1.32/1.05 MAYBE 1.32/1.05 1.32/1.05 Proof: 1.32/1.05 ConCon could not decide confluence of the system. 1.32/1.05 \cite{ALS94}, Theorem 4.1 does not apply. 1.32/1.05 This system is of type 3 or smaller. 1.32/1.05 This system is strongly deterministic. 1.32/1.05 This system is of type 3 or smaller. 1.32/1.05 This system is deterministic. 1.32/1.05 This system is non-terminating. 1.32/1.05 Call external tool: 1.32/1.05 ./ttt2.sh 1.32/1.05 Input: 1.32/1.05 h(s(x)) -> x 1.32/1.05 g(s(x)) -> x 1.32/1.05 b -> b 1.32/1.05 f(x, y) -> ?2(c(h(x)), x, y) 1.32/1.05 ?2(c(a), x, y) -> h(s(x)) 1.32/1.05 f(x, y) -> ?1(c(g(x)), x, y) 1.32/1.05 ?1(c(a), x, y) -> g(s(x)) 1.32/1.05 1.32/1.05 Containment Processor: loop length: 1 1.32/1.05 terms: 1.32/1.05 b() 1.32/1.05 context: [] 1.32/1.05 substitution: 1.32/1.05 1.32/1.05 Qed 1.32/1.05 ConCon could not decide if this system is quasi-decreasing. 1.32/1.05 \cite{O02}, p. 214, Proposition 7.2.50 does not apply. 1.32/1.05 This system is of type 3 or smaller. 1.32/1.05 This system is deterministic. 1.32/1.05 This system is non-terminating. 1.32/1.05 Call external tool: 1.32/1.05 ./ttt2.sh 1.32/1.05 Input: 1.32/1.05 h(s(x)) -> x 1.32/1.05 g(s(x)) -> x 1.32/1.05 b -> b 1.32/1.05 f(x, y) -> ?2(c(h(x)), x, y) 1.32/1.05 ?2(c(a), x, y) -> h(s(x)) 1.32/1.05 f(x, y) -> ?1(c(g(x)), x, y) 1.32/1.05 ?1(c(a), x, y) -> g(s(x)) 1.32/1.05 1.32/1.05 Containment Processor: loop length: 1 1.32/1.05 terms: 1.32/1.05 b() 1.32/1.05 context: [] 1.32/1.05 substitution: 1.32/1.05 1.32/1.05 Qed 1.32/1.05 2.08/1.07 EOF