1.30/1.03 MAYBE 1.30/1.03 1.30/1.03 Proof: 1.30/1.03 ConCon could not decide confluence of the system. 1.30/1.03 \cite{ALS94}, Theorem 4.1 does not apply. 1.30/1.04 This system is of type 3 or smaller. 1.30/1.04 This system is strongly deterministic. 1.30/1.04 This system is of type 3 or smaller. 1.30/1.04 This system is deterministic. 1.30/1.04 This system is non-terminating. 1.30/1.04 Call external tool: 1.30/1.04 ./ttt2.sh 1.30/1.04 Input: 1.30/1.04 f(x, y) -> ?1(a, x, y) 1.30/1.04 ?1(d, x, y) -> g(x) 1.30/1.04 h(s(x)) -> x 1.30/1.04 g(s(x)) -> x 1.30/1.04 b -> d 1.30/1.04 e -> e 1.30/1.04 a -> d 1.30/1.04 f(x, y) -> ?2(b, x, y) 1.30/1.04 ?2(d, x, y) -> h(x) 1.30/1.04 1.30/1.04 Containment Processor: loop length: 1 1.30/1.04 terms: 1.30/1.04 e() 1.30/1.04 context: [] 1.30/1.04 substitution: 1.30/1.04 1.30/1.04 Qed 1.30/1.04 ConCon could not decide if this system is quasi-decreasing. 1.30/1.04 \cite{O02}, p. 214, Proposition 7.2.50 does not apply. 1.30/1.04 This system is of type 3 or smaller. 1.30/1.04 This system is deterministic. 1.30/1.04 This system is non-terminating. 1.30/1.04 Call external tool: 1.30/1.04 ./ttt2.sh 1.30/1.04 Input: 1.30/1.04 f(x, y) -> ?1(a, x, y) 1.30/1.04 ?1(d, x, y) -> g(x) 1.30/1.04 h(s(x)) -> x 1.30/1.04 g(s(x)) -> x 1.30/1.04 b -> d 1.30/1.04 e -> e 1.30/1.04 a -> d 1.30/1.04 f(x, y) -> ?2(b, x, y) 1.30/1.04 ?2(d, x, y) -> h(x) 1.30/1.04 1.30/1.04 Containment Processor: loop length: 1 1.30/1.04 terms: 1.30/1.04 e() 1.30/1.04 context: [] 1.30/1.04 substitution: 1.30/1.04 1.30/1.04 Qed 1.30/1.04 2.06/1.06 EOF