MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(c(x1))
   a(c(b(x1))) -> b(a(a(c(x1))))
   b(b(x1)) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 13,
    
    [c](x0) = x0 + 11,
    
    [a](x0) = x0 + 5
   orientation:
    a(x1) = x1 + 5 >= x1 + 24 = b(c(x1))
    
    a(c(b(x1))) = x1 + 29 >= x1 + 34 = b(a(a(c(x1))))
    
    b(b(x1)) = x1 + 26 >= x1 = x1
   problem:
    strict:
     a(x1) -> b(c(x1))
     a(c(b(x1))) -> b(a(a(c(x1))))
    weak:
     b(b(x1)) -> x1
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [b](x0) = x0,
     
     [c](x0) = x0,
     
     [a](x0) = x0 + 1
    orientation:
     a(x1) = x1 + 1 >= x1 = b(c(x1))
     
     a(c(b(x1))) = x1 + 1 >= x1 + 2 = b(a(a(c(x1))))
     
     b(b(x1)) = x1 >= x1 = x1
    problem:
     strict:
      a(c(b(x1))) -> b(a(a(c(x1))))
     weak:
      a(x1) -> b(c(x1))
      b(b(x1)) -> x1
    Open