1.98/1.55 MAYBE 1.98/1.55 1.98/1.55 Proof: 1.98/1.55 ConCon could not decide confluence of the system. 1.98/1.55 \cite{ALS94}, Theorem 4.1 does not apply. 1.98/1.55 This system is of type 3 or smaller. 1.98/1.55 This system is strongly deterministic. 1.98/1.55 This system is of type 3 or smaller. 1.98/1.55 This system is deterministic. 1.98/1.55 This system is non-terminating. 1.98/1.55 Call external tool: 1.98/1.55 ./ttt2.sh 1.98/1.55 Input: 1.98/1.55 (VAR x y) 1.98/1.55 (RULES 1.98/1.55 pin(x) -> pout(g(x)) 1.98/1.55 ?1(pout(g(y)), x) -> pout(f(y)) 1.98/1.55 pin(x) -> ?1(pin(x), x) 1.98/1.55 ) 1.98/1.55 1.98/1.55 Containment Processor: loop length: 1 1.98/1.55 terms: 1.98/1.55 pin(x) 1.98/1.55 context: ?1([],x) 1.98/1.55 substitution: 1.98/1.55 x -> x 1.98/1.55 Qed 1.98/1.55 ConCon could not decide if this system is quasi-decreasing. 1.98/1.55 \cite{O02}, p. 214, Proposition 7.2.50 does not apply. 1.98/1.55 This system is of type 3 or smaller. 1.98/1.55 This system is deterministic. 1.98/1.55 This system is non-terminating. 1.98/1.55 Call external tool: 1.98/1.55 ./ttt2.sh 1.98/1.55 Input: 1.98/1.55 (VAR x y) 1.98/1.55 (RULES 1.98/1.55 pin(x) -> pout(g(x)) 1.98/1.55 ?1(pout(g(y)), x) -> pout(f(y)) 1.98/1.55 pin(x) -> ?1(pin(x), x) 1.98/1.55 ) 1.98/1.55 1.98/1.55 Containment Processor: loop length: 1 1.98/1.55 terms: 1.98/1.56 pin(x) 1.98/1.56 context: ?1([],x) 1.98/1.56 substitution: 1.98/1.56 x -> x 1.98/1.56 Qed 1.98/1.56 1.98/1.57 EOF