MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(c(x1))
   b(b(x1)) -> x1
   b(c(c(x1))) -> c(c(a(b(x1))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 4,
    
    [c](x0) = x0 + 16,
    
    [a](x0) = x0 + 13
   orientation:
    a(x1) = x1 + 13 >= x1 + 20 = b(c(x1))
    
    b(b(x1)) = x1 + 8 >= x1 = x1
    
    b(c(c(x1))) = x1 + 36 >= x1 + 49 = c(c(a(b(x1))))
   problem:
    strict:
     a(x1) -> b(c(x1))
     b(c(c(x1))) -> c(c(a(b(x1))))
    weak:
     b(b(x1)) -> x1
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [b](x0) = x0 + 17,
     
     [c](x0) = x0,
     
     [a](x0) = x0 + 18
    orientation:
     a(x1) = x1 + 18 >= x1 + 17 = b(c(x1))
     
     b(c(c(x1))) = x1 + 17 >= x1 + 35 = c(c(a(b(x1))))
     
     b(b(x1)) = x1 + 34 >= x1 = x1
    problem:
     strict:
      b(c(c(x1))) -> c(c(a(b(x1))))
     weak:
      a(x1) -> b(c(x1))
      b(b(x1)) -> x1
    Open