MAYBE

Problem:
 f(true(),x,y,z) -> f(gt(x,plus(y,z)),x,s(y),z)
 f(true(),x,y,z) -> f(gt(x,plus(y,z)),x,y,s(z))
 plus(n,0()) -> n
 plus(n,s(m)) -> s(plus(n,m))
 gt(0(),v) -> false()
 gt(s(u),0()) -> true()
 gt(s(u),s(v)) -> gt(u,v)

Proof:
 DP Processor:
  DPs:
   f#(true(),x,y,z) -> plus#(y,z)
   f#(true(),x,y,z) -> gt#(x,plus(y,z))
   f#(true(),x,y,z) -> f#(gt(x,plus(y,z)),x,s(y),z)
   f#(true(),x,y,z) -> f#(gt(x,plus(y,z)),x,y,s(z))
   plus#(n,s(m)) -> plus#(n,m)
   gt#(s(u),s(v)) -> gt#(u,v)
  TRS:
   f(true(),x,y,z) -> f(gt(x,plus(y,z)),x,s(y),z)
   f(true(),x,y,z) -> f(gt(x,plus(y,z)),x,y,s(z))
   plus(n,0()) -> n
   plus(n,s(m)) -> s(plus(n,m))
   gt(0(),v) -> false()
   gt(s(u),0()) -> true()
   gt(s(u),s(v)) -> gt(u,v)
  Open