MAYBE

Problem:
 c(c(c(y))) -> c(c(a(y,0())))
 c(a(a(0(),x),y)) -> a(c(c(c(0()))),y)
 c(y) -> y

Proof:
 DP Processor:
  DPs:
   c#(c(c(y))) -> c#(a(y,0()))
   c#(c(c(y))) -> c#(c(a(y,0())))
   c#(a(a(0(),x),y)) -> c#(0())
   c#(a(a(0(),x),y)) -> c#(c(0()))
   c#(a(a(0(),x),y)) -> c#(c(c(0())))
  TRS:
   c(c(c(y))) -> c(c(a(y,0())))
   c(a(a(0(),x),y)) -> a(c(c(c(0()))),y)
   c(y) -> y
  Restore Modifier:
   DPs:
    c#(c(c(y))) -> c#(a(y,0()))
    c#(c(c(y))) -> c#(c(a(y,0())))
    c#(a(a(0(),x),y)) -> c#(0())
    c#(a(a(0(),x),y)) -> c#(c(0()))
    c#(a(a(0(),x),y)) -> c#(c(c(0())))
   TRS:
    c(c(c(y))) -> c(c(a(y,0())))
    c(a(a(0(),x),y)) -> a(c(c(c(0()))),y)
    c(y) -> y
   SCC Processor:
    #sccs: 1
    #rules: 5
    #arcs: 25/25
    DPs:
     c#(c(c(y))) -> c#(a(y,0()))
     c#(c(c(y))) -> c#(c(a(y,0())))
     c#(a(a(0(),x),y)) -> c#(0())
     c#(a(a(0(),x),y)) -> c#(c(0()))
     c#(a(a(0(),x),y)) -> c#(c(c(0())))
    TRS:
     c(c(c(y))) -> c(c(a(y,0())))
     c(a(a(0(),x),y)) -> a(c(c(c(0()))),y)
     c(y) -> y
    Open