117.60/30.95 MAYBE 117.60/30.95 117.60/30.95 Proof: 117.60/30.95 ConCon could not decide confluence of the system. 117.60/30.95 \cite{ALS94}, Theorem 4.1 does not apply. 117.60/30.95 This system is of type 3 or smaller. 117.60/30.96 This system is strongly deterministic. 117.60/30.96 This system is of type 3 or smaller. 117.60/30.96 This system is deterministic. 117.60/30.96 ConCon could not decide if this system is quasi-decreasing. 117.60/30.96 \cite{O02}, p. 214, Proposition 7.2.50 does not apply. 117.60/30.96 This system is of type 3 or smaller. 117.60/30.96 This system is deterministic. 117.60/30.96 System R transformed to optimized U(R). 117.60/30.96 The external tool could not decide termination of the system. 117.60/30.96 Call external tool: 117.60/30.96 ./ttt2.sh 117.60/30.96 Input: 117.60/30.96 (VAR x y ys) 117.60/30.96 (RULES 117.60/30.96 lt(x, 0) -> false 117.60/30.96 lt(0, s(y)) -> true 117.60/30.96 lt(s(x), s(y)) -> lt(x, y) 117.60/30.96 cons(x, cons(y, ys)) -> ?1(lt(x, y), x, y, ys) 117.60/30.96 ?1(true, x, y, ys) -> cons(y, cons(x, ys)) 117.60/30.96 ) 117.60/30.96 117.60/30.96 117.60/30.97 EOF