MAYBE

Problem:
 :(:(:(:(C(),x),y),z),u) -> :(:(x,z),:(:(:(x,y),z),u))

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