MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(x1) -> b(x1)
   b(x1) -> x1
   b(a(c(x1))) -> c(c(b(a(a(x1)))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 5,
    
    [b](x0) = x0 + 23,
    
    [a](x0) = x0 + 2
   orientation:
    a(x1) = x1 + 2 >= x1 = x1
    
    a(x1) = x1 + 2 >= x1 + 23 = b(x1)
    
    b(x1) = x1 + 23 >= x1 = x1
    
    b(a(c(x1))) = x1 + 30 >= x1 + 37 = c(c(b(a(a(x1)))))
   problem:
    strict:
     a(x1) -> b(x1)
     b(a(c(x1))) -> c(c(b(a(a(x1)))))
    weak:
     a(x1) -> x1
     b(x1) -> x1
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [c](x0) = x0,
     
     [b](x0) = x0 + 1,
     
     [a](x0) = x0 + 4
    orientation:
     a(x1) = x1 + 4 >= x1 + 1 = b(x1)
     
     b(a(c(x1))) = x1 + 5 >= x1 + 9 = c(c(b(a(a(x1)))))
     
     a(x1) = x1 + 4 >= x1 = x1
     
     b(x1) = x1 + 1 >= x1 = x1
    problem:
     strict:
      b(a(c(x1))) -> c(c(b(a(a(x1)))))
     weak:
      a(x1) -> b(x1)
      a(x1) -> x1
      b(x1) -> x1
    Open