MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(b(x1))
   b(b(c(x1))) -> c(b(c(a(x1))))
   c(c(x1)) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 21,
    
    [b](x0) = x0 + 9,
    
    [a](x0) = x0 + 2
   orientation:
    a(x1) = x1 + 2 >= x1 + 18 = b(b(x1))
    
    b(b(c(x1))) = x1 + 39 >= x1 + 53 = c(b(c(a(x1))))
    
    c(c(x1)) = x1 + 42 >= x1 = x1
   problem:
    strict:
     a(x1) -> b(b(x1))
     b(b(c(x1))) -> c(b(c(a(x1))))
    weak:
     c(c(x1)) -> x1
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = x0 + 1,
     
     [b](x0) = x0 + 20,
     
     [a](x0) = x0 + 5
    orientation:
     a(x1) = x1 + 5 >= x1 + 40 = b(b(x1))
     
     b(b(c(x1))) = x1 + 41 >= x1 + 27 = c(b(c(a(x1))))
     
     c(c(x1)) = x1 + 2 >= x1 = x1
    problem:
     strict:
      a(x1) -> b(b(x1))
     weak:
      b(b(c(x1))) -> c(b(c(a(x1))))
      c(c(x1)) -> x1
    Open