116.90/30.32 MAYBE 116.90/30.32 116.90/30.32 Proof: 116.90/30.32 ConCon could not decide confluence of the system. 116.90/30.32 \cite{ALS94}, Theorem 4.1 does not apply. 116.90/30.32 This system is of type 3 or smaller. 116.90/30.32 This system is strongly deterministic. 116.90/30.32 This system is of type 3 or smaller. 116.90/30.32 This system is deterministic. 116.90/30.32 ConCon could not decide if this system is quasi-decreasing. 116.90/30.32 \cite{O02}, p. 214, Proposition 7.2.50 does not apply. 116.90/30.32 This system is of type 3 or smaller. 116.90/30.32 This system is deterministic. 116.90/30.32 System R transformed to optimized U(R). 116.90/30.32 The external tool could not decide termination of the system. 116.90/30.32 Call external tool: 116.90/30.32 ./ttt2.sh 116.90/30.32 Input: 116.90/30.32 lt(x, 0) -> false 116.90/30.32 lt(0, s(y)) -> true 116.90/30.32 lt(s(x), s(y)) -> lt(x, y) 116.90/30.32 cons(x, cons(y, ys)) -> ?1(lt(x, y), x, y, ys) 116.90/30.32 ?1(true, x, y, ys) -> cons(y, cons(x, ys)) 116.90/30.32 116.90/30.32 116.90/30.33 EOF