1 + 9 >= 1x1 + 9 = a#(d(x1)) 189.20/47.68 189.20/47.68 a#(c(x1)) = 2 >= 2 = b#(b(c(d(x1)))) 189.20/47.68 189.20/47.68 a#(x1) = x1 + 2 >= x1 + 0 = b#(b(b(x1))) 189.20/47.68 189.20/47.68 a#(x1) = x1 + 2 >= x1 + 0 = b#(b(x1)) 189.20/47.68 189.20/47.68 a#(x1) = x1 + 2 >= x1 + 0 = b#(x1) 189.20/47.68 189.20/47.68 a#(d(x1)) = 1x1 + 9 >= x1 + 0 = b#(x1) 189.20/47.68 189.20/47.68 a(d(x1)) = 1x1 + 9 >= 1x1 + 9 = d(b(x1)) 189.20/47.68 189.20/47.68 a(x1) = x1 + 5 >= x1 = b(b(b(x1))) 189.20/47.68 189.20/47.68 d(x1) = 1x1 + 9 >= x1 = x1 189.20/47.68 189.20/47.68 a(x1) = x1 + 5 >= x1 = x1 189.20/47.68 189.20/47.68 b(d(b(x1))) = 1x1 + 9 >= 1x1 + 9 = a(d(x1)) 189.20/47.68 189.20/47.68 b(c(x1)) = 2 >= 2 = c(d(d(x1))) 189.20/47.68 189.20/47.68 a(c(x1)) = 5 >= 2 = b(b(c(d(x1)))) 189.20/47.68 problem: 189.20/47.68 DPs: 189.20/47.68 b#(d(b(x1))) -> a#(d(x1)) 189.20/47.68 a#(c(x1)) -> b#(b(c(d(x1)))) 189.20/47.68 a#(x1) -> b#(b(b(x1))) 189.20/47.68 a#(x1) -> b#(b(x1)) 189.20/47.68 a#(x1) -> b#(x1) 189.20/47.68 TRS: 189.20/47.68 a(d(x1)) -> d(b(x1)) 189.20/47.68 a(x1) -> b(b(b(x1))) 189.20/47.68 d(x1) -> x1 189.20/47.68 a(x1) -> x1 189.20/47.68 b(d(b(x1))) -> a(d(x1)) 189.20/47.68 b(c(x1)) -> c(d(d(x1))) 189.20/47.68 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.68 Restore Modifier: 189.20/47.68 DPs: 189.20/47.68 b#(d(b(x1))) -> a#(d(x1)) 189.20/47.68 a#(c(x1)) -> b#(b(c(d(x1)))) 189.20/47.68 a#(x1) -> b#(b(b(x1))) 189.20/47.68 a#(x1) -> b#(b(x1)) 189.20/47.68 a#(x1) -> b#(x1) 189.20/47.68 TRS: 189.20/47.68 a(d(x1)) -> d(b(x1)) 189.20/47.68 a(x1) -> b(b(b(x1))) 189.20/47.68 d(x1) -> x1 189.20/47.68 a(x1) -> x1 189.20/47.68 b(d(b(x1))) -> a(d(x1)) 189.20/47.68 b(c(x1)) -> c(d(d(x1))) 189.20/47.68 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.68 EDG Processor: 189.20/47.68 DPs: 189.20/47.68 b#(d(b(x1))) -> a#(d(x1)) 189.20/47.68 a#(c(x1)) -> b#(b(c(d(x1)))) 189.20/47.68 a#(x1) -> b#(b(b(x1))) 189.20/47.68 a#(x1) -> b#(b(x1)) 189.20/47.68 a#(x1) -> b#(x1) 189.20/47.68 TRS: 189.20/47.68 a(d(x1)) -> d(b(x1)) 189.20/47.68 a(x1) -> b(b(b(x1))) 189.20/47.68 d(x1) -> x1 189.20/47.68 a(x1) -> x1 189.20/47.68 b(d(b(x1))) -> a(d(x1)) 189.20/47.68 b(c(x1)) -> c(d(d(x1))) 189.20/47.68 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.68 graph: 189.20/47.68 b#(d(b(x1))) -> a#(d(x1)) -> a#(c(x1)) -> b#(b(c(d(x1)))) 189.20/47.68 b#(d(b(x1))) -> a#(d(x1)) -> a#(x1) -> b#(b(b(x1))) 189.20/47.68 b#(d(b(x1))) -> a#(d(x1)) -> a#(x1) -> b#(b(x1)) 189.20/47.68 b#(d(b(x1))) -> a#(d(x1)) -> a#(x1) -> b#(x1) 189.20/47.68 a#(c(x1)) -> b#(b(c(d(x1)))) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.68 a#(x1) -> b#(b(b(x1))) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.69 a#(x1) -> b#(b(x1)) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.69 a#(x1) -> b#(x1) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.69 Arctic Interpretation Processor: 189.20/47.69 dimension: 1 189.20/47.69 usable rules: 189.20/47.69 a(d(x1)) -> d(b(x1)) 189.20/47.69 a(x1) -> b(b(b(x1))) 189.20/47.69 d(x1) -> x1 189.20/47.69 a(x1) -> x1 189.20/47.69 b(d(b(x1))) -> a(d(x1)) 189.20/47.69 b(c(x1)) -> c(d(d(x1))) 189.20/47.69 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.69 interpretation: 189.20/47.69 [b#](x0) = x0 + 2, 189.20/47.69 189.20/47.69 [a#](x0) = x0 + 3, 189.20/47.69 189.20/47.69 [c](x0) = 0, 189.20/47.69 189.20/47.69 [b](x0) = x0 + 1, 189.20/47.69 189.20/47.69 [a](x0) = x0 + 4, 189.20/47.69 189.20/47.69 [d](x0) = x0 + 4 189.20/47.69 orientation: 189.20/47.69 b#(d(b(x1))) = x1 + 4 >= x1 + 4 = a#(d(x1)) 189.20/47.69 189.20/47.69 a#(c(x1)) = 3 >= 2 = b#(b(c(d(x1)))) 189.20/47.69 189.20/47.69 a#(x1) = x1 + 3 >= x1 + 2 = b#(b(b(x1))) 189.20/47.69 189.20/47.69 a#(x1) = x1 + 3 >= x1 + 2 = b#(b(x1)) 189.20/47.69 189.20/47.69 a#(x1) = x1 + 3 >= x1 + 2 = b#(x1) 189.20/47.69 189.20/47.69 a(d(x1)) = x1 + 4 >= x1 + 4 = d(b(x1)) 189.20/47.69 189.20/47.69 a(x1) = x1 + 4 >= x1 + 1 = b(b(b(x1))) 189.20/47.69 189.20/47.69 d(x1) = x1 + 4 >= x1 = x1 189.20/47.69 189.20/47.69 a(x1) = x1 + 4 >= x1 = x1 189.20/47.69 189.20/47.69 b(d(b(x1))) = x1 + 4 >= x1 + 4 = a(d(x1)) 189.20/47.69 189.20/47.69 b(c(x1)) = 1 >= 0 = c(d(d(x1))) 189.20/47.69 189.20/47.69 a(c(x1)) = 4 >= 1 = b(b(c(d(x1)))) 189.20/47.69 problem: 189.20/47.69 DPs: 189.20/47.69 b#(d(b(x1))) -> a#(d(x1)) 189.20/47.69 a#(x1) -> b#(b(b(x1))) 189.20/47.69 a#(x1) -> b#(b(x1)) 189.20/47.69 a#(x1) -> b#(x1) 189.20/47.69 TRS: 189.20/47.69 a(d(x1)) -> d(b(x1)) 189.20/47.69 a(x1) -> b(b(b(x1))) 189.20/47.69 d(x1) -> x1 189.20/47.69 a(x1) -> x1 189.20/47.69 b(d(b(x1))) -> a(d(x1)) 189.20/47.69 b(c(x1)) -> c(d(d(x1))) 189.20/47.69 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.69 Restore Modifier: 189.20/47.69 DPs: 189.20/47.69 b#(d(b(x1))) -> a#(d(x1)) 189.20/47.69 a#(x1) -> b#(b(b(x1))) 189.20/47.69 a#(x1) -> b#(b(x1)) 189.20/47.69 a#(x1) -> b#(x1) 189.20/47.69 TRS: 189.20/47.69 a(d(x1)) -> d(b(x1)) 189.20/47.69 a(x1) -> b(b(b(x1))) 189.20/47.69 d(x1) -> x1 189.20/47.69 a(x1) -> x1 189.20/47.69 b(d(b(x1))) -> a(d(x1)) 189.20/47.69 b(c(x1)) -> c(d(d(x1))) 189.20/47.69 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.69 EDG Processor: 189.20/47.69 DPs: 189.20/47.69 b#(d(b(x1))) -> a#(d(x1)) 189.20/47.69 a#(x1) -> b#(b(b(x1))) 189.20/47.69 a#(x1) -> b#(b(x1)) 189.20/47.69 a#(x1) -> b#(x1) 189.20/47.69 TRS: 189.20/47.69 a(d(x1)) -> d(b(x1)) 189.20/47.69 a(x1) -> b(b(b(x1))) 189.20/47.69 d(x1) -> x1 189.20/47.69 a(x1) -> x1 189.20/47.69 b(d(b(x1))) -> a(d(x1)) 189.20/47.69 b(c(x1)) -> c(d(d(x1))) 189.20/47.69 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.69 graph: 189.20/47.69 b#(d(b(x1))) -> a#(d(x1)) -> a#(x1) -> b#(x1) 189.20/47.69 b#(d(b(x1))) -> a#(d(x1)) -> a#(x1) -> b#(b(x1)) 189.20/47.69 b#(d(b(x1))) -> a#(d(x1)) -> a#(x1) -> b#(b(b(x1))) 189.20/47.69 a#(x1) -> b#(b(b(x1))) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.69 a#(x1) -> b#(b(x1)) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.69 a#(x1) -> b#(x1) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.69 Matrix Interpretation Processor: dim=1 189.20/47.69 189.20/47.69 interpretation: 189.20/47.69 [b#](x0) = 8x0, 189.20/47.69 189.20/47.69 [a#](x0) = 8x0 + 16, 189.20/47.69 189.20/47.69 [c](x0) = 13, 189.20/47.69 189.20/47.69 [b](x0) = x0 + 1, 189.20/47.69 189.20/47.69 [a](x0) = x0 + 3, 189.20/47.69 189.20/47.69 [d](x0) = 2x0 189.20/47.69 orientation: 189.20/47.69 b#(d(b(x1))) = 16x1 + 16 >= 16x1 + 16 = a#(d(x1)) 189.20/47.69 189.20/47.69 a#(x1) = 8x1 + 16 >= 8x1 + 16 = b#(b(b(x1))) 189.20/47.69 189.20/47.69 a#(x1) = 8x1 + 16 >= 8x1 + 8 = b#(b(x1)) 189.20/47.69 189.20/47.69 a#(x1) = 8x1 + 16 >= 8x1 = b#(x1) 189.20/47.69 189.20/47.69 a(d(x1)) = 2x1 + 3 >= 2x1 + 2 = d(b(x1)) 189.20/47.69 189.20/47.69 a(x1) = x1 + 3 >= x1 + 3 = b(b(b(x1))) 189.20/47.69 189.20/47.69 d(x1) = 2x1 >= x1 = x1 189.20/47.69 189.20/47.69 a(x1) = x1 + 3 >= x1 = x1 189.20/47.69 189.20/47.69 b(d(b(x1))) = 2x1 + 3 >= 2x1 + 3 = a(d(x1)) 189.20/47.69 189.20/47.69 b(c(x1)) = 14 >= 13 = c(d(d(x1))) 189.20/47.69 189.20/47.69 a(c(x1)) = 16 >= 15 = b(b(c(d(x1)))) 189.20/47.69 problem: 189.20/47.69 DPs: 189.20/47.70 b#(d(b(x1))) -> a#(d(x1)) 189.20/47.70 a#(x1) -> b#(b(b(x1))) 189.20/47.70 TRS: 189.20/47.70 a(d(x1)) -> d(b(x1)) 189.20/47.70 a(x1) -> b(b(b(x1))) 189.20/47.70 d(x1) -> x1 189.20/47.70 a(x1) -> x1 189.20/47.70 b(d(b(x1))) -> a(d(x1)) 189.20/47.70 b(c(x1)) -> c(d(d(x1))) 189.20/47.70 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.70 Restore Modifier: 189.20/47.70 DPs: 189.20/47.70 b#(d(b(x1))) -> a#(d(x1)) 189.20/47.70 a#(x1) -> b#(b(b(x1))) 189.20/47.70 TRS: 189.20/47.70 a(d(x1)) -> d(b(x1)) 189.20/47.70 a(x1) -> b(b(b(x1))) 189.20/47.70 d(x1) -> x1 189.20/47.70 a(x1) -> x1 189.20/47.70 b(d(b(x1))) -> a(d(x1)) 189.20/47.70 b(c(x1)) -> c(d(d(x1))) 189.20/47.70 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.70 EDG Processor: 189.20/47.70 DPs: 189.20/47.70 b#(d(b(x1))) -> a#(d(x1)) 189.20/47.70 a#(x1) -> b#(b(b(x1))) 189.20/47.70 TRS: 189.20/47.70 a(d(x1)) -> d(b(x1)) 189.20/47.70 a(x1) -> b(b(b(x1))) 189.20/47.70 d(x1) -> x1 189.20/47.70 a(x1) -> x1 189.20/47.70 b(d(b(x1))) -> a(d(x1)) 189.20/47.70 b(c(x1)) -> c(d(d(x1))) 189.20/47.70 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.70 graph: 189.20/47.70 b#(d(b(x1))) -> a#(d(x1)) -> a#(x1) -> b#(b(b(x1))) 189.20/47.70 a#(x1) -> b#(b(b(x1))) -> b#(d(b(x1))) -> a#(d(x1)) 189.20/47.70 Matrix Interpretation Processor: dim=3 189.20/47.70 189.20/47.70 interpretation: 189.20/47.70 [b#](x0) = [0 0 1]x0, 189.20/47.70 189.20/47.70 [a#](x0) = [0 1 0]x0, 189.20/47.70 189.20/47.70 [0] 189.20/47.70 [c](x0) = [0] 189.20/47.70 [0], 189.20/47.70 189.20/47.70 [0 1 0] [0] 189.20/47.70 [b](x0) = [0 0 1]x0 + [1] 189.20/47.70 [1 0 0] [0], 189.20/47.70 189.20/47.70 [1] 189.20/47.70 [a](x0) = x0 + [1] 189.20/47.70 [1], 189.20/47.70 189.20/47.70 [1 1 1] 189.20/47.70 [d](x0) = [1 1 1]x0 189.20/47.70 [1 1 1] 189.20/47.70 orientation: 189.20/47.70 b#(d(b(x1))) = [1 1 1]x1 + [1] >= [1 1 1]x1 = a#(d(x1)) 189.20/47.70 189.20/47.70 a#(x1) = [0 1 0]x1 >= [0 1 0]x1 = b#(b(b(x1))) 189.20/47.70 189.20/47.70 [1 1 1] [1] [1 1 1] [1] 189.20/47.70 a(d(x1)) = [1 1 1]x1 + [1] >= [1 1 1]x1 + [1] = d(b(x1)) 189.20/47.70 [1 1 1] [1] [1 1 1] [1] 189.20/47.70 189.20/47.70 [1] [1] 189.20/47.70 a(x1) = x1 + [1] >= x1 + [1] = b(b(b(x1))) 189.20/47.70 [1] [1] 189.20/47.70 189.20/47.70 [1 1 1] 189.20/47.70 d(x1) = [1 1 1]x1 >= x1 = x1 189.20/47.70 [1 1 1] 189.20/47.70 189.20/47.70 [1] 189.20/47.70 a(x1) = x1 + [1] >= x1 = x1 189.20/47.70 [1] 189.20/47.70 189.20/47.70 [1 1 1] [1] [1 1 1] [1] 189.20/47.70 b(d(b(x1))) = [1 1 1]x1 + [2] >= [1 1 1]x1 + [1] = a(d(x1)) 189.20/47.70 [1 1 1] [1] [1 1 1] [1] 189.20/47.70 189.20/47.70 [0] [0] 189.20/47.70 b(c(x1)) = [1] >= [0] = c(d(d(x1))) 189.20/47.70 [0] [0] 189.20/47.70 189.20/47.70 [1] [1] 189.20/47.70 a(c(x1)) = [1] >= [1] = b(b(c(d(x1)))) 189.20/47.70 [1] [0] 189.20/47.70 problem: 189.20/47.70 DPs: 189.20/47.70 a#(x1) -> b#(b(b(x1))) 189.20/47.70 TRS: 189.20/47.70 a(d(x1)) -> d(b(x1)) 189.20/47.70 a(x1) -> b(b(b(x1))) 189.20/47.70 d(x1) -> x1 189.20/47.70 a(x1) -> x1 189.20/47.70 b(d(b(x1))) -> a(d(x1)) 189.20/47.70 b(c(x1)) -> c(d(d(x1))) 189.20/47.70 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.70 Restore Modifier: 189.20/47.70 DPs: 189.20/47.70 a#(x1) -> b#(b(b(x1))) 189.20/47.70 TRS: 189.20/47.70 a(d(x1)) -> d(b(x1)) 189.20/47.70 a(x1) -> b(b(b(x1))) 189.20/47.70 d(x1) -> x1 189.20/47.70 a(x1) -> x1 189.20/47.70 b(d(b(x1))) -> a(d(x1)) 189.20/47.70 b(c(x1)) -> c(d(d(x1))) 189.20/47.70 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.70 EDG Processor: 189.20/47.70 DPs: 189.20/47.70 a#(x1) -> b#(b(b(x1))) 189.20/47.70 TRS: 189.20/47.70 a(d(x1)) -> d(b(x1)) 189.20/47.70 a(x1) -> b(b(b(x1))) 189.20/47.70 d(x1) -> x1 189.20/47.70 a(x1) -> x1 189.20/47.70 b(d(b(x1))) -> a(d(x1)) 189.20/47.70 b(c(x1)) -> c(d(d(x1))) 189.20/47.70 a(c(x1)) -> b(b(c(d(x1)))) 189.20/47.70 graph: 189.20/47.70 189.20/47.70 SCC Processor: 189.20/47.70 #sccs: 0 189.20/47.70 #rules: 0 189.20/47.70 #arcs: 0/1 189.20/47.70 189.20/47.70 EOF