MAYBE

Problem:
 *(x,+(y,z)) -> +(*(x,y),*(x,z))
 *(+(x,y),z) -> +(*(x,z),*(y,z))
 *(x,1()) -> x
 *(1(),y) -> y

Proof:
 DP Processor:
  DPs:
   *#(x,+(y,z)) -> *#(x,z)
   *#(x,+(y,z)) -> *#(x,y)
   *#(+(x,y),z) -> *#(y,z)
   *#(+(x,y),z) -> *#(x,z)
  TRS:
   *(x,+(y,z)) -> +(*(x,y),*(x,z))
   *(+(x,y),z) -> +(*(x,z),*(y,z))
   *(x,1()) -> x
   *(1(),y) -> y
  Open