MAYBE

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

Proof:
 DP Processor:
  DPs:
   *#(x,*(y,z)) -> *#(otimes(x,y),z)
   *#(+(x,y),z) -> *#(y,z)
   *#(+(x,y),z) -> *#(x,z)
   *#(x,oplus(y,z)) -> *#(x,z)
   *#(x,oplus(y,z)) -> *#(x,y)
  TRS:
   *(x,*(y,z)) -> *(otimes(x,y),z)
   *(1(),y) -> y
   *(+(x,y),z) -> oplus(*(x,z),*(y,z))
   *(x,oplus(y,z)) -> oplus(*(x,y),*(x,z))
  Usable Rule Processor:
   DPs:
    *#(x,*(y,z)) -> *#(otimes(x,y),z)
    *#(+(x,y),z) -> *#(y,z)
    *#(+(x,y),z) -> *#(x,z)
    *#(x,oplus(y,z)) -> *#(x,z)
    *#(x,oplus(y,z)) -> *#(x,y)
   TRS:
    
   EDG Processor:
    DPs:
     *#(x,*(y,z)) -> *#(otimes(x,y),z)
     *#(+(x,y),z) -> *#(y,z)
     *#(+(x,y),z) -> *#(x,z)
     *#(x,oplus(y,z)) -> *#(x,z)
     *#(x,oplus(y,z)) -> *#(x,y)
    TRS:
     
    graph:
     *#(+(x,y),z) -> *#(y,z) -> *#(x,*(y,z)) -> *#(otimes(x,y),z)
     *#(+(x,y),z) -> *#(y,z) -> *#(+(x,y),z) -> *#(y,z)
     *#(+(x,y),z) -> *#(y,z) -> *#(+(x,y),z) -> *#(x,z)
     *#(+(x,y),z) -> *#(y,z) -> *#(x,oplus(y,z)) -> *#(x,z)
     *#(+(x,y),z) -> *#(y,z) -> *#(x,oplus(y,z)) -> *#(x,y)
     *#(+(x,y),z) -> *#(x,z) -> *#(x,*(y,z)) -> *#(otimes(x,y),z)
     *#(+(x,y),z) -> *#(x,z) -> *#(+(x,y),z) -> *#(y,z)
     *#(+(x,y),z) -> *#(x,z) -> *#(+(x,y),z) -> *#(x,z)
     *#(+(x,y),z) -> *#(x,z) -> *#(x,oplus(y,z)) -> *#(x,z)
     *#(+(x,y),z) -> *#(x,z) -> *#(x,oplus(y,z)) -> *#(x,y)
     *#(x,oplus(y,z)) -> *#(x,z) -> *#(x,*(y,z)) -> *#(otimes(x,y),z)
     *#(x,oplus(y,z)) -> *#(x,z) -> *#(+(x,y),z) -> *#(y,z)
     *#(x,oplus(y,z)) -> *#(x,z) -> *#(+(x,y),z) -> *#(x,z)
     *#(x,oplus(y,z)) -> *#(x,z) -> *#(x,oplus(y,z)) -> *#(x,z)
     *#(x,oplus(y,z)) -> *#(x,z) -> *#(x,oplus(y,z)) -> *#(x,y)
     *#(x,oplus(y,z)) -> *#(x,y) -> *#(x,*(y,z)) -> *#(otimes(x,y),z)
     *#(x,oplus(y,z)) -> *#(x,y) -> *#(+(x,y),z) -> *#(y,z)
     *#(x,oplus(y,z)) -> *#(x,y) -> *#(+(x,y),z) -> *#(x,z)
     *#(x,oplus(y,z)) -> *#(x,y) -> *#(x,oplus(y,z)) -> *#(x,z)
     *#(x,oplus(y,z)) -> *#(x,y) -> *#(x,oplus(y,z)) -> *#(x,y)
     *#(x,*(y,z)) -> *#(otimes(x,y),z) ->
     *#(x,*(y,z)) -> *#(otimes(x,y),z)
     *#(x,*(y,z)) -> *#(otimes(x,y),z) ->
     *#(x,oplus(y,z)) -> *#(x,z)
     *#(x,*(y,z)) -> *#(otimes(x,y),z) -> *#(x,oplus(y,z)) -> *#(x,y)
    Restore Modifier:
     DPs:
      *#(x,*(y,z)) -> *#(otimes(x,y),z)
      *#(+(x,y),z) -> *#(y,z)
      *#(+(x,y),z) -> *#(x,z)
      *#(x,oplus(y,z)) -> *#(x,z)
      *#(x,oplus(y,z)) -> *#(x,y)
     TRS:
      *(x,*(y,z)) -> *(otimes(x,y),z)
      *(1(),y) -> y
      *(+(x,y),z) -> oplus(*(x,z),*(y,z))
      *(x,oplus(y,z)) -> oplus(*(x,y),*(x,z))
     SCC Processor:
      #sccs: 1
      #rules: 5
      #arcs: 23/25
      DPs:
       *#(+(x,y),z) -> *#(y,z)
       *#(x,oplus(y,z)) -> *#(x,y)
       *#(x,oplus(y,z)) -> *#(x,z)
       *#(+(x,y),z) -> *#(x,z)
       *#(x,*(y,z)) -> *#(otimes(x,y),z)
      TRS:
       *(x,*(y,z)) -> *(otimes(x,y),z)
       *(1(),y) -> y
       *(+(x,y),z) -> oplus(*(x,z),*(y,z))
       *(x,oplus(y,z)) -> oplus(*(x,y),*(x,z))
      Matrix Interpretation Processor:
       dimension: 1
       interpretation:
        [*#](x0, x1) = x0,
        
        [oplus](x0, x1) = 0,
        
        [+](x0, x1) = x0 + x1 + 1,
        
        [1] = 0,
        
        [otimes](x0, x1) = 0,
        
        [*](x0, x1) = x1
       orientation:
        *#(+(x,y),z) = x + y + 1 >= y = *#(y,z)
        
        *#(x,oplus(y,z)) = x >= x = *#(x,y)
        
        *#(x,oplus(y,z)) = x >= x = *#(x,z)
        
        *#(+(x,y),z) = x + y + 1 >= x = *#(x,z)
        
        *#(x,*(y,z)) = x >= 0 = *#(otimes(x,y),z)
        
        *(x,*(y,z)) = z >= z = *(otimes(x,y),z)
        
        *(1(),y) = y >= y = y
        
        *(+(x,y),z) = z >= 0 = oplus(*(x,z),*(y,z))
        
        *(x,oplus(y,z)) = 0 >= 0 = oplus(*(x,y),*(x,z))
       problem:
        DPs:
         *#(x,oplus(y,z)) -> *#(x,y)
         *#(x,oplus(y,z)) -> *#(x,z)
         *#(x,*(y,z)) -> *#(otimes(x,y),z)
        TRS:
         *(x,*(y,z)) -> *(otimes(x,y),z)
         *(1(),y) -> y
         *(+(x,y),z) -> oplus(*(x,z),*(y,z))
         *(x,oplus(y,z)) -> oplus(*(x,y),*(x,z))
       Open