2.88/1.54 MAYBE 2.88/1.54 2.88/1.54 Proof: 2.88/1.54 ConCon could not decide confluence of the system. 2.88/1.54 \cite{ALS94}, Theorem 4.1 does not apply. 2.88/1.54 This system is of type 3 or smaller. 2.88/1.54 This system is strongly deterministic. 2.88/1.54 This system is of type 3 or smaller. 2.88/1.54 This system is deterministic. 2.88/1.54 This system is non-terminating. 2.88/1.54 Call external tool: 2.88/1.54 ./ttt2.sh 2.88/1.54 Input: 2.88/1.54 (VAR x) 2.88/1.54 (RULES 2.88/1.54 f(x) -> b 2.88/1.54 f(x) -> x 2.88/1.54 f(x) -> f(x) 2.88/1.54 a -> f(a) 2.88/1.54 f(x) -> x 2.88/1.54 ) 2.88/1.54 2.88/1.54 Containment Processor: loop length: 1 2.88/1.54 terms: 2.88/1.54 f(x) 2.88/1.54 context: [] 2.88/1.54 substitution: 2.88/1.54 x -> x 2.88/1.54 Qed 2.88/1.54 ConCon could not decide if this system is quasi-decreasing. 2.88/1.54 \cite{A14}, Theorem 11.5.9 does not apply. 2.88/1.54 This system is of type 3 or smaller. 2.88/1.54 This system is deterministic. 2.88/1.54 This system is non-terminating. 2.88/1.54 Call external tool: 2.88/1.54 ./ttt2.sh 2.88/1.54 Input: 2.88/1.54 (VAR x) 2.88/1.54 (RULES 2.88/1.54 f(x) -> b 2.88/1.54 f(x) -> x 2.88/1.54 f(x) -> f(x) 2.88/1.54 a -> f(a) 2.88/1.54 f(x) -> x 2.88/1.54 ) 2.88/1.54 2.88/1.54 Containment Processor: loop length: 1 2.88/1.54 terms: 2.88/1.54 f(x) 2.88/1.55 context: [] 2.88/1.55 substitution: 2.88/1.55 x -> x 2.88/1.55 Qed 2.88/1.55 2.88/1.57 EOF