MAYBE

Problem:
 +(+(x,y),z) -> +(x,+(y,z))
 +(f(x),f(y)) -> f(+(x,y))
 +(f(x),+(f(y),z)) -> +(f(+(x,y)),z)

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