MAYBE

Problem:
 a(b(x1)) -> x1
 a(c(x1)) -> c(b(c(b(x1))))
 b(c(x1)) -> a(a(x1))

Proof:
 RT Transformation Processor:
  strict:
   a(b(x1)) -> x1
   a(c(x1)) -> c(b(c(b(x1))))
   b(c(x1)) -> a(a(x1))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0,
    
    [a](x0) = x0,
    
    [b](x0) = x0 + 1
   orientation:
    a(b(x1)) = x1 + 1 >= x1 = x1
    
    a(c(x1)) = x1 >= x1 + 2 = c(b(c(b(x1))))
    
    b(c(x1)) = x1 + 1 >= x1 = a(a(x1))
   problem:
    strict:
     a(c(x1)) -> c(b(c(b(x1))))
    weak:
     a(b(x1)) -> x1
     b(c(x1)) -> a(a(x1))
   Open