MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(a(x1)) -> b(x1)
   b(c(x1)) -> a(x1)
   c(b(x1)) -> a(b(c(c(x1))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0,
    
    [b](x0) = x0 + 17,
    
    [a](x0) = x0 + 28
   orientation:
    a(a(x1)) = x1 + 56 >= x1 + 17 = b(x1)
    
    b(c(x1)) = x1 + 17 >= x1 + 28 = a(x1)
    
    c(b(x1)) = x1 + 17 >= x1 + 45 = a(b(c(c(x1))))
   problem:
    strict:
     b(c(x1)) -> a(x1)
     c(b(x1)) -> a(b(c(c(x1))))
    weak:
     a(a(x1)) -> b(x1)
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = x0 + 3,
     
     [b](x0) = x0 + 16,
     
     [a](x0) = x0 + 18
    orientation:
     b(c(x1)) = x1 + 19 >= x1 + 18 = a(x1)
     
     c(b(x1)) = x1 + 19 >= x1 + 40 = a(b(c(c(x1))))
     
     a(a(x1)) = x1 + 36 >= x1 + 16 = b(x1)
    problem:
     strict:
      c(b(x1)) -> a(b(c(c(x1))))
     weak:
      b(c(x1)) -> a(x1)
      a(a(x1)) -> b(x1)
    Open