MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(x1)
   a(c(x1)) -> c(c(c(a(a(b(x1))))))
   b(b(x1)) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 5,
    
    [b](x0) = x0 + 1,
    
    [a](x0) = x0 + 1
   orientation:
    a(x1) = x1 + 1 >= x1 + 1 = b(x1)
    
    a(c(x1)) = x1 + 6 >= x1 + 18 = c(c(c(a(a(b(x1))))))
    
    b(b(x1)) = x1 + 2 >= x1 = x1
   problem:
    strict:
     a(x1) -> b(x1)
     a(c(x1)) -> c(c(c(a(a(b(x1))))))
    weak:
     b(b(x1)) -> x1
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = x0 + 4,
     
     [b](x0) = x0,
     
     [a](x0) = x0 + 1
    orientation:
     a(x1) = x1 + 1 >= x1 = b(x1)
     
     a(c(x1)) = x1 + 5 >= x1 + 14 = c(c(c(a(a(b(x1))))))
     
     b(b(x1)) = x1 >= x1 = x1
    problem:
     strict:
      a(c(x1)) -> c(c(c(a(a(b(x1))))))
     weak:
      a(x1) -> b(x1)
      b(b(x1)) -> x1
    Open