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 when applying the reduction pair processor with usable rules to remove from the DP problem
  pairs:
  
  minus#(mark(X1), X2) -> minus#(X1, X2)
  minus#(X1, mark(X2)) -> minus#(X1, X2)
  minus#(active(X1), X2) -> minus#(X1, X2)
  minus#(X1, active(X2)) -> minus#(X1, X2)
  rules:
  
  active(minus(0, Y)) -> mark(0)
  active(minus(s(X), s(Y))) -> mark(minus(X, Y))
  active(geq(X, 0)) -> mark(true)
  active(geq(0, s(Y))) -> mark(false)
  active(geq(s(X), s(Y))) -> mark(geq(X, Y))
  active(div(0, s(Y))) -> mark(0)
  active(div(s(X), s(Y))) -> mark(if(geq(X, Y), s(div(minus(X, Y), s(Y))), 0))
  active(if(true, X, Y)) -> mark(X)
  active(if(false, X, Y)) -> mark(Y)
  div(mark(X1), X2) -> div(X1, X2)
  div(X1, mark(X2)) -> div(X1, X2)
  div(active(X1), X2) -> div(X1, X2)
  div(X1, active(X2)) -> div(X1, X2)
  geq(mark(X1), X2) -> geq(X1, X2)
  geq(X1, mark(X2)) -> geq(X1, X2)
  geq(active(X1), X2) -> geq(X1, X2)
  geq(X1, active(X2)) -> geq(X1, X2)
  if(mark(X1), X2, X3) -> if(X1, X2, X3)
  if(X1, mark(X2), X3) -> if(X1, X2, X3)
  if(X1, X2, mark(X3)) -> if(X1, X2, X3)
  if(active(X1), X2, X3) -> if(X1, X2, X3)
  if(X1, active(X2), X3) -> if(X1, X2, X3)
  if(X1, X2, active(X3)) -> if(X1, X2, X3)
  mark(minus(X1, X2)) -> active(minus(X1, X2))
  mark(0) -> active(0)
  mark(s(X)) -> active(s(mark(X)))
  mark(geq(X1, X2)) -> active(geq(X1, X2))
  mark(true) -> active(true)
  mark(false) -> active(false)
  mark(div(X1, X2)) -> active(div(mark(X1), X2))
  mark(if(X1, X2, X3)) -> active(if(mark(X1), X2, X3))
  minus(mark(X1), X2) -> minus(X1, X2)
  minus(X1, mark(X2)) -> minus(X1, X2)
  minus(active(X1), X2) -> minus(X1, X2)
  minus(X1, active(X2)) -> minus(X1, X2)
  s(mark(X)) -> s(X)
  s(active(X)) -> s(X)
  
   the pairs 
  minus#(active(X1), X2) -> minus#(X1, 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(minus#) = [(epsilon,0),(1,1)]
  Argument Filter: 
  pi(minus#/2) = []
  pi(mark/1) = 1
  pi(active/1) = [1]
  
  RPO with the following precedence
  precedence(minus#[2]) = 0
  precedence(active[1]) = 1
  
  precedence(_) = 0
  and the following status
  status(minus#[2]) = lex
  status(active[1]) = lex
  
  status(_) = lex
  
  problem when orienting DPs
  cannot orient pair minus#(mark(X1), X2) -> minus#(X1, X2) weakly:
  [(minus#(mark(X1), X2),0),(mark(X1),1)] >=mu [(minus#(X1, X2),0),(X1,1)] could not be ensured