1.74/1.31 MAYBE 1.74/1.31 1.74/1.31 Proof: 1.74/1.31 ConCon could not decide confluence of the system. 1.74/1.31 \cite{GNG13}, Theorem 9 does not apply. 1.74/1.31 This system is of type 3 or smaller. 1.74/1.31 This system is deterministic. 1.74/1.31 This system is weakly left-linear. 1.74/1.31 This system is non-confluent. 1.74/1.31 Call external tool: 1.74/1.31 ./csi.sh 1.74/1.31 Input: 1.74/1.31 plus(0, y) -> y 1.74/1.31 plus(s(x), y) -> plus(x, s(y)) 1.74/1.31 f(x, y) -> ?1(plus(x, y), x, y) 1.74/1.31 ?1(plus(z, z'), x, y) -> z 1.74/1.31 1.74/1.31 Nonconfluence Processor: 1.74/1.31 terms: ?1(f5(),f6(),f7()) *<- ?1(plus(0(),f5()),f6(),f7()) ->* 0() 1.74/1.31 Qed 1.74/1.31 1.74/1.31 first automaton: 1.74/1.31 final states: {10} 1.74/1.31 transitions: 1.74/1.31 ?1(13,12,11) -> 10* 1.74/1.31 f5() -> 13* 1.74/1.31 f6() -> 12* 1.74/1.31 f7() -> 11* 1.74/1.31 1.74/1.31 second automaton: 1.74/1.31 final states: {14} 1.74/1.31 transitions: 1.74/1.31 0() -> 14* 1.74/1.31 1.74/1.34 EOF