Termination w.r.t. Q of the following Term Rewriting System could be proven:

Q restricted rewrite system:
The TRS R consists of the following rules:

b(b(c(a(b(c(x1)))))) → a(b(b(c(b(c(a(x1)))))))

Q is empty.


QTRS
  ↳ RFCMatchBoundsTRSProof

Q restricted rewrite system:
The TRS R consists of the following rules:

b(b(c(a(b(c(x1)))))) → a(b(b(c(b(c(a(x1)))))))

Q is empty.

Termination of the TRS R could be shown with a Match Bound [6,7] of 0. This implies Q-termination of R.
The following rules were used to construct the certificate:

b(b(c(a(b(c(x1)))))) → a(b(b(c(b(c(a(x1)))))))

The certificate found is represented by the following graph.

The certificate consists of the following enumerated nodes:

1, 2, 7, 8, 5, 6, 4, 3

Node 1 is start node and node 2 is final node.

Those nodes are connect through the following edges: