2.01/1.58 MAYBE 2.01/1.58 2.01/1.58 Proof: 2.01/1.59 ConCon could not decide confluence of the system. 2.01/1.59 \cite{ALS94}, Theorem 4.1 does not apply. 2.01/1.59 This system is of type 3 or smaller. 2.01/1.59 This system is strongly deterministic. 2.01/1.59 This system is of type 3 or smaller. 2.01/1.59 This system is deterministic. 2.01/1.59 This system is non-terminating. 2.01/1.59 Call external tool: 2.01/1.59 ./ttt2.sh 2.01/1.59 Input: 2.01/1.59 (VAR x y) 2.01/1.59 (RULES 2.01/1.59 f(x, y) -> g(x) 2.01/1.59 f(x, y) -> a 2.01/1.59 f(x, y) -> h(x) 2.01/1.59 f(x, y) -> b 2.01/1.59 g(s(x)) -> x 2.01/1.59 h(s(x)) -> x 2.01/1.59 a -> d 2.01/1.59 b -> d 2.01/1.59 e -> e 2.01/1.59 h(x) -> x 2.01/1.59 s(x) -> x 2.01/1.59 g(x) -> x 2.01/1.59 f(x, y) -> x 2.01/1.59 f(x, y) -> y 2.01/1.59 ) 2.01/1.59 2.01/1.59 Containment Processor: loop length: 1 2.01/1.59 terms: 2.01/1.59 e() 2.01/1.59 context: [] 2.01/1.59 substitution: 2.01/1.59 2.01/1.59 Qed 2.01/1.59 ConCon could not decide if this system is quasi-decreasing. 2.01/1.59 \cite{A14}, Theorem 11.5.9 does not apply. 2.01/1.59 This system is of type 3 or smaller. 2.01/1.59 This system is deterministic. 2.01/1.59 This system is non-terminating. 2.01/1.59 Call external tool: 2.01/1.59 ./ttt2.sh 2.01/1.59 Input: 2.01/1.59 (VAR x y) 2.01/1.59 (RULES 2.01/1.59 f(x, y) -> g(x) 2.01/1.59 f(x, y) -> a 2.01/1.59 f(x, y) -> h(x) 2.01/1.59 f(x, y) -> b 2.01/1.59 g(s(x)) -> x 2.01/1.59 h(s(x)) -> x 2.01/1.59 a -> d 2.01/1.59 b -> d 2.01/1.59 e -> e 2.01/1.59 h(x) -> x 2.01/1.59 s(x) -> x 2.01/1.59 g(x) -> x 2.01/1.59 f(x, y) -> x 2.01/1.59 f(x, y) -> y 2.01/1.59 ) 2.01/1.59 2.01/1.59 Containment Processor: loop length: 1 2.01/1.59 terms: 2.01/1.59 e() 2.01/1.59 context: [] 2.01/1.59 substitution: 2.01/1.59 2.01/1.59 Qed 2.01/1.59 2.01/1.61 EOF