1.97/1.55 MAYBE 1.97/1.55 1.97/1.55 Proof: 1.97/1.55 ConCon could not decide confluence of the system. 1.97/1.55 \cite{ALS94}, Theorem 4.1 does not apply. 1.97/1.55 This system is of type 3 or smaller. 1.97/1.55 This system is strongly deterministic. 1.97/1.55 This system is of type 3 or smaller. 1.97/1.55 This system is deterministic. 1.97/1.55 This system is non-terminating. 1.97/1.55 Call external tool: 1.97/1.55 ./ttt2.sh 1.97/1.55 Input: 1.97/1.55 (VAR x) 1.97/1.55 (RULES 1.97/1.55 pin(x) -> pout(g(x)) 1.97/1.55 pin(x) -> pout(f(pin(x))) 1.97/1.55 pin(x) -> pin(x) 1.97/1.55 f(x) -> x 1.97/1.55 g(x) -> x 1.97/1.55 pout(x) -> x 1.97/1.55 pin(x) -> x 1.97/1.55 ) 1.97/1.55 1.97/1.55 Containment Processor: loop length: 1 1.97/1.55 terms: 1.97/1.55 pin(x) 1.97/1.55 context: pout(f([])) 1.97/1.55 substitution: 1.97/1.55 x -> x 1.97/1.55 Qed 1.97/1.55 ConCon could not decide if this system is quasi-decreasing. 1.97/1.55 \cite{A14}, Theorem 11.5.9 does not apply. 1.97/1.55 This system is of type 3 or smaller. 1.97/1.55 This system is deterministic. 1.97/1.55 This system is non-terminating. 1.97/1.55 Call external tool: 1.97/1.55 ./ttt2.sh 1.97/1.55 Input: 1.97/1.55 (VAR x) 1.97/1.55 (RULES 1.97/1.55 pin(x) -> pout(g(x)) 1.97/1.55 pin(x) -> pout(f(pin(x))) 1.97/1.55 pin(x) -> pin(x) 1.97/1.55 f(x) -> x 1.97/1.55 g(x) -> x 1.97/1.55 pout(x) -> x 1.97/1.55 pin(x) -> x 1.97/1.55 ) 1.97/1.55 1.97/1.55 Containment Processor: loop length: 1 1.97/1.55 terms: 1.97/1.55 pin(x) 1.97/1.55 context: pout(f([])) 1.97/1.55 substitution: 1.97/1.55 x -> x 1.97/1.55 Qed 1.97/1.55 1.97/1.57 EOF