ceta_eq: termination proof not accepted 1: error below switch to dependency pairs 1.1: error below the dependency graph processor 1.1.3: error when applying the reduction pair processor with usable rules to remove from the DP problem pairs: activate#(n____(X1, X2)) -> activate#(X1) activate#(n____(X1, X2)) -> activate#(X2) rules: U11(tt) -> tt U21(tt, V2) -> U22(isList(activate(V2))) U22(tt) -> tt U31(tt) -> tt U41(tt, V2) -> U42(isNeList(activate(V2))) U42(tt) -> tt U51(tt, V2) -> U52(isList(activate(V2))) U52(tt) -> tt U61(tt) -> tt U71(tt, P) -> U72(isPal(activate(P))) U72(tt) -> tt U81(tt) -> tt __(__(X, Y), Z) -> __(X, __(Y, Z)) __(X, nil) -> X __(nil, X) -> X __(X1, X2) -> n____(X1, X2) a -> n__a activate(n__nil) -> nil activate(n____(X1, X2)) -> __(activate(X1), activate(X2)) activate(n__a) -> a activate(n__e) -> e activate(n__i) -> i activate(n__o) -> o activate(n__u) -> u activate(X) -> X e -> n__e i -> n__i isList(V) -> U11(isNeList(activate(V))) isList(n__nil) -> tt isList(n____(V1, V2)) -> U21(isList(activate(V1)), activate(V2)) isNeList(V) -> U31(isQid(activate(V))) isNeList(n____(V1, V2)) -> U41(isList(activate(V1)), activate(V2)) isNeList(n____(V1, V2)) -> U51(isNeList(activate(V1)), activate(V2)) isNePal(V) -> U61(isQid(activate(V))) isNePal(n____(I, n____(P, I))) -> U71(isQid(activate(I)), activate(P)) isPal(V) -> U81(isNePal(activate(V))) isPal(n__nil) -> tt isQid(n__a) -> tt isQid(n__e) -> tt isQid(n__i) -> tt isQid(n__o) -> tt isQid(n__u) -> tt nil -> n__nil o -> n__o u -> n__u the pairs activate#(n____(X1, X2)) -> activate#(X1) activate#(n____(X1, X2)) -> activate#(X2) could not apply the generic root reduction pair processor with the following SCNP-version with mu = MS and the level mapping defined by pi(activate#) = [(epsilon,0),(1,0)] polynomial interpretration over naturals with negative constants Pol(activate#(x_1)) = 1 Pol(n____(x_1, x_2)) = 1 + x_2 + x_1 problem when orienting DPs cannot orient pair activate#(n____(X1, X2)) -> activate#(X1) strictly: [(activate#(n____(X1, X2)),0),(n____(X1, X2),0)] >mu [(activate#(X1),0),(X1,0)] could not be ensured