YES Problem: a(c(x1)) -> c(b(c(c(a(x1))))) b(b(b(x1))) -> c(b(x1)) d(d(x1)) -> d(b(d(b(d(x1))))) a(a(x1)) -> a(d(a(x1))) a(b(x1)) -> c(c(a(x1))) c(c(x1)) -> c(b(c(b(c(x1))))) c(c(c(x1))) -> c(b(b(x1))) Proof: DP Processor: DPs: a#(c(x1)) -> a#(x1) a#(c(x1)) -> c#(a(x1)) a#(c(x1)) -> c#(c(a(x1))) a#(c(x1)) -> b#(c(c(a(x1)))) a#(c(x1)) -> c#(b(c(c(a(x1))))) b#(b(b(x1))) -> c#(b(x1)) d#(d(x1)) -> b#(d(x1)) d#(d(x1)) -> d#(b(d(x1))) d#(d(x1)) -> b#(d(b(d(x1)))) d#(d(x1)) -> d#(b(d(b(d(x1))))) a#(a(x1)) -> d#(a(x1)) a#(a(x1)) -> a#(d(a(x1))) a#(b(x1)) -> a#(x1) a#(b(x1)) -> c#(a(x1)) a#(b(x1)) -> c#(c(a(x1))) c#(c(x1)) -> b#(c(x1)) c#(c(x1)) -> c#(b(c(x1))) c#(c(x1)) -> b#(c(b(c(x1)))) c#(c(x1)) -> c#(b(c(b(c(x1))))) c#(c(c(x1))) -> b#(x1) c#(c(c(x1))) -> b#(b(x1)) c#(c(c(x1))) -> c#(b(b(x1))) TRS: a(c(x1)) -> c(b(c(c(a(x1))))) b(b(b(x1))) -> c(b(x1)) d(d(x1)) -> d(b(d(b(d(x1))))) a(a(x1)) -> a(d(a(x1))) a(b(x1)) -> c(c(a(x1))) c(c(x1)) -> c(b(c(b(c(x1))))) c(c(c(x1))) -> c(b(b(x1))) TDG Processor: DPs: a#(c(x1)) -> a#(x1) a#(c(x1)) -> c#(a(x1)) a#(c(x1)) -> c#(c(a(x1))) a#(c(x1)) -> b#(c(c(a(x1)))) a#(c(x1)) -> c#(b(c(c(a(x1))))) b#(b(b(x1))) -> c#(b(x1)) d#(d(x1)) -> b#(d(x1)) d#(d(x1)) -> d#(b(d(x1))) d#(d(x1)) -> b#(d(b(d(x1)))) d#(d(x1)) -> d#(b(d(b(d(x1))))) a#(a(x1)) -> d#(a(x1)) a#(a(x1)) -> a#(d(a(x1))) a#(b(x1)) -> a#(x1) a#(b(x1)) -> c#(a(x1)) a#(b(x1)) -> c#(c(a(x1))) c#(c(x1)) -> b#(c(x1)) c#(c(x1)) -> c#(b(c(x1))) c#(c(x1)) -> b#(c(b(c(x1)))) c#(c(x1)) -> c#(b(c(b(c(x1))))) c#(c(c(x1))) -> b#(x1) c#(c(c(x1))) -> b#(b(x1)) c#(c(c(x1))) -> c#(b(b(x1))) TRS: a(c(x1)) -> c(b(c(c(a(x1))))) b(b(b(x1))) -> c(b(x1)) d(d(x1)) -> d(b(d(b(d(x1))))) a(a(x1)) -> a(d(a(x1))) a(b(x1)) -> c(c(a(x1))) c(c(x1)) -> c(b(c(b(c(x1))))) c(c(c(x1))) -> c(b(b(x1))) graph: d#(d(x1)) -> d#(b(d(b(d(x1))))) -> d#(d(x1)) -> d#(b(d(b(d(x1))))) d#(d(x1)) -> d#(b(d(b(d(x1))))) -> d#(d(x1)) -> b#(d(b(d(x1)))) d#(d(x1)) -> d#(b(d(b(d(x1))))) -> d#(d(x1)) -> d#(b(d(x1))) d#(d(x1)) -> d#(b(d(b(d(x1))))) -> d#(d(x1)) -> b#(d(x1)) d#(d(x1)) -> d#(b(d(x1))) -> d#(d(x1)) -> d#(b(d(b(d(x1))))) d#(d(x1)) -> d#(b(d(x1))) -> d#(d(x1)) -> b#(d(b(d(x1)))) d#(d(x1)) -> d#(b(d(x1))) -> d#(d(x1)) -> d#(b(d(x1))) d#(d(x1)) -> d#(b(d(x1))) -> d#(d(x1)) -> b#(d(x1)) d#(d(x1)) -> b#(d(b(d(x1)))) -> b#(b(b(x1))) -> c#(b(x1)) d#(d(x1)) -> b#(d(x1)) -> b#(b(b(x1))) -> c#(b(x1)) b#(b(b(x1))) -> c#(b(x1)) -> c#(c(c(x1))) -> c#(b(b(x1))) b#(b(b(x1))) -> c#(b(x1)) -> c#(c(c(x1))) -> b#(b(x1)) b#(b(b(x1))) -> c#(b(x1)) -> c#(c(c(x1))) -> b#(x1) b#(b(b(x1))) -> c#(b(x1)) -> c#(c(x1)) -> c#(b(c(b(c(x1))))) b#(b(b(x1))) -> c#(b(x1)) -> c#(c(x1)) -> b#(c(b(c(x1)))) b#(b(b(x1))) -> c#(b(x1)) -> c#(c(x1)) -> c#(b(c(x1))) b#(b(b(x1))) -> c#(b(x1)) -> c#(c(x1)) -> b#(c(x1)) c#(c(c(x1))) -> b#(b(x1)) -> b#(b(b(x1))) -> c#(b(x1)) c#(c(c(x1))) -> b#(x1) -> b#(b(b(x1))) -> c#(b(x1)) c#(c(c(x1))) -> c#(b(b(x1))) -> c#(c(c(x1))) -> c#(b(b(x1))) c#(c(c(x1))) -> c#(b(b(x1))) -> c#(c(c(x1))) -> b#(b(x1)) c#(c(c(x1))) -> c#(b(b(x1))) -> c#(c(c(x1))) -> b#(x1) c#(c(c(x1))) -> c#(b(b(x1))) -> c#(c(x1)) -> c#(b(c(b(c(x1))))) c#(c(c(x1))) -> c#(b(b(x1))) -> c#(c(x1)) -> b#(c(b(c(x1)))) c#(c(c(x1))) -> c#(b(b(x1))) -> c#(c(x1)) -> c#(b(c(x1))) c#(c(c(x1))) -> c#(b(b(x1))) -> c#(c(x1)) -> b#(c(x1)) c#(c(x1)) -> b#(c(b(c(x1)))) -> b#(b(b(x1))) -> c#(b(x1)) c#(c(x1)) -> b#(c(x1)) -> b#(b(b(x1))) -> c#(b(x1)) c#(c(x1)) -> c#(b(c(b(c(x1))))) -> c#(c(c(x1))) -> c#(b(b(x1))) c#(c(x1)) -> c#(b(c(b(c(x1))))) -> c#(c(c(x1))) -> b#(b(x1)) c#(c(x1)) -> c#(b(c(b(c(x1))))) -> c#(c(c(x1))) -> b#(x1) c#(c(x1)) -> c#(b(c(b(c(x1))))) -> c#(c(x1)) -> c#(b(c(b(c(x1))))) c#(c(x1)) -> c#(b(c(b(c(x1))))) -> c#(c(x1)) -> b#(c(b(c(x1)))) c#(c(x1)) -> c#(b(c(b(c(x1))))) -> c#(c(x1)) -> c#(b(c(x1))) c#(c(x1)) -> c#(b(c(b(c(x1))))) -> c#(c(x1)) -> b#(c(x1)) c#(c(x1)) -> c#(b(c(x1))) -> c#(c(c(x1))) -> c#(b(b(x1))) c#(c(x1)) -> c#(b(c(x1))) -> c#(c(c(x1))) -> b#(b(x1)) c#(c(x1)) -> c#(b(c(x1))) -> c#(c(c(x1))) -> b#(x1) c#(c(x1)) -> c#(b(c(x1))) -> c#(c(x1)) -> c#(b(c(b(c(x1))))) c#(c(x1)) -> c#(b(c(x1))) -> c#(c(x1)) -> b#(c(b(c(x1)))) c#(c(x1)) -> c#(b(c(x1))) -> c#(c(x1)) -> c#(b(c(x1))) c#(c(x1)) -> c#(b(c(x1))) -> c#(c(x1)) -> b#(c(x1)) a#(b(x1)) -> c#(a(x1)) -> c#(c(c(x1))) -> c#(b(b(x1))) a#(b(x1)) -> c#(a(x1)) -> c#(c(c(x1))) -> b#(b(x1)) a#(b(x1)) -> c#(a(x1)) -> c#(c(c(x1))) -> b#(x1) a#(b(x1)) -> c#(a(x1)) -> c#(c(x1)) -> c#(b(c(b(c(x1))))) a#(b(x1)) -> c#(a(x1)) -> c#(c(x1)) -> b#(c(b(c(x1)))) a#(b(x1)) -> c#(a(x1)) -> c#(c(x1)) -> c#(b(c(x1))) a#(b(x1)) -> c#(a(x1)) -> c#(c(x1)) -> b#(c(x1)) a#(b(x1)) -> c#(c(a(x1))) -> c#(c(c(x1))) -> c#(b(b(x1))) a#(b(x1)) -> c#(c(a(x1))) -> c#(c(c(x1))) -> b#(b(x1)) a#(b(x1)) -> c#(c(a(x1))) -> c#(c(c(x1))) -> b#(x1) a#(b(x1)) -> c#(c(a(x1))) -> c#(c(x1)) -> c#(b(c(b(c(x1))))) a#(b(x1)) -> c#(c(a(x1))) -> c#(c(x1)) -> b#(c(b(c(x1)))) a#(b(x1)) -> c#(c(a(x1))) -> c#(c(x1)) -> c#(b(c(x1))) a#(b(x1)) -> c#(c(a(x1))) -> c#(c(x1)) -> b#(c(x1)) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> c#(c(a(x1))) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> c#(a(x1)) a#(b(x1)) -> a#(x1) -> a#(b(x1)) -> a#(x1) a#(b(x1)) -> a#(x1) -> a#(a(x1)) -> a#(d(a(x1))) a#(b(x1)) -> a#(x1) -> a#(a(x1)) -> d#(a(x1)) a#(b(x1)) -> a#(x1) -> a#(c(x1)) -> c#(b(c(c(a(x1))))) a#(b(x1)) -> a#(x1) -> a#(c(x1)) -> b#(c(c(a(x1)))) a#(b(x1)) -> a#(x1) -> a#(c(x1)) -> c#(c(a(x1))) a#(b(x1)) -> a#(x1) -> a#(c(x1)) -> c#(a(x1)) a#(b(x1)) -> a#(x1) -> a#(c(x1)) -> a#(x1) a#(a(x1)) -> d#(a(x1)) -> d#(d(x1)) -> d#(b(d(b(d(x1))))) a#(a(x1)) -> d#(a(x1)) -> d#(d(x1)) -> b#(d(b(d(x1)))) a#(a(x1)) -> d#(a(x1)) -> d#(d(x1)) -> d#(b(d(x1))) a#(a(x1)) -> d#(a(x1)) -> d#(d(x1)) -> b#(d(x1)) a#(a(x1)) -> a#(d(a(x1))) -> a#(b(x1)) -> c#(c(a(x1))) a#(a(x1)) -> a#(d(a(x1))) -> a#(b(x1)) -> c#(a(x1)) a#(a(x1)) -> a#(d(a(x1))) -> a#(b(x1)) -> a#(x1) a#(a(x1)) -> a#(d(a(x1))) -> a#(a(x1)) -> a#(d(a(x1))) a#(a(x1)) -> a#(d(a(x1))) -> a#(a(x1)) -> d#(a(x1)) a#(a(x1)) -> a#(d(a(x1))) -> a#(c(x1)) -> c#(b(c(c(a(x1))))) a#(a(x1)) -> a#(d(a(x1))) -> a#(c(x1)) -> b#(c(c(a(x1)))) a#(a(x1)) -> a#(d(a(x1))) -> a#(c(x1)) -> c#(c(a(x1))) a#(a(x1)) -> a#(d(a(x1))) -> a#(c(x1)) -> c#(a(x1)) a#(a(x1)) -> a#(d(a(x1))) -> a#(c(x1)) -> a#(x1) a#(c(x1)) -> b#(c(c(a(x1)))) -> b#(b(b(x1))) -> c#(b(x1)) a#(c(x1)) -> c#(b(c(c(a(x1))))) -> c#(c(c(x1))) -> c#(b(b(x1))) a#(c(x1)) -> c#(b(c(c(a(x1))))) -> c#(c(c(x1))) -> b#(b(x1)) a#(c(x1)) -> c#(b(c(c(a(x1))))) -> c#(c(c(x1))) -> b#(x1) a#(c(x1)) -> c#(b(c(c(a(x1))))) -> c#(c(x1)) -> c#(b(c(b(c(x1))))) a#(c(x1)) -> c#(b(c(c(a(x1))))) -> c#(c(x1)) -> b#(c(b(c(x1)))) a#(c(x1)) -> c#(b(c(c(a(x1))))) -> c#(c(x1)) -> c#(b(c(x1))) a#(c(x1)) -> c#(b(c(c(a(x1))))) -> c#(c(x1)) -> b#(c(x1)) a#(c(x1)) -> c#(a(x1)) -> c#(c(c(x1))) -> c#(b(b(x1))) a#(c(x1)) -> c#(a(x1)) -> c#(c(c(x1))) -> b#(b(x1)) a#(c(x1)) -> c#(a(x1)) -> c#(c(c(x1))) -> b#(x1) a#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> c#(b(c(b(c(x1))))) a#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> b#(c(b(c(x1)))) a#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> c#(b(c(x1))) a#(c(x1)) -> c#(a(x1)) -> c#(c(x1)) -> b#(c(x1)) a#(c(x1)) -> c#(c(a(x1))) -> c#(c(c(x1))) -> c#(b(b(x1))) a#(c(x1)) -> c#(c(a(x1))) -> c#(c(c(x1))) -> b#(b(x1)) a#(c(x1)) -> c#(c(a(x1))) -> c#(c(c(x1))) -> b#(x1) a#(c(x1)) -> c#(c(a(x1))) -> c#(c(x1)) -> c#(b(c(b(c(x1))))) a#(c(x1)) -> c#(c(a(x1))) -> c#(c(x1)) -> b#(c(b(c(x1)))) a#(c(x1)) -> c#(c(a(x1))) -> c#(c(x1)) -> c#(b(c(x1))) a#(c(x1)) -> c#(c(a(x1))) -> c#(c(x1)) -> b#(c(x1)) a#(c(x1)) -> a#(x1) -> a#(b(x1)) -> c#(c(a(x1))) a#(c(x1)) -> a#(x1) -> a#(b(x1)) -> c#(a(x1)) a#(c(x1)) -> a#(x1) -> a#(b(x1)) -> a#(x1) a#(c(x1)) -> a#(x1) -> a#(a(x1)) -> a#(d(a(x1))) a#(c(x1)) -> a#(x1) -> a#(a(x1)) -> d#(a(x1)) a#(c(x1)) -> a#(x1) -> a#(c(x1)) -> c#(b(c(c(a(x1))))) a#(c(x1)) -> a#(x1) -> a#(c(x1)) -> b#(c(c(a(x1)))) a#(c(x1)) -> a#(x1) -> a#(c(x1)) -> c#(c(a(x1))) a#(c(x1)) -> a#(x1) -> a#(c(x1)) -> c#(a(x1)) a#(c(x1)) -> a#(x1) -> a#(c(x1)) -> a#(x1) SCC Processor: #sccs: 3 #rules: 13 #arcs: 112/484 DPs: a#(b(x1)) -> a#(x1) a#(c(x1)) -> a#(x1) a#(a(x1)) -> a#(d(a(x1))) TRS: a(c(x1)) -> c(b(c(c(a(x1))))) b(b(b(x1))) -> c(b(x1)) d(d(x1)) -> d(b(d(b(d(x1))))) a(a(x1)) -> a(d(a(x1))) a(b(x1)) -> c(c(a(x1))) c(c(x1)) -> c(b(c(b(c(x1))))) c(c(c(x1))) -> c(b(b(x1))) Polynomial Interpretation Processor: dimension: 1 usable rules: d(d(x1)) -> d(b(d(b(d(x1))))) interpretation: [a#](x0) = x0 + 1, [a](x0) = 0, [d](x0) = 0, [c](x0) = x0 + 1, [b](x0) = x0 + 1 orientation: a#(b(x1)) = x1 + 2 >= x1 + 1 = a#(x1) a#(c(x1)) = x1 + 2 >= x1 + 1 = a#(x1) a#(a(x1)) = 1 >= 1 = a#(d(a(x1))) a(c(x1)) = 0 >= 4 = c(b(c(c(a(x1))))) b(b(b(x1))) = x1 + 3 >= x1 + 2 = c(b(x1)) d(d(x1)) = 0 >= 0 = d(b(d(b(d(x1))))) a(a(x1)) = 0 >= 0 = a(d(a(x1))) a(b(x1)) = 0 >= 2 = c(c(a(x1))) c(c(x1)) = x1 + 2 >= x1 + 5 = c(b(c(b(c(x1))))) c(c(c(x1))) = x1 + 3 >= x1 + 3 = c(b(b(x1))) problem: DPs: a#(a(x1)) -> a#(d(a(x1))) TRS: a(c(x1)) -> c(b(c(c(a(x1))))) b(b(b(x1))) -> c(b(x1)) d(d(x1)) -> d(b(d(b(d(x1))))) a(a(x1)) -> a(d(a(x1))) a(b(x1)) -> c(c(a(x1))) c(c(x1)) -> c(b(c(b(c(x1))))) c(c(c(x1))) -> c(b(b(x1))) Polynomial Interpretation Processor: dimension: 1 usable rules: d(d(x1)) -> d(b(d(b(d(x1))))) interpretation: [a#](x0) = x0, [a](x0) = 1, [d](x0) = 0, [c](x0) = 0, [b](x0) = 0 orientation: a#(a(x1)) = 1 >= 0 = a#(d(a(x1))) a(c(x1)) = 1 >= 0 = c(b(c(c(a(x1))))) b(b(b(x1))) = 0 >= 0 = c(b(x1)) d(d(x1)) = 0 >= 0 = d(b(d(b(d(x1))))) a(a(x1)) = 1 >= 1 = a(d(a(x1))) a(b(x1)) = 1 >= 0 = c(c(a(x1))) c(c(x1)) = 0 >= 0 = c(b(c(b(c(x1))))) c(c(c(x1))) = 0 >= 0 = c(b(b(x1))) problem: DPs: TRS: a(c(x1)) -> c(b(c(c(a(x1))))) b(b(b(x1))) -> c(b(x1)) d(d(x1)) -> d(b(d(b(d(x1))))) a(a(x1)) -> a(d(a(x1))) a(b(x1)) -> c(c(a(x1))) c(c(x1)) -> c(b(c(b(c(x1))))) c(c(c(x1))) -> c(b(b(x1))) Qed DPs: d#(d(x1)) -> d#(b(d(b(d(x1))))) d#(d(x1)) -> d#(b(d(x1))) TRS: a(c(x1)) -> c(b(c(c(a(x1))))) b(b(b(x1))) -> c(b(x1)) d(d(x1)) -> d(b(d(b(d(x1))))) a(a(x1)) -> a(d(a(x1))) a(b(x1)) -> c(c(a(x1))) c(c(x1)) -> c(b(c(b(c(x1))))) c(c(c(x1))) -> c(b(b(x1))) Usable Rule Processor: DPs: d#(d(x1)) -> d#(b(d(b(d(x1))))) d#(d(x1)) -> d#(b(d(x1))) TRS: d(d(x1)) -> d(b(d(b(d(x1))))) b(b(b(x1))) -> c(b(x1)) c(c(x1)) -> c(b(c(b(c(x1))))) c(c(c(x1))) -> c(b(b(x1))) Polynomial Interpretation Processor: dimension: 1 usable rules: b(b(b(x1))) -> c(b(x1)) c(c(x1)) -> c(b(c(b(c(x1))))) c(c(c(x1))) -> c(b(b(x1))) interpretation: [d](x0) = 1, [c](x0) = 0, [d#](x0) = x0, [b](x0) = 0 orientation: d#(d(x1)) = 1 >= 0 = d#(b(d(b(d(x1))))) d#(d(x1)) = 1 >= 0 = d#(b(d(x1))) d(d(x1)) = 1 >= 1 = d(b(d(b(d(x1))))) b(b(b(x1))) = 0 >= 0 = c(b(x1)) c(c(x1)) = 0 >= 0 = c(b(c(b(c(x1))))) c(c(c(x1))) = 0 >= 0 = c(b(b(x1))) problem: DPs: TRS: d(d(x1)) -> d(b(d(b(d(x1))))) b(b(b(x1))) -> c(b(x1)) c(c(x1)) -> c(b(c(b(c(x1))))) c(c(c(x1))) -> c(b(b(x1))) Qed DPs: b#(b(b(x1))) -> c#(b(x1)) c#(c(x1)) -> b#(c(x1)) c#(c(x1)) -> c#(b(c(x1))) c#(c(x1)) -> b#(c(b(c(x1)))) c#(c(x1)) -> c#(b(c(b(c(x1))))) c#(c(c(x1))) -> b#(x1) c#(c(c(x1))) -> b#(b(x1)) c#(c(c(x1))) -> c#(b(b(x1))) TRS: a(c(x1)) -> c(b(c(c(a(x1))))) b(b(b(x1))) -> c(b(x1)) d(d(x1)) -> d(b(d(b(d(x1))))) a(a(x1)) -> a(d(a(x1))) a(b(x1)) -> c(c(a(x1))) c(c(x1)) -> c(b(c(b(c(x1))))) c(c(c(x1))) -> c(b(b(x1))) Usable Rule Processor: DPs: b#(b(b(x1))) -> c#(b(x1)) c#(c(x1)) -> b#(c(x1)) c#(c(x1)) -> c#(b(c(x1))) c#(c(x1)) -> b#(c(b(c(x1)))) c#(c(x1)) -> c#(b(c(b(c(x1))))) c#(c(c(x1))) -> b#(x1) c#(c(c(x1))) -> b#(b(x1)) c#(c(c(x1))) -> c#(b(b(x1))) TRS: b(b(b(x1))) -> c(b(x1)) c(c(x1)) -> c(b(c(b(c(x1))))) c(c(c(x1))) -> c(b(b(x1))) Root-Labeling Processor: DPs: b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) TRS: f8(b)(b(b)(b(b)(b(f8)(x1)))) -> f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) -> f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) -> f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) -> b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) -> c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(f8)(x1))) -> c(b)(b(b)(b(f8)(x1))) c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) TDG Processor: DPs: b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) TRS: f8(b)(b(b)(b(b)(b(f8)(x1)))) -> f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) -> f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) -> f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) -> b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) -> c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(f8)(x1))) -> c(b)(b(b)(b(f8)(x1))) c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) graph: c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) -> b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) -> b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) -> b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) -> b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) -> b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) -> b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) -> b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) -> b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) -> b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(b)(b(f8)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(b)(b(f8)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(b)(b(f8)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) -> b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) -> b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) -> b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) -> b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) -> b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) -> b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) -> b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) -> b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) -> b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(b)(b(f8)(x1))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(b)(b(f8)(x1))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(b)(b(f8)(x1))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) -> c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) Polynomial Interpretation Processor: dimension: 1 interpretation: [c(c)](x0) = x0, [f8(c)](x0) = x0, [c(f8)](x0) = x0 + 1, [f8(f8)](x0) = x0 + 1, [c(b)](x0) = x0, [f8(b)](x0) = x0, [b(c)](x0) = x0, [b(f8)](x0) = x0, [b(b)](x0) = x0, [b{#,(f8)}](x0) = x0, [c{#,(f8)}](x0) = x0 orientation: b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) = x1 >= x1 = c{#,(f8)}(f8(b)(b(f8)(x1))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) = x1 >= x1 = c{#,(f8)}(f8(b)(b(b)(x1))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) = x1 >= x1 = c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) = x1 + 1 >= x1 + 1 = b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) = x1 >= x1 = b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) = x1 >= x1 = b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) = x1 >= x1 = c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) = x1 >= x1 = c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) = x1 + 1 >= x1 + 1 = b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) c{#,(f8)}(f8(c)(c(b)(x1))) = x1 >= x1 = b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) = x1 >= x1 = b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(f8)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) c{#,(f8)}(f8(c)(c(b)(x1))) = x1 >= x1 = c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(c)(x1))) = x1 >= x1 = c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) = x1 + 1 >= x1 + 1 = b{#,(f8)}(f8(f8)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = x1 >= x1 = b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = x1 >= x1 = b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) = x1 + 1 >= x1 = b{#,(f8)}(f8(b)(b(f8)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = x1 >= x1 = b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = x1 >= x1 = b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) = x1 + 1 >= x1 = c{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = x1 >= x1 = c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = x1 >= x1 = c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) f8(b)(b(b)(b(b)(b(f8)(x1)))) = x1 >= x1 = f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) = x1 >= x1 = f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) = x1 >= x1 = f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) = x1 >= x1 = b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) = x1 >= x1 = b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) = x1 >= x1 = b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) = x1 >= x1 = c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) = x1 >= x1 = c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) = x1 >= x1 = c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) = x1 + 1 >= x1 + 1 = c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) = x1 >= x1 = c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) = x1 >= x1 = c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(f8)(x1))) = x1 + 1 >= x1 = c(b)(b(b)(b(f8)(x1))) c(c)(c(c)(c(b)(x1))) = x1 >= x1 = c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) = x1 >= x1 = c(b)(b(b)(b(c)(x1))) problem: DPs: b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) -> b{#,(f8)}(f8(f8)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) TRS: f8(b)(b(b)(b(b)(b(f8)(x1)))) -> f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) -> f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) -> f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) -> b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) -> c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) Polynomial Interpretation Processor: dimension: 1 interpretation: [c(c)](x0) = x0, [f8(c)](x0) = x0, [c(f8)](x0) = x0 + 1, [f8(f8)](x0) = x0, [c(b)](x0) = x0, [f8(b)](x0) = x0, [b(c)](x0) = x0, [b(f8)](x0) = x0 + 1, [b(b)](x0) = x0, [b{#,(f8)}](x0) = x0 + 1, [c{#,(f8)}](x0) = x0 + 1 orientation: b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) = x1 + 2 >= x1 + 2 = c{#,(f8)}(f8(b)(b(f8)(x1))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) = x1 + 1 >= x1 + 1 = c{#,(f8)}(f8(b)(b(b)(x1))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) = x1 + 1 >= x1 + 1 = c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) = x1 + 2 >= x1 + 2 = b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) = x1 + 1 >= x1 + 1 = b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) = x1 + 2 >= x1 + 2 = c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) = x1 + 2 >= x1 + 2 = b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) c{#,(f8)}(f8(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) = x1 + 1 >= x1 + 1 = b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(f8)(x1))) = x1 + 2 >= x1 + 2 = c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) c{#,(f8)}(f8(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(c)(x1))) = x1 + 1 >= x1 + 1 = c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(f8)(x1)))) = x1 + 2 >= x1 + 1 = b{#,(f8)}(f8(f8)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = x1 + 1 >= x1 + 1 = b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = x1 + 1 >= x1 + 1 = b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = x1 + 1 >= x1 + 1 = b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = x1 + 1 >= x1 + 1 = b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = x1 + 1 >= x1 + 1 = c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = x1 + 1 >= x1 + 1 = c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) f8(b)(b(b)(b(b)(b(f8)(x1)))) = x1 + 1 >= x1 + 1 = f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) = x1 >= x1 = f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) = x1 >= x1 = f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) = x1 + 1 >= x1 + 1 = b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) = x1 >= x1 = b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) = x1 >= x1 = b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) = x1 + 1 >= x1 + 1 = c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) = x1 >= x1 = c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) = x1 >= x1 = c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) = x1 + 1 >= x1 + 1 = c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) = x1 >= x1 = c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) = x1 >= x1 = c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) = x1 >= x1 = c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) = x1 >= x1 = c(b)(b(b)(b(c)(x1))) problem: DPs: b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) TRS: f8(b)(b(b)(b(b)(b(f8)(x1)))) -> f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) -> f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) -> f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) -> b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) -> c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) Polynomial Interpretation Processor: dimension: 1 usable rules: f8(b)(b(b)(b(b)(b(f8)(x1)))) -> f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) -> f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) -> f8(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) -> c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) interpretation: [c(c)](x0) = x0, [f8(c)](x0) = x0, [c(f8)](x0) = 1, [c(b)](x0) = 0, [f8(b)](x0) = 0, [b(c)](x0) = 0, [b(f8)](x0) = 0, [b(b)](x0) = 0, [b{#,(f8)}](x0) = x0, [c{#,(f8)}](x0) = x0 orientation: b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) = 0 >= 0 = c{#,(f8)}(f8(b)(b(f8)(x1))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) = 0 >= 0 = c{#,(f8)}(f8(b)(b(b)(x1))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) = 0 >= 0 = c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) = 1 >= 1 = b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) = 0 >= 0 = b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) = x1 >= x1 = b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) = 1 >= 0 = c{#,(f8)}(f8(b)(b(c)(c(f8)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) = 0 >= 0 = c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) = x1 >= 0 = c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(f8)(x1))) = 1 >= 0 = b{#,(f8)}(f8(c)(c(b)(b(c)(c(f8)(x1))))) c{#,(f8)}(f8(c)(c(b)(x1))) = 0 >= 0 = b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) = x1 >= 0 = b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(f8)(x1))) = 1 >= 0 = c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(f8)(x1)))))) c{#,(f8)}(f8(c)(c(b)(x1))) = 0 >= 0 = c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(c)(x1))) = x1 >= 0 = c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = 0 >= 0 = b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = x1 >= x1 = b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = 0 >= 0 = b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = x1 >= 0 = b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = 0 >= 0 = c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = x1 >= 0 = c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) f8(b)(b(b)(b(b)(b(f8)(x1)))) = 0 >= 0 = f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) = 0 >= 0 = f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) = 0 >= 0 = f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) = 0 >= 0 = b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) = 0 >= 0 = b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) = 0 >= 0 = b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) = 0 >= 0 = c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) = 0 >= 0 = c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) = 0 >= 0 = c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) = 1 >= 0 = c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) = 0 >= 0 = c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) = x1 >= 0 = c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) = 0 >= 0 = c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) = x1 >= 0 = c(b)(b(b)(b(c)(x1))) problem: DPs: b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) -> b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) TRS: f8(b)(b(b)(b(b)(b(f8)(x1)))) -> f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) -> f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) -> f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) -> b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) -> c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) Polynomial Interpretation Processor: dimension: 1 usable rules: f8(b)(b(b)(b(b)(b(f8)(x1)))) -> f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) -> f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) -> f8(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) -> c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) interpretation: [c(c)](x0) = 0, [f8(c)](x0) = x0, [c(f8)](x0) = 1, [c(b)](x0) = 0, [f8(b)](x0) = 0, [b(c)](x0) = 0, [b(f8)](x0) = 0, [b(b)](x0) = 0, [b{#,(f8)}](x0) = 0, [c{#,(f8)}](x0) = x0 orientation: b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) = 0 >= 0 = c{#,(f8)}(f8(b)(b(f8)(x1))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) = 0 >= 0 = c{#,(f8)}(f8(b)(b(b)(x1))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) = 0 >= 0 = c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(f8)(x1))) = 1 >= 0 = b{#,(f8)}(f8(c)(c(f8)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) = 0 >= 0 = b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) = 0 >= 0 = b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) = 0 >= 0 = c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) = 0 >= 0 = c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) = 0 >= 0 = b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) = 0 >= 0 = b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(b)(x1))) = 0 >= 0 = c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(c)(x1))) = 0 >= 0 = c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = 0 >= 0 = b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = 0 >= 0 = b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = 0 >= 0 = b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = 0 >= 0 = b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = 0 >= 0 = c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = 0 >= 0 = c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) f8(b)(b(b)(b(b)(b(f8)(x1)))) = 0 >= 0 = f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) = 0 >= 0 = f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) = 0 >= 0 = f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) = 0 >= 0 = b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) = 0 >= 0 = b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) = 0 >= 0 = b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) = 0 >= 0 = c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) = 0 >= 0 = c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) = 0 >= 0 = c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) = 0 >= 0 = c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) = 0 >= 0 = c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) = 0 >= 0 = c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) = 0 >= 0 = c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) = 0 >= 0 = c(b)(b(b)(b(c)(x1))) problem: DPs: b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) -> c{#,(f8)}(f8(b)(b(f8)(x1))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) -> c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(b)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) TRS: f8(b)(b(b)(b(b)(b(f8)(x1)))) -> f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) -> f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) -> f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) -> b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) -> c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) Polynomial Interpretation Processor: dimension: 1 usable rules: f8(b)(b(b)(b(b)(b(f8)(x1)))) -> f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) -> f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) -> f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) -> b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) -> c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) interpretation: [c(c)](x0) = 1, [f8(c)](x0) = x0, [c(f8)](x0) = 0, [c(b)](x0) = 1, [f8(b)](x0) = x0, [b(c)](x0) = 0, [b(f8)](x0) = 0, [b(b)](x0) = 1, [b{#,(f8)}](x0) = 1, [c{#,(f8)}](x0) = x0 orientation: b{#,(f8)}(f8(b)(b(b)(b(f8)(x1)))) = 1 >= 0 = c{#,(f8)}(f8(b)(b(f8)(x1))) b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) = 1 >= 1 = c{#,(f8)}(f8(b)(b(b)(x1))) b{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) = 1 >= 0 = c{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) = 1 >= 1 = b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) = 1 >= 1 = b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) = 1 >= 0 = c{#,(f8)}(f8(b)(b(c)(c(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(x1))) = 1 >= 0 = c{#,(f8)}(f8(b)(b(c)(c(c)(x1)))) c{#,(f8)}(f8(c)(c(b)(x1))) = 1 >= 1 = b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) = 1 >= 1 = b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(b)(x1))) = 1 >= 0 = c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(b)(x1)))))) c{#,(f8)}(f8(c)(c(c)(x1))) = 1 >= 0 = c{#,(f8)}(f8(b)(b(c)(c(b)(b(c)(c(c)(x1)))))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = 1 >= 1 = b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = 1 >= 1 = b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = 1 >= 1 = b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = 1 >= 1 = b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = 1 >= 1 = c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = 1 >= 1 = c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) f8(b)(b(b)(b(b)(b(f8)(x1)))) = 1 >= 1 = f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) = 1 >= 1 = f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) = 1 >= 1 = f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) = 1 >= 0 = b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) = 1 >= 0 = b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) = 1 >= 0 = b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) = 1 >= 1 = c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) = 1 >= 1 = c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) = 1 >= 1 = c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) = 1 >= 1 = c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) = 1 >= 1 = c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) = 1 >= 1 = c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) = 1 >= 1 = c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) = 1 >= 1 = c(b)(b(b)(b(c)(x1))) problem: DPs: b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) TRS: f8(b)(b(b)(b(b)(b(f8)(x1)))) -> f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) -> f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) -> f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) -> b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) -> c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) Polynomial Interpretation Processor: dimension: 1 usable rules: f8(b)(b(b)(b(b)(b(f8)(x1)))) -> f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) -> f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) -> f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) -> b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) -> c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) interpretation: [c(c)](x0) = x0 + 1, [f8(c)](x0) = x0, [c(f8)](x0) = 0, [c(b)](x0) = x0 + 1, [f8(b)](x0) = x0, [b(c)](x0) = 0, [b(f8)](x0) = 0, [b(b)](x0) = x0 + 1, [b{#,(f8)}](x0) = x0, [c{#,(f8)}](x0) = x0 orientation: b{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) = x1 + 2 >= x1 + 1 = c{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) = x1 + 1 >= x1 + 1 = b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) = x1 + 1 >= x1 + 1 = b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) = x1 + 1 >= 1 = b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) = x1 + 1 >= 1 = b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = x1 + 2 >= x1 = b{#,(f8)}(f8(b)(x1)) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = x1 + 2 >= x1 = b{#,(f8)}(f8(c)(x1)) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = x1 + 2 >= x1 + 1 = b{#,(f8)}(f8(b)(b(b)(x1))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = x1 + 2 >= 0 = b{#,(f8)}(f8(b)(b(c)(x1))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = x1 + 2 >= x1 + 2 = c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) c{#,(f8)}(f8(c)(c(c)(c(c)(x1)))) = x1 + 2 >= 1 = c{#,(f8)}(f8(b)(b(b)(b(c)(x1)))) f8(b)(b(b)(b(b)(b(f8)(x1)))) = 2 >= 1 = f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 3 >= x1 + 2 = f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) = 2 >= 1 = f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) = 3 >= 0 = b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 4 >= 0 = b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) = 3 >= 0 = b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) = 3 >= 2 = c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 4 >= x1 + 3 = c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) = 3 >= 2 = c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) = 1 >= 1 = c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) = x1 + 2 >= 1 = c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) = x1 + 2 >= 1 = c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) = x1 + 3 >= x1 + 3 = c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) = x1 + 3 >= 2 = c(b)(b(b)(b(c)(x1))) problem: DPs: c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(x1))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(c)(x1))) c{#,(f8)}(f8(c)(c(b)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(b)(x1))))) c{#,(f8)}(f8(c)(c(c)(x1))) -> b{#,(f8)}(f8(c)(c(b)(b(c)(c(c)(x1))))) c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) TRS: f8(b)(b(b)(b(b)(b(f8)(x1)))) -> f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) -> f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) -> f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) -> b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) -> c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) SCC Processor: #sccs: 1 #rules: 1 #arcs: 288/25 DPs: c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) -> c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) TRS: f8(b)(b(b)(b(b)(b(f8)(x1)))) -> f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) -> f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) -> f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) -> b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) -> c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) Polynomial Interpretation Processor: dimension: 1 usable rules: f8(b)(b(b)(b(b)(b(f8)(x1)))) -> f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) -> f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) -> f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) -> b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) -> c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) interpretation: [c(c)](x0) = x0 + 1, [f8(c)](x0) = x0 + 1, [c(f8)](x0) = 0, [c(b)](x0) = x0 + 1, [f8(b)](x0) = x0, [b(c)](x0) = 0, [b(f8)](x0) = 1, [b(b)](x0) = x0 + 1, [c{#,(f8)}](x0) = x0 orientation: c{#,(f8)}(f8(c)(c(c)(c(b)(x1)))) = x1 + 3 >= x1 + 2 = c{#,(f8)}(f8(b)(b(b)(b(b)(x1)))) f8(b)(b(b)(b(b)(b(f8)(x1)))) = 3 >= 3 = f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 3 >= x1 + 3 = f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) = 2 >= 2 = f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) = 4 >= 0 = b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 4 >= 0 = b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) = 3 >= 0 = b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) = 4 >= 3 = c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) = x1 + 4 >= x1 + 3 = c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) = 3 >= 2 = c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) = 1 >= 1 = c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) = x1 + 2 >= 1 = c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) = x1 + 2 >= 1 = c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) = x1 + 3 >= x1 + 3 = c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) = x1 + 3 >= 2 = c(b)(b(b)(b(c)(x1))) problem: DPs: TRS: f8(b)(b(b)(b(b)(b(f8)(x1)))) -> f8(c)(c(b)(b(f8)(x1))) f8(b)(b(b)(b(b)(b(b)(x1)))) -> f8(c)(c(b)(b(b)(x1))) f8(b)(b(b)(b(b)(b(c)(x1)))) -> f8(c)(c(b)(b(c)(x1))) b(b)(b(b)(b(b)(b(f8)(x1)))) -> b(c)(c(b)(b(f8)(x1))) b(b)(b(b)(b(b)(b(b)(x1)))) -> b(c)(c(b)(b(b)(x1))) b(b)(b(b)(b(b)(b(c)(x1)))) -> b(c)(c(b)(b(c)(x1))) c(b)(b(b)(b(b)(b(f8)(x1)))) -> c(c)(c(b)(b(f8)(x1))) c(b)(b(b)(b(b)(b(b)(x1)))) -> c(c)(c(b)(b(b)(x1))) c(b)(b(b)(b(b)(b(c)(x1)))) -> c(c)(c(b)(b(c)(x1))) c(c)(c(f8)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(f8)(x1))))) c(c)(c(b)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(b)(x1))))) c(c)(c(c)(x1)) -> c(b)(b(c)(c(b)(b(c)(c(c)(x1))))) c(c)(c(c)(c(b)(x1))) -> c(b)(b(b)(b(b)(x1))) c(c)(c(c)(c(c)(x1))) -> c(b)(b(b)(b(c)(x1))) Qed