MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(b(x1)) -> b(b(a(c(a(x1)))))
   b(x1) -> x1
   c(b(c(x1))) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 5,
    
    [b](x0) = x0 + 3,
    
    [a](x0) = x0
   orientation:
    a(x1) = x1 >= x1 = x1
    
    a(b(x1)) = x1 + 3 >= x1 + 11 = b(b(a(c(a(x1)))))
    
    b(x1) = x1 + 3 >= x1 = x1
    
    c(b(c(x1))) = x1 + 13 >= x1 = x1
   problem:
    strict:
     a(x1) -> x1
     a(b(x1)) -> b(b(a(c(a(x1)))))
    weak:
     b(x1) -> x1
     c(b(c(x1))) -> x1
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = x0 + 31,
     
     [b](x0) = x0 + 8,
     
     [a](x0) = x0 + 1
    orientation:
     a(x1) = x1 + 1 >= x1 = x1
     
     a(b(x1)) = x1 + 9 >= x1 + 49 = b(b(a(c(a(x1)))))
     
     b(x1) = x1 + 8 >= x1 = x1
     
     c(b(c(x1))) = x1 + 70 >= x1 = x1
    problem:
     strict:
      a(b(x1)) -> b(b(a(c(a(x1)))))
     weak:
      a(x1) -> x1
      b(x1) -> x1
      c(b(c(x1))) -> x1
    Open