MAYBE

Problem:
 f(a(),a()) -> f(a(),b())
 f(a(),b()) -> f(s(a()),c())
 f(s(X),c()) -> f(X,c())
 f(c(),c()) -> f(a(),a())

Proof:
 DP Processor:
  DPs:
   f#(a(),a()) -> f#(a(),b())
   f#(a(),b()) -> f#(s(a()),c())
   f#(s(X),c()) -> f#(X,c())
   f#(c(),c()) -> f#(a(),a())
  TRS:
   f(a(),a()) -> f(a(),b())
   f(a(),b()) -> f(s(a()),c())
   f(s(X),c()) -> f(X,c())
   f(c(),c()) -> f(a(),a())
  CDG Processor:
   DPs:
    f#(a(),a()) -> f#(a(),b())
    f#(a(),b()) -> f#(s(a()),c())
    f#(s(X),c()) -> f#(X,c())
    f#(c(),c()) -> f#(a(),a())
   TRS:
    f(a(),a()) -> f(a(),b())
    f(a(),b()) -> f(s(a()),c())
    f(s(X),c()) -> f(X,c())
    f(c(),c()) -> f(a(),a())
   graph:
    f#(c(),c()) -> f#(a(),a()) -> f#(a(),a()) -> f#(a(),b())
    f#(s(X),c()) -> f#(X,c()) -> f#(s(X),c()) -> f#(X,c())
    f#(s(X),c()) -> f#(X,c()) -> f#(c(),c()) -> f#(a(),a())
    f#(a(),b()) -> f#(s(a()),c()) -> f#(s(X),c()) -> f#(X,c())
    f#(a(),a()) -> f#(a(),b()) -> f#(a(),b()) -> f#(s(a()),c())
   SCC Processor:
    #sccs: 1
    #rules: 4
    #arcs: 5/16
    DPs:
     f#(c(),c()) -> f#(a(),a())
     f#(a(),a()) -> f#(a(),b())
     f#(a(),b()) -> f#(s(a()),c())
     f#(s(X),c()) -> f#(X,c())
    TRS:
     f(a(),a()) -> f(a(),b())
     f(a(),b()) -> f(s(a()),c())
     f(s(X),c()) -> f(X,c())
     f(c(),c()) -> f(a(),a())
    Open