MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   b(b(x1)) -> a(x1)
   b(c(c(x1))) -> c(c(b(c(b(x1)))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 18,
    
    [b](x0) = x0 + 1,
    
    [a](x0) = x0 + 2
   orientation:
    a(x1) = x1 + 2 >= x1 = x1
    
    b(b(x1)) = x1 + 2 >= x1 + 2 = a(x1)
    
    b(c(c(x1))) = x1 + 37 >= x1 + 56 = c(c(b(c(b(x1)))))
   problem:
    strict:
     b(b(x1)) -> a(x1)
     b(c(c(x1))) -> c(c(b(c(b(x1)))))
    weak:
     a(x1) -> x1
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = x0 + 6,
     
     [b](x0) = x0 + 1,
     
     [a](x0) = x0
    orientation:
     b(b(x1)) = x1 + 2 >= x1 = a(x1)
     
     b(c(c(x1))) = x1 + 13 >= x1 + 20 = c(c(b(c(b(x1)))))
     
     a(x1) = x1 >= x1 = x1
    problem:
     strict:
      b(c(c(x1))) -> c(c(b(c(b(x1)))))
     weak:
      b(b(x1)) -> a(x1)
      a(x1) -> x1
    Open