3.48/1.44 MAYBE 3.48/1.44 3.48/1.44 Proof: 3.48/1.44 ConCon could not decide confluence of the system. 3.48/1.44 \cite{ALS94}, Theorem 4.1 does not apply. 3.48/1.44 This system is of type 3 or smaller. 3.48/1.44 This system is strongly deterministic. 3.48/1.44 This system is of type 3 or smaller. 3.48/1.44 This system is deterministic. 3.48/1.44 This system is non-terminating. 3.48/1.44 Call external tool: 3.48/1.44 ./ttt2.sh 3.48/1.44 Input: 3.48/1.44 ?2(x, x', x'', x) -> h(x, f(x, b)) 3.48/1.44 ?1(x, x', x'') -> ?2(x'', x', x'', x) 3.48/1.44 f(x', x'') -> ?1(x', x', x'') 3.48/1.44 ?4(y, y', y'', y) -> h(y, f(g(y), a)) 3.48/1.44 ?3(y, y', y'') -> ?4(y'', y', y'', y) 3.48/1.44 f(g(y'), y'') -> ?3(y', y', y'') 3.48/1.44 a -> b 3.48/1.44 3.48/1.44 Unfolding Processor: 3.48/1.44 loop length: 3 3.48/1.44 terms: 3.48/1.44 ?2(b(),b(),b(),b()) 3.48/1.44 h(b(),f(b(),b())) 3.48/1.44 h(b(),?1(b(),b(),b())) 3.48/1.44 context: h(b(),[]) 3.48/1.44 substitution: 3.48/1.44 3.48/1.44 Qed 3.48/1.44 ConCon could not decide if this system is quasi-decreasing. 3.48/1.44 \cite{O02}, p. 214, Proposition 7.2.50 does not apply. 3.48/1.44 This system is of type 3 or smaller. 3.48/1.44 This system is deterministic. 3.48/1.44 This system is non-terminating. 3.48/1.44 Call external tool: 3.48/1.44 ./ttt2.sh 3.48/1.44 Input: 3.48/1.44 ?2(x, x', x'', x) -> h(x, f(x, b)) 3.48/1.44 ?1(x, x', x'') -> ?2(x'', x', x'', x) 3.48/1.44 f(x', x'') -> ?1(x', x', x'') 3.48/1.44 ?4(y, y', y'', y) -> h(y, f(g(y), a)) 3.48/1.44 ?3(y, y', y'') -> ?4(y'', y', y'', y) 3.48/1.44 f(g(y'), y'') -> ?3(y', y', y'') 3.48/1.44 a -> b 3.48/1.44 3.48/1.44 Unfolding Processor: 3.48/1.44 loop length: 3 3.48/1.44 terms: 3.48/1.44 ?2(b(),b(),b(),b()) 3.48/1.44 h(b(),f(b(),b())) 3.48/1.44 h(b(),?1(b(),b(),b())) 3.48/1.44 context: h(b(),[]) 3.48/1.44 substitution: 3.48/1.44 3.48/1.44 Qed 3.48/1.44 3.48/1.47 EOF