MAYBE

Problem:
 op(i(x),op(y,z)) -> op(x,op(i(i(y)),z))
 op(i(x),op(y,op(z,w))) -> op(x,op(z,op(y,w)))
 i(x) -> x

Proof:
 RT Transformation Processor:
  strict:
   op(i(x),op(y,z)) -> op(x,op(i(i(y)),z))
   op(i(x),op(y,op(z,w))) -> op(x,op(z,op(y,w)))
   i(x) -> x
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [op](x0, x1) = x0 + x1,
    
    [i](x0) = x0 + 1
   orientation:
    op(i(x),op(y,z)) = x + y + z + 1 >= x + y + z + 2 = op(x,op(i(i(y)),z))
    
    op(i(x),op(y,op(z,w))) = w + x + y + z + 1 >= w + x + y + z = op(x,op(z,op(y,w)))
    
    i(x) = x + 1 >= x = x
   problem:
    strict:
     op(i(x),op(y,z)) -> op(x,op(i(i(y)),z))
    weak:
     op(i(x),op(y,op(z,w))) -> op(x,op(z,op(y,w)))
     i(x) -> x
   Open