ceta_eq: termination proof not accepted
1: error below switch to dependency pairs
1.1: error when applying the reduction pair processor to remove from the DP problem
 pairs:
 
 dfib#(s(s(x)), y) -> dfib#(s(x), dfib(x, y))
 dfib#(s(s(x)), y) -> dfib#(x, y)
 rules:
 
 dfib(s(s(x)), y) -> dfib(s(x), dfib(x, y))
 
  the pairs 
 dfib#(s(s(x)), y) -> dfib#(s(x), dfib(x, y))
 dfib#(s(s(x)), y) -> dfib#(x, y)
 
 could not apply the generic root reduction pair processor with the following
 SCNP-version with mu = MS and the level mapping defined by 
 pi(dfib#) = [(epsilon,0),(1,0)]
 polynomial interpretration over naturals with negative constants
 Pol(dfib#(x_1, x_2)) = x_2
 Pol(s(x_1)) = 1 + x_1
 Pol(dfib(x_1, x_2)) = x_2
 problem when orienting DPs
 cannot orient pair dfib#(s(s(x)), y) -> dfib#(s(x), dfib(x, y)) strictly:
 [(dfib#(s(s(x)), y),0),(s(s(x)),0)] >mu [(dfib#(s(x), dfib(x, y)),0),(s(x),0)] could not be ensured