2.89/1.59 MAYBE 2.89/1.59 2.89/1.59 Proof: 2.89/1.59 ConCon could not decide confluence of the system. 2.89/1.59 \cite{ALS94}, Theorem 4.1 does not apply. 2.89/1.59 This system is of type 3 or smaller. 2.89/1.59 This system is strongly deterministic. 2.89/1.59 This system is of type 3 or smaller. 2.89/1.59 This system is deterministic. 2.89/1.59 This system is non-terminating. 2.89/1.59 Call external tool: 2.89/1.59 ./ttt2.sh 2.89/1.59 Input: 2.89/1.59 (VAR x) 2.89/1.59 (RULES 2.89/1.59 f(a, x) -> a 2.89/1.59 f(b, x) -> b 2.89/1.59 ?1(a, x) -> c 2.89/1.59 g(a, x) -> ?1(f(x, a), x) 2.89/1.59 ?2(b, x) -> d 2.89/1.59 g(x, a) -> ?2(f(x, b), x) 2.89/1.59 c -> c 2.89/1.59 ) 2.89/1.59 2.89/1.59 Containment Processor: loop length: 1 2.89/1.59 terms: 2.89/1.59 c() 2.89/1.59 context: [] 2.89/1.59 substitution: 2.89/1.59 2.89/1.59 Qed 2.89/1.59 ConCon could not decide if this system is quasi-decreasing. 2.89/1.59 \cite{O02}, p. 214, Proposition 7.2.50 does not apply. 2.89/1.59 This system is of type 3 or smaller. 2.89/1.59 This system is deterministic. 2.89/1.59 This system is non-terminating. 2.89/1.59 Call external tool: 2.89/1.59 ./ttt2.sh 2.89/1.59 Input: 2.89/1.59 (VAR x) 2.89/1.59 (RULES 2.89/1.59 f(a, x) -> a 2.89/1.59 f(b, x) -> b 2.89/1.59 ?1(a, x) -> c 2.89/1.59 g(a, x) -> ?1(f(x, a), x) 2.89/1.59 ?2(b, x) -> d 2.89/1.59 g(x, a) -> ?2(f(x, b), x) 2.89/1.59 c -> c 2.89/1.59 ) 2.89/1.59 2.89/1.59 Containment Processor: loop length: 1 2.89/1.59 terms: 2.89/1.59 c() 2.89/1.59 context: [] 2.89/1.59 substitution: 2.89/1.59 2.89/1.59 Qed 2.89/1.59 2.89/1.62 EOF