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),(2,0)]
 Argument Filter: 
 pi(dfib#/2) = 1
 pi(s/1) = [1]
 pi(dfib/2) = 2
 
 RPO with the following precedence
 precedence(s[1]) = 0
 
 precedence(_) = 0
 and the following status
 status(s[1]) = lex
 
 status(_) = lex
 
 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),(y,0)] >mu [(dfib#(s(x), dfib(x, y)),0),(dfib(x, y),0)] could not be ensured