NO Nontermination Proof

Nontermination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

c(a(b(a(x0)))) → a(b(a(b(c(c(a(x0)))))))

Proof

1 Loop

The following loop proves nontermination.

t0 = c(a(b(a(b(a(b(a(x58))))))))
→ε a(b(a(b(c(c(a(b(a(b(a(x58)))))))))))
→1.1.1.1.1 a(b(a(b(c(a(b(a(b(c(c(a(b(a(x58))))))))))))))
→1.1.1.1.1.1.1.1.1.1 a(b(a(b(c(a(b(a(b(c(a(b(a(b(c(c(a(x58)))))))))))))))))
→1.1.1.1.1.1.1.1.1 a(b(a(b(c(a(b(a(b(a(b(a(b(c(c(a(b(c(c(a(x58))))))))))))))))))))
= t4
where t4 = C[t0σ] and σ = {x58/b(c(c(a(b(c(c(a(x58))))))))} and C = a(b(a(b(☐))))