4.46/2.18 MAYBE 4.46/2.18 4.46/2.18 Proof: 4.46/2.18 ConCon could not decide confluence of the system. 4.46/2.18 \cite{ALS94}, Theorem 4.1 does not apply. 4.46/2.18 This system is of type 3 or smaller. 4.46/2.18 This system is strongly deterministic. 4.46/2.18 This system is of type 3 or smaller. 4.46/2.18 This system is deterministic. 4.46/2.18 This system is non-terminating. 4.46/2.18 Call external tool: 4.46/2.18 ./ttt2.sh 4.46/2.18 Input: 4.46/2.18 (VAR y' x'' x y'' y x') 4.46/2.18 (RULES 4.46/2.18 ?2(x, x', x'', x) -> h(x, f(x, b)) 4.46/2.18 ?1(x, x', x'') -> ?2(x'', x', x'', x) 4.46/2.18 f(x', x'') -> ?1(x', x', x'') 4.46/2.18 ?4(y, y', y'', y) -> h(y, f(g(y), a)) 4.46/2.18 ?3(y, y', y'') -> ?4(y'', y', y'', y) 4.46/2.18 f(g(y'), y'') -> ?3(y', y', y'') 4.46/2.18 a -> b 4.46/2.18 ) 4.46/2.18 4.46/2.18 Unfolding Processor: 4.46/2.18 loop length: 3 4.46/2.18 terms: 4.46/2.18 ?2(b(),b(),b(),b()) 4.46/2.18 h(b(),f(b(),b())) 4.46/2.18 h(b(),?1(b(),b(),b())) 4.46/2.18 context: h(b(),[]) 4.46/2.18 substitution: 4.46/2.18 4.46/2.18 Qed 4.46/2.18 ConCon could not decide if this system is quasi-decreasing. 4.46/2.18 \cite{O02}, p. 214, Proposition 7.2.50 does not apply. 4.46/2.18 This system is of type 3 or smaller. 4.46/2.18 This system is deterministic. 4.46/2.18 This system is non-terminating. 4.46/2.18 Call external tool: 4.46/2.18 ./ttt2.sh 4.46/2.18 Input: 4.46/2.18 (VAR y' x'' x y'' y x') 4.46/2.18 (RULES 4.46/2.18 ?2(x, x', x'', x) -> h(x, f(x, b)) 4.46/2.18 ?1(x, x', x'') -> ?2(x'', x', x'', x) 4.46/2.18 f(x', x'') -> ?1(x', x', x'') 4.46/2.18 ?4(y, y', y'', y) -> h(y, f(g(y), a)) 4.46/2.18 ?3(y, y', y'') -> ?4(y'', y', y'', y) 4.46/2.18 f(g(y'), y'') -> ?3(y', y', y'') 4.46/2.18 a -> b 4.46/2.18 ) 4.46/2.18 4.46/2.18 Unfolding Processor: 4.46/2.18 loop length: 3 4.46/2.18 terms: 4.46/2.19 ?2(b(),b(),b(),b()) 4.46/2.19 h(b(),f(b(),b())) 4.46/2.19 h(b(),?1(b(),b(),b())) 4.46/2.19 context: h(b(),[]) 4.46/2.19 substitution: 4.46/2.19 4.46/2.19 Qed 4.46/2.19 5.20/2.29 EOF