1.97/1.57 MAYBE 1.97/1.57 1.97/1.57 Proof: 1.97/1.57 ConCon could not decide confluence of the system. 1.97/1.57 \cite{ALS94}, Theorem 4.1 does not apply. 1.97/1.57 This system is of type 3 or smaller. 1.97/1.57 This system is strongly deterministic. 1.97/1.57 This system is of type 3 or smaller. 1.97/1.57 This system is deterministic. 1.97/1.57 This system is non-terminating. 1.97/1.57 Call external tool: 1.97/1.57 ./ttt2.sh 1.97/1.57 Input: 1.97/1.57 (VAR x y) 1.97/1.57 (RULES 1.97/1.57 f(x, y) -> g(x) 1.97/1.57 f(x, y) -> c(g(x)) 1.97/1.57 f(x, y) -> h(x) 1.97/1.57 f(x, y) -> c(h(x)) 1.97/1.57 g(s(x)) -> x 1.97/1.57 h(s(x)) -> x 1.97/1.57 b -> b 1.97/1.57 h(x) -> x 1.97/1.57 s(x) -> x 1.97/1.57 c(x) -> x 1.97/1.57 g(x) -> x 1.97/1.57 f(x, y) -> x 1.97/1.57 f(x, y) -> y 1.97/1.57 ) 1.97/1.57 1.97/1.57 Containment Processor: loop length: 1 1.97/1.57 terms: 1.97/1.57 b() 1.97/1.57 context: [] 1.97/1.57 substitution: 1.97/1.57 1.97/1.57 Qed 1.97/1.57 ConCon could not decide if this system is quasi-decreasing. 1.97/1.57 \cite{A14}, Theorem 11.5.9 does not apply. 1.97/1.57 This system is of type 3 or smaller. 1.97/1.57 This system is deterministic. 1.97/1.57 This system is non-terminating. 1.97/1.57 Call external tool: 1.97/1.57 ./ttt2.sh 1.97/1.57 Input: 1.97/1.57 (VAR x y) 1.97/1.57 (RULES 1.97/1.57 f(x, y) -> g(x) 1.97/1.57 f(x, y) -> c(g(x)) 1.97/1.57 f(x, y) -> h(x) 1.97/1.57 f(x, y) -> c(h(x)) 1.97/1.57 g(s(x)) -> x 1.97/1.57 h(s(x)) -> x 1.97/1.57 b -> b 1.97/1.57 h(x) -> x 1.97/1.57 s(x) -> x 1.97/1.57 c(x) -> x 1.97/1.57 g(x) -> x 1.97/1.57 f(x, y) -> x 1.97/1.57 f(x, y) -> y 1.97/1.57 ) 1.97/1.57 1.97/1.57 Containment Processor: loop length: 1 1.97/1.57 terms: 1.97/1.57 b() 1.97/1.57 context: [] 1.97/1.57 substitution: 1.97/1.57 1.97/1.57 Qed 1.97/1.57 1.97/1.60 EOF