ceta_eq: termination proof not accepted 1: error below switch to dependency pairs 1.1: error below the dependency graph processor 1.1.2: error below the reduction pair processor 1.1.2.1: error when applying the reduction pair processor with usable rules to remove from the DP problem pairs: f#(mark(X1), X2, X3) -> f#(X1, X2, X3) f#(X1, mark(X2), X3) -> f#(X1, X2, X3) f#(X1, X2, mark(X3)) -> f#(X1, X2, X3) f#(X1, active(X2), X3) -> f#(X1, X2, X3) f#(X1, X2, active(X3)) -> f#(X1, X2, X3) rules: active(f(a, X, X)) -> mark(f(X, b, b)) active(b) -> mark(a) f(mark(X1), X2, X3) -> f(X1, X2, X3) f(X1, mark(X2), X3) -> f(X1, X2, X3) f(X1, X2, mark(X3)) -> f(X1, X2, X3) f(active(X1), X2, X3) -> f(X1, X2, X3) f(X1, active(X2), X3) -> f(X1, X2, X3) f(X1, X2, active(X3)) -> f(X1, X2, X3) mark(f(X1, X2, X3)) -> active(f(X1, mark(X2), X3)) mark(a) -> active(a) mark(b) -> active(b) the pairs f#(X1, active(X2), X3) -> f#(X1, X2, X3) f#(X1, X2, active(X3)) -> f#(X1, X2, X3) could not apply the generic root reduction pair processor with the following SCNP-version with mu = MS and the level mapping defined by pi(f#) = [(2,2),(3,3)] polynomial interpretration over naturals with negative constants Pol(f#(x_1, x_2, x_3)) = 0 Pol(mark(x_1)) = x_1 Pol(active(x_1)) = 1 + x_1 problem when orienting DPs cannot orient pair f#(X1, mark(X2), X3) -> f#(X1, X2, X3) weakly: [(mark(X2),2),(X3,3)] >=mu [(X2,2),(X3,3)] could not be ensured